How to do double digit long division step by step?

How to do double digit long division step by step?

More books about long division for kids



How to do Long Division with Remainders?
When we are given a long division to do it will not always work out to a whole number. Sometimes there will be numbers left over. These are known as remainders. Taking an example similar to that on the Long Division page it becomes more

How to explain long division to children?

How to explain long division to children?
Solution for 531219 ÷ 579 - with remainder
Step 1Long division works from left to right. Since 579 will not go into 5, a grey 0 has been placed over the 5 and we combine the first two digits to make 53. In this case, 53 is still too small. A further 0 is added above 3 and a third digit is added to make 531. Note the other digits in the original

How to do Long division tricks for kids

"In arithmetic, long division is a standard procedure suitable for dividing simple or complex multidigit numbers. It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient. It enables computations involving arbitrarily large numbers to be performed

How to do long division with remainders?

 
Master Long Division Practice Workbook: Improve Your Math Fluency Series (Volume 8)
Basic Math and Pre-Algebra Workbook For Dummies Division, Ages 7-12 (Workbook w/Music CD)  Solution for 768978 ÷ 358 - with remainder
Step 1Long division works from left to right. Since 358 will not go into 7, a grey 0 has been placed over the 7 and we combine the first two digits to make 76. In this case, 76

How to do long division of large numbers?

How to divide larger numbers and do long division?
This is video for how to divide large numbers by doing long division with easy methods. This video describes that dividing the "Dividend" with "Divisor" to get the "Quotient" and "Remainder" if they exist. In the given example first "25" taken as the Dividend and "5" is will be the Divisor. Divide this value the multiplication is needed. For

How to teach long division with remainders?

 Master Long Division Practice Workbook: Improve Your Math Fluency Series (Volume 8)
Basic Math and Pre-Algebra Workbook For Dummies Division, Ages 7-12 (Workbook w/Music CD)  Solution for 76999 ÷ 123 - with remainder
Step 1Long division works from left to right. Since 123 will not go into 7, a grey 0 has been placed over the 7 and we combine the first two digits to make 76. In this case, 76

How to do long division of polynomials?

Divide 3x3 – 5x2 + 10x – 3  by  3x + 1

This division did not come out even. What am I supposed to do with the remainder? Think back to when you did long division with plain numbers. Sometimes there would be a remainder; for instance, if you divide 132 by 5:
...there is a remainder of 2. Remember how you handled that? You made a fraction,

How to do long division without a calculator?

How to teach long division without a calculator?

In the olden days, knowing how to divide large numbers was important. Basic long division is still good to know, so the following examples will show you how to divide a one-digit divisor into another number, and then how to find a remainder.

Recall that the divisor in a division problem is the number that you’re dividing by. When you’re

31st International Mathematical Olympiad 1990 Problems & Solutions

A1.  Chords AB and CD of a circle intersect at a point E inside the circle. Let M be an interior point of the segment EB. The tangent at E to the circle through D, E and M intersects the lines BC and AC at F and G respectively. Find EF/EG in terms of t = AM/AB. A2.  Take n ≥ 3 and consider a set E of 2n-1 distinct points on a circle. Suppose that exactly k of these points are

30th International Mathematical Olympiad 1989 Problems & Solutions

A1.  Prove that the set {1, 2, ... , 1989} can be expressed as the disjoint union of subsets A1, A2, ... , A117 in such a way that each Ai contains 17 elements and the sum of the elements in each Ai is the same. A2.  In an acute-angled triangle ABC, the internal bisector of angle A meets the circumcircle again at A1. Points B1 and C1 are defined similarly. Let A0 be the point of

29th International Mathematical Olympiad 1988 Problems & Solutions

A1.  Consider two coplanar circles of radii R > r with the same center. Let P be a fixed point on the smaller circle and B a variable point on the larger circle. The line BP meets the larger circle again at C. The perpendicular to BP at P meets the smaller circle again at A (if it is tangent to the circle at P, then A = P). (i)  Find the set of values of AB2 + BC2 + CA2. (ii)  Find the

28th International Mathematical Olympiad 1987 Problems & Solutions

A1.  Let pn(k) be the number of permutations of the set {1, 2, 3, ... , n} which have exactly k fixed points. Prove that the sum from k = 0 to n of (k pn(k) ) is n!. [A permutation f of a set S is a one-to-one mapping of S onto itself. An element i of S is called a fixed point if f(i) = i.] A2.  In an acute-angled triangle ABC the interior bisector of angle A meets BC at L

27th International Mathematical Olympiad 1986 Problems & Solutions

A1.  Let d be any positive integer not equal to 2, 5 or 13. Show that one can find distinct a, b in the set {2, 5, 13, d} such that ab - 1 is not a perfect square. A2.  Given a point P0 in the plane of the triangle A1A2A3. Define As = As-3 for all s >= 4. Construct a set of points P1, P2, P3, ... such that Pk+1 is the image of Pk under a rotation center Ak+1 through an angle

26th International Mathematical Olympiad 1985 Problems & Solutions

A1.  A circle has center on the side AB of the cyclic quadrilateral ABCD. The other three sides are tangent to the circle. Prove that AD + BC = AB. A2.  Let n and k be relatively prime positive integers with k < n. Each number in the set M = {1, 2, 3, ... , n-1} is colored either blue or white. For each i in M, both i and n-i have the same color. For each i in M not equal to

25th International Mathematical Olympiad 1984 Problems & Solutions

A1.  Prove that 0 ≤ yz + zx + xy - 2xyz ≤ 7/27, where x, y and z are non-negative real numbers satisfying x + y + z = 1. A2.  Find one pair of positive integers a, b such that ab(a+b) is not divisible by 7, but (a+b)7 - a7 - b7 is divisible by 77. A3.  Given points O and A in the plane. Every point in the plane is colored with one of a finite number of colors.

24th International Mathematical Olympiad 1983 Problems & Solutions

A1.  Find all functions f defined on the set of positive reals which take positive real values and satisfy:   f(x(f(y)) = yf(x) for all x, y; and f(x) → 0 as x → ∞. A2.  Let A be one of the two distinct points of intersection of two unequal coplanar circles C1 and C2 with centers O1 and O2 respectively. One of the common tangents to the circles touches C1 at P1 and C2 at P2,

23rd International Mathematical Olympiad 1982 Problems & Solutions

A1.  The function f(n) is defined on the positive integers and takes non-negative integer values. f(2) = 0, f(3) > 0, f(9999) = 3333 and for all m, n:       f(m+n) - f(m) - f(n) = 0 or 1. Determine f(1982). A2.  A non-isosceles triangle A1A2A3 has sides a1, a2, a3 with ai opposite Ai. Mi is the midpoint of side ai and Ti is the point where the incircle touches side ai. Denote

22nd International Mathematical Olympiad 1981 Problems & Solutions

A1.  P is a point inside the triangle ABC. D, E, F are the feet of the perpendiculars from P to the lines BC, CA, AB respectively. Find all P which minimise:         BC/PD + CA/PE + AB/PF. A2.  Take r such that 1 ≤ r ≤ n, and consider all subsets of r elements of the set {1, 2, ... , n}. Each subset has a smallest element. Let F(n,r) be the arithmetic mean of these smallest

21st International Mathematical Olympiad 1979 Problems & Solutions

A1.  Let m and n be positive integers such that:       m/n = 1 - 1/2 + 1/3 - 1/4 + ... - 1/1318 + 1/1319. Prove that m is divisible by 1979. A2.  A prism with pentagons A1A2A3A4A5 and B1B2B3B4B5 as the top and bottom faces is given. Each side of the two pentagons and each of the 25 segments AiBj is colored red or green. Every triangle whose vertices are vertices of the prism

20th International Mathematical Olympiad 1978 Problems & Solutions

A1.  m and n are positive integers with m < n. The last three decimal digits of 1978m are the same as the last three decimal digits of 1978n. Find m and n such that m + n has the least possible value. A2.  P is a point inside a sphere. Three mutually perpendicular rays from P intersect the sphere at points U, V and W. Q denotes the vertex diagonally opposite P in the

Number Games: Addition & Decimals

NumberKnowing simple sums and learning useful calculations can help you with everyday tasks.Addition Decimals

19th International Mathematical Olympiad 1977 Problems & Solutions

A1.  Construct equilateral triangles ABK, BCL, CDM, DAN on the inside of the square ABCD. Show that the midpoints of KL, LM, MN, NK and the midpoints of AK, BK, BL, CL, CM, DM, DN, AN form a regular dodecahedron. A2.  In a finite sequence of real numbers the sum of any seven successive terms is negative, and the sum of any eleven successive terms is positive. Determine the

18th International Mathematical Olympiad 1976 Problems & Solutions

A1.  A plane convex quadrilateral has area 32, and the sum of two opposite sides and a diagonal is 16. Determine all possible lengths for the other diagonal. A2.  Let P1(x) = x2 - 2, and Pi+1 = P1(Pi(x)) for i = 1, 2, 3, ... . Show that the roots of Pn(x) = x are real and distinct for all n. A3.  A rectangular box can be completely filled with unit cubes. If one

17th International Mathematical Olympiad 1975 Problems & Solutions

A1.  Let x1 ≥ x2 ≥ ... ≥ xn, and y1 ≥ y2 ≥ ... ≥ yn be real numbers. Prove that if zi is any permutation of the yi, then:       ∑1≤i≤n (xi - yi)2 ≤ ∑1≤i≤n (xi - zi)2. A2.  Let a1 < a2 < a3 < ... be positive integers. Prove that for every i ≥ 1, there are infinitely many an that can be written in the form an = rai + saj, with r, s positive integers and j > i. A3. 

16th International Mathematical Olympiad 1974 Problems & Solutions

A1.  Three players play the following game. There are three cards each with a different positive integer. In each round the cards are randomly dealt to the players and each receives the number of counters on his card. After two or more rounds, one player has received 20, another 10 and the third 9 counters. In the last round the player with 10 received the largest number of counters. Who

15th International Mathematical Olympiad 1973 Problems & Solutions

A1.  OP1, OP2, ... , OP2n+1 are unit vectors in a plane. P1, P2, ... , P2n+1 all lie on the same side of a line through O. Prove that |OP1 + ... + OP2n+1| ≥ 1. A2.  Can we find a finite set of non-coplanar points, such that given any two points, A and B, there are two others, C and D, with the lines AB and CD parallel and distinct? A3.  a and b are real numbers

14th International Mathematical Olympiad 1972 Problems & Solutions

A1.  Given any set of ten distinct numbers in the range 10, 11, ... , 99, prove that we can always find two disjoint subsets with the same sum. A2.  Given n > 4, prove that every cyclic quadrilateral can be dissected into n cyclic quadrilaterals. A3.  Prove that (2m)!(2n)! is a multiple of m!n!(m+n)! for any non-negative integers m and n. B1. 

13th International Mathematical Olympiad 1971 Problems & Solutions

A1.  Let En = (a1 - a2)(a1 - a3) ... (a1 - an) + (a2 - a1)(a2 - a3) ... (a2 - an) + ... + (an - a1)(an - a2) ... (an - an-1). Let Sn be the proposition that En ≥ 0 for all real ai. Prove that Sn is true for n = 3 and 5, but for no other n > 2. A2.  Let P1 be a convex polyhedron with vertices A1, A2, ... , A9. Let Pi be the polyhedron obtained from P1 by a translation that moves

Favorite Baby Parenting Books

These are my favorite parenting books but I also include some books other parent friends swore by, even if I didn’t agree with the advice.The Baby Book: Everything You Need to Know About Your Baby from Birth to Age 2 (Revised and Updated Edition) by Sears and Sears.  This is my go-to guru.  But that is because I am a “family bed” proponent which is not for everyone.  He writes this with his

12th International Mathematical Olympiad 1970 Problems & Solutions

A1.  M is any point on the side AB of the triangle ABC. r, r1, r2 are the radii of the circles inscribed in ABC, AMC, BMC. q is the radius of the circle on the opposite side of AB to C, touching the three sides of AB and the extensions of CA and CB. Similarly, q1 and q2. Prove that r1r2q = rq1q2. A2.  We have 0 ≤ xi < b for i = 0, 1, ... , n and xn > 0, xn-1 > 0. If a > b, and

11th International Mathematical Olympiad 1969 Problems & Solutions

A1.  Prove that there are infinitely many positive integers m, such that n4 + m is not prime for any positive integer n. A2.  Let f(x) = cos(a1 + x) + 1/2 cos(a2 + x) + 1/4 cos(a3 + x) + ... + 1/2n-1 cos(an + x), where ai are real constants and x is a real variable. If f(x1) = f(x2) = 0, prove that x1 - x2 is a multiple of π. A3.  For each of k = 1, 2, 3, 4, 5 find

10th International Mathematical Olympiad 1968 Problems & Solutions

A1.  Find all triangles whose side lengths are consecutive integers, and one of whose angles is twice another. A2.  Find all natural numbers n the product of whose decimal digits is n2 - 10n - 22. A3.  a, b, c are real with a non-zero. x1, x2, ... , xn satisfy the n equations:         axi2 + bxi + c = xi+1, for 1 ≤ i < n         axn2 + bxn + c = x1 Prove that

9th International Mathematical Olympiad 1967 Problems & Solutions

A1.  The parallelogram ABCD has AB = a, AD = 1, angle BAD = A, and the triangle ABD has all angles acute. Prove that circles radius 1 and center A, B, C, D cover the parallelogram iff             a ≤ cos A + √3 sin A. A2.  Prove that a tetrahedron with just one edge length greater than 1 has volume at most 1/8. A3.  Let k, m, n be natural numbers such that m + k

8th International Mathematical Olympiad 1966 Problems & Solutions

A1.  Problems A, B and C were posed in a mathematical contest. 25 competitors solved at least one of the three. Amongst those who did not solve A, twice as many solved B as C. The number solving only A was one more than the number solving A and at least one other. The number solving just A equalled the number solving just B plus the number solving just C. How many solved just B?

7th International Mathematical Olympiad 1965 Problems & Solutions

A1.  Find all x in the interval [0, 2p] which satisfy:         2 cos x = |v(1 + sin 2x) - v(1 - sin 2x)| = v2. A2.  The coefficients aij of the following equations         a11x1 + a12 x2+ a13 x3 = 0        a21x1 + a22x2 + a23x3 = 0        a31x1 + a32x2 + a33x3 = 0 satisfy the following: (a) a11, a22, a33 are positive, (b) other aij are negative, (c) the sum of the coefficients

6th International Mathematical Olympiad 1964 Problems & Solutions

A1. (a)  Find all natural numbers n for which 7 divides 2n - 1.(b)  Prove that there is no natural number n for which 7 divides 2n + 1. A2.  Suppose that a, b, c are the sides of a triangle. Prove that:     a2(b + c - a) + b2(c + a - b) + c2(a + b - c) ≤ 3abc. A3.  Triangle ABC has sides a, b, c. Tangents to the inscribed circle are constructed parallel to the

5th International Mathematical Olympiad 1963 Problems & Solutions

A1.  For which real values of p does the equation         √(x2 - p) + 2 √(x2 - 1) = x have real roots? What are the roots? A2.  Given a point A and a segment BC, determine the locus of all points P in space for which ∠APX = 90o for some X on the segment BC. A3.  An n-gon has all angles equal and the lengths of consecutive sides satisfy a1 ≥ a2 ≥ ... ≥ an. Prove

4th International Mathematical Olympiad 1962 Problems & Solutions

A1.  Find the smallest natural number with 6 as the last digit, such that if the final 6 is moved to the front of the number it is multiplied by 4. A2.  Find all real x satisfying: √(3 - x) - √(x + 1) > 1/2. A3.  The cube ABCDA'B'C'D' has upper face ABCD and lower face A'B'C'D' with A directly above A' and so on. The point x moves at constant speed along the

3rd International Mathematical Olympiad 1961 Problems & Solutions

A1.  Solve the following equations for x, y and z:        x + y + z = a;     x2 + y2 + z2 = b2;     xy = z2. What conditions must a and b satisfy for x, y and z to be distinct positive numbers? A2.  Let a, b, c be the sides of a triangle and A its area. Prove that:        a2 + b2 + c2 ≥ 4√3 AWhen do we have equality? A3.  Solve the equation cosnx - sinnx = 1,

2nd International Mathematical Olympiad 1960 Problems & Solutions

A1.  Determine all 3 digit numbers N which are divisible by 11 and where N/11 is equal to the sum of the squares of the digits of N. A2.  For what real values of x does the following inequality hold:        4x2/(1 - √(1 + 2x))2  <  2x + 9 ? A3.  In a given right triangle ABC, the hypoteneuse BC, length a, is divided into n equal parts with n an odd integer. The

1st International Mathematical Olympiad 1959 Problems & Solutions

A1.  Prove that (21n+4)/(14n+3) is irreducible for every natural number n. A2.  For what real values of x is √(x + √(2x-1)) + √(x - √(2x-1)) = A given (a) A = √2, (b) A = 1, (c) A = 2, where only non-negative real numbers are allowed in square roots and the root always denotes the non-negative root? A3.  Let a, b, c be real numbers. Given the equation for cos x:

3rd Chinese Mathematical Olympiad 1988 Problems & Solutions

A1.  a1, ... , an are reals, not all 0, such that there exist bi so that ∑1n bi(xi - ai) ≤ √(∑1n xi2) - √(∑1n ai2) for all real xi. Find the bi (in terms of the ai). A2.  ABCD is a cyclic quadrilateral. Its circumcircle has center O and radius R. The rays AB, BC, CD, DA meet the circle center O radius 2R at A', B', C', D' respectively. Show that A'B' + B'C' + C'D' + D'A' ≥ 2(

2nd Chinese Mathematical Olympiad 1987 Problems & Solutions

A1.  n is a positive integer. Show that zn+1 - zn - 1 = 0 has a root on the unit circle |z| = 1 iff n is congruent to 4 mod 6. A2.  An equilateral triangle side n is divided into n2 equilateral triangles of side 1 by lines parallel to its sides. The n(n+1)/2 vertices of the triangles are each labeled with a real number, so that if ABC and BCD are small triangles then the sum

1st Chinese Mathematical Olympiad 1986 Problems & Solutions

A1.  a1, a2, ... , an are reals. Show that if the sum of any two is non-negative, then for any non-negative real x1, x2, ... , xn with sum 1, we have a1x1 + a2x2 + ... + anxn ≥ a1x12 + a2x22 + ... + anxn2. Show that the converse is also true. A2.  ABC is a triangle. The altitude from A has length 12, the angle bisector from A has length 13. What is are the possible lengths for

8th Australian Mathematical Olympiad Problems 1987

A1.  ABC is an isosceles triangle with AB = AC. M is the midpoint of AC. D is a point on the arc BC of the circumcircle of BMC not containing M, and the ray BD meets the ray AC at E so that DE = MC. Show that MD2 = AC·CE and CE2 = BC·MD/2. A2.  Show that (2p)!/(p! p!) - 2 is a multiple of p if p is prime. A3.  A graph has 20 points and there is an edge between

7th Australian Mathematical Olympiad Problems 1986

A1.  Given a positive integer n and real k > 0, what is the largest possible value for (x1x2 + x2x3 + x3x4 + ... + xn-1xn), where xi are non-negative real numbers with sum k? A2.  What is the smallest tower of 100s that exceeds a tower of 100 threes? In other words, let a1 = 3, a2 = 33, and an+1 = 3an. Similarly, b1 = 100, b2 = 100100 etc. What is the smallest n for which bn >

6th Australian Mathematical Olympiad Problems 1985

A1.  Find the sum of the first n terms of 0, 1, 1, 2, 2, 3, 3, 4, 4, ... (each positive integer occurs twice). Show that the sum of the first m + n terms is mn larger than the sum of the first m - n terms. A2.  Show that any real values satisfying x + y + z = 5, xy + yz + zx = 3 lie between -1 and 13/3. A3.  A graph has 9 points and 36 edges. Each edge is

5th Australian Mathematical Olympiad Problems 1984

A1.  Show that there are no integers m, n such that 3 n4 - m4 = 131. A2.  ABC is equilateral. P and Q are points on BC such that BP = PQ = QC = BC/3. K is the semicircle on BC as diameter on the opposite side to A. The rays AP and AQ meet K at X and Y. Show that the arcs BX, XY and YX are all equal. A3.  The quartic x4 + (2a+1) x3 + (a-1)2x2 + bx + 4 factorises

4th Australian Mathematical Olympiad Problems 1983

A1.  Consider the following sequence: 1/1, 2/1, 1/2, 3/1, 2/2, 1/3, 4/1, 3/2, 2/3, 1/4, 5/1, ... , where we list all m/n with m+n = k in order of decreasing m, and then all m/n with m+n = k+1 etc. Each rational appears many times. Find the first five positions of 1/2. What is the position for the nth occurrence of 1/2? Find an expression for the first occurrence of p/q where p < q and p and

Z - Math terms glossary

z-axis The line in a three-dimensional coordinate system containing those points whose first and second coordinates are 0. zero angle An angle whose measure is zero.

Y - Math terms glossary

y-axis The vertical number line in a coordinate graph. The line in the coordinate plane, usually vertical, or in space, containing those points whose first coordinates (and third, in space) are 0. y-coordinate   The second coordinate of an ordered pair or ordered triple. Ex: in the coordinate pair (3,-2), the

X - Math terms glossary

x-axis  The horizontal number line in a coordinate graph. The line in the coordinate plane or in space, usually horizontal, containing those points whose second coordinates (and third, in space) are 0. x-coordinate  The first coordinate of an ordered pair or an ordered triple. Ex: in the coordinate pair (3,-8), the three is

W - Math terms glossary

walk The composite of a reflection and a translation parallel to the reflecting line, also known as a glide reflection. whole number Any of the numbers 0, 1, 2, 3, ... . width (of a rectangle) A dimensional of a rectangle or rectangular solid taken at right angles to the length.window That part of the plane that shows on the

V - Math terms glossary

value of a numerical expression  The number that is the result of evaluating a numerical expression. Ex: the value of 2+3X4 is 14. Remember, the order of operations says that multiplication must be done first when evaluating this.value of an algebraic expression The number that is the result of evaluating an

U - Math terms glossary

undefined terms A term used without a specific mathematical definition. uniform scale   A scale in which numbers that are equally spaced differ by the same amount. When creating a number line or coordinate grid system, you use a uniform scale. Ex: union of two sets The set of elements which are in at

T - Math terms glossary

table  An arrangement of data in rows and columns. Take-away Model for Subtraction If a quantity y is taken away from an original quantity x with the same units, the quantity left is x - y. tangent A line, ray, segment, or plane which intersects a curve or curved surface in exactly one point. tangent

S - Math terms glossary

scale factor of size transformation In similar figures, the ratio of a distance or length in an image to the corresponding distance or length in a preimage. Also called ratio of similitude. Ex: When comparing the following small right triangle to its similar large right triangle, we see a scale factor of 1/2 or 0.5.scalene

R - Math terms glossary

radius of a circle or sphere A segment connecting the center of a circle or a sphere with a point on that circle or sphere, also, the length of that segment. Plural is radii. rate  A quantity whose unit contains the word " per " or  " for each " or some synonym.Ex: miles per hour, beats per minute, candy bars for each childrate

Q - Math terms glossary

quadrant  One of the four parts into which the coordinate plane is divided by the x-axis and y-axis. Quadrants are labeled with Roman Numerals as shown below. quadrilateral A four-sided polygon. Examples: quadrillion  A word name for 1,000,000,000,000,000 or . quadrillionth  A word name for

P - Math terms glossary

palindrome A number or word that reads the same way from right to left as it does left to right. EX: BOB121A MAN A PLAN A CANAL PANAMAABLE WAS I ERE I SAW ELBA parabola The conic section formed by a plane parallel to an edge of the conical surface. paragraph proof A form of written proof in which conclusions and

O - Math terms glossary

oblique cone A cone whose axis is not perpendicular to its base. oblique figure A 3-dimensional figure in which the plane of the base(s) is not perpendicular to its axis or to the planes of its lateral surfaces. oblique line A line that is neither horizontal nor vertical. obtuse angle   An

N - Math terms glossary

natural number Any one of the numbers 1, 2, 3, ... . Also called positive integer. These are sometimes called "counting numbers". n-fold rotation symmetry A figure has n-fold rotation symmetry, where n is a positive integer, when a rotation of magnitude 360/n maps the figure onto itself, and no larger value of n has this property.

M - Math terms glossary

magnitude of rotation In a rotation, the amount that the preimage is turned about the center of rotation, measured in degrees from -180 (clockwise) to 180 (counterclockwise), +/- m

L - Math terms glossary

lattice point A point in the coordinate plane or in space with integer coordinates. legs of a right triangle Either side of a right triangle that is on the right angle. Segments are the legs of this right triangle. leg adjacent to an angle The side of the right triangle which

K - Math terms glossary

key in   To press keys or enter information into a calculator. key sequence A set of instructions for what to key in on a calculator. When writing out a key sequence, operations and symbols like parentheses are typically drawn in rectangles indicating what hey to press.EX: One key sequence for the expression would be *Remember

H - Math terms glossary

half turn A turn of 180°. height In a triangle or trapezoid, the segment from a vertex perpendicular to the line containing the opposite side; also, the length of that segment. In a prism or cylinder, the distance between the bases. In a pyramid or cone, the length of a segment from the vertex perpendicular to the plane of the base. Also

I - Math terms glossary

icosahedron A polyhedron with twenty faces. identity transformation A transformation that maps each point onto itself.if and only if statement A statement consisting of a conditional and its converse. Also called biconditional.EX:A quadrilateral is a square if and only if it is a rhombus and a rectangle.NOTE: The if and only

J - Math terms glossary

justification A definition, postulate, or theorem which enables a conclusion to be drawn. Ex: In the proof below, the justifications are in red.

F - Math terms glossary

face of polyhedron Any of the polygonal regions that form the surface of a polyhedron. factor A number that divides another number exactly. Also called divisor.figure A set of points.finite decimal  A decimal that ends. Also called terminating decimals.flip A transformation in which each point is mapped onto its

G - Math terms glossary

gallon (gal) A unit of capacity in the U.S. system of measurement equal to 4 quarts. generalization   A statement that is true about many instances.glide reflection The composite of a reflection and a translation parallel to the reflecting line, also known as a walk.gores Tapered sections of a net for a spherical object. grade

E - Math terms glossary

edge Any side of a polyhedron's faces. elevations Two-dimensional views of three-dimensional figures given from the top, front, or sides. Elevations usually include measurements and a scale.empty set A set containing no elements. Also know as the null set. Symbols used to denote this set are, . endpoint A point at the end

D - Math terms glossary

decagon A ten-sided polygon. decimal notation  The notation in which numbers are written using ten digits and each place stands for a power of ten.Ex: 34 means 3 tens and 4 ones.decimal system  The system in which numbers are written in decimal notation.deduction The process of making justified conclusions.definition

B - Math terms glossary

bar graph A graph in which information is represented using bars of various lengths to show values of a particular category. base  Given , or x^n, the "x" is the base. The base number gets multiplied by itself the number of times indicated by the exponent, "n". Ex:2^3 = 2x2x2.base of a triangle  The side

C - Math terms glossary

capacity The number of unit cubes or parts of unit cubes that can be fit into a solid. Also called volume. cartesian plane Name given to the plane containing points identified as ordered pairs of real numbers. Also called coordinate plane. center of a circle The given point from which the set of points of the

A - Math terms glossary

absolute value  The absolute value of a number is the distance that number is from zero. The absolute value of a positive number or zero is that number.  The absolute value of a negative number is the opposite of that number, and the absolute value of zero is zero which is neither positive or negative.Ex:|3| = 3, and |-3| = 3, |0| = 0 .

3rd Australian Mathematical Olympiad Problems 1982

A1.  If you toss a fair coin n+1 times and I toss it n times, what is the probability that you get more heads? A2.  Show that the fractional part of (2 + √3)n tends to 1. A3.  In the triangle ABC, let the angle bisectors of A, B, C meet the circumcircle again at X, Y, Z. Show that AX + BY + CZ is greater than the perimeter of ABC. B1.  For what d

2nd Australian Mathematical Olympiad Problems 1981

A1.  Show that in any set of 27 distinct odd positive numbers less than 100 we can always find two with sum 102. How many sets of 26 odd positive numbers less 100 than can we find with no two having sum 102? A2.  Given a real number 0 < k < 1, define p(x) = (x - k)(x - k2) ... (x - kn)/( (x + k)(x + k2) ... (x + kn) ). Show that if kn+1 ≤ x < 1, then p(x) < p(1).

1st Australian Mathematical Olympiad Problems 1979

1.  A graph with 10 points and 35 edges is constructed as follows. Every vertex of one pentagon is joined to every edge of another pentagon. Each edge is colored black or white, so that there are no monochrome triangles. Show that all 10 edges of the two pentagons have the same color. 2.  Two circles (not necessarily equal) intersect at A and B. A point P travels clockwise

How to do long division with 4 digits?

How to do long division with 4 digits? Dividing a 4-digit by 2-digit numbersHow to divide a four digit number by a two digit number (e.g. 4138 ÷ 17): Place the divisor before the division bracket and place the dividend (4138) under it.       17)4138Examine the first digit of the dividend(4). It is smaller than 17 so can't be divided by 17 to produce a whole number. Next take the first two

Math Books for Children

Preschool Childrens Math BooksFirst Picture Math. I love sitting down with my girls to read a good book! One of my favorite childrens math books is the First Picture Book by Jo Litchfield! This darling board book is not only sturdy and durable for babies and toddlers, but can also serve as a young child’s math reference book.I personally love this book for the way the clay people make the

Best educational iPad apps for kids

The Apple iPad is a great device for adults but kids can also get a lot of use from this handy gadget. Many educational games that are found online can also be found as a downloadable app for the iPad. Not only will kids have fun playing these iPad games but they will gain information and maybe learn something new.  Word MagicThe Word Magic app is geared towards young readers learning to

Can You Have Fun With Math Board Games?

Teaching mathematics is probably one of the most difficult tasks a teacher can do because almost all kids have phobia in numbers. But with different strategies and methods of teaching, math can be enjoyable!One way to teach math and to have fun with numbers is through math board games. Studies have shown that when a child is exposed to numbers, they may be intimidated at first but once

Long division worksheets - math division

This section is a brief overview of math division. It covers the concept of sharing in equal amounts, the basic division operation and long division. The sections most relevant to you will depend on your child’s level. Use the information and resources to help review and practice what your child’s teacher will have covered in the

How teachers can accommodate the dyslexic student?

How can teachers adapt their teaching methods to accommodate the dyslexic? "There are many strategies a teacher can implement in the classroom to help a Dyslexic student do well and understand the different skill sets such as spelling, reading, writing, arithmetic and understanding time. Most of these suggestions are beneficial for any student but especially important for Dyslexics."* If one

How much does planet Earth weigh?

It would be more proper to ask, "What is the mass of planet Earth?"1 The quick answer to that is: approximately 6,000,000,000,000 ,000,000,000,000 (6E+24) kilograms.The interesting sub-question is, "How did anyone figure that out?" It's not like the planet steps onto the scale each morning before it takes a shower. The measurement of the planet's weight is derived from the gravitational

Teaching steps for long division with large numbers

Division as repeated subtraction - introduction to long divisionMultiplication is repeated addition.  Division is the opposite of multiplication.  You can think of division as repeated subtraction. Example.  Bag 771 apples so there are 3 apples in one bag.  How many bags are needed?You can start by putting 3 apples to one bag, which leaves you 768 apples. Then for each bag you subtract 3 apples

Teaching Math to the Talented

Which countries—and states—are producing high-achieving students?By Eric Hanushek, Paul E. Peterson and Ludger WoessmannIn Vancouver last winter, the United States proved its competitive spirit by winning more medals—gold, silver, and bronze—at the Winter Olympic Games than any other country, although the German member of our research team insists on pointing out that Canada and Germany both

Mental Subtraction Worksheets

Mentally Subtracting Two-Digit NumbersHow to mentally subtract two two-digit numbers. Subtract 35 from 84.First subtract the two tens' place digits (8 - 3 = 5)Notice that the bottom ones' digit is larger than the top ones' digit. Decrease the answer for the tens' place by one (5 - 1 = 4) and increase the top ones' place value by 10 (4 + 10 = 14). Next subtract the two ones' place values (14 -

Mentally Adding Two-Digit Numbers

How to mentally add two two-digit numbers. Add 84 and 35.First add the two ones' place digits (4 + 5 = 9).Next add the two tens' place digits (8 + 3 = 11).The sum of the ones' place digits is less than ten so the answer is 119 Add 94 and 67.First add the two ones' place digits (4 + 7 = 11).Next add the two tens' place digits (9 + 6 = 15).The sum of the ones' place digits is a two-digit number so

6th All Soviet Union Mathematical Olympiad 1972 Problems & Solutions

1.  ABCD is a rectangle. M is the midpoint of AD and N is the midpoint of BC. P is a point on the ray CD on the opposite side of D to C. The ray PM intersects AC at Q. Show that MN bisects the angle PNQ. 2.  Given 50 segments on a line show that you can always find either 8 segments which are disjoint or 8 segments with a common point. 3.  Find the largest integer

5th All Soviet Union Mathematical Olympiad 1971 Problems & Solutions

1.  Prove that we can find a number divisible by 2n whose decimal representation uses only the digits 1 and 2. 2.  (1) A1A2A3 is a triangle. Points B1, B2, B3 are chosen on A1A2, A2A3, A3A1 respectively and points D1, D2 D3 on A3A1, A1A2, A2A3 respectively, so that if parallelograms AiBiCiDi are formed, then the lines AiCi

4th All Soviet Union Mathematical Olympiad 1970 Problems & Solutions

1.  Given a circle, diameter AB and a point C on AB, show how to construct two points X and Y on the circle such that (1) Y is the reflection of X in the line AB, (2) YC is perpendicular to XA. 2.  The product of three positive numbers is 1, their sum is greater than the sum of their inverses. Prove that just one of the numbers is greater than 1. 3.  What

3rd All Soviet Union Mathematical Olympiad 1969 Problems & Solutions

1.  In the quadrilateral ABCD, BC is parallel to AD. The point E lies on the segment AD and the perimeters of ABE, BCE and CDE are equal. Prove that BC = AD/2. 2.  A wolf is in the center of a square field and there is a dog at each corner. The wolf can run anywhere in the field, but the dogs can only run along the sides. The dogs' speed is 3/2 times the wolf's

2nd All Soviet Union Mathematical Olympiad 1968 Problems & Solutions

1.  An octagon has equal angles. The lengths of the sides are all integers. Prove that the opposite sides are equal in pairs. 2.  Which is greater: 3111 or 1714? [No calculators allowed!] 3.  A circle radius 100 is drawn on squared paper with unit squares. It does not touch any of the grid lines or pass through any of the lattice points. What is the maximum number of

1st All Soviet Union Mathematical Olympiad 1967 Problems & Solutions

1.  In the acute-angled triangle ABC, AH is the longest altitude (H lies on BC), M is the midpoint of AC, and CD is an angle bisector (with D on AB). (a)  If AH ≤ BM, prove that the angle ABC ≤ 60. (b)  If AH = BM = CD, prove that ABC is equilateral. 2. (a)  The digits of a natural number are rearranged and the resultant number is added to the original

28th All Russian Mathematical Olympiad Problems 2002

1.  Can the cells of a 2002 x 2002 table be filled with the numbers from 1 to 20022 (one per cell) so that for any cell we can find three numbers a, b, c in the same row or column (or the cell itself) with a = bc? 2.  ABC is a triangle. D is a point on the side BC. A is equidistant from the incenter of ABD and the excenter of ABC which lies on the internal angle

27th All Russian Mathematical Olympiad Problems 2001

1.  Are there more positive integers under a million for which the nearest square is odd or for which it is even? 2.  A monic quartic and a monic quadratic both have real coefficients. The quartic is negative iff the quadratic is negative and the set of values for which they are negative is an interval of length more than 2. Show that at some point the quartic

26th All Russian Mathematical Olympiad Problems 2000

1.  The equations x2 + ax + 1 = 0 and x2 + bx + c = 0 have a common real root, and the equations x2 + x + a = 0 and x2 + cx + b = 0 have a common real root. Find a + b + c. 2.  A chooses a positive integer X ≤ 100. B has to find it. B is allowed to ask 7 questions of the form "What is the greatest common divisor of X + m and n?" for positive integers m,

25th All Russian Mathematical Olympiad Problems 1999

1.  The digits of n strictly increase from left to right. Find the sum of the digits of 9n. 2.  Each edge of a finite connected graph is colored with one of N colors in such a way that there is just one edge of each color at each point. One edge of each color but one is deleted. Show that the graph remains connected. 3.  ABC is a triangle. A' is the

25th All Soviet Union Mathematical Olympiad Problems 1991

1.  Find all integers a, b, c, d such that ab - 2cd = 3, ac + bd = 1. 2.  n numbers are written on a blackboard. Someone then repeatedly erases two numbers and writes half their arithmetic mean instead, until only a single number remains. If all the original numbers were 1, show that the final number is not less than 1/n. 3.  Four lines in the plane

Subtracting Fractions with Different Denominators

To Subtract Fractions with different denominators: Find the Lowest Common Denominator (LCD) of the fractionsRename the fractions to have the LCDSubtract the numerators of the fractionsThe difference will be the numerator and the LCD will be the denominator of the answer.Simplify the FractionExample: Find the difference between 3/12 and 2/9. Determine the Greatest Common Factor of 12 and 9 which

Divide a 4 Digit by a 2 Digit number

DivisionDividing a three digit number by a one digit number (for example 416 ÷ 7) involves several steps. Place the divisor before the division bracket and place the dividend (416) under it.     7)416Examine the first digit of the dividend(4). It is smaller than 7 so can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7'

24th All Russian Mathematical Olympiad Problems 1998

1.  a and b are such that there are two arcs of the parabola y = x2 + ax + b lying between the ray y = x, x > 0 and y = 2x, x > 0. Show that the projection of the left-hand arc onto the x-axis is smaller than the projection of the right-hand arc by 1. 2.  A convex polygon is partitioned into parallelograms, show that at least three vertices of the polygon belong to

24th All Soviet Union Mathematical Olympiad Problems 1990

1.  Show that x4 > x - 1/2 for all real x. 2.  The line joining the midpoints of two opposite sides of a convex quadrilateral makes equal angles with the diagonals. Show that the diagonals are equal. 3.  A graph has 30 points and each point has 6 edges. Find the total number of triples such that each pair of points is joined or each pair of points is

23rd All Russian Mathematical Olympiad Problems 1997

1.  p(x) is a quadratic polynomial with non-negative coefficients. Show that p(xy)2 ≤ p(x2)p(y2). 2.  A convex polygon is invariant under a 90o rotation. Show that for some R there is a circle radius R contained in the polygon and a circle radius R√2 which contains the polygon. 3.  A rectangular box has integral sides a, b, c, with c odd. Its surface is

23rd All Soviet Union Mathematical Olympiad Problems 1989

1.  7 boys each went to a shop 3 times. Each pair met at the shop. Show that 3 must have been in the shop at the same time. 2.  Can 77 blocks each 3 x 3 x 1 be assembled to form a 7 x 9 x 11 block? 3.  The incircle of ABC touches AB at M. N is any point on the segment BC. Show that the incircles of AMN, BMN, ACN have a common tangent. 4.  A positive integer n has

22nd All Russian Mathematical Olympiad Problems 1996

1.  Can a majority of the numbers from 1 to a million be represented as the sum of a square and a (non-negative) cube? 2.  Non-intersecting circles of equal radius are drawn centered on each vertex of a triangle. From each vertex a tangent is drawn to the other circles which intersects the opposite side of the triangle. The six resulting lines enclose a

21st All Russian Mathematical Olympiad Problems 1995

1.  A goods train left Moscow at x hrs y mins and arrived in Saratov at y hrs z mins. The journey took z hrs x mins. Find all possible values of x. 2.  The chord CD of a circle center O is perpendicular to the diameter AB. The chord AE goes through the midpoint of the radius OC. Prove that the chord DE goes through the midpoint of the chord BC. 3.  f(x), g(x),

21st All Soviet Union Mathematical Olympiad Problems 1987

1.  Ten players play in a tournament. Each pair plays one match, which results in a win or loss. If the ith player wins ai matches and loses bi matches, show that ∑ ai2 = ∑ bi2. 2.  Find all sets of 6 weights such that for each of n = 1, 2, 3, ... , 63, there is a subset of weights weighing n. 3.  ABCDEFG is a regular 7-gon. Prove that 1/AB = 1/AC + 1/AD. 4. 

19th All Soviet Union Mathematical Olympiad Problems 1985

1.  ABC is an acute angled triangle. The midpoints of BC, CA and AB are D, E, F respectively. Perpendiculars are drawn from D to AB and CA, from E to BC and AB, and from F to CA and BC. The perpendiculars form a hexagon. Show that its area is half the area of the triangle. 2.  Is there an integer n such that the sum of the (decimal) digits of n is 1000 and the sum of

20th All Soviet Union Mathematical Olympiad Problems 1986

1.  The quadratic x2 + ax + b + 1 has roots which are positive integers. Show that (a2 + b2) is composite. 2.  Two equal squares, one with blue sides and one with red sides, intersect to give an octagon with sides alternately red and blue. Show that the sum of the octagon's red side lengths equals the sum of its blue side lengths. 3.  ABC is acute-angled.

18th All Soviet Union Mathematical Olympiad Problems 1984

1.  Show that we can find n integers whose sum is 0 and whose product is n iff n is divisible by 4. 2.  Show that (a + b)2/2 + (a + b)/4 ≥ a√b + b √a for all positive a and b. 3.  ABC and A'B'C' are equilateral triangles and ABC and A'B'C' have the same sense (both clockwise or both counter-clockwise). Take an arbitrary point O and points P, Q, R so that OP is

16th All Soviet Union Mathematical Olympiad Problems 1982

1.  The circle C has center O and radius r and contains the points A and B. The circle C' touches the rays OA and OB and has center O' and radius r'. Find the area of the quadrilateral OAO'B. 2.  The sequence an is defined by a1 = 1, a2 = 2, an+2 = an+1 + an. The sequence bn is defined by b1 = 2, b2 = 1, bn+2 = bn+1 + bn. How many integers belong to both

17th All Soviet Union Mathematical Olympiad Problems 1983

1.  A 4 x 4 array of unit cells is made up of a grid of total length 40. Can we divide the grid into 8 paths of length 5? Into 5 paths of length 8? 2.  Three positive integers are written on a blackboard. A move consists of replacing one of the numbers by the sum of the other two less one. For example, if the numbers are 3, 4, 5, then one move could lead to 4, 5

Fun Maths Book Reviews

Fun Math Books for kidsSince I work with very advanced children, you need to take that into account when you see my age recommendations.For kindergarten and elementary school, and probably some adults"Imagine" by Norman Messenger has beautiful pictures, each one a puzzle, joke or optical illusion. As a bonus, at the corners of every page there is a math puzzle for older children.For kids,

Fun Math Books for Kids

The Grapes Of Math: Mind-Stretching Math RiddlesTiger Math: Learning to Graph from a Baby Tiger(MARVELOUS MATH) A BOOK OF POEMS BY Hopkins, Lee Bennett ( AUTHOR )paperback{Marvelous Math: A Book of Poems} on 01 Aug, 2001Math Trek: Adventures in the Mathzone

Math Worksheets for Kids

Addition Worksheets Over 150 printable addition worksheets can be found here. Subtraction WorksheetsYou will find a variety of subtraction worksheets here! Multiplication Worksheets Print lots of multiplication worksheets to keep skills sharp.Division Worksheets Christmas Division Practice #5 - 4-digit by 1-digit no remainderChristmas Division Practice #4 - 3-digit by 1-digit with

Teaching Long Division

Algebraic long division is very similar to traditional long division (which you may have come across earlier in your education). The easiest way to explain it is to work through an example.
Example

Note Bene:
If the polynomial/ expression that you are dividing has a term in x missing, add such a term by placing a zero in front of it. For example, if you are dividing x³ + x - 4 by something,

Celebrate African-American Culture

Celebrate our great nation's diversity and heritage with these books that focus on African-American history and heritage.In February our nation celebrates Black History Month--which is a perfect time to let your kids' bedtime stories do double duty as entertainment and as a history lesson. You'll love the stories--and the artwork--in these fun and educational books.The Sweet and Sour Animal

Fun Math Books for Kids

25 Super Cool Math Board Games (Grades 3-6)by Lorraine Hopping EganGet kids fired up about math with this big collection of super-cool reproducible board games that build key skills: multiplication, division, fractions, probability, estimation, mental math, and more! Each game is a snap to make and so easy to play. Family

Christian Children's Book Review

Old Sadie and the Christmas Bear (Old Sadie & Christmas Bear Nrf CL.)Author: Phyllis Reynolds NaylorPublisher: AtheneumProduct DescriptionNear-sighted old Sadie welcomes a visitor who is experiencing the joy of Christmas for the first time.Hands Are Not for Hitting / Las manos no son para pegar (Best Behavior) (English and Spanish Edition) Author: Martine Agassi Ph.D.Publisher: Free Spirit

Popular Gift Ideas - December Holiday Deals

 Windows 7 Netbooks Under Starting $350: Find the biggest selection of netbooks with Windows 7 Starter in the Amazon.com netbooks store. Blu-ray Players Under $200: The high-def experience doesn’t have to be expensive. Amazon.com has Blu-ray players from brands such as LG, Samsung, and Sony with prices below $200.Great savings on new cutting-edge HP Photosmart Premium TouchSmart Web All-in-One

Children's Maths Remainder

More books about long division for kids

10 Ways to Prepare Your Child for School

Banish first-day jitters for your child and for yourself! Starting school can be a difficult time for children. Every child is hesitant to go somewhere new and see people she's never met before. Here are some helpful ways to prepare your child for her first day of school: 1. Let your child know what his schedule will be like. Tell him what time school begins and ends each day. 2. Ask

Best Books for Big Kids

Childrens books for big kidsBigger kids have got some special requirements than younger kids when it comes to reading. We've got a bunch of books just right for their reading pleasure.Once I Ate a Pieby Patricia MacLachan and Emily MacLachlan CharestIn this book full of creative and whimsical poems that highlight dogs' different personalities, each dog narrates its own poem. The bulldog likes to

Numbers Bingo Cards

Learn numbers from 0 to 20. Match numeral to numeral or number words. Unique, six-way format adapts to a variety of skill levels, and is a fun learning supplement for small groups or the entire class. Also ideal for learners with disabilities and anyone learning English. Set includes: 36 playing cardsOver 200 chipsCallers mat and cardsSturdy storage boxSuitable for kids aged 4 years old &

World Racing Game for Kids

Mathematics according to the Lifelike Pedagogy

Lifelike Pedagogy will change the way you teach!by Marcelo Rodrigues (Author) Price: $10Mathematics according to the Lifelike PedagogyTo complete the project about diamonds, the class of 6-year-old students decided to visit a museum where they could find diamonds. But, in order to do this, students needed to get the money necessary for the trip.The class decided to earn the money by selling

Good Books on Mathematics

Look at "Five Equations That Changed The World", by Guillen comes to mind. Also, "Longitude" by Sobel.Harper Collins Dictionary of MathematicsW.W. Sawyer: What is Calculus About? and Mathematician's DelightCourant and Robbins: What is Mathematics?Hogben: Mathematics for the MillionSteinhaus: Mathematical SnapshotsIvars Peterson: The Mathematical TouristDavis and Hersh: The Mathematical

World Explorer Books - Children's Books About Exploration

Follow the Dream: The Story of Christopher Columbuswritten and illustrated by Peter Sis; ages 5 and upOver 500 years ago a little boy was born in the city of Genoa, Italy. His father was a weaver, but Christopher Columbus dreamed of faraway places, adventure, and discovery. He observed the ships that sailed into the harbor and listened to the sailors and merchants as they told tales of their

Exploration Kids Books - American Exploer Books

Who Was First? Discovering the AmericasRussell Freedman; ages 11 and upHistorian Russell Freeman explores the various claims to the "discovery" of the American continents. Every U.S. school child knows the story of Columbus, but what about the Chinese explorer, Zheng He? This lavishly illustrated volume traces explorers' journeys with archival maps, charts, and timelines. Freeman discusses the

Reading Readiness Books: ages 3-4

Get your 3 to 4 year old ready to read and learn with these age-appropriate story recommendations.How can we help our children as they are learning to read?  One of the building blocks of reading competency is phonetic awareness. What are the sounds that make up a written word? Phonemic awareness refers to the ability to hear and tell the difference between words, sounds, and syllables in

Best Music Books For Children

Teach your child all about instruments, melody, and more with these recommended music books for preschoolersKids Go!by They Might Be Giants; illustrated by Pascal CampionHipster rock group They Might Be Giants return after their Grammy-winning CD for kids, Here Come the 123s, with a book and song combination to get kids off the couch and get moving. The song was originally created in 2008 for a

Top 10 Kids Math Web Sites

FunbrainA math arcade and interactive math games are only two of the many features of this site, which offers games in a wide variety of topics. Classic games on this site include math car racing. Check out the teacher's resource page and the curriculum guide. Time4LearningComplete online curriculum for preschool through the eighth grade. 

Middle School Educational Software

QuickStudy English VocabularyTake the quick path to writing success! Quickstudy English Vocabulary provides a solid educational foundation that will raise grades and test scores and improve vocabulary and writing skills in the classroom and beyond. The curriculum-based lessons are designed by educators to help students expand their vocabulary in an engaging, interactive learning

Software For Kids

Millie's Math HouseDevelop a love for math with Millie! In seven fun-filled activities, kids explore fundamental math concepts as they learn about numbers, shapes, sizes, quantities, patterns, sequencing, addition, and subtraction. They count critters, build mouse houses, create crazy-looking bugs, make jellybean cookies for Harley the horse, and find just the right shoes for Little,

Best Books for 10 Year Old Boys

There are many overlaps between books ‘for’ boys and books ‘for’ girls (and the gender divide was really driven by the twitter enquiry that prompted the list of best books for girls), but there are differences too. However much of an old-style Doc-Marten-wearing feminist Kate was (is…), and however much she swore that she would not encourage her own children into gender stereotypes, she’s come to

5th Grade Math Worksheets - 5th Grade Math Test (3)

Question 1: 6.2% written as a decimal is: 0.620.0620.00626.2Question 2: 13/25 may be written as a percent as:13%26%44%52%Question 3: 74 - 73 = 4924013432058Question 4: There are 12 milk containers in a box. Each container weighs 5/6 pounds. How many pounds does the box weigh?12 pounds5 pounds10 pounds8 poundsQuestion 5: m = 15n + 2What is m if n = 3?m = 2m = 15m = 45m = 47Question 6: 2(6x - 1) =

Math 5th Grade Test - 5th Grade Math Test (2)

Question 1: What is the perimeter of the rectangular in the figure below?6.2m6.6m8m8.2mQuestion 2: What is the area of triangle ABC if AD = BC = 6 inches?12 square inches16 square inches18 square inches22 square inchesQuestion 3: Which of the following is not a composite number?13141516Question 4: A group of middle school student has made $46.5 by selling lemonade. They charged $1.5 for a cup of

Math 5th Grade Test - 5th Grade Math Test (1)

Question 1: 4521 × 613 = 1,771,3731,871,3732,871,3732,771,373Question 2: 4/5 - 1/2 =3/102/51/103/5Question 3: How many integers between 1 and 50 contain the digit 3?12141518Question 4: A middle school has 116 students enrolled in four classes. If there is an equal number of students in each class, what is a way to determine the number of students in 5th grade?subtract 4 from 116add 116 to

15th Swedish Mathematical Society Problems 1975

1.  A is the point (1, 0), L is the line y = kx (where k > 0). For which points P (t, 0) can we find a point Q on L such that AQ and QP are perpendicular?2.  Is there a positive integer n such that the fractional part of (3 + √5)n > 0.99? 3.  Show that an + bn + cn ≥ abn-1 + bcn-1 + can-1 for real a, b, c ≥ 0 and n a positive integer. 4.  P1,

14th Swedish Mathematical Society Problems 1974

1.  Let an = 2n-1 for n > 0. Let bn = ∑r+s≤n aras. Find bn - bn-1, bn - 2bn-1 and bn.2.  Show that 1 - 1/k ≤ n(k1/n - 1) ≤ k - 1 for all positive integers n and positive reals k. 3.  Let a1 = 1, a2 = 2a1, a3 = 3a2, a4 = 4a3, ... , a9 = 9a8. Find the last two digits of a9. 4.  Find all polynomials p(x) such that p(x2) = p(x)

13th Swedish Mathematical Society Problems 1973

1.  log82 = 0.2525 in base 8 (to 4 places of decimals). Find log84 in base 8 (to 4 places of decimals). 2.  The Fibonacci sequence f1, f2, f3, ... is defined by f1 = f2 = 1, fn+2 = fn+1 + fn. Find all n such that fn = n2. 3.  ABC is a triangle with ∠A = 90o, ∠B = 60o. The points A1, B1, C1 on BC, CA, AB respectively are such that

12th Swedish Mathematical Society Problems 1972

1.  Find the largest real number a such that x - 4y = 1, ax + 3y = 1 has an integer solution. 2.  A rectangular grid of streets has m north-south streets and n east-west streets. For which m, n > 1 is it possible to start at an intersection and drive through each of the other intersections just once before returning to the start? 3.  A steak

11th Swedish Mathematical Society Problems 1971

1.  Show that (1 + a + a2)2 < 3(1 + a2 + a4) for real a ≠ 1. 2.  An arbitrary number of lines divide the plane into regions. Show that the regions can be colored red and blue so that neighboring regions have different colors. 3.  A table is covered by 15 pieces of paper. Show that we can remove 7 pieces so that the remaining 8 cover at least 8/15 of

10th Swedish Mathematical Society Problems 1970

1.  Show that infinitely many positive integers cannot be written as a sum of three fourth powers of integers. 2.  6 open disks in the plane are such that the center of no disk lies inside another. Show that no point lies inside all 6 disks.3.  A polynomial with integer coefficients takes the value 5 at five distinct integers. Show that it does not take the value 9

9th Swedish Mathematical Society Problems 1969

1.  Find all integers m, n such that m3 = n3 + n. 2.  Show that tan π/3n is irrational for all positive integers n. 3.  a1 ≥ a2 ≥ ... ≥ an is a sequence of reals. b1, b2, b3, ... bn is any rearrangement of the sequence B1 ≥ B2 ≥ ... ≥ Bn. Show that ∑ aibi ≤ &sum aiBi. 4.  Define g(x) as the largest value of |y2 - xy| for

8th Swedish Mathematical Society Problems 1968

1.  Find the maximum and minimum values of x2 + 2y2 + 3z2 for real x, y, z satisfying x2 + y2 + z2 = 1. 2.  How many different ways (up to rotation) are there of labeling the faces of a cube with the numbers 1, 2, ... , 6? 3.  Show that the sum of the squares of the sides of a quadrilateral is at least the sum of the squares of the diagonals. When

7th Swedish Mathematical Society Problems 1967

1.  p parallel lines are drawn in the plane and q lines perpendicular to them are also drawn. How many rectangles are bounded by the lines? 2.  You are given a ruler with two parallel straight edges a distance d apart. It may be used (1) to draw the line through two points, (2) given two points a distance ≥ d apart, to draw two parallel lines, one

6th Swedish Mathematical Society Problems 1966

1.  Let {x} denote the fractional part of x = x - [x]. The sequences x1, x2, x3, ... and y1, y2, y3, ... are such that lim {xn} = lim {yn} = 0. Is it true that lim {xn + yn} = 0? lim {xn - yn} = 0? 2.  a1 + a2 + ... + an = 0, for some k we have aj ≤ 0 for j ≤ k and aj ≥ 0 for j > k. If ai are not all 0, show that a1 + 2a2 + 3a3 + ..

5th Swedish Mathematical Society Problems 1965

1.  The feet of the altitudes in the triangle ABC are A', B', C'. Find the angles of A'B'C' in terms of the angles A, B, C. Show that the largest angle in A'B'C' is at least as big as the largest angle in ABC. When is it equal? 2.  Find all positive integers m, n such that m3 - n3 = 999. 3.  Show that for every real x ≥ ½ there is an integer n such

4th Swedish Mathematical Society Problems 1964

1.  Find the side lengths of the triangle ABC with area S and ∠BAC = x such that the side BC is as short as possible. 2.  Find all positive integers m, n such that n + (n+1) + (n+2) + ... + (n+m) = 1000. 3.  Find a polynomial with integer coefficients which has √2 + √3 and √2 + 31/3 as roots. 4.  Points H1, H2, ... , Hn are arranged in the

3rd Swedish Mathematical Society Problems 1963

1.  How many positive integers have square less than 107? 2.  The squares of a chessboard have side 4. What is the circumference of the largest circle that can be drawn entirely on the black squares of the board? 3.  What is the remainder on dividing 1234567 + 891011 by 12?

Top 10 Maths Books

Lecture Notes on Mathematical Olympiad Courses: For Junior Section (Mathematical Olympiad Series) http://amzn.to/OlympiadCoursesAmazon.com: Lecture Notes on Mathematical Olympiad Courses: For Junior Section (Mathematical Olympiaamzn.toAmazon.com: Lecture Notes on Mathematical Olympiad Courses: For Junior Section (Mathematical Olympiad Series) (9789814293532): Xu Jiagu: Books 15 000 problems

Geography Books

Free world geography quiz & games at http://www.worldgeographyquiz.net

Scientific Method Limitations

ntroduction to Scientific Method Limitations:              This article is showing the limitations for scientific method. Scientific method is otherwise said to be as scientific notation which helps to show the big numbers into simplest form of a number. Scientific method is of positive and negative method. Example for scientific Method:Positive Method: 170000000 this can be expressed as

How to do long division with two digit quotients?

We've learned that we can figure out the single-digit quotient, or answer, for two-digit divisor problems using estimation. This time around, we'll use estimation to determine two-digit quotients for two-digit divisor problems.Let's look at this division problem, which has a two-digit quotient:To start, it's important to determine the first part of 741 that we can divide by 32. That

Two-digit divisor in long division - How to do long division with 2 digit divisor?

When the divisor has two digits, the procedure works the same way but instead of using facts from multiplication tables when dividing, we might have to use pencil and paper to perform helping multiplications on the side, so to speak. 14    7  4  3  4  14 goes into 7 zero times, so we look at 74. To find how many times does 14 go into 74, you probably have to do

How to do long division with 2 digit divisor

Introduction of division with 2 digit divisor:          In mathematics, especially in elementary arithmetic, division (÷) is the arithmetic operation that is the inverse of multiplication.Specifically, if c time’s b equals a, written:           c x b = aWhere b is not zero, then a divided by b equals c, written:             = c.In the above expression, a is called the dividend. Source: Wikipedia

Long Division of Polynomials Step by Step

Introduction to long division of polynomials:               In arithmetic, long division is the standard procedure suitable for dividing simple or complex multi digit numbers. It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient.  (Source

Math Games and Activities for kids

Mathematics is said to be the study of the structure, change, quantity and space. Mathematicians, or those who work in this field, tend to study patterns and conjectures using the principles of deduction derived from definitions and axioms. Looking at this definition of mathematics, you will certainly remember those days when you were dreaded by the thought of learning math. Well, your kids

The Free Ride In Public Schools

To protect children's self-esteem or deflect complaints by parents, many public schools today automatically advance failing students to the next grade level. In other schools, some students are left back a maximum of one year, then promoted again regardless of their academic skills.The No Child Left Behind Act tries to solve this problem. The federal government is pressuring public schools to set

Math Homework Help

Are you struggling with mathematics in school or college, TutorsOnnet math tutoring can provide help in a convenient and effective way. Math can be a major struggle for children ' starting in Grade 1 and continuing throughout their high school years and beyond. Children who find the subject less intuitive than others can often face hours of frustrating homework, alongside equally frustrated

49th Eötvös Competition Problems 1945

1.  Knowing that 23 October 1948 was a Saturday, which is more frequent for New Year's Day, Sunday or Monday? 2.  A convex polyhedron has no diagonals (every pair of vertices are connected by an edge). Prove that it is a tetrahedron.

43rd Eötvös Competition Problems 1939

1.  Show that (a + a')(c + c') ≥ (b + b')2 for all real numbers a, a', b, b', c, c' such that aa' > 0, ac ≥ b2, a'c' ≥ b'2. 2.  Find the highest power of 2 dividing 2n! 3.  ABC is

42nd Eötvös Competition Problems 1938

1.  Show that a positive integer n is the sum of two squares iff 2n is the sum of two squares. 2.  Show that 1/n + 1/(n+1) + 1/(n+2) + ... + 1/n2 > 1 for integers n > 1. 3.  Show that for

41st Eötvös Competition Problems 1937

1.  a1, a2, ... , an is any finite sequence of positive integers. Show that a1! a2! ... an! < (S + 1)! where S = a1 + a2 + ... + an. 2.  P, Q, R are three points in space. The circle CP passes through Q and R, the circle CQ passes through R and P, and the circle CR passes through P and Q. The tangents to CQ and CR at P coincide. Similarly, the

40th Eötvös Competition Problems 1936

1.  Show that 1/(1·2) + 1/(3·4) + 1/(5·6) + ... + 1/( (2n-1)·2n) = 1/(n+1) + 1/(n+2) + ... + 1/(2n). 2.  ABC is a triangle. Show that, if the point P inside the triangle is such that the triangles PAB, PBC, PCA have equal area, then P must be the centroid.

36th Eötvös Competition Problems 1932

1.  Show that if m is a multiple of an, then (a + 1)m -1 is a multiple of an+1. 2.  ABC is a triangle with AB and AC unequal. AM, AX, AD are the median, angle bisector and altitude. Show that X always lies between D and M, and that if the triangle is acute-angled, then angle MAX < angle DAX. 3.  Find the

34th Eötvös Competition Problems 1930

1.  How many integers (1) have 5 decimal digits, (2) have last digit 6, and (3) are divisible by 3? 2.  A straight line is drawn on an 8 x 8 chessboard. What is the largest possible number of the unit squares with interior points on the line? 3.  A circle or

29th Eötvös Competition Problems 1925

1.  Given four integers, show that the product of the six differences is divisible by 12. 2.  How many zeros does the the decimal representation of 1000! end with? 3.  Show that the inradius of a right-angled

27th Eötvös Competition Problems 1923

1.  The circles OAB, OBC, OCA have equal radius r. Show that the circle ABC also has radius r. 2.  Let x be a real number and put y = (x + 1)/2. Put an = 1 + x + x2 + ... + xn, and bn = 1 + y + y2 + ... + yn. Show that ∑0n am (n+1)C(m+1) = 2n bn, where aCb is the binomial coefficient a!/( b! (a-b)! ). 3.  Show that an infinite arithmetic progression

26th Eötvös Competition Problems 1922

1.  Show that given four non-coplanar points A, B, P, Q there is a plane with A, B on one side and P, Q on the other, and with all the points the same distance from the plane. 2.  Show that we cannot factorise x4 + 2x2 + 2x + 2 as the product of two quadratics with integer coefficients. 3.  A, B are two points inside a given

23rd Eötvös Competition Problems 1916

1.  a, b are positive reals. Show that 1/x + 1/(x-a) + 1/(x+b) = 0 has two real roots one in [a/3, 2a/3] and the other in [-2b/3, -b/3]. 2.  ABC is a triangle. The bisector of ∠C meets AB at D. Show that CD2 < CA·CB. 3.  If d is the

19th Eötvös Competition Problems 1912

1.  How many n-digit decimal integers have all digits 1, 2 or 3. How many also contain each of 1, 2, 3 at least once? 2.  Prove that 5n + 2 3n-1 + 1 = 0 (mod 8). 3.  ABCD is a quadrilateral with vertices in

18th Eötvös Competition Problems 1911

1.  Real numbers a, b, c, A, B, C satisfy b2 < ac and aC - 2bB + cA = 0. Show that B2 ≥ AC. 2.  L1, L2, L3, L4 are diameters of a circle C radius 1 and the angle between any two is either π/2 or π/4. If P is a point on the circle, show that the sum of the fourth powers of the distances from P to the four diameters is 3/2. 3.  ABC is a triangle with angle C = 120o. Find the

16th Eötvös Competition Problems 1909

1.  Prove that (n + 1)3 ≠ n3 + (n - 1)3 for any positive integer n. 2.  α is acute. Show that α < (sin α + tan α)/2. 3.  ABC is a triangle. The feet of the altitudes from A, B, C are P, Q, R respectively, and P,

15th Eötvös Competition Problems 1908

1.  m and n are odd. Show that 2k divides m3 - n3 iff it divides m - n. 2.  Let a right angled triangle have side lengths a > b > c. Show that for n > 2, an > bn + cn. 3.  Let the vertices of a regular

14th Eötvös Competition Problems 1907

1.  Show that the quadratic x2 + 2mx + 2n has no rational roots for odd integers m, n. 2.  Let r be the radius of a circle through three points of a parallelogram. Show that any point inside the parallelogram is a distance ≤ r from at least one of its vertices. A2.  ABC is a triangle. The incircle has center I and

15th Iberoamerican Mathematical Olympiad Problems 2000

15th Iberoamerican Mathematical Olympiad Problems 2000A1.  Label the vertices of a regular n-gon from 1 to n > 3. Draw all the diagonals. Show that if n is odd then we can label each side and diagonal with a number from 1 to n different from the labels of its endpoints so that at each vertex the sides and diagonals all have different labels.

14th Iberoamerican Mathematical Olympiad Problems 1999

A1.  Find all positive integers n < 1000 such that the cube of the sum of the digits of n equals n2. A2.  Given two circles C and C' we say that C bisects C' if their common chord is a diameter of C'. Show that for any two circles which are not concentric, there are infinitely many circles which bisect them both. Find the locus of the centers of the

13th Iberoamerican Mathematical Olympiad Problems 1998

A1.  There are 98 points on a circle. Two players play alternately as follows. Each player joins two points which are not already joined. The game ends when every point has been joined to at least one other. The winner is the last player to play. Does the first or second player have a winning strategy? A2.  The incircle of the triangle ABC touches BC, CA, AB

12th Iberoamerican Mathematical Olympiad Problems 1997

A1.  k ≥ 1 is a real number such that if m is a multiple of n, then [mk] is a multiple of [nk]. Show that k is an integer. A2.  I is the incenter of the triangle ABC. A circle with center I meets the side BC at D and P, with D nearer to B. Similarly, it meets the side CA at E and Q, with E nearer to C, and it meets AB at F and R, with F nearer to A. The

11th Iberoamerican Mathematical Olympiad Problems 1996

A1.  Find the smallest positive integer n so that a cube with side n can be divided into 1996 cubes each with side a positive integer. A2.  M is the midpoint of the median AD of the triangle ABC. The ray BM meets AC at N. Show that AB is tangent to the circumcircle of NBC iff BM/MN = (BC/BN)2.

Amazing Number Facts No (part 2)

Here is a remarkable formula: f(n) = n2-n+41 f(1) = 12-1+41 = 41 a prime number f(2) = 22-2+41 = 43 a prime number f(3) = 32-3+41 = 47 a prime number f(4) = 42-4+41 = 53 a prime number   How many prime numbers does this formula produce? A formula that always produces prime numbers in this way has never been found. So just how

Amazing Number Facts No (part 1)

Since 32 + 42 = 52 does it follow that 33 + 43 + 53 = 63 ? Check it out ! Does this pattern continue to be true?The factors of 28 (not including itself) are 1, 2, 4, 7 and 14. Astonishingly these

7th Junior Balkan Mathematical Olympiad Problems 2003

1.  Let A = 44...4 (2n digits) and B = 88...8 (n digits). Show that A + 2B + 4 is a square. 2.  A1, A2, ... , An are points in the plane, so that if we take the points in any order B1, B2, ... , Bn, then the broken line B1B2...Bn does not intersect itself. What is the largest possible value of n? 3.  ABC is a triangle. E, F are

3rd Junior Balkan Mathematical Olympiad Problems 1999

1.  a, b, c are distinct reals and there are reals x, y such that a3 + ax + y = 0, b3 + bx + y = 0 and c3 + cx + y = 0. Show that a + b + c = 0. 2.  Let an = 23n + 36n+2 + 56n+2. Find gcd(a0, a1, a2, ... , a1999). 3.