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In the Common Core, multiplying a fraction by a whole number is grade 4 work, a fraction by a fraction is grade 5, and so are mixed numbers. Start with a fraction times a whole number, then two fractions, then mixed numbers. The last sheet mixes multiplying and dividing fractions, as a test does, so a child has to read each sign; dividing a fraction by a fraction is grade 6 work.

Multiplying fractions

Multiply the top numbers, then the bottom numbers: 2/3 × 4/5 = 8/15. A whole number is a fraction over 1, so 3 × 2/5 = 6/5, which is 1 1/5. Simplify at the end, 2/3 × 3/4 = 6/12 = 1/2, or before multiplying, by dividing a top number and a bottom number by the same number: the 3s in 2/3 × 3/4 cancel, leaving 2/4 = 1/2.

Mixed numbers

Write each mixed number as a fraction first: 1 1/2 is 3/2, because one whole is two halves and one more half makes three. Then multiply: 3/2 × 8/3 = 24/6 = 4. Multiplying the whole numbers and the fractions apart, 1 × 2 and 1/2 × 2/3, gives 2 1/3, which is wrong: each whole number has to be multiplied by the other fraction as well.

Why the answer can be smaller

Multiplying by a fraction less than 1 makes a number smaller: 1/2 × 6 is half of 6, which is 3. So 2/3 × 3/4 is two thirds of three fourths, which is less than either. A child who expects multiplying to make things bigger can check an answer that way.

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Counting money worksheets

Count the coins and write the total in cents: pennies, nickels, dimes and quarters drawn at their real size, six groups a page, totals under a dollar, with the answers on the key. Leave out the quarters for an easier sheet. New coins each time.

Number bonds worksheets

Number bonds to 10: the whole in the top circle, its two parts below, and one of the three left empty to fill in. Choose the largest whole, up to 100, and how many bonds; the answer key is on the last page.

Place value worksheets

Place value practice with numbers of 2 to 5 digits: half the questions ask what one digit is worth, as the 4 in 3,482 is worth 400, and half ask for the number in expanded form, as 3,000 + 400 + 80 + 2. The answer key is on the last page.

Measuring length worksheets

Six lines drawn at their true length, to measure with a ruler from the left end and write down to the nearest half inch, then two lines to draw at a given length, with a ruler to cut out at the foot of the page and the answers on page 2. Choose whole, half, quarter or eighth inches, or whole or half centimetres.

Measuring angles worksheets

Six angles a page, drawn at their true size from 10 to 170 degrees in steps of 5, to measure with a protractor and circle as acute, right or obtuse, with the answers on the key. One arm lies flat to start, pointing left or right; on the harder sheet both arms turn. New angles each time.

2D shapes worksheets

Eight flat shapes a page to name, and to count the sides and corners of: triangle, square, rectangle, rhombus, trapezoid, pentagon, hexagon, octagon, circle and oval, with the answers on the key. On the harder sheet each shape is turned and the triangles and rectangles change shape, so the name rests on the sides. New shapes each time.

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