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Dividing numbers of up to four digits by a one-digit number, with remainders, usually comes in grade 4, and dividing by a two-digit number in grade 5. Start with 2-digit or 3-digit numbers and nothing left over. These are conventions, not rules.

The steps

Divide, multiply, take away, bring down. For 852 ÷ 6: 6 goes into 8 once, so write 1 above the 8; 1 × 6 = 6 and 8 − 6 = 2. Bring down the 5 to make 25: 6 goes into 25 four times, 24, and 1 is left. Bring down the 2 to make 12: 6 goes into 12 twice. The answer is 142. What is left at the end is the remainder: 855 ÷ 6 = 142 R 3, and 142 × 6 + 3 = 855 checks it.

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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.

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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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