Mathematics · Professor Pi

Every card in Fractions, Year 7: more practice

The whole deck, in order — so you can read it through before your child ever sees it.

1 KS3-MATH-NUM-0056

Put these in order, smallest first: 2, −5, −1, 0, −8.

−8, −5, −1, 0, 2

HintPicture them on a number line: further left means smaller.

WhyAmong negative numbers, the one with the larger digit is further below zero, so −8 is smaller than −5.

2 KS3-MATH-NUM-0057

Find 3/8 of 64. (number only)

24

HintFind one eighth first, then take three of them.

Why64 ÷ 8 = 8, and 8 × 3 = 24.

3 KS3-MATH-NUM-0058

Round 6,483 to the nearest 10.

6,480

HintLook at the digit in the units column.

WhyThe 3 in the units column is less than 5, so the tens digit stays as it is: 6,480.

4 KS3-MATH-NUM-0059

Round 8,450 to the nearest hundred.

8,500

HintThe digit in the tens column decides — and a 5 rounds up.

WhyThe tens digit is 5, so the hundreds digit goes up from 4 to 5: 8,500.

5 KS3-MATH-NUM-0060

Work out 10 − 3.74. (number only)

6.26

HintWrite 10 as 10.00 so the decimal points line up.

Why10.00 − 3.74 = 6.26. Check: 6.26 + 3.74 = 10.

6 KS3-MATH-NUM-0061

Work out 0.6 × 0.4.

0.24

HintMultiply 6 × 4 as whole numbers, then count the decimal places.

Why6 × 4 = 24 and there are two decimal places in total, so 0.24. The answer is less than either number multiplied.

7 KS3-MATH-NUM-0062

Work out 7.2 ÷ 0.9. (number only)

8

HintMultiply both numbers by 10 to make the divisor whole.

Why7.2 ÷ 0.9 = 72 ÷ 9 = 8. Check: 0.9 × 8 = 7.2.

8 KS3-MATH-NUM-0063

Write 3/5 as an equivalent fraction with denominator 20.

12/20

HintFind what 5 is multiplied by to give 20.

Why5 × 4 = 20, so the numerator must also be multiplied by 4: 3 × 4 = 12.

9 KS3-MATH-NUM-0064

Which is larger, 3/4 or 5/7?

3/4

HintRewrite both over a common denominator.

WhyOver 28: 3/4 = 21/28 and 5/7 = 20/28, so 3/4 is larger.

10 KS3-MATH-NUM-0065

Which whole numbers n satisfy 2 < n ≤ 6?

3, 4, 5 and 6

HintCheck whether each end is included.

WhyThe open sign < means 2 is not included, and ≤ means 6 is included.

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