Mathematics · Professor Pi

Every card in Fractions, Year 8: more practice

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

← Back to Fractions, Year 8: more practice

1 KS3-MATH-NUM-0066

Work out −6 × 4 ÷ (−8). (number only)

3

HintWork from left to right and track the sign at each step.

Why−6 × 4 = −24, and −24 ÷ −8 = 3 because two negatives give a positive.

2 KS3-MATH-NUM-0067

Work out 3/4 × 2/9, giving your answer in its simplest form.

1/6

HintMultiply the tops, multiply the bottoms, then simplify.

Why3 × 2 = 6 and 4 × 9 = 36, so 6/36 = 1/6.

3 KS3-MATH-NUM-0068

Write 17/5 as a mixed number.

3 2/5

HintHow many whole fives are in 17?

Why17 ÷ 5 = 3 remainder 2, so 3 whole units and 2/5 more.

4 KS3-MATH-NUM-0069

Find 15% of £60.

£9

HintBreak 15% into 10% and 5%.

Why10% of £60 is £6, 5% is £3, and £6 + £3 = £9.

5 KS3-MATH-NUM-0070

A coat costing £80 is reduced by 15%. What is the sale price?

£68

HintFind the reduction first, then subtract it.

Why15% of £80 = £12, so £80 − £12 = £68. The multiplier is 0.85.

6 KS3-MATH-NUM-0071

Round 3.4567 to 2 decimal places.

3.46

HintThe third decimal place decides.

WhyThe third decimal digit is 6, so the second digit rounds up from 5 to 6: 3.46.

7 KS3-MATH-NUM-0072

Round 0.0995 to 2 decimal places.

0.10

HintThe third decimal place is 9, so the round-up carries.

WhyRounding up 0.09 gives 0.10: the 9 becomes 10, carrying into the tenths. The final zero is kept to show two decimal places.

8 KS3-MATH-NUM-0073

Round 3,862 to 2 significant figures.

3,900

HintThe first non-zero digit is the first significant figure.

WhyThe two significant figures are 3 and 8, and the next digit, 6, rounds the 8 up to 9. Zeros then hold the place value: 3,900.

9 KS3-MATH-NUM-0074

On a calculator you want (−3)², which should be 9. What must you do so that it does not show −9?

Put the −3 inside brackets before squaring

HintWhich number does the power act on if nothing encloses the minus sign?

WhyTyping −3² can square only the 3 and then apply the minus. Brackets make the minus sign part of the squared number.

10 KS3-MATH-NUM-0075

Work out 3 × 2³ − 4. (number only)

20

HintPowers come before multiplication, which comes before subtraction.

Why2³ = 8, 3 × 8 = 24, and 24 − 4 = 20.

Keep what you learn

Here, nothing is saved. In your child’s own sky every card is scheduled — it comes back just before they’d forget it — and the professor who wrote it is one tap away.

Play these 10 cards No account yet? See plans