Module 4 · Practice

Practice questions

Three difficulty levels. Have a proper go before checking the answers.

Section A — Easy

Warm-up

Calculate (simplify where possible):

(a) 1/2 × 3/5 (b) 2/3 × 4/7 (c) 3/4 × 8/9

Calculate:

(a) 1/2 ÷ 1/4 (b) 2/3 ÷ 4/5 (c) 3/8 ÷ 1/2

Find:

(a) 25% of 80 (b) 10% of 65 (c) 50% of 24

Increase £40 by 10%.

Decrease £150 by 20%.

What is the multiplier for:

(a) +12% (b) −7% (c) +35%

Typical Year 8 standard

Calculate:

(a) 2 1/2 × 1 3/4 (b) 3 1/3 ÷ 2/5

Find 18% of £250.

A coat costs £80. In a sale, it is reduced by 35%. Find the sale price.

A house was bought for £180 000 and sold for £207 000. What was the percentage profit?

A laptop is reduced from £960 to £720. Find the percentage decrease.

3/8 of a box of biscuits has been eaten. There are 25 biscuits left. How many were in the box originally?

Challenge / problem-solving

A price is increased by 20% and then decreased by 20%. Is the final price the same as the original? If not, what is the overall percentage change?

After a 15% pay rise, a salary is £27 600. What was it before?

Calculate, leaving as a single simplified fraction:

(2/3 + 1/4) × 6/11

A shop adds 25% mark-up on cost, then offers a 25% discount in a sale. The sale price is £45. What did the shop pay for the item?