Percentage word problems – practice for Years 7–9

Sample questions on Percentage word problems with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject

Maths

Year

Years 7–9

Curriculum area

Relationships, functions and data

Question types: Matching: three percentage problems

Sample questions

1. Question 1 Easy

   Match each problem (1–3) with its result (A–F). Use each option at most once.

   1. A TV cost £800. Its price first went up by 25%, then went down by 25%. How much does the TV cost now?
   2. After a 10% price cut, a jacket costs £54. How much did it cost before the cut?
   3. A bike cost £520. In the sale it is 50% cheaper. How much does the bike cost in the sale?

   • A) £60
   • B) £260
   • C) £750
   • D) £780
   • E) £800
   • F) £1000
   Show the solution

   Answer:

   1. A TV cost £800. Its price first went up by 25%, then went down by 25%. How much does the TV cost now? → C) £750
   2. After a 10% price cut, a jacket costs £54. How much did it cost before the cut? → A) £60
   3. A bike cost £520. In the sale it is 50% cheaper. How much does the bike cost in the sale? → B) £260

   How it works: 1 → C: £800 × 1.25 × 0.75 = £750. 2 → A: £54 ÷ 0.9 = £60. 3 → B: £520 × 0.5 = £260.

2. Question 2 Normal

   Match each problem (1–3) with its result (A–F). Use each option at most once.

   1. After a 40% price cut, a jacket costs £360. How much did it cost before the cut?
   2. Eva had saved £1800. First she spent 10% of her savings, then 10% of what was left. How much money does she have left?
   3. A TV cost £700. Its price first went down by 50%, then went up by 40%. How much does the TV cost now?

   • A) £144
   • B) £162
   • C) £490
   • D) £600
   • E) £1458
   • F) another result
   Show the solution

   Answer:

   1. After a 40% price cut, a jacket costs £360. How much did it cost before the cut? → D) £600
   2. Eva had saved £1800. First she spent 10% of her savings, then 10% of what was left. How much money does she have left? → E) £1458
   3. A TV cost £700. Its price first went down by 50%, then went up by 40%. How much does the TV cost now? → C) £490

   How it works: 1 → D: £360 ÷ 0.6 = £600. 2 → E: £1800 × 0.9 × 0.9 = £1458. 3 → C: £700 × 0.5 × 1.4 = £490.

3. Question 3 Hard

   Match each problem (1–3) with its result (A–F). Use each option at most once.

   1. A game costs £50 before VAT. VAT of 20% is added, and then the shop takes 35% off the new price. How much does the game cost after the discount?
   2. Eva had saved £2000. First she spent 5% of her savings, then 35% of what was left. How much money does she have left?
   3. The price of a bike first went down by 30%, then went up by 30%. Now the bike costs £819. How much did it cost at the start?

   • A) £39
   • B) £665
   • C) £900
   • D) £1200
   • E) £1235
   • F) another result
   Show the solution

   Answer:

   1. A game costs £50 before VAT. VAT of 20% is added, and then the shop takes 35% off the new price. How much does the game cost after the discount? → A) £39
   2. Eva had saved £2000. First she spent 5% of her savings, then 35% of what was left. How much money does she have left? → E) £1235
   3. The price of a bike first went down by 30%, then went up by 30%. Now the bike costs £819. How much did it cost at the start? → C) £900

   How it works: 1 → A: £50 × 1.2 × 0.65 = £39. 2 → E: £2000 × 0.95 × 0.65 = £1235. 3 → C: £819 ÷ 1.3 = £630; £630 ÷ 0.7 = £900.

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