Complete each pair of questions and tick the skill on the checklist above if you feel confident. Show your working throughout.

1. Skill 1: Finding a percentage of an amount

   1a. Find 40% of 350.

2. 1b. Find 17.5% of 680. Give your answer to 2 decimal places.

3. Skill 2: Percentage increase and decrease

   2a. Increase 450 by 20%.

4. 2b. A price of £320 is decreased by 35%. Find the new price.

5. Skill 3: Expressing one quantity as a percentage of another

   3a. Express 18 as a percentage of 72.

6. 3b. A student scores 63 out of 84 in a test. Express their score as a percentage. Give your answer to 1 decimal place.

7. Skill 4: Percentage change

   4a. A book costs £8.00 one year and £9.20 the next year. Calculate the percentage increase.

8. 4b. A town's population fell from 32,000 to 27,200. Calculate the percentage decrease.

9. Skill 5: Reverse percentages

   5a. After a 25% increase, a value is 125. Find the original value.

10. 5b. A price after a 30% reduction is £175. What was the original price?

11. Skill 6: Compound interest

    6a. £3,000 is invested at 5% compound interest per year. What is it worth after 2 years?

12. 6b. A car bought for £12,000 depreciates at 20% per year. What is it worth after 3 years?

13. Skill 7: Converting between fractions, decimals, and percentages

    7a. Write these in order from smallest to largest: 0.72, 3/4, 68%, 7/10.

14. 7b. Express 5/8 as a percentage. Express 0.065 as a percentage.

15. Skill 8: VAT and discounts

    8a. A laptop costs £650 plus VAT at 20%. What is the total price?

16. 8b. A receipt shows £228 including VAT at 20%. What was the price before VAT?

17. Skill 9: Profit and loss

    9a. A trader buys items for £25 each and sells them for £34. Calculate the percentage profit.

18. 9b. A company bought equipment for £8,000 and later sold it for £5,600. Calculate the percentage loss.

19. Skill 10: Word problems

    10a. A cinema sold 1,200 tickets on a Saturday. 35% of tickets sold were for the evening showing. How many evening tickets were sold?

20. 10b. A factory produces 3,600 items per day. Quality control rejects 4.5% of items. How many items pass quality control each day?

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