Year 6 Maths: Percentages and Shopping

Introduction to Percentages

Hello, Year 6! Today, we are going to learn about percentages and how they relate to shopping. Percentages are a way to express a number as a part of 100. For example, if you scored 80 out of 100 on a test, you scored 80%.

What is a Percentage?

A percentage is a fraction of 100. So:

• 50% means 50 out of 100.
• 25% means 25 out of 100.
• 100% means all of something.

When we go shopping, we often see prices that have discounts, like “20% off.” This means you will pay 20% less than the original price.

How to Calculate Percentages

Key Steps to Calculate a Percentage

1. Find the Percentage:To find a percentage of a number, you can use this formula: $$\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100$$
2. Calculate the Discount:If something costs £50 and has a 20% discount, you find 20% of £50. $$\text{Discount} = 20% \text{ of } £50 = \left( \frac{20}{100} \right) \times 50 = £10$$
3. Find the Sale Price:Subtract the discount from the original price. $$\text{Sale Price} = \text{Original Price} – \text{Discount} = £50 – £10 = £40$$

Key Rules

• To find 10% of a number, divide the number by 10.
• To find 50%, divide the number by 2.
• To find 25%, divide the number by 4.

Tips and Tricks

• Remember, when calculating percentages, it’s helpful to break the problem into smaller parts.
• You can use a calculator for bigger numbers, but always know how to do it by hand!
• Practice with real shopping scenarios to make it more fun!

Questions

Easy Level (20 Questions)

1. What is 50% of £20?
2. What is 25% of £40?
3. If a toy costs £10, what is 10% of it?
4. How much is 20% off a £30 game?
5. What is 10% of £50?
6. If you have £100, what is 1% of it?
7. What is 75% of £60?
8. If a shirt costs £20, what is the sale price if it is 20% off?
9. What is 30% of £90?
10. How much is 15% of £80?
11. What is 5% of £50?
12. How much is 40% off a £50 item?
13. If a book costs £15, what is 10% of it?
14. What is 20% of £25?
15. If you buy a £10 item, what is 50% off?
16. What is 60% of £70?
17. If a jacket is £60 and you get 10% off, how much do you save?
18. What is 80% of £20?
19. If a £50 toy is discounted by 20%, what is the new price?
20. What is 25% of £80?

Medium Level (20 Questions)

1. What is 15% of £200?
2. A dress costs £120. What is 25% off?
3. How much is 35% of £90?
4. If a bike is £300 and you get a 10% discount, how much do you pay?
5. What is 12% of £250?
6. If a tablet costs £150, what is 20% off?
7. What is 40% of £360?
8. If you buy a £80 item with a 15% discount, what is the sale price?
9. How much is 30% off a £70 jacket?
10. What is 22% of £130?
11. If a £120 book is discounted by 30%, what is the new price?
12. What is 5% of £240?
13. If a game costs £45 and has a 20% discount, how much will it cost?
14. What is 18% of £200?
15. If a £90 bike is 25% off, what is the final price?
16. How much is 50% off £250?
17. What is 15% of £80?
18. If a £60 item is 10% off, what is the sale price?
19. How much is 20% of £180?
20. If a £150 item has a 30% discount, what is the final price?

Hard Level (20 Questions)

1. A sofa costs £800. What is the price after a 25% discount?
2. If a pair of shoes is £120 and you get 15% off, how much will you pay?
3. What is 35% of £560?
4. If a laptop costs £900 and is discounted by 20%, what is the new price?
5. How much is 45% of £400?
6. If a £240 watch is 20% off, what is the final price?
7. What is 30% of £750?
8. If a bike costs £600 and is discounted by 10%, what do you pay?
9. How much is 12% of £1,500?
10. If you buy a £1,200 tablet and get 25% off, how much do you save?
11. What is 40% of £360?
12. If a £1,000 item is 15% off, what is the sale price?
13. How much is 50% of £1,800?
14. If a phone costs £700 and you get a 30% discount, how much is the phone?
15. What is 22% of £2,250?
16. If a jacket costs £150 and you discount it by 20%, what is the price?
17. How much is 10% of £850?
18. If a game is £50 and you have a voucher for 25% off, how much will you pay?
19. What is 33% of £900?
20. If a £500 sofa is discounted by 40%, what do you pay?

Answers

Easy Level Answers

1. £10
2. £10
3. £1
4. £6
5. £5
6. £1
7. £45
8. £16
9. £27
10. £12
11. £2.50
12. £20
13. £1.50
14. £5
15. £5
16. £42
17. £6
18. £16
19. £40
20. £20

Medium Level Answers

1. £30
2. £30
3. £31.50
4. £270
5. £30
6. £30
7. £144
8. £68
9. £21
10. £28.60
11. £84
12. £12
13. £36
14. £30
15. £67.50
16. £120
17. £12
18. £54
19. £36
20. £105

Hard Level Answers

1. £600
2. £102
3. £196
4. £720
5. £180
6. £192
7. £225
8. £540
9. £180
10. £300
11. £144
12. £850
13. £900
14. £490
15. £495
16. £120
17. £85
18. £37.50
19. £297
20. £300

Now, go ahead and practice! Understanding percentages will help you save money when you shop!