Year 6 Maths: Find the Percentages of an Amount

Introduction to Percentages

Hello, Year 6! Today we are going to learn about percentages. A percentage is a way to express a number as a part of 100. For example, if you have 25 out of 100, that is 25%, which we write as 25/100.

What is a Percentage?

• Percent means “out of 100”.
• For example, 50% means 50 out of 100.
• If you have 100 marbles and 25 of them are red, you can say 25% of the marbles are red.

Finding Percentages of an Amount

To find a percentage of an amount, you can follow these simple steps:

1. Convert the percentage to a decimal.
   • To do this, divide the percentage by 100.
   • For example, 25% becomes $$\frac{25}{100} = 0.25$$ .
2. Multiply the decimal by the amount.
   • If you want to find 25% of 200, you do the following:
   • $$0.25 \times 200 = 50$$ .
   • So, 25% of 200 is 50.

Example

Let’s practice with an example:

Question: What is 10% of 150?

Step 1: Convert 10% to a decimal:

• $$10% = \frac{10}{100} = 0.10$$ .

Step 2: Multiply the decimal by the amount:

• $$0.10 \times 150 = 15$$ .

So, 10% of 150 is 15.

Key Rules to Remember

1. Convert Percentage to Decimal: Divide by 100.
2. Multiply: Use the decimal with the amount.

Tips and Tricks

• Easy Percentages: Remember that some percentages are easier to find.
  • 10% of any number is just dividing the number by 10.
  • 50% is half of the number.
  • 25% is a quarter of the number (divide by 4).
• Use of Fractions: Some percentages can be converted to fractions directly.
  • For example, 75% is the same as $$\frac{3}{4}$$ , so you can multiply the amount by 3 and then divide by 4.

Practice Questions

Now, let’s try some questions!

Easy Level Questions (1-20)

1. What is 10% of 50?
2. What is 20% of 100?
3. What is 50% of 80?
4. What is 25% of 200?
5. What is 30% of 60?
6. What is 5% of 200?
7. What is 40% of 150?
8. What is 15% of 40?
9. What is 100% of 90?
10. What is 1% of 300?
11. What is 70% of 20?
12. What is 60% of 1000?
13. What is 80% of 250?
14. What is 90% of 200?
15. What is 30% of 90?
16. What is 25% of 60?
17. What is 75% of 40?
18. What is 15% of 200?
19. What is 50% of 40?
20. What is 20% of 150?

Medium Level Questions (21-40)

21. What is 12% of 300?
22. What is 15% of 120?
23. What is 35% of 200?
24. What is 45% of 80?
25. What is 27% of 400?
26. What is 22% of 50?
27. What is 55% of 160?
28. What is 18% of 250?
29. What is 33% of 90?
30. What is 90% of 900?
31. What is 5% of 600?
32. What is 28% of 200?
33. What is 37% of 300?
34. What is 66% of 150?
35. What is 50% of 360?
36. What is 40% of 250?
37. What is 20% of 80?
38. What is 10% of 500?
39. What is 15% of 240?
40. What is 25% of 320?

Hard Level Questions (41-60)

41. What is 17% of 560?
42. What is 33% of 450?
43. What is 29% of 800?
44. What is 44% of 250?
45. What is 72% of 600?
46. What is 63% of 900?
47. What is 85% of 350?
48. What is 90% of 2500?
49. What is 14% of 1200?
50. What is 38% of 450?
51. What is 55% of 320?
52. What is 22% of 550?
53. What is 66% of 850?
54. What is 49% of 2000?
55. What is 19% of 750?
56. What is 26% of 1200?
57. What is 73% of 600?
58. What is 88% of 450?
59. What is 99% of 1000?
60. What is 47% of 3000?

Answers and Explanations

Easy Level Answers

1. 5
2. 20
3. 40
4. 50
5. 18
6. 10
7. 60
8. 6
9. 90
10. 3
11. 14
12. 600
13. 200
14. 180
15. 27
16. 15
17. 30
18. 30
19. 20
20. 30

Medium Level Answers

21. 36
22. 18
23. 70
24. 36
25. 108
26. 11
27. 88
28. 45
29. 30
30. 810
31. 30
32. 56
33. 111
34. 99
35. 180
36. 100
37. 16
38. 50
39. 36
40. 80

Hard Level Answers

41. 95.2
42. 148.5
43. 232
44. 110
45. 432
46. 567
47. 297.5
48. 2250
49. 168
50. 171
51. 176
52. 121
53. 561
54. 980
55. 142.5
56. 312
57. 438
58. 396
59. 990
60. 1410

I hope this lesson helps you understand how to find percentages of an amount! Keep practicing, and you’ll get even better at it!