Year 5 Maths: Fractions of 10%

Understanding 10% as a Fraction

Hello, Year 5! Today, we are going to learn about fractions of 10%.

What is 10%?

When we say 10%, we mean 10 out of every 100. It’s a way to describe a part of a whole.

How to Convert 10% to a Fraction

To convert 10% to a fraction:

1. Remember that percent means “out of 100.”
2. So, 10% can be written as:$$\frac{10}{100}$$
3. Now, we can simplify it. Both the top (numerator) and the bottom (denominator) can be divided by 10:$$\frac{10 \div 10}{100 \div 10} = \frac{1}{10}$$

So, 10% is the same as the fraction $$\frac{1}{10}$$.

Finding Fractions of 10%

Now, let’s see how we can find different fractions of 10%.

Example 1: What is 50% of 10%?

1. We know that 10% is $$\frac{1}{10}$$.
2. To find 50% of that, we can multiply:$$\frac{1}{10} \times \frac{50}{100}$$
3. Simplifying this gives us:$$\frac{1 \times 50}{10 \times 100} = \frac{50}{1000} = \frac{1}{20}$$

So, 50% of 10% is $$\frac{1}{20}$$.

Example 2: What is 25% of 10%?

1. Again, we start with 10% as $$\frac{1}{10}$$.
2. This time we multiply by 25%:$$\frac{1}{10} \times \frac{25}{100}$$
3. Simplifying gives:$$\frac{1 \times 25}{10 \times 100} = \frac{25}{1000} = \frac{1}{40}$$

So, 25% of 10% is $$\frac{1}{40}$$.

Key Rules, Tips, and Tricks

• Remember: 10% means $$\frac{1}{10}$$.
• To find a fraction of 10%, multiply the fraction you want by $$\frac{1}{10}$$.
• Always simplify your fractions if you can!
• Visual aids: Use pie charts or blocks to see how parts make up the whole.

Questions for Practice

Easy Level Questions

1. What is 10% of 100?
2. What is 10% of 50?
3. What is 10% of 10?
4. What is 10% of 30?
5. What is 10% of 90?
6. What is 10% of 200?
7. What is 10% of 25?
8. What is 10% of 150?
9. What is 10% of 70?
10. What is 10% of 80?
11. What is 10% of 40?
12. What is 10% of 60?
13. What is 10% of 15?
14. What is 10% of 45?
15. What is 10% of 20?
16. What is 10% of 500?
17. What is 10% of 75?
18. What is 10% of 1?
19. What is 10% of 3?
20. What is 10% of 4?

Medium Level Questions

1. What is 20% of 10%?
2. What is 30% of 10%?
3. What is 40% of 10%?
4. What is 50% of 10%?
5. What is 75% of 10%?
6. What is 1/2 of 10%?
7. What is 1/4 of 10%?
8. What is 60% of 10%?
9. What is 80% of 10%?
10. What is 90% of 10%?
11. What is 3/4 of 10%?
12. What is 2/5 of 10%?
13. What is 5/10 of 10%?
14. What is 1/10 of 10%?
15. What is 10/100 of 10%?
16. What is 10% of 250?
17. What is 10% of 400?
18. What is 10% of 8?
19. What is 10% of 12?
20. What is 10% of 5000?

Hard Level Questions

1. What is 15% of 10%?
2. What is 35% of 10%?
3. What is 55% of 10%?
4. What is 65% of 10%?
5. What is 85% of 10%?
6. What is 1/8 of 10%?
7. What is 7/10 of 10%?
8. What is 9/10 of 10%?
9. What is 4/10 of 10%?
10. What is 6/10 of 10%?
11. What is 11% of 10%?
12. What is 9% of 10%?
13. What is 2/3 of 10%?
14. What is 3/5 of 10%?
15. What is 1/3 of 10%?
16. What is 1% of 10%?
17. What is 0.5% of 10%?
18. What is 25% of 10%?
19. What is 12.5% of 10%?
20. What is 30% of 10%?

Answers and Explanations

Easy Level Answers

1. 10
2. 5
3. 1
4. 3
5. 9
6. 20
7. 2.5
8. 15
9. 7
10. 8
11. 4
12. 6
13. 1.5
14. 4.5
15. 2
16. 50
17. 7.5
18. 0.1
19. 0.3
20. 0.4

Medium Level Answers

1. $$\frac{1}{50}$$
2. $$\frac{3}{100}$$
3. $$\frac{2}{5}$$
4. $$\frac{1}{20}$$
5. $$\frac{3}{40}$$
6. $$\frac{1}{20}$$
7. $$\frac{1}{40}$$
8. $$\frac{3}{50}$$
9. $$\frac{4}{50}$$
10. $$\frac{9}{100}$$
11. $$\frac{3}{40}$$
12. $$\frac{1}{25}$$
13. $$\frac{1}{20}$$
14. $$\frac{1}{20}$$
15. $$\frac{1}{100}$$
16. 25
17. 40
18. 0.8
19. 1.2
20. 500

Hard Level Answers

1. $$\frac{3}{200}$$
2. $$\frac{7}{200}$$
3. $$\frac{11}{200}$$
4. $$\frac{13}{200}$$
5. $$\frac{17}{200}$$
6. $$\frac{1}{80}$$
7. $$\frac{7}{100}$$
8. $$\frac{9}{100}$$
9. $$\frac{2}{50}$$
10. $$\frac{3}{50}$$
11. $$\frac{11}{100}$$
12. $$\frac{9}{1000}$$
13. $$\frac{1}{30}$$
14. $$\frac{3}{50}$$
15. $$\frac{1}{100}$$
16. $$\frac{1}{1000}$$
17. $$\frac{1}{2000}$$
18. $$\frac{1}{80}$$
19. $$\frac{1}{80}$$
20. $$\frac{3}{80}$$

I hope this helps you understand fractions of 10%! Remember to practice, and you’ll get even better!