Fractions Decimals Percentages Worksheet — KS3 — Intermediate
Fractions Decimals Percentages worksheet for Key Stage 3 / Year 7-9 (Ages 11-14). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Mastering Fractions, Decimals, and Percentages
Key Stage 3 / Ages 11-14 / Intermediate Level
Instructions: This worksheet will help you strengthen your understanding of fractions, decimals, and percentages. Work through each activity carefully, showing all your calculations where required.
Converting Fractions to Decimals
Convert each fraction into a decimal. Write your answer in the box provided.
1. 3/4
2. 7/8
3. 5/6
4. 2/5
5. 9/10
6. 1/3
7. 11/20
8. 4/25
Converting Decimals to Percentages
Convert each decimal into a percentage. Remember to multiply the decimal by 100 to find the percentage.
1. 0.75
2. 0.45
3. 0.62
4. 0.89
5. 0.33
6. 0.58
7. 0.27
8. 0.95
Finding Percentages of Amounts
Calculate the percentage of each amount. Show your working clearly.
1. 20% of £150
2. 35% of £200
3. 50% of £80
4. 15% of £60
5. 75% of £120
6. 10% of £500
7. 5% of £250
8. 60% of £90
Comparing Fractions and Decimals
For each pair, determine which is greater. Write the greater value in the box.
1. 3/5 or 0.6
2. 7/10 or 0.68
3. 1/4 or 0.3
4. 5/8 or 0.625
5. 9/20 or 0.45
6. 2/3 or 0.66
7. 4/9 or 0.44
8. 11/15 or 0.72
Fraction, Decimal, and Percentage Equivalents
Complete the table by converting each value into its equivalent fraction, decimal, or percentage.
| Fraction | Decimal | Percentage |
| 1/2 | 0.5 | |
| 0.75 | 75% | |
| 3/4 | ||
| 0.2 | 20% | |
| 0.4 | 40% |
1. Fill in the missing values in the table.
Word Problems with Percentages
Solve each word problem by calculating the percentage. Show your workings clearly.
1. A jacket costs £80. It is on sale for 25% off. What is the sale price?
2. A class has 30 students. 40% of them are girls. How many girls are in the class?
3. A car travels 150 miles on 60% of a full tank. How far can it travel on a full tank?
4. A shop sells 120 items in a day. If 25% are returned, how many items were returned?
Simplifying Fractions
Simplify each fraction to its lowest terms. Write your answer in the box provided.
1. 18/24
2. 45/60
3. 32/48
4. 27/36
5. 50/100
6. 14/28
7. 21/35
8. 16/40
Converting Percentages to Fractions
Convert each percentage into a fraction in its simplest form.
1. 25%
2. 40%
3. 75%
4. 60%
5. 90%
6. 10%
7. 80%
8. 55%
Activity 1: 0.75 ; 0.875 ; 0.833 ; 0.4 ; 0.9 ; 0.333 ; 0.55 ; 0.16
Activity 2: 75% ; 45% ; 62% ; 89% ; 33% ; 58% ; 27% ; 95%
Activity 3: £30 ; £70 ; £40 ; £9 ; £90 ; £50 ; £12.5 ; £54
Activity 4: 0.6 ; 0.7 ; 0.3 ; 0.625 ; 0.45 ; 0.66 ; 0.44 ; 0.733
Activity 5: 50% ; 0.75 ; 3/4 ; 1/5 ; 0.2 ; 1/5 ; 2/5
Activity 6: £60 ; 12 ; 250 miles ; 30
Activity 7: 3/4 ; 3/4 ; 2/3 ; 3/4 ; 1/2 ; 1/2 ; 3/5 ; 2/5
Activity 8: 1/4 ; 2/5 ; 3/4 ; 3/5 ; 9/10 ; 1/10 ; 4/5 ; 11/20
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