Percentages Worksheet — KS2 — Intermediate
Percentages worksheet for Key Stage 2 / Year 3-6 (Ages 7-11). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Mastering Percentages: A Fun and Educational Journey
Key Stage 2 / Ages 7-11 - Intermediate Level
Instructions: This worksheet is designed to help you understand and master percentages. You'll explore various activities that will guide you through calculating percentages, solving word problems, and interpreting data. Follow the instructions for each activity and use the provided spaces to write your answers.
Understanding Percentages
Convert the following fractions into percentages. Remember, to convert a fraction to a percentage, divide the top number by the bottom number and then multiply by 100.
1. 1/2 =
2. 3/4 =
3. 2/5 =
4. 5/8 =
5. 7/10 =
Percentage of a Number
Calculate the percentage of the given numbers. Use the formula: (percentage / 100) x total number.
1. 20% of 150 =
2. 35% of 200 =
3. 50% of 80 =
4. 75% of 120 =
5. 10% of 500 =
Finding the Whole
Find the total number when given a percentage of it. Use the formula: total = part / (percentage / 100).
1. 25% of ___ is 50
2. 40% of ___ is 80
3. 60% of ___ is 120
4. 15% of ___ is 30
5. 80% of ___ is 160
Real-Life Percentage Problems
Solve these word problems using your knowledge of percentages. Show your working in the space provided.
1. Sarah bought a dress for £60 and got a 20% discount. How much did she pay?
2. A school has 500 students, and 60% are girls. How many girls are there?
3. A book costs £15. If the VAT is 5%, what is the total price?
4. A car's value decreases by 10% every year. If it was worth £20,000, what is its value after one year?
Interpreting Percentage Data
Look at the table below and answer the questions. The table shows the percentage of students who like different subjects.
| Subject | Maths | Science |
| English | Percentage | 40% |
| 35% | 25% |
1. Which subject is the most liked?
2. What percentage of students like Science?
3. How many more students like Maths than English?
Percentage Increase and Decrease
Calculate the new amount after a percentage increase or decrease. Use the formula: new amount = original amount ± (percentage / 100 x original amount).
1. Increase £200 by 15%
2. Decrease £150 by 20%
3. Increase £80 by 25%
4. Decrease £100 by 10%
Percentage Equations
Solve these equations to find the unknown percentage. Use the formula: percentage = (part / whole) x 100.
1. ___% of 200 is 50
2. ___% of 150 is 75
3. ___% of 80 is 40
4. ___% of 60 is 30
Percentage Conversion Practice
Convert the following percentages into decimals and fractions. Write your answers in the spaces provided.
1. 25% = (decimal) ; (fraction)
2. 50% = (decimal) ; (fraction)
3. 75% = (decimal) ; (fraction)
4. 10% = (decimal) ; (fraction)
Activity 1: 50% ; 75% ; 40% ; 62.5% ; 70%
Activity 2: 30 ; 70 ; 40 ; 90 ; 50
Activity 3: 200 ; 200 ; 200 ; 200 ; 200
Activity 4: £48 ; 300 ; £15.75 ; £18,000
Activity 5: Maths ; 35% ; 15
Activity 6: £230 ; £120 ; £100 ; £90
Activity 7: 25% ; 50% ; 50% ; 50%
Activity 8: 0.25 ; 1/4 ; 0.5 ; 1/2 ; 0.75 ; 3/4 ; 0.1 ; 1/10
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