Year 9 Percentages Worksheet - Beginner

Year 9 Percentages worksheet for Year 9 (Key Stage 3 / Year 7-9 (Ages 11-14)). Beginner level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 3 / Year 7-9 (Ages 11-14)•Percentagesbeginner

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Percentages in Practice: Year 9

Ages 13–14 | Beginner

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Instructions: Use the worked example to remind yourself how percentage multipliers work. Show your calculations in the answer spaces, and include units where needed. Check whether each answer is sensible before moving on.

Reverse percentages: find the starting amount

To undo a percentage change, divide by the multiplier for the change. For example, after a 20% increase, the new amount is 120% of the original, so divide the new amount by 1.20. Find each original amount and show your working.

Worked example: After a 20% increase, a price is £60. Original price = £60 ÷ 1.20 = £50.

1. After a 10% increase, a number is 88. What was the original number?

2. After a 20% decrease, a coat costs £64. What was its original price?

3. After a 25% increase, a monthly bill is £150. What was the bill before the increase?

4. After a 15% decrease, a bicycle costs £340. What was its original price? [3 marks each]

Compound interest: repeated growth

Compound interest is calculated on the new balance each year. Multiply by the yearly growth multiplier once for each year; for example, 5% growth uses a multiplier of 1.05. Give money answers to the nearest penny where necessary.

1. £200 is invested at 5% compound interest per year. What is the balance after 2 years?

2. £500 is invested at 4% compound interest per year. What is the balance after 3 years?

3. A town has a population of 8,000. It grows by 10% each year for 2 years. What is the population after 2 years?

4. A machine worth £1,000 loses 20% of its value each year. What is its value after 2 years? [3 marks each]

Percentages greater than 100%

Remember that 100% is the whole amount. A percentage greater than 100% is more than the whole: for example, 150% means 1.5 times the amount. Calculate each value and show a clear method.

1. Find 125% of 80.

2. Find 150% of £36.

3. A number is increased by 120%. The original number is 50. What is the new number?

4. A charity raises £240, which is 160% of its target. What was the target? [3 marks each]

Choose an efficient method

Choose a suitable method for each context: a fraction, a simple percentage, or a multiplier may save time. Write the calculation you chose as well as the answer. Include the correct units.

1. A £60 jacket is reduced by 25%. Find the sale price.

2. A café bill of £48 is increased by 12.5%. Find the new bill.

3. A school has 240 pupils. The number rises by 5%. How many pupils are there now?

4. A laptop costs £800 and is reduced by 15%. Find the reduced price. [3 marks each]

Spot the multiplier

Use the percentage change to write the correct multiplier, then use it to calculate the final amount. An increase has a multiplier greater than 1; a decrease has a multiplier less than 1. Show both the multiplier and the final answer.

1. Increase £120 by 8%. Multiplier: Final amount:

2. Decrease 250 kg by 12%. Multiplier: Final amount:

3. Increase 640 by 2.5%. Multiplier: Final amount:

4. Decrease £90 by 30%. Multiplier: Final amount: [2 marks each]

Explain and compare percentage methods

For each question, calculate the answer and briefly state an efficient method, such as finding 10% first or using a multiplier. Keep your explanation to one short sentence. Check your answer against the original amount.

1. A £40 meal is increased by 15%. What is the new price, and what efficient method did you use?

2. A 500 ml bottle is 20% full. How much liquid is in the bottle? What is the quickest calculation?

3. A £72 pair of trainers is reduced by 25%. What is the sale price, and why is your method efficient? [3 marks each]

Answer Key

Activity 1: 1. 80 ; 2. £80 ; 3. £120 ; 4. £400

Activity 2: 1. £220.50 ; 2. £562.43 ; 3. 9,680 people ; 4. £640

Activity 3: 1. 100 ; 2. £54 ; 3. 110 ; 4. £150

Activity 4: 1. £45 ; 2. £54 ; 3. 252 pupils ; 4. £680

Activity 5: 1. Multiplier 1.08; £129.60 ; 2. Multiplier 0.88; 220 kg ; 3. Multiplier 1.025; 656 ; 4. Multiplier 0.70; £63

Activity 6: 1. £46; for example, find 10% (£4) and 5% (£2), then add £6 ; 2. 100 ml; find 10% (50 ml) and double it ; 3. £54; find 25% by dividing £72 by 4, then subtract £18