Year 8 Percentages Worksheet - Intermediate
Year 8 Percentages worksheet for Year 8 (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.
Percentages in Action
Year 8 • Ages 12–13 • Intermediate
Instructions: Work through each activity in order, showing clear working in the answer spaces. Use decimal multipliers where requested and include the correct units in your answers. Check that percentage changes and profit or loss are calculated from the correct starting amount.
Increase and Decrease
Calculate each new amount. For an increase, add the percentage to 100%; for a decrease, subtract it from 100%. Show your working and include the unit.
1. Increase £80 by 15%. [3 marks]
2. Decrease 240 kg by 12%. [3 marks]
3. Increase £360 by 7.5%. [3 marks]
4. Decrease 640 m by 25%. [3 marks]
Decimal Multipliers
First write the decimal multiplier for the stated percentage change. Then use it to calculate the new amount. Remember that an increase uses a multiplier greater than 1, while a decrease uses one less than 1.
1. Increase £250 by 8%. Write the multiplier and the new amount. [3 marks]
2. Decrease 480 g by 15%. Write the multiplier and the new amount. [3 marks]
3. Increase £72 by 12.5%. Write the multiplier and the new amount. [3 marks]
4. Decrease 1,200 litres by 6%. Write the multiplier and the new amount. [3 marks]
Percentage Change
For each question, find the difference between the original and new amounts, then express that difference as a percentage of the original amount. State whether the change is an increase or a decrease.
1. A ticket price rises from £40 to £46. Find the percentage change. [3 marks]
2. A plant grows from 80 cm to 92 cm. Find the percentage change. [3 marks]
3. A bag’s price falls from £120 to £90. Find the percentage change. [3 marks]
4. A club’s membership falls from 250 to 225 people. Find the percentage change. [3 marks]
Profit and Loss
Compare the selling price with the cost price to decide whether there is a profit or a loss. Calculate the percentage using the cost price as the original amount. Give your answer to one decimal place where needed.
1. A shop buys a lamp for £32 and sells it for £40. Calculate the profit and the percentage profit. [3 marks]
2. A bicycle is bought for £240 and sold for £204. Calculate the loss and the percentage loss. [3 marks]
3. A game is bought for £18 and sold for £21.60. Calculate the profit and the percentage profit. [3 marks]
4. A table is bought for £150 and sold for £127.50. Calculate the loss and the percentage loss. [3 marks]
Simple Interest
Use simple interest: interest = principal × annual rate × time in years. Calculate the interest first, then add it to the principal to find the total amount. The interest rate stays the same each year.
1. Find the simple interest earned on £200 at 5% per year for 3 years. Then find the total amount. [3 marks]
2. Find the simple interest earned on £450 at 4% per year for 2 years. Then find the total amount. [3 marks]
3. Find the simple interest earned on £800 at 2.5% per year for 4 years. Then find the total amount. [3 marks]
4. £600 is invested at 3% simple interest per year. How much will the investment be worth after 5 years? [3 marks]
Activity 1: £92 ; 211.2 kg ; £387 ; 480 m
Activity 2: 1.08, £270 ; 0.85, 408 g ; 1.125, £81 ; 0.94, 1,128 litres
Activity 3: 15% increase ; 15% increase ; 25% decrease ; 10% decrease
Activity 4: £8 profit, 25% profit ; £36 loss, 15% loss ; £3.60 profit, 20% profit ; £22.50 loss, 15% loss
Activity 5: £30 interest, £230 total ; £36 interest, £486 total ; £80 interest, £880 total ; £90 interest, £690 total
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