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3.8F Percentage Change: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Work out 10% of 230.

(Total for Question 1 is 1 mark)

Work out 25% of 160.

(Total for Question 2 is 1 mark)

Increase 150 by 20%.

(Total for Question 3 is 2 marks)

Decrease 80 by 15%.

(Total for Question 4 is 2 marks)

An item costs £60. It is reduced by 30% in a sale. Work out the sale price.

(Total for Question 5 is 2 marks)

A jacket cost £45 last month. This month it costs £54. Work out the percentage increase in price. Give your answer to the nearest whole percent if necessary.

(Total for Question 6 is 3 marks)

A pair of trainers is reduced by 20% and now costs £56. Work out the original price of the trainers.

(Total for Question 7 is 2 marks)

A book costs £200. First it is increased by 10%, then the new price is decreased by 10%. Work out the final price.

(Total for Question 8 is 3 marks)

The population of a small town is 1200. It falls by 5% one year and then rises by 10% the next year. Work out the population after these two changes. Give your answer to the nearest whole person.

(Total for Question 9 is 3 marks)

A shirt originally costs £30. It is reduced by 40% in a sale and the reduced price is then further reduced to £9 by a second sale. Work out the percentage reduction in the second sale. Give your answer as a percentage.

(Total for Question 10 is 3 marks)

Mark scheme · 3.8F Percentage Change: Foundation Tier Practice

Question 1

B1 23 cao
Answer: 23 pence/units (23 cao). Note: numeric answer 23 assumed as units of the quantity given in the question.

Question 2

B1 40 cao
Answer: 40

Question 3

M1 multiply 150 by 1.20 or show correct method to find 20% and add to 150
A1 180 cao
Answer: 180

Question 4

M1 find 15% of 80 or multiply 80 by 0.85
A1 68 cao
Answer: 68

Question 5

M1 calculate 30% of 60 or multiply by 0.70
A1 £42 cao
Answer: £42

Question 6

M1 find change 54 - 45 = 9
M1 express change as fraction of original 9/45 and convert to percent
A1 20% cao
Answer: 20%

Question 7

M1 recognise original = 56 ÷ 0.8 or equivalent method
A1 £70 cao
Answer: £70

Question 8

M1 first increase: 200 x 1.10 = 220 or show 10% of 200 = 20 and add
M1 then decrease 10% of 220 = 22 or multiply 220 by 0.90
A1 £198 cao
Answer: £198

Question 9

M1 apply decrease: 1200 x 0.95 = 1140
M1 apply increase: 1140 x 1.10 = 1254
A1 1254 people cao
Answer: 1254 people

Question 10

M1 find price after first reduction: 30 x 0.60 = 18
M1 find fraction for second reduction: (18 - 9) / 18 or 9/18
A1 50% cao
Answer: 50%

Percentage Change: Foundation Tier Practice - Worksheets, Questions and Revision