Percentages, Money and Financial Problems - Worksheets, Questions and Revision

20 original exam-style questions - 7 pages of questions with a full mark scheme - free printable PDF.

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13+ · Mathematics

CE.M8 Percentages, Money and Financial Problems

ISEB CE CE.M8 · Calculator allowed · about 75 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A charity has raised 250 pounds towards a new library. Find 10% of 250 pounds.
(Total for Question 1 is 1 mark)
2
A pair of trainers costs 64 pounds before a discount is applied. Calculate 15% of 64 pounds.
(Total for Question 2 is 2 marks)
3
Write each of the following as a percentage.
(a)7/20(1)
(b)0.09(1)
(Total for Question 3 is 2 marks)
4
A jacket costs 84 pounds. In a sale it is reduced by 20%. Calculate the sale price of the jacket.
(Total for Question 4 is 3 marks)
5
A school raised 120 pounds for a local food bank last year. This year the amount raised increased by 30%.
(a)Calculate the amount raised this year.(2)
(b)Express the increase in the amount raised as a fraction of last year's amount. Give your answer in its simplest form.(2)
(Total for Question 5 is 4 marks)
6
A games console costs 460 pounds before VAT is added. VAT is charged at 20%. Calculate the total price of the console, including VAT.
(Total for Question 6 is 3 marks)
7
Aiden invests 500 pounds in a savings account paying simple interest at 3% per year. Calculate the total amount in the account after 4 years.
(Total for Question 7 is 3 marks)
8
A pair of headphones is reduced by 12% in a sale. The sale price of the headphones is 105.60 pounds. Calculate the original price of the headphones, before the sale.
(Total for Question 8 is 3 marks)
9
Freya invests 800 pounds in a savings account paying compound interest at 4% per year. Calculate the value of her investment after 3 years, giving your answer to the nearest penny.
(Total for Question 9 is 3 marks)
10
A market trader buys and sells goods.
(a)The trader buys a batch of umbrellas for 150 pounds in total and sells them for 180 pounds in total. Calculate the percentage profit.(2)
(b)The trader also buys a batch of garden chairs for 220 pounds in total and sells them for 198 pounds in total. Calculate the percentage loss.(2)
(Total for Question 10 is 4 marks)
11
A 750 g box of cereal costs 2.85 pounds. A 1.2 kg box of the same cereal costs 4.20 pounds. By comparing the cost per 100 g, determine which box gives better value for money. Show your working.
(Total for Question 11 is 4 marks)
12
The exchange rate is 1 pound = 1.15 euros. Convert 340 pounds to euros.
(Total for Question 12 is 2 marks)
13
Nadia earns 11.50 pounds per hour for a standard working week. Any overtime is paid at 1.5 times her normal hourly rate.
(a)Nadia works a standard 35-hour week. Calculate her pay for this week.(2)
(b)In one week, Nadia works her standard 35 hours plus 6 hours of overtime. Calculate her total pay for that week.(3)
(Total for Question 13 is 5 marks)
14
In a simplified tax system, the first 12500 pounds of a person's income each year is tax-free. Any income above 12500 pounds is taxed at 20%. Calculate the tax paid by someone earning 28000 pounds in a year.
(Total for Question 14 is 3 marks)
15
A smart watch originally costs 90 pounds. It is first reduced by 10% in a sale. The new, reduced price is then reduced by a further 10% in a clearance sale.
(a)Calculate the price of the smart watch after both reductions.(3)
(b)Explain why the overall reduction is not equal to 20% of the original price, and calculate the overall percentage reduction, correct to 1 decimal place if necessary.(3)
(Total for Question 15 is 6 marks)
16
The price of a washing machine, including 20% VAT, is 474 pounds. Calculate the price of the washing machine before VAT was added.
(Total for Question 16 is 3 marks)
17
Kwame opens a savings account with 2000 pounds. The account pays compound interest at 2.5% per year.
(a)Calculate the value of his savings after 2 years, to the nearest penny.(3)
(b)At the start of year 3, Kwame withdraws 500 pounds from the account. Interest at 2.5% per year continues to be paid on the remaining balance. Calculate the value of his savings at the end of year 3, to the nearest penny.(3)
(Total for Question 17 is 6 marks)
18
Chloe, Dev and Elif invest in a small business in the ratio 3:4:5. In the first year, the business makes a profit of 9600 pounds, which is shared between them in the same ratio as their investment.
(a)Calculate each friend's share of the profit.(4)
(b)In the second year, the profit increases by 15% from the first year's profit. Calculate Elif's share of the profit in the second year, giving your answer to the nearest pound if necessary.(3)
(Total for Question 18 is 7 marks)
19
A student council is organising a school talent show. The organisers must pay a venue hire fee of 150 pounds, plus 20% VAT on the venue hire fee. They also spend 45 pounds on decorations (this amount already includes VAT). Tickets are sold at 8 pounds each.
(a)Calculate the total cost of the venue hire, including VAT.(2)
(b)96 tickets are sold. Calculate the total income from ticket sales.(2)
(c)Calculate the percentage of the ticket income that is spent on the venue hire (including VAT) and decorations combined. Give your answer correct to 1 decimal place.(3)
(Total for Question 19 is 7 marks)
20
Mrs Bennett is organising a Year 8 ski trip. The full price per student is 680 pounds.
(a)The school negotiates a 12% discount on the full price for group bookings of 20 or more students. Calculate the discounted price per student, to the nearest penny.(2)
(b)Students who pay by 31 January receive an additional 5% off the discounted price. The two discounts are applied one after the other, not added together. Calculate the final price per student for a student who pays by 31 January.(2)
(c)24 students go on the trip, and all of them pay by 31 January. Calculate the total amount paid by the students.(2)
(d)Mrs Bennett had instead invested the total amount from part c in a savings account paying 2% compound interest per year for 2 years, before eventually paying the ski company. Calculate how much interest this investment would have earned, giving your answer to the nearest penny.(4)
(Total for Question 20 is 10 marks)
Mark scheme · CE.M8 Percentages, Money and Financial Problems

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20