Initial Diagnostic Audit - Unit A2: Using Fractions and Percentages

Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section A2.1 - Fractions, Decimals and Percentages
1.
Convert 12% to a fraction.  
  
2. Convert 5.5% to a decimal.
3. Convert 0.375 to a percentage. %
4.
Convert 
3
  to a percentage. %
8
5.
Complete this equation:  
4
  =  
  =  
20
 
5
100
Section A2.2 - Fractions and Percentages of Quantities
6. What is 30% of £60? £
7.
What is 
4
  of 63 kg? kg
9
8. A theatre has 2500 seats of which 16% have binoculars available.
How many binoculars are there?
9. A house bought for £110000 has increased in value by 15%.
What is its price now? £
10. In a school, 65% of the students are girls.
If there are 169 girls, how many boys are there?
Section A2.3 - Quantities as Percentages
11. Express 7 out of 25 as a percentage. %
12. Express 58 out of 200 as a percentage. %
13. Which one of the following results represents the best performance in terms of percentage score?

Click under the answer that you think is correct

17 out of 25
67 out of 100
33 out of 50
6 out of 10

14. The total cost of a repair is £40, of which £15 is the call-out charge.
What percentage of the total cost is the call-out charge?. %
15. A book contains 55 black and white pages and 25 colour pages.
What percentage of the pages were in colour?. %
Section A2.4 - Addition and Subtraction of Fractions
16.
2
  +  
3
  =  
 
9
9
17.
5
  –  
3
  =  
 
11
11
18.
1
  +  
3
  =  
 
4
5
19.
1
  –  
1
  =  
 
3
4
20.
3
  +  
1
  –  
3
  =  
 
5
10
20
Section A2.5 - Multiplication and Division of Fractions
21.
2
  ×  
1
  =  
 
7
5
22.
1
1
  ×  
3
  –  
2
  =  
 
5
4
5
23.
2
  ÷  
4
  =  
 
3
9
24.
1
3
  ÷ 1
5
  =  
 
4
8
25.
2
1
  ÷  1
1
  –  
5
  =  
 
4
3
6
Section A2.6 - More Complex Percentages
You may use a calculator for the questions in this section
26. The cost of a printer is £250 plus VAT at 20%.
What is the VAT cost? £
27. You invest £60 in a building society account which pays interest of 4.5% per year.

(a) How much interest do you earn in the first year? £

(b) How much money do you have in your account at the end of the first year? £

28. A salary of £25100 per year is to be increased by 2.5%.
What is the new salary? £
29. The price of a TV set costing £p is reduced by 10% in a sale.
After a month, the sale price is increased by 10%.
Which of the following statements is correct?:

A : The price is now less than the original price.
B : The price is now the same as the original price.
C : The price is now more than the original price.
Section A2.7 - Percentage Increase and Decrease
You may use a calculator for the questions in this section
30. A baby weighed 8.4 kg at birth. A month later the baby's weight had increased by 1.3 kg.
What is the percentage increase, to 1 d.p.? %
31. The population of a small town increased from 1274 to 1323 in one year.
What is the percentage increase, to 1 d.p.? %
32. A car cost £2750 and was sold for £1900 one year later.
What was the percentage loss? Give your answer to 2 s.f. %
33. The average cost of a local telephone call dropped by 50p to £1.10.
What is the percentage reduction in the cost? %
34. The value of a motorcycle depreciates as shown in the table below.

Value
New
After 1 year
After 2 years
After 3 years
£3500
£2800
£2200
£1700

During which year is the percentage decrease the greatest?

Year 1
Year 2
Year 3

Section A2.8 - Compound Interest and Depreciation
You may use a calculator for the questions in this section
35. Jane invests £2500 in a bank account which pays compound interest at the rate of 4.5% per annum.
Giving you answers to the nearest £, write down the value of her investment after:

(a) One Year £

(b) Two Years £

(c) Five Years £

36. A second-hand car costs £4500 and depreciates at the rate of 15% per annum.
What is the value of the car after 5 years? Give your answer to 3 s.f. £
37. The population of a third world country is 37 million and is growing at a rate of 8% per annum.
In how many years' time will the population exceed 50 million? years
Section A2.9 - Reverse Percentage Problems
You may use a calculator for the questions in this section
38. The price of a TV system is £1560, including VAT at 18%.
What is the amount of VAT included, to the nearest £? £
39. A customer is offered a 20% discount when buying a new sofa.
The discounted price is £316.80.
What was the original price of the sofa? £
40. An investment account earns 5% compound interest each year.
The balance on the account now is £156.75.
In the following questions, give your answers to 2 d.p.
What was the balance on the account:

(a) One year ago? £

(b) Two years ago? £

(c) Ten years ago? £

Marking your audit and producing your report

Once you are happy you have completed the audit, click the button below to mark your audit.
You will not be able to mark the audit again once you have clicked this button.
Mark your answers.

Now you can click the button below to produce your report. This button can be used more than once.
Produce your report.

< Back to Unit Menu
Produced by Russell Geach for CIMT - November 2012