Cambridge Essentials Mathematics Core 8 N2 End-of-unit Test 2

/ N2 End-of-unit Test 2

1 a What is 50% of £120?

£……………

1 mark

b What is 75% of 80kg?

……………kg

1 mark

2 What percentage of these shapes are shaded?

……………% ……………%

2 marks

3 Shade 25% of this shape. Shade 62% of this shape.

2 marks

4 a Work out the missing values.

10% of 200=……………

5% of 200=……………

2% of 200=……………

2 marks

b The cost of a portable TV is £200 plus 17% VAT.

What is the total cost of the TV?

You can use part a to help.

£……………

2 marks

5 Look at this information:

Use the information to fill in the missing numbers.

= %

1 mark

= %

1 mark

= 30%

1 mark

6 a Write as a decimal.

……………

1 mark

b Write as a decimal.

……………

1 mark

c Write 15% as a fraction.

______

1 mark

d Write 35% as a decimal.

……………

1 mark

e Write as a percentage.

…………… %

1 mark

f Write 0.95 as a percentage.

…………… %

1 mark

7 There are 20 students in a class.

12 of them are girls.

a What percentage of the class are girls?

……………%

1 mark

b What percentage of the class are boys?

……………%

1 mark

8 In a quiz, Mark answers 32 out of the 40 questions correctly.

What percentage of the questions did he answer correctly?

……………%

1 mark

9 Write a number in each box to make the calculations correct.

a × 10 = 5.7

b 6.23 ÷ = 0.0623

c 0.04 ÷ 5 =

d 90 ×= 5.4

4 marks

10 A car tyre has a normal price of £120

The price is reduced by 15%

What is the reduced price of the tyre?

£……………

2 marks

You may use a calculator for questions 11 and 12.

11 Ben says, ‘To the nearest percent, is 14%.’

Sally says,‘To the nearest percent, will be 28%’

Is Sally right? Yes No

Explain your answer.

1 mark

12 Which is greater, 60% of 90 or 70% of 70?

60% of 90 70% of 70

Explain your answer.

1 mark

END OF ASSESSMENT

/ N2 End-of-unit Test 2 – Teacher Guidance

Units covered: N2.3, N2.4

Guide to Levels.

Level / Description
4 / Expressing decimals as fractions
Finding equivalent fractions (simple denominators)
Ordering common percentages
Knowing simple fraction and percentage equivalents
5 / Finding fraction and percentage equivalents
Finding percentages of shaded shapes
Calculating simple fractions and percentages of quantities
6 / Calculating fractions and percentages of quantities
Working out equivalencies between fractions, decimals and percentages
Writing one number as a fraction or percentage of another
7 / Calculating percentage increase and decrease

Answers

Question / Level / Mark / Answer / Notes
1a
b / 4
4 / 1
1 / £60
60kg / 1 mark
1 mark
2a
b / 4
5 / 1
1 / 40%
37.5% / 1 mark
1 mark
3a
b / 4
5 / 1
1 / 2/8 shaded
5/8 shaded / 1 mark
1 mark
4 a
b / 5
5 / 2
2 / 20
10
5
£235 / 2 marks for all 3 correct, or 1 mark for 2 correct
2 marks for £235, or 1 mark for 17½% as £35
5 / 6 / 1
1
1 / 20
20
24 / 1 mark
1 mark
1 mark
6 a
b
c
d
e
f / 6
6
6
6
6
6 / 1
1
1
1
1
1 / 0.625
0.28
15/100
0.35
17½%
95% / 1 mark
1 mark
1 mark 15/100 or 3/20 or equivalent
1 mark
1 mark
1 mark
7 a
b / 6
6 / 1
1 / 60%
40% / 1 mark
1 mark for 40 or (100− a)
8 / 6 / 1 / 80% / 1 mark
9 / 6
6
6
6 / 1
1
1
1 / 0.57
100
0.008
0.06 / 1 mark
1 mark
1 mark
1 mark
10 / 7 / 2 / £102 / 2 marks for £102 or 1 mark for complete method e.g. ×0.85 or equivalent
11 / 7 / 1 / Reason / 1 mark for No and reason (e.g. 28.57% to 29%)
12 / 7 / 1 / 60% and reason / 1 mark for 60% and reason (e.g. 54 > 49)

NB: Levels are approximate only.

Suggested guidance on overall level based on performance:

Level 4 / Level 5 / Level 6 / Level 7 / Total
4 marks / 7 marks / 18 marks / 23 marks / 30 marks

NB: Levels are approximate only.

Original material © Cambridge University Press 2009 / 1