# Ks3 Maths Diagnostic Test

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Unless you aim to pursue a career in mathematics and science, having a good base knowledge for numbers isn’t always going to be a huge deal for you. Regardless of your chosen paths in life, however, possessing the ability to perform simple and even somewhat challenging math problems will make you look more educated and ambitious in the eyes of employers and friends alike. Test your mathematics knowledge in this quiz!

• 1.

### Divide 4680 by 10

• A.

4860

• B.

46800

• C.

468

• D.

46.8

• E.

0.468

C. 468
Explanation
L4 question tests division by 10

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• 2.

### Four minus two point six is

one point four , 1.4
Explanation

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• 3.

### What is 4/ 25 as a percentage ?

• A.

20 %

• B.

30%

• C.

18%

• D.

16%

• E.

10%

D. 16%
Explanation
equivalent fraction and conversion top of L4

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• 4.
• A.

• B.

• C.

• D.

• E.

A. Length of spade is 1.0m
Explanation
understanding dimensions and adding decimals L4

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• 5.

### Find 1/3 of 99

• A.

66

• B.

32

• C.

36

• D.

12

• E.

33

E. 33
Explanation
L5 fractions of

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• 6.

### Work out -13 - (-7)

• A.

- 6

• B.

6

• C.

- 20

• D.

20

• E.

+20

A. - 6
Explanation
negative number operation L5

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• 7.

### Find a formula for the perimeter of the given shape

• A.

3xy

• B.

5xy

• C.

2x + 3y

• D.

3x + 2y

• E.

5(x +y)

C. 2x + 3y
Explanation
formulating algebra expression L5

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• 8.

### What is twice the value of 5 squared ?

• A.

15

• B.

20

• C.

50

• D.

1

• E.

100

C. 50
Explanation
L5 square numbers

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• 9.

### If a = 3 , b = 2 , find the value of

• A.

18

• B.

22

• C.

24

• D.

25

• E.

32

D. 25
Explanation
top of L5 substituition

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• 10.

### Describe the transformation that takes triangle P to Q

• A.

• B.

Rotation of 90 degrees about (1,1)

• C.

Rotation of 180 degrees about the origin

• D.

• E.

C. Rotation of 180 degrees about the origin
Explanation
2d rotation about a point L6

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• 11.

### Find the angle X from the figure shown?

• A.

35 degrees

• B.

55 degrees

• C.

Impossible to work out

• D.

90 - 35

• E.

145

E. 145
Explanation
supplementary angles L6

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• 12.

### Find the area of the following shape?

• A.

65 cm squared

• B.

75 cm squared

• C.

31 cm squared

• D.

Missing length impossible to work out

• E.

55 cm squared

A. 65 cm squared
Explanation
area of trapezium L6

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• 13.

### Find the capacity of the following tank. Length is 15m, width is 10m and its height is 4m

• A.

600 cm squared

• B.

600000 litres

• C.

600 litres

• D.

600 cm cubed

• E.

6000litres

B. 600000 litres
Explanation
capacity and conversion of units L7

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• 14.

### Estimate the proportion of Cats from the pie chart?

• A.

30

• B.

1/5

• C.

20%

• D.

0.4

• E.

34%

E. 34%
Explanation
estimating and proportion as a percentage L7

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• 15.

### A car travelling at 54km/h takes 20 minutes to travel from Brighton to Worthing. Find the distance between them?

• A.

18 km

• B.

27 km

• C.

20km

• D.

6km

• E.

54km

A. 18 km
Explanation
speed distance relationship L7

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• 16.

### Find the integer solutions of x for the following inequalities?3x - 5 > 7 and x < 12

• A.

-1, 0, 1, 2, 3, 4

• B.

1,2,3,4,5,6,7,8,9,10,11

• C.

4, 5, 6, 7, 8, 9, 10, 11, 12

• D.

5, 6, 7, 8, 9, 10, 11

• E.

x = 4

D. 5, 6, 7, 8, 9, 10, 11
Explanation
top of level 7, combining two inequalities

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