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Numerical Test 6 (Combination – Percentages and Fractions, Series, Equations)

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This test brings together everything you have done so far, and asks you to apply it to more real world problems. The test that follows involves dealing with number series, percentages, fractions, decimals and equations. This test begins to introduce you to some numerical problem solving – it provides you with a range of possible answers from which you need to select the correct one. In some cases you can identify what the correct answer must be without having to do any actual calculation. Remember that fractions, decimals, algebra and percentages are all just the application of basic addition, subtraction, multiplication and division.

Because the answers in this type of test are sometimes given, you may not have to work out possible solutions from scratch. It is quite possible to simply insert one answer option after another (especially in the case of algebraic equations) until you find the correct one, or until you have exhausted them all without finding the correct one.

Type of test: Speed/Power

Typical length: 25–40 questions

Typical time allowed: 25–40 minutes

Used for: Intermediate/higher level

Frequency of use: Common

Answer the following questions, choosing the correct answer, if you think there is one, from the set of five response options below. You have 35 minutes.

1 Which number comes next in the following series?

1 4 7 10 13 16

a) 17

b) 19

c) 21

d) 25

e) none of these

2 What is p in this equation?

2 + 3p = 14

a) 2

b) 3

c) 4

d) 6

e) none of these

3 0.2 × 5 =

a) ½

b) 0.75

c) 1

d) 1½

e) none of these

4 ¼ × ½ =

a) 1⁄16

b) 1⁄8

c) 1

d) 2

e) none of these

5 15% of 200 =

a) 15

b) 30

c) 45

d) 60

e) none of these

6 Which number comes next in this series?

0 1 3 6 10 15

a) 19

b) 21

c) 26

d) 32

e) none of these

7 3x + 2y = 14

If x is 4 then what is y?

a) −6

b) 1

c) 7

d) 12

e) none of these

8 0.3⁄0.2 + 1.5 =

a) 1

b) 1.6

c) 2.5

d) 3

e) none of these

9 Which number replaces z in this equation?

3⁄4 - z⁄12 = ¼

a) 1

b) 2

c) 4

d) 6

e) none of these

10 50% of 200⁄100 =

a) 0

b) 1

c) 2

d) 50

e) none of these

11 Which number comes next in this series?

0 1 −1 2 −2 3

a) −4

b) −3

c) 4

d) 5

e) none of these

12 What is m?

m⁄4 = m − 6

a) −2

b) 2

c) 4

d) 8

e) none of these

13 What number replaces k in this equation?

(k × 0.4) + k = 2.8

a) 0.5

b) 1

c) 1.5

d) 2

e) none of these

14 4⁄9 X 3⁄6 =

a) 2⁄9

b) 6⁄1

c) 2⁄3

d) 1⁄9

e) none of these

15 20% of 0.1 =

a) 1

b) 0.2

c) 0.02

d) 1.2

e) none of these

16 Which number comes next in this series?

1 1 2 3 5 8

a) 10

b) 12

c) 13

d) 15

e) none of these

17 2y × 2y =

a) y

b) 2y

c) 2y2

d) 4y2

e) none of these

18 Which of the following is exactly divisible by 6.2?

a) 26.2

b) 43.4

c) 60.2

d) 160.2

e) none of these

19 1 = 1⁄9 + 16⁄?

a) 9

b) 16

c) 18

d) 32

e) none of these

20 8 = 20% of:

a) 20

b) 40

c) 16

d) 160

e) none of these

21 Which number comes next in this series?

0 1 2 5 20 25

a) 50

b) 75

c) 125

d) 150

e) none of these

22 If x = z and z = 3 then:

x⁄z + X =

a) 2

b) 3

c) 4

d) 6

e) none of these

23 2.1 × 2.1 − 0.75 =

a) 1.21

b) 2.42

c) 3.66

d) 3.25

e) none of these

24 ¼ + ½ × 3⁄4 =

a) 3⁄8

b) 9⁄16

c) 12⁄6

d) ¼

e) none of these

25 10% of 40% of 200 =

a) 8

b) 20

c) 40

d) 80

e) none of these

26 Which number comes next in this series?

1 1 0 −1 −1 −2

a) −3

b) −4

c) −5

d) 2

e) none of these

27 6p + 4q = 2q + 2p is the same as:

a) 2qp + 2 = 4

b) 4p + 2 q = 0

c) 2qp + 2p = 4q

d) 4q + 2p = 0

e) none of these

28 Which number replaces t in this equation?

1.2⁄t = 1.2 + 3.64 − 4.84

a) 0.21

b) 0

c) 2.2

d) 2

e) none of these

29 3⁄5 of 3⁄8 is:

a) 3⁄15

b) 6⁄15

c) 9⁄8

d) 9⁄40

e) none of these

30 60% of 340 is greater than:

a) 190

b) 220

c) 240

d) 260

e) none of these

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