The Complete Book of Intelligence Tests : 500 exercises to improve, upgrade and enhance your mind strength (7 page)

The following is a mental arithmetic speed test of 30 questions,

which gradually increase in difficulty as the test progresses. You should

work quickly and calmly and try to think at all times of the quickest and

most efficient way of tackling the questions.

You have 45 minutes in which to solve the 30 questions.

The use of a calculator is not permitted in this test and only the

answer should be committed to paper, the object of the test being that

all the working out is done in your head.

1 What is 9 multiplied by 8?

2 What is 126 divided by 3?

3 What is 15 multiplied by 11?

4 What is 45% of 300?

5 Multiply 7 by 12 and divide by 6.

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6 Divide 56 by 8 and add 17.

7 What is 35% of 250?

8 What is 5 of 240?

8

9 Multiply 15 by 6 and subtract 29.

10 What is 3 of 92 plus 13?

4

11 Multiply 7 by 4 by 6.

12 Divide 52 by 4 and add 17 multiplied by 3.

13 What is 3206 divided by 7?

14 Add 32 þ 8 þ 18 þ 25.

15 What is 55% of 320?

16 What is 5 of 270?

9

17 Which is greater, 5 of 112 or 7 of 88?

8

8

18 Add 5683 to 1729 and divide by 2.

19 Divide 672 by 12.

20 Subtract 369 from 1250.

21 Add 2 of 90 to 5 of 78.

5

6

22 Multiply 72 by 15.

23 What is 8 expressed as a decimal?

40

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24 Deduct 865 from 1063.

25 Multiply 694 by 11.

26 Multiply 86 by 9 and add to 13 multiplied by 6.

27 What is 1000 less 5 of 117?

9

28 What is 5.9 þ 6.8 þ 7.34?

29 Deduct 7.3 from 34.2.

30 Multiply 6.85 by 7.

Test 2.13

Working with numbers

This test is a battery of 20 questions designed to measure your ability

to work with numbers and think numerically.

A time limit of 90 minutes is allowed.

The use of calculators is not permitted in this test; however,

written calculations are permitted.

1 How many minutes is it before 12 noon if 68 minutes ago it was

three times as many minutes past 10 a.m.?

2 Jack is three times as old as Jill, but in three years time he will

only be twice as old. How old are Jack and Jill?

3 Mal is one-and-a-half times as old as Sal, and Sal is one-and-a-half

times as old as Al. How old are Al, Sal and Mal if their combined

ages total 114?

4 If Alice gives Susan »6.00 the money they each have is in the

ratio 2 : 1; however, if Susan gives Alice »1.00 the ratio is 1 : 3.

How much money have Alice and Susan each before they

exchange any money?

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5 Bill and Ben share flower pots in the ratio of 3 : 5. If Bill has 180

flower pots, how many has Ben?

6 Tom, Dick and Harry wish to share out a certain sum of money

between them. Tom gets two-fifths, Dick gets 0.45 and Harry

gets »21.00. How much is the original sum of money?

7

How long are the sides of a rectangle which has a perimeter of 70

units and an area of 276 square units?

8 The call centre received its highest number of enquiries between

3 p.m. and 4 p.m., which was 40% more than the 250 enquiries it

received between 2 p.m. and 3 p.m. How many calls did the call

centre receive between 3 p.m. and 4 p.m.?

9 If A = 3, B = 4, C = 6 and D = 7, calculate the following:

(C Â D) À (B Â C)

(A þ C)

10 During the first week of a sale a suit originally costing »280.00

was reduced by 15%. At the beginning of the second week it was

reduced by a further 10%. What was the final sale price?

11 If my taxi journey takes 23 minutes and my train journey takes 49

minutes longer, what is my total travelling time in hours and

minutes?

12 In 7 years’ time the combined age of my sister and her three

children will be 92. What will it be in 4 years’ time?

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13 In a survey on the High Street on a Saturday afternoon, 5 of

16

women questioned had bought just cosmetics, 5 had bought just

8

clothing, while 115 women had just browsed and bought

nothing. How many women had just bought cosmetics and how

many had just bought clothing?

14 The average of three numbers is 19. The average of two of these

numbers is 24. What is the third number?

15 Tins of carrots cost 4 pence (»0.04) more if bought individually

than if bought in packs of 12. If a pack of 12 costs »5.76, what is

the cost of seven tins bought individually?

16 A batsman is out for 26 runs, which raises his batting average for

the season from 15 to 16. How many runs would he have had to

have scored to raise his average to 20?

17 A greengrocer ordered 4500 items of fruit consisting of apples,

oranges and plums in the ratio of 2 : 3 : 4, respectively. How many

of each item did he order?

18 If I drive 210 miles, how long will the journey take if I drive at an

average speed of 20 m.p.h. for 120 miles and an average speed of

30 m.p.h. for 90 miles, and have a 60 minute stop for

refreshments mid-way through the journey?

19 If five men can build a house in 21 days, how long will it take

seven men to build the house, assuming all men work at the same

rate?

20 At a recent small town election for mayor, a total of 972 votes

were cast for the four candidates, the winner exceeding his

opponents by 52, 78 and 102 votes, respectively. How many votes

were cast for each candidate?

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Test 2.14

Advanced numerical aptitude test

This test brings together a variety of different types of questions

designed to test your powers of calculation and computation and logical

reasoning.

A time limit of 60 minutes is allowed for completion of the 15

questions.

The use of a calculator is permitted in this test in respect of

questions 6, 7, 9, 11, 13 and 14 only, but written notes are permitted

throughout.

1

3

4

5

11

9

7

16

13

7

10

5

6

9

21

17

11

?

21

13

16

What number should replace the question mark?

2 A statue is being carved by a sculptor. The original piece of

marble weighs 250 kg. In the first week 35% is cut away, in the

second week 20% of the remainder is cut away and in the third

week 25% is chiselled away and polished to produce the finished

statue. What is the weight of the final statue?

3 10, 11, 9, 12, 8, 13, 7, 14, ?, ?

What are the next two numbers in the above sequence?

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4 783 : 59

395 : 32

579 : 44

666 : ?

5 Three coins are tossed in the air at the same time. What are the

chances that at least two of the coins will fall tails up?

6 A train travelling at a speed of 75 m.p.h. enters a tunnel that is

2.5 miles long. The length of the train is 0.25 miles. How long

does it take for all of the train to pass through the tunnel, from

the moment the front enters to the moment the rear emerges?

7

13

17

6

10

8

3

19

6

23

?

15

5

What number should replace the question mark?

8 10, 11, 14, 23, ?, 131

What number should replace the question mark?

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9

8

3

14

18

7

784

9

486

9

?

5

540

What number should replace the question mark?

10

7

8

4

19

3

14

5

22

2

7

?

27

12 29 27

?

What two numbers should replace the question marks?

11 I have collected 91 apples, which I wish to put into bags for

handing out to some of my neighbours. All bags must contain

the same number of apples and I wish to use as few bags as

possible. How many neighbours received a bag of apples and how

many apples did each bag contain?

12 I completed a journey by bus, rail and taxi. If the train fare cost

»27.35, the taxi fare cost »15.90 less than the train fare and the

bus fare cost »9.55 less than the taxi fare, how much did the total

journey cost me?

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13

?

64

27

125

216

What number should replace the question mark?

14 I have three rolls of turf, each measuring 20 metres long by 4

metres wide, with which I intend to cover two rectangular areas

of ground, one of which is 6 metres by 18 metres and the other

15.5 metres by 5.5 metres. How many square metres of turf will I

have left over?

15 Out of 144 guests at a conference, a quarter took their coffee with

sugar only, 5 took it with both milk and sugar, one out of every

8

16 guests took it with milk only and the rest took it black with

neither milk nor sugar. How many guests took it black with

neither milk nor sugar?

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The Complete Book of Intelligence Tests

Section III ^ Technical aptitude

With the explosion of information technology, technical aptitude testing

is becoming increasingly more important, as people with a higher

scientific and technical aptitude have the potential to master technology

much more effectively than someone with a lower technical aptitude.

Employing job candidates who have displayed a high level of technical

aptitude in technology-oriented jobs is, therefore, considerably more

cost-effective, in terms of both training and efficiency of performance,

in carrying out the job at the desired level.

As new technology continues to emerge and develop, it is

important to employers that they have the means at their disposal to

identify candidates who are able to learn these new technologies quickly

and are able to apply these skills in order to solve complex problems in

their jobs.

Test 2.15

Technical aptitude test

The following test consists of 15 questions that are designed to test

your general scientific knowledge, technical aptitude and powers of

mechanical reasoning and logic.

A time limit of 40 minutes is allowed.

The use of calculators is permitted in this test.

1

What percentage of the visible figure is shaded?

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2

What is the value of the internal angle of an octagon?

3 Brass is an alloy made from two metals, __________________ and __________________ .

Which two metals are missing?

a) copper and iron

b) copper and tin

c) iron and tin

d) nickel and tin

e) iron and nickel

f)

zinc and copper

g) iron and zinc

4

A nut is so tight on a screwed bolt you are having great difficulty

unscrewing it. Which of the following is the most effective in

freeing it?

a) cooling it

b) submerging it in warm water

c) heating it

d) none of the above

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5

What is the name of the above figure?

a) icosahedron

b) rhombus

c) ellipsoid

d) parallelepiped

e) rhomboid

6

3.5

0.75

1.75

0.75

1

2

0.75

(not to scale)

What is the area in square units of the figure above?

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7

G

H

A

B

C

F

D

E

AB = _________________ ; CD = __________________ ; EF = __________________ ; GH = __________________ .

Given that point C is the centre of the circle, insert the names of

the lines from the choice given below. One of the choices is not

used:

secant, chord, radius, tangent, diameter

8 __________________ is when heat travels from the warmed end of an object

towards the cool end. _ ________________ is when heat travels through space.

__________________ is when heat from a hotplate is transferred to water in a pan placed on the hotplate.