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Worksheets

Quantitative Reasoning

Total questions: 100

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

(10 5) S (6 3) = (4, 2)

(18 9) S (10 6) = (8, 3)

Find

(? ?) S (5 10) = (10,15)

a)

(15 25)

b)

(12 24)

c)

(5 10)

d)

(7 12)

2.

8 # 3 = 14

3 # 2 = 7

7 # 8 = 23

Find 5 # 4 = ?

a)

20

b)

13

c)

21

d)

40

3.

If the number 82526374 represents the word TELEGRAM.

What word does 63228 represent?

a)

AGREE

b)

GREET

c)

GREAT

d)

TREAT

e)

ALERT

4.

If the number 82526374 represents the word TELEGRAM.

What number represent the word RELATE ?

a)

325782

b)

352782

c)

375282

d)

625782

e)

643723

5.

In the sequence: AZ1, DY3, GX5, . . ., what comes next?

a)

IW7

b)

HX3

c)

JW7

d)

IY9

6.

In the sequence: AZ1, DY3, GX5, . . ., what comes next?

a)

IW7

b)

HX3

c)

JW7

d)

IY9

7.

In the sequence: 7, 3, 12, 6, 17, 9, . . . , what number comes next?

a)

11

b)

12

c)

19

d)

22

8.

If the number 82526374 represents the word TELEGRAM.

What word does 273 represent?

a)

EAT

b)

ARE

c)

EAR

d)

AGE

e)

ATE

9.
Find the missing numbers.
520, ____, 560, 580, ____
a)
540, 590
b)
540, 600
c)
525, 590
d)
510, 590
10.

If PALE is coded as 2134, EARTH is coded as 41590, how is PEARL coded in that code?

a)

29530

b)

24153

c)

25413

d)

25430

11.

If 4 * 5 = 25 and 7 * 3 = 24,

what is 8 * 6 ?

a)

60

b)

66

c)

45

d)

54

12.

If 4 * 5 = 25 and 7 * 3 = 24,

what is 8 * 6 ?

a)

60

b)

66

c)

45

d)

54

13.


If 4 * 5 = 25 and 7 * 3 = 24, what is y 
  if    y  * 6 = 72?

a)

12

b)

11

c)

10

d)

9

14.

If 3 . 4 = 15 and 5 . 6 = 35, what is x if

9 . x = 72 ?

a)

8

b)

7

c)

6

d)

5

15.

If 7 @ 8 = 14 and 9 @ 5 = 13 ,

what is 13 @ 8 ?

a)

21

b)

20

c)

22

d)

24

16.

If 7 @ 8 = 14 and 9 @ 5 = 13

what is y if y @ 13 = 60

a)

46

b)

47

c)

48

d)

49

17.

If 4---3 = 18 and 5---3 = 21,

find 14---5 .

a)

70

b)

80

c)

90

d)

100

18.

If 2+++6 = 10 and 3+++8 = 22,

find 22+++3 .

a)

66

b)

64

c)

62

d)

60

19.

If 4 ˸ = 16; 3 ˸ = 9 , 2 ● = 4, and 5 ● = 10;

find (12: ) ●

a)

144

b)

288

c)

24

d)

6

20.

If 4 ˸ = 16; 3 ˸ = 9 , 2 ● = 4, and 5 ● = 10;

find 8 ˸ + 9 ●

a)

82

b)

84

c)

80

d)

10

21.

If A * B = ( A × B ) + 2 and 4 * 3 = 14

find 4 * 4

a)

16

b)

14

c)

20

d)

18

22.

Look at the Venn diagram carefully to answer the following questions.


How many people speak both Yoruba and Igbo?

a)

12

b)

13

c)

8

d)

17

23.

How many people speak all three languages?

a)

5

b)

9

c)

12

d)

7

24.

How many people speak only Igbo?

a)

13

b)

11

c)

8

d)

14

25.

How many people speak only Yoruba?

a)

23

b)

11

c)

8

d)

9

26.

How many people speak only Hausa?

a)

8

b)

11

c)

12

d)

5

27.

How many people speak all three languages?

a)

7

b)

8

c)

9

d)

5

28.

Which language is spoken by many people?

a)

Yoruba

b)

Igbo

c)

Hausa

d)

Efik

29.

Subtract the number of people that speak Hausa from the number of people that speak Igbo

a)

8

b)

5

c)

12

d)

2

30.

How many people speak only two languages?

a)

7

b)

12

c)

28

d)

9

31.

How many people speak Igbo, Yoruba and Hausa separately?

a)

8

b)

38

c)

32

d)

7

32.

Complete the pattern

210, 220, 230, 240,----

a)

270

b)

320

c)

420

d)

250

33.

What number comes next?

115,120,125,130-----, ------

a)

137,140

b)

150,155

c)

135,140

d)

112,114

34.

Which one is not an even number?

a)

12

b)

13

c)

14

d)

10

35.

Which one of these ,is an odd number?

a)

10

b)

3

c)

8

d)

12

36.

2 x 3 is

a)

7

b)

8

c)

6

d)

5

37.

In the sequence: AZ1, DY3, GX5, . . ., what comes next?

a)

IW7

b)

HX3

c)

JW7

d)

IY9

38.

In the sequence: 7, 3, 12, 6, 17, 9, . . . , what number comes next?

a)

11

b)

12

c)

19

d)

22

39.

Examine (A), (B), and (C) and find the best answer:

(A) (3 x 9) +5

(B) 5 + (3 x 9)

(C) 3 x (9 + 5)

a)

(B) is equal to (A) and less than (C)

b)

(B) is equal to (C) which is greater than (A)

c)

(B) is greater than (A) which is greater than (C)

d)

(B) is greater than (C) which is greater than (A)

40.

Examine (A), (B), and (C) and find the best answer when x and y are positive:

(A) 7x + 5y

(B) 5(x-y)

(C) 7x + y

a)

(B) and (C) are equal

b)

(B) is greater than (C)

c)

(A) is more than (C)

d)

(C) is greater than (A)

41.

Examine (A), (B), and (C) and find the best answer:

(A) 1/3

(B) 34%

(C) 0.34

a)

(A), (B), and (C) are equal

b)

(B) is more than (A) and equal to (C)

c)

(C) is less than (A) or (B)

d)

(A) and (C) are greater than (B)

42.

Examine (A), (B), and (C) and find the best answer:

(A) 1/3

(B) 34%

(C) 0.34

a)

(A), (B), and (C) are equal

b)

(B) is more than (A) and equal to (C)

c)

(C) is less than (A) or (B)

d)

(A) and (C) are greater than (B)

43.

What number multiplied by 5 is 15 less than 35?

a)

5

b)

4

c)

7

d)

8

44.

What number subtracted from 37 makes 5 more than 10?

a)

22

b)

13

c)

15

d)

35

45.

What number is 1/3 of 7 times 6?

a)

42

b)

14

c)

11.25

d)

12

46.

53+16=\frac{5}{3}+\frac{1}{6}=  

a)

69\frac{6}{9}  

b)

518\frac{5}{18}  

c)

116\frac{11}{6}  

d)

13\frac{1}{3}  

47.

57×79\frac{5}{7}\times\frac{7}{9}  

a)

3570\frac{35}{70}  

b)

59\frac{5}{9}  

c)

3063\frac{30}{63}  

d)

95\frac{9}{5}  

48.
For a party, Colin bought eight 2-liter bottles of soda. About how many gallons of soda did Colin buy? (1 gallon ≈ 3.8 liters)
a)
4
b)
8
c)
30
d)
60
49.
Given that 1 yard is approximately 0.914 meter, 50 yards would be equivalent to approximately how many meters?
a)
45.7 meters
b)
49.09 meters
c)
50.91 meters
d)
54.7 meters
50.
How many yards are equal to 252 inches?
a)
21
b)
12
c)
9
d)
7
51.

If the number 82526374 represents the word TELEGRAM.

What word does 63228 represent?

a)

AGREE

b)

GREET

c)

GREAT

d)

TREAT

e)

ALERT

52.

If the number 82526374 represents the word TELEGRAM.

What number represent the word RELATE ?

a)

325782

b)

352782

c)

375282

d)

625782

e)

643723

53.
a)

A

b)

B

c)

C

d)

D

54.
a)

A

b)

B

c)

C

d)

D

55.
a)

A

b)

B

c)

C

d)

D

56.
a)

A

b)

B

c)

C

d)

D

57.
a)

A

b)

B

c)

C

d)

D

58.

A bolt of lightening is hotter than the sun

a)

True

b)

False

59.

Which country is the only country to occupy an entire continent?

a)

America

b)

Australia

c)

Germany

d)

Mexico

60.

Which animal can live up to 100 years old?

a)

Giraffe

b)

Turtle

c)

Elephant

d)

Kangaroo

61.

Which vegetable helps with eyesight?

a)

Carrot

b)

Broccoli

c)

Peas

d)

Squash

62.

36 months = what year?

a)

3

b)

4

c)

2

d)

1

63.

Write the number made with this set of numbers : 800, 90, 4000, 8

a)

8984

b)

4898

c)

9848

d)

8894

64.

I have 43, how much more should I add to make the next ten?

a)

3

b)

6

c)

8

d)

7

65.

Tick the unit used to measure the mass of an eight year old boy.

a)

g

b)

kg

c)

m

d)

km

66.

Which of these fractions shows one half?

a)

14\frac{1}{4}

b)

35\frac{3}{5}

c)

24\frac{2}{4}

67.

Tick the number which leaves a remainder of two when divided by ten.

a)

70

b)

71

c)

72

d)

73

68.

2! =2 * 1 =2

4! = 4 * 3 * 2 * 1 = 24

Find 3! + 5!

a)

126

b)

120

c)

15

d)

8

69.

2|4 = 8

10||2 =5

Find 3|4|5

a)

12

b)

20

c)

60

d)

17

70.

2|4 = 8

10 ||2 = 5

Find 60 || 4

a)

64

b)

240

c)

15

d)

56

71.

(8 3) T (4 2) = (12, 5)

(6 4) T (2 2) = (8, 6)

Find (7 4) T (3 2) = (? ?)

a)

(8 6)

b)

(10 6)

c)

(4 6)

d)

(5 2)

72.

(10 5) S (6 3) = (4, 2)

(18 9) S (10 6) = (8, 3)

Find (8 6) S (4 3) = (? ?)

a)

( 4 3)

b)

(3 4)

c)

(2 2)

d)

(2 1)

73.

8 # 3 = 14

3 # 2 = 7

7 # 8 = 23

Find ? # 5 = 21

a)

14

b)

9

c)

11

d)

8

74.

If the number 82526374 represents the word TELEGRAM.

What word does 63228 represent?

a)

AGREE

b)

GREET

c)

GREAT

d)

TREAT

e)

ALERT

75.
Which statement is NOT true?
a)
√169 = 13
b)
152 = 225
c)
42 = √16
d)
√164 = 18
76.
Which would be the next number in the pattern? 
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
77.

One day raj left home and walked 5 km northwards, turned right and walked for 10km and turned left and walked 5 km more and finally turned left and walked 10km. How many kilometres will he have to walk to reach his home straight?

a)

15 KM

b)

10 KM

c)

20 KM

d)

5 KM

78.

Which answer has the integers in order from least to greatest?

a)

− 9, -5, -3, 0, 4, 3

b)

− 9, -5, -3, 0, 3, 4

c)

− 5, -9, -3, 0, 4, 3

d)

3, 4, 0, -3, -5, -9

79.

Look at this series: 2, 1, (1/2), (1/4), … What number should come next?

a)

(1/3)

b)

(1/8)

c)

(2/8)

d)

(1/16)

80.

In the sequence: AZ1, DY3, GX5, . . ., what comes next?

a)

IW7

b)

HX3

c)

JW7

d)

IY9

81.



(a)  

82.



(a)  

83.



(a)  

84.



(a)  

85.



(a)  

86.



(a)  

87.



(a)  

88.



(a)  

89.



(a)  

90.



(a)  

91.



(a)  

92.



(a)  

93.



(a)  

94.



(a)  

95.



(a)  

96.



(a)  

97.



(a)  

98.



(a)  

99.



(a)  

100.



(a)