Jamb Cbt 2021 Mathematics Likely Questions and Answers

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21

Evaluate (212)3 – (121)3 + (222)3

A

(313)3

B

(1000)3

C

(1020)3

D

(1222)3

 

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2

Factorise (4a + 3) 2 – (3a – 2)2

A

(a + 1)(a + 5)

B

(a – 5)(7a – 1)

C

(a + 5)(7a + 1)

D

a(7a + 1)

 

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3

Find all median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119

A

131

B

125

C

123

D

120

 

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4

Find all real number x which satisfy the inequality 13 (x + 1) – 1 > 15(x + 4)

A

x < 11

B

x < -1

C

x > 6

D

x > 11

 

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5

Express each number in 0.02174×1.20470.023789 to two significant figures and then evaluate

A

0

B

0.9

C

1.1

D

1.2

 

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6

Four boys and ten girls can cut a field first in 5 hours. If the boys work at 54 the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?

A

180

B

60

C

25

D

20

 

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7

What is the circumference of latitude 0oS if R is the radius of the earth?

A

cos θ

B

2πR cos θ

C

R sin θ

D

2 π r sin θ

 

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8

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

A

1517

B

817

C

815

D

1217

 

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9

The goals scored by 40 football teams from three league  divisions are recorded below

No of goals 0 1 2 3 4 5 6
Frequency 4 3 15 16 1 0 1

What is the total number of goals scored by all the teams?

A

21

B

40

C

91

D

96

 

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10

In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12o. How many students are offering physics?

A

18

B

15

C

10

D

5

 

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If log102 = 0.3010 and log103 = 0.4771, evaluate log104.5 without using the logarithm tables.

A

0.3010

B

0.4771

C

0.6532

D

0.9542

 

Answer

 

12

Simplify 324−4x22x+18

A

2(x – 9)

B

2(9 + x)

C

81 – x2

D

-2(x – 9)

 

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13

In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represent meat in a pie chart?

A

30o

B

60o

C

112.5o

D

157.5o

 

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14

The angle of a sector of a circle radius 10.5 cm is 48o. Calculate the perimeter of the sector.

A

25.4cm

B

25.4cm

C

25.6cm

D

29.8cm

 

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15

What is the product of 275, (3)−3 and (15)−1?

A

5

B

3

C

1

D

125

 

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16

A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle?

A

512

B

13

C

34

D

712

 

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17

In this fiqure, PQ = PR = PS and SRT = 68o. Find QPS

A

136o

B

124o

C

112o

D

68o

 

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18

Find the gradient of the line passing through the points (-2, 0) and (0, 4)

A

2

B

-4

C

-2

D

4

 

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19

Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.

A

5x + 7y = 120

B

7x + 5y = 70

C

x + y = 7

D

15x + 17y = 90

 

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20

If N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x.

A

3

B

4

C

12

D

17

 

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