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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