SSS Two Mathematics Objective Exam Questions

Mathematics objective question for SSS 2

1. Find the range of values of 𝑥 for which 5𝑥 − 4 > 11.
A. 𝑥 > 3
B. 𝑥 < 3
C. 𝑥 < 5
D. 𝑥 < 1
2. If 𝑥 is an integer, find the three lowest possible values of 𝑥 in 2𝑥 − 1 > 5
A. 3, 4, 5
B. 4, 5, 6
C. 1, 2, 3
D. 3, 2, 1
3. The statement there are less than 30 people on a bus’ can be represented mathematically as
A. 𝑥 < 3
B. 𝑥 > 30
C. 𝑥 ≤ 30
D. 𝑥 ≥ 30
4. Solve for 𝑥 if 3 − 𝑥 < 1
A. 𝑥 < −2
B. 𝑥 < 4
C. 𝑥 > 2
C. 𝑥 > −4
5. Simplify $\frac{8x^{2}z}{10xyz}$
A. $\frac{4xyz}{5}$
B. $\frac{4z}{5}$
C. $\frac{4x}{5y}$
D. $\frac{4yz}{5}$
6. Simplify $\frac{18ab}{15bc}\times \frac{20cd}{24de}$
A. $\frac{a}{e}$
B. $\frac{3a}{5b}$
C. 1
D. $\frac{4abcd}{2ac}$
7. For what value of 𝑥 is the expression $\frac{2x+1}{3x-12}$ not defined?
A. 3
B. 4
C. 12
D. 2
8. Solve for 𝑎 if $\frac{3}{a}=a-2$
A. −1, 2
B. 5, 6
C. 3, −1
D. 2, 3
9. Simplify $\frac{h^2-k^2}{{\left(h-k\right)}^2}$
A. $\frac{h+k}{h-k}$
B. $\frac{h-k}{h+k}$
C. ℎ + 𝑘
D. ℎ − 𝑘
10. If $\frac{x}{y}=\frac{3}{4}$, evaluate $\frac{2x-y}{2x+y}$
A. 3/4
B. 1/55
C. 10
D. 12
Use the below stated information to answer question 11 and 12
Given that 𝑝 and 𝑞 are statements such that;
p: He is healthy
q: He is neat
11.Which of the following represents the statement ‘he is unhealthy only if he is neat’
A. ~𝑝 → ~𝑞
B. ~𝑝 → 𝑞
C. 𝑝 → ~𝑝
D. ~𝑞 → ~𝑝
12.Which of the following represents ‘he is not neat only if he is unhealthy’
A. ~𝑞 → ~𝑝
B. 𝑞 → 𝑝
C. ~𝑝 → ~𝑞
D. ~𝑞 → 𝑝
13.If 𝑝 is the statement 3 + 4 = 8 then negation 𝑝 written as ~p is the statement
A. 3 + 4 = 7
B. 3 + 4 ≠ 8
C. 3 + 4 = 8
D. 𝑎 𝑎𝑛𝑑 𝑏
14.If 𝑝 → 𝑞, then the converse statement of 𝑝 → 𝑞 is
A. 𝑝 → ~𝑞
B. ~𝑝 → 𝑞
C. ~𝑞 → ~𝑝
D. 𝑞 → 𝑝
15.A chord of length 24cm is 13cm from the centre of the circle. Calculate the radius of the circle
A. 17.69𝑐𝑚
B. 15𝑐𝑚
C. 7𝑐𝑚
D. 12.57𝑐𝑚
16.Find the value of 𝑥 in the figure below (O is the centre of the circle)

A. 49°
B. 82°
C. 108°
D. 98°

17.Find the value of y in the figure below (O is the centre of the circle)

A. 180°
B. 45°
C. 90°
D. 60°
18.For what value of 𝑥 is the expression $\frac{x^2+3x+2}{x+4}$ equals to zero?
A. 2, 3
B. −1, −2
C. 3, −4
D. 3 − 5
19.Solve for 𝑥 and 𝑦, 2𝑥 + 5𝑦 = 1, 3𝑥 − 2𝑦 = 30
A. 𝑥 = 8, 𝑦 = −3
B. 𝑥 = 2, 𝑦 = 5
C. 𝑥 = 4, 𝑦 = 2
D. 𝑥 = 6, 𝑦 = 2
20.What is the range of value of 𝑥 represented by the number line?

A. −4 < 𝑥 < 5
B. −4 ≤ 𝑥 ≤ 5
C. 5 > 𝑥 < −4
D. −4 > 𝑥 > 5
21. Find the range of value of 𝑥 for which 2 − 𝑥 < 8 < 9 − 𝑥
A. −6 < 𝑥 < 1
B. 67 < 𝑥 < 2
D. 2 < 𝑥 < 4
C. 2 < 𝑥 < 9
22. Which equation represents the graph of inequality below,

A. 𝑦 < 4
B. 𝑥 < 4
C. 𝑥 + 𝑦 ≤ 4
D. 𝑥 − 𝑦 < 4
23. What is the length of a chord of a circle of radius 26cm if the chord is 10cm from the centre of the circle.
A. 24cm
B. 48cm
C. 12 cm
D. 7cm.
24. If 𝑃, 𝑞 and 𝑟 are logical statements such that if 𝑝 → 𝑞 and 𝑞 → 𝑟 then 𝑝 → 𝑟 this I called
A. chain rule
B. logical reasoning
C. conditional statement
D. equivalent statement
25.The Venn diagram below represents…

A. 𝐷 𝑉 𝐺
B. 𝐷 ∧ 𝐺
C. 𝐷 → 𝐺
D. 𝐷 𝜀 G
26.Simplify $\frac{4}{x}-\frac{6}{x+2}$
A. $\frac{8-2x}{x^2+2x}$
B. $\frac{5x-6}{2x+4}$
C. $\frac{2x-5}{x^2+2x}$
D. $\frac{6x+8}{5x}$
27. Let 𝑝:I Study hard, 𝑞:I pass mathematics. Translate ~𝑝 → ~𝑞 into a statement.
A. if I study hard, then I will pass mathematics
B. if I pass mathematics, then I study hard
C. if I don’t study hard, then I will fail mathematics
D. if I fail mathematics then, I won’t study hard
28. Solve the inequality 3𝑥 − 5 ≥ 20 − 2𝑥
A. 𝑥 > 4
B. 𝑥 ≥ 4
C. 𝑥 ≥ 5
D. 𝑥 ≤ 6
29.Simplify $\frac{m^2-9}{m^2-m-6}\times \frac{m^2+2m}{m^2}$
A. $\frac{m+1}{m+3}$
B. $\frac{m+3}{m}$
C. $\frac{m+2}{m\left(m-1\right)}$
D. $\frac{m^2+9}{m^2}$
30. $\frac{x^2+x-1}{2x^2+x-1}$ when 𝑥 = 1
A. 2
B. −1
C. 1/2
D. 1
31. What is the arithmetic mean of 8, 5, 7, 2, and 3?
A. 7
B. 8
C. 5
D. 6.5
32.The bearing of 320° is equivalent to ………
A. N40W
B. S50E
C. N10W
D. N54E
33.Given that Cos𝜃 = 0.2874. What is the value of 𝜃 lying between 0° to 360°
A. 73.3° and 286.7°
B. 73.3° and 324.5°
C. 23.4° and 82.5°
D. 33.4° and 73. 4°
34.Sin 118° is equivalent to
A. Sin (-42°)
B. Sin 345°
C. Sin 62°
D. Sin 240°
35.What is the range of the data? 10, 30, 25, 40, 50.
A. 40
B. 41
C. 42
D. 30
36.Find the mean deviation of 20, 30, 25, 40 35, 50, 45, 40, 20, and 45
A. 8
B. 9
C. 10
D. 12
37.The mean of 1, 𝑥, 5, 7, and 3 𝑖𝑠 4. Find the value of 𝑥
A. 2
B. 4
C. 6
D. 8
38.Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2.
A. 0.0
B. 0.5
C. 1.0
D. 1.5
39.

From the diagram above, find the value of 𝑥.
A. 20𝑐𝑚
B. √304𝑐𝑚
C. √108𝑐𝑚
D. 10cm
40.From the top of a building 10𝑚 high, the angle of depression of a stone lying on the horizontal ground is 69°. Calculate the distance of the stone from the foot of the building.
A. 3.6𝑚
B. 3.8𝑚
C. 8.0𝑚
D. 9.3m
41.The table below shows the frequency distribution of the number of chairs in each 40 rooms of various houses.

Number of chairs	1	2	3	4	5	6	7
Frequency	2	7	5	4	9	7	6

the table above to answer Questions 42 – 44.
42. Find the mean of the distribution
A. 3.5
B. 4.0
C. 4.4
D. 5.0
43. Find the mode of the distribution
A. 4
B. 9
C. 5
D. 7
44. Find the median of the distribution
A. 2
B. 3
C. 4
D. 5
45. Express the true bearing of 250° as a compass bearing
A. N20°E
B. S20°E
C. N20°W
D. S70°W
46.A bag contains 4 red, 5 white and 8 blue identical balls. What is the probability of picking a blue ball?
A. $\frac{4}{17}$
B. $\frac{5}{17}$
C. $\frac{84}{17}$
D. $\frac{17}{5}$
47.Express $\frac{4}{5}$ as a percentage
A. 30%
B. 60%
C. 80%
D. 50%
48.There are m girls and 12 boys in a class, what is the probability of selecting at random a boy from the class?
A. $\frac{\mathrm{m}}{12}$

B. $\frac{12}{\mathrm{m}}$

C. $\frac{12}{12+m}$

D. $\frac{m}{m+12}$
49.Find the mean deviation of 6, 7, 8, 9, 10
A. 1.2
B. 1.5
C. 2
D. 8
50. express 302.10495 correct to five significant figures
A. 302.10
B. 302.11
C. 302.105
D. 302.1049
51.The Probability that Kebba, Ebou and Omar will hit the target are $\frac{2}{3}, \frac{3}{4}, \frac{4}{5}$ respectively. Find the probability that only Kebba will hit the target.
A. $\frac{2}{5}$

B. $\frac{7}{3}$

C. $\frac{1}{30}$

D. $\frac{1}{60}$

The table below shows the marks scored by several pupils in a mathematics test.
Use the information to answer questions 52 - 54

Marks	30	40	50	60	80
Number of Pupils	11	8	4	5	2

52.How many pupils are there?
A. 20
B. 30
C. 40
D. 50
53.What is the probability that a pupil chosen at random from the class scored 60%
A. $\frac{1}{6}$

B. $\frac{11}{30}$

C. $\frac{3}{40}$

D. $\frac{7}{20}$
54. What is the probability that a pupil chosen at random from the class will pass the test if the pass mark is 50%
A. $\frac{4}{30}$

B. $\frac{11}{30}$

C. $\frac{4}{20}$

D. $\frac{11}{20}$
55. The bearing of point X from point Y is 074°. What is the bearing of Y from X?
A. 106°
B. 148°
C. 164°
D. 254°
56. Express 0.0462 in standard form.
A. 0.462 × 10^-1
B. 0.462 × 10^-2
C. 4.62 × 10^-1
D. 4.62 × 10^-2
57. Town A is 4𝑘𝑚 due north of Town B and Town C is 3𝑘𝑚 due east of Town A. What is the distance between Town B and Town C
A. 7𝑘𝑚
B. 8𝑘𝑚
C. 5𝑘𝑚
D. 4𝑘𝑚
58.A fair die is rolled once, What is the probability of obtaining a number less than 3?
A. $\frac{1}{6}$
B. $\frac{1}{3}$
C. $\frac{2}{3}$
D. $\frac{1}{2}$
59.A ladder 6𝑚 long leans against a vertical wall so that it makes an angle of 60° with the wall. Calculate the distance of the foot of the ladder from the wall.
A. 3𝑚
B. 6𝑚
C. 3.46𝑚
D. 5.20𝑚
60.

What is the value of 𝑦 in the figure above?
A. 4√3
B. 5√3
C. 6√2
D. 5√5
61. Express 0.00045 in standard form.
A. 45 × 10^-5
B. 45000
C. 4.5 × 10^-4
D. 4.5 × 10⁴
62. What is the logarithm of 0.00325?
A. 3̅. 5079
B. 4.3521
C. 3̅. 4371
D. 0.3245
63. Correct 457.43 to the two significant figures.
A. 457.43
B. 457
C. 460
D. 500
64. $Find the n_{th} term the sequence 3,5,9,....$
A. $U_n$ = 2𝑛 + 1
B. $U_n$ = 𝑛 + 1
C. $U_n$ = 2𝑛 − 1
D. $U_n$ = 3𝑛 + 1
65. What is the fifth term of the sequence whose 𝑛 $U_n=\frac{n+1}{n-1}$
A. $\frac{2}{3}$

B. $1\frac{1}{4}$

C. $1\frac{1}{2}$

D. $\frac{1}{4}$
66. The first term of a GP is 2 and the common ratio is 4.What is the 4𝑡ℎ term of the sequence?
A. 128
B. 64
C. 100
D. 452
67. What are the roots of the quadratic equation, 𝑥² + 8𝑥 + 16
A. −4 twice
B. 2 and 4
C. 4 twice
D. 3 and 2
68. Find the quadratic equation whose roots are -3 and 2.
A. 𝑥² − 3𝑥 + 2 = 0
B. 𝑥² + 4𝑥 + 5 = 0
C. 𝑥² + 𝑥 − 6 = 0
D. 𝑥² − 𝑥 + 1 = 0
69. For what value of k is the quadratic equation 𝑥² + 5𝑥 + 𝑘 a perfect square?
A. 4
B. 24/4
C. 18
D. 12/5
70. What is the gradient of a straight line passing through the points 𝐴(8,4) and 𝐵(10,10)
A. 4
B. 6
C. 10
D. 3
71. Correct 0.04945 to two significant figures.
A. 0.040
B. 0.049
C. 0.050
D. 0.49
72. Evaluate log₁₀ 6 + log₁₀ 45 − log₁₀ 27
A. 1
B. 4
C. 8
D. 10
73. If log 𝑥 = 2̅. 3675 and log 𝑦 = 0.9750 what is the value of 𝑥 + 𝑦. Correct to three significant figures
A. 1.18
B. 1.31
C. 9.03
D. 9.46
74. Find the sum of the first five terms of the GP 2, 6, 18,…
A. 484
B. 243
C. 242
D. 130
75. Simplify $\frac{\log \sqrt{8}}{\log 8}$
A. $\frac{1}{3}$

B. $\frac{1}{2}$

C. $\frac{1}{2}\log \sqrt{2}$

D. $\frac{1}{3}\sqrt{8}$
76. The population of a State is 5846. Express this number to the nearest hundred
A. 5800
B. 6000
C. 5850
D. 5900
77. Which of the following equations has its root as 4 and -5
A. 𝑥² + 4𝑥 + 10 = 0
B. 𝑥² + 𝑥 − 20 = 0
C. 𝑥² + 𝑥 + 20 = 0
D. 𝑥² − 𝑥 − 20 = 0
78. Find 𝑥 if log₂ 2𝑥 + log₂ 8 = 5
A. 2
B. 4
C. 8
D. 16
79. The actual length of a table is 8.40cm. A boy measured it to be 7.64cm. What is the percentage error in the measurement?
A. 9.0%
B. -9.0%
C. -8.6%
D. 8.6%
Use the graph below to answer question 80, 81 and 82

80. What are the roots of the equation?
A. 2 and -3
B. -1 and 3
C. 4 and 4
D. 3 and 2
81. What is the minimum value of y?
A. -2
B. -3
C. -4
D. 3
82. Which equation satisfies the curve
A. 𝑦 = 𝑥² − 𝑥 − 6
B. 𝑦 = 𝑥² − 2𝑥 + 3
C. 𝑦 = 𝑥² − 2𝑥 - 3
D. 𝑦 = 𝑥² + 8𝑥 − 4
83. Find the gradient of a straight line whose equation is 5𝑥 + 2𝑦 − 3 = 0
A. 5
B. −5/2
C. 5/3
D. −3/2 >
84. Find the equation of the straight line passing through the pair of points (2, 4) and (5, 6)
A. 3𝑦 = 2𝑥 + 8
B. 2𝑥 + 2𝑦 = 5
C. 𝑥 + 4𝑦 = 10
D. 𝑥 + 𝑦 = 4
85. Correct 45.8472 to two decimal places
A. 45.00
B. 45.85
C. 45.80
D. 40.00
86. The first term of an AP is 3, if the common difference is 2, find the 10th term.
A. 21
B. 30
C. 45
D. 34
87. What is the 𝑛𝑡ℎ term of the GP 6, 18, 54, 162,…
A. 2 × 4^𝑛
B. 5 × 3^𝑛
C. 2 × 3^𝑛
D. 2 × 3^𝑛-1
88. Factorize the quadratic expression 𝑥²2 + 4𝑥 + 4
A. (𝑥 + 2)(𝑥 + 2)
B. (𝑥 + 3)(𝑥 + 2)
C. (𝑥 + 1)(𝑥 + 3)
D. (𝑥 + 2)(𝑥 − 3)
89. What must be added to 𝑏² + 4𝑏 to make a perfect square
A. 4
B. 8
C. 16
D. 3
90. For what value of x and y is the simultaneous equation 𝑥 + 𝑦 = 12 and 𝑥 − 𝑦 = 6 satisfied?
A. 𝑥 = 8, 𝑦 = 3
B. 𝑥 = 10, 𝑦 = 2
C. 𝑥 = 20, 𝑦 = −8
D. 𝑥 = 14, 𝑦 = −2