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NTS31 Questions
Mathematics MCQs
Practice Mathematics multiple-choice questions for NTS competitive exams. Each question includes the correct answer and a short explanation, and past-paper questions are marked so you can revise both repeated and fresh material in one place.
4
5
6
7
ExplanationSubtract 5 from both sides to get 3x = 15, then divide by 3 to get x = 5.
12
20
24
32
Explanation2^3 is 8 and 4^2 is 16. 8 + 16 = 24.
25 sq cm
50 sq cm
15 sq cm
30 sq cm
ExplanationThe area of a triangle is calculated as (1/2) * base * height. (1/2) * 10 * 5 = 25.
20
30
40
25
Explanation(15/100) * 200 = 30.
5
8
10
12
ExplanationSubtract 3x from both sides to get 2x - 7 = 13. Add 7 to both sides to get 2x = 20. Divide by 2 to get x = 10.
120 km
150 km
180 km
140 km
ExplanationDistance = Speed * Time. 2 hours 30 mins = 2.5 hours. 60 * 2.5 = 150.
20
22
18
24
Explanationsqrt(144) = 12, sqrt(64) = 8. 12 + 8 = 20.
30
35
40
45
ExplanationDiscount = 0.20 * 50 = 10. New price = 50 - 10 = 40.
20
40
60
80
ExplanationUsing BODMAS: 10 * (2)^2 = 10 * 4 = 40.
2
3
4
5
Explanation4^1=4, 4^2=16, 4^3=64.
1/4
1/3
3/10
3/12
ExplanationTotal marbles = 12. P(red) = 3/12 = 1/4.
6cm
8cm
9cm
12cm
ExplanationPerimeter = 4 * side. 36/4 = 9.
29
31
34
36
ExplanationLet x + y = 45 and x - y = 13. Adding the equations: 2x = 58, so x = 29.
66
72
78
84
ExplanationSum of integers from 1 to 12 = n(n+1)/2 = 12(13)/2 = 78.
7
1
-17
-7
Explanationf(-2) = 3(-2)^2 - 5 = 3(4) - 5 = 12 - 5 = 7.
100
110
90
120
ExplanationThe sum is given by n(n+1) where n=10. So 10 * 11 = 110.
3
5
7
4
Explanation2x + 6 = 5x - 9 => 15 = 3x => x = 5.
30
60
65
78
ExplanationThis is a right-angled triangle (5^2 + 12^2 = 13^2). Area = 0.5 * base * height = 0.5 * 5 * 12 = 30.
4
2
-2
-4
ExplanationRewrite as y = mx + c. -2y = -4x + 8 => y = 2x - 4. The slope is 2.
10
25
32
64
ExplanationBy definition of logarithms, log_b(a) = c means b^c = a. Thus, 2^5 = 32.
0.35
0.60
0.65
0.75
ExplanationThe sum of complementary probabilities is 1. P(not rain) = 1 - 0.35 = 0.65.
20
60
120
240
Explanation5! = 5 * 4 * 3 * 2 * 1 = 120.
15
20
25
30
ExplanationSum = a / (1 - r). Here a = 10, r = 0.5. Sum = 10 / (1 - 0.5) = 10 / 0.5 = 20.
48
50
52
55
ExplanationLet x be original price. 0.8x = 40 => x = 40 / 0.8 = 50.
2 and 6
3 and 4
-3 and -4
1 and 12
ExplanationFactoring (x-3)(x-4) = 0 gives roots x=3 and x=4.
2
5
8
5.6
ExplanationOrdered: 2, 3, 5, 8, 10. The middle value is 5.
5
6
9
10
Explanationg(2) = 2 + 1 = 3. f(3) = 3^2 = 9.
2x4
3x3
4x2
2x3
ExplanationWhen multiplying an m x n matrix by an n x p matrix, the resulting matrix has dimensions m x p.
e^(3x)
3e^(3x)
x*e^(3x)
e^x
ExplanationUsing the chain rule, the derivative of e^u is e^u * u'. Here, u = 3x, so u' = 3.
3
6
9
12
ExplanationThe integral of 2x is x^2. Evaluating x^2 from 0 to 3 gives 3^2 - 0^2 = 9.
4
5
8
20
ExplanationUsing the log rule log(a) + log(b) = log(a*b), we get log(2x) = log(10), so 2x = 10, x = 5.
Frequently Asked Questions
Are these Mathematics MCQs free?
Yes. Every Mathematics MCQ on this page is free to practice, including the correct answer and explanation.
Do these include past-paper questions?
Yes — questions sourced from past papers are clearly marked with a "Past Paper" badge, alongside fresh practice questions.
Which exams do these Mathematics MCQs help with?
They are aimed at NTS and related Pakistani competitive exams that test Mathematics.
How should I practice subject-wise MCQs?
Attempt each question first, then reveal the answer and read the explanation. Short, focused sessions on one subject work better than long unstructured reading.