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National Excellence Institute26 Questions

Mathematics MCQs

Practice Mathematics multiple-choice questions for National Excellence Institute 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.

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$30
$40
$45
$42
Explanation20% of $50 is $10. Subtracting $10 from $50 results in $40.
4
5
6
7
ExplanationSubtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.
60 cm²
72 cm²
156 cm²
169 cm²
ExplanationUsing Pythagorean theorem, the width is sqrt(13^2 - 12^2) = sqrt(169 - 144) = 5. Area = 12 * 5 = 60.
8
16
32
64
ExplanationExponents rule: 2^(5+3-4) = 2^4 = 16.
10 days
12 days
15 days
18 days
ExplanationTotal man-days = 15 * 20 = 300. Days for 25 workers = 300 / 25 = 12.
1/6
1/12
7/36
1/2
ExplanationPossible combinations for 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Total 6/36 = 1/6.
$960
$1000
$1040
$1200
ExplanationLet original be x. 0.8x = 800, so x = 1000.
7
8
9
10
Explanationlog2(32) = 5 and log3(81) = 4. 5 + 4 = 9.
90
100
110
121
ExplanationThe sum of the first n odd integers is n^2. 10^2 = 100.
18
20
22
25
ExplanationTotal sum = 5 * 20 = 100. New sum = 90. New average = 90/4 = 22.5.
-0.5
0.5
-2
2
ExplanationConvert to y = mx + c. 4y = -2x + 8 => y = -0.5x + 2.
3
6
9
81
Explanation(x-3)(x+3) = 0, so x can be 3 or -3.
70 km/h
75 km/h
80 km/h
85 km/h
ExplanationTotal distance = (60*2) + (90*1) = 210 km. Total time = 3 hours. 210 / 3 = 70.
$96
$100
$104
$144
ExplanationCost price + 20% of Cost price = 120. Thus, 1.2 * CP = 120, so CP = 100.
11
15
19
3
ExplanationExpanding the equation: 3x - 12 = 2x + 7. Subtracting 2x from both sides gives x - 12 = 7. Adding 12 to both sides gives x = 19.
120 km
140 km
150 km
180 km
ExplanationDistance is calculated as speed multiplied by time. 60 * 2.5 = 150.
45
57
67
77
Explanation2^5 = 32 and 5^2 = 25. 32 + 25 = 57.
2
4
8
16
ExplanationThe formula for the area of a circle is πr². If πr² = 16π, then r² = 16, so r = 4.
x - 3
x + 3
x + 9
x - 9
Explanationx^2 - 9 is a difference of squares: (x - 3)(x + 3). Dividing by (x - 3) leaves (x + 3).
$96
$100
$104
$110
ExplanationIf the discount is 20%, the price $80 represents 80% of the original. 80 / 0.8 = 100.
18
20
22
25
ExplanationSum = 12+15+23+30 = 80. Average = 80 / 4 = 20.
20
25
30
35
Explanation0.15 * 200 = 30.
4
5
6
7
Explanation2y = 12, therefore y = 6.
70
80
90
100
ExplanationThe sum of interior angles in a triangle is 180. 180 - (40 + 60) = 80.
28
30
32
34
ExplanationThe differences between terms are +4, +6, +8. The next difference is +10. 20 + 10 = 30.
1
2
3
7
ExplanationSubstitute x=3 into the equation: (3^2) - 4(3) + 4 = 9 - 12 + 4 = 1.

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 National Excellence Institute 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.

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