National Excellence Institute26 الأسئلة

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

الشرح20% of $50 is $10. Subtracting $10 from $50 results in $40.

الشرحSubtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.

60 cm²

72 cm²

156 cm²

169 cm²

الشرحUsing Pythagorean theorem, the width is sqrt(13^2 - 12^2) = sqrt(169 - 144) = 5. Area = 12 * 5 = 60.

الشرحExponents rule: 2^(5+3-4) = 2^4 = 16.

10 days

12 days

15 days

18 days

الشرحTotal man-days = 15 * 20 = 300. Days for 25 workers = 300 / 25 = 12.

1/6

1/12

7/36

1/2

الشرحPossible 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

الشرحLet original be x. 0.8x = 800, so x = 1000.

الشرحlog2(32) = 5 and log3(81) = 4. 5 + 4 = 9.

100

110

121

الشرحThe sum of the first n odd integers is n^2. 10^2 = 100.

الشرحTotal sum = 5 * 20 = 100. New sum = 90. New average = 90/4 = 22.5.

-0.5

0.5

-2

الشرحConvert to y = mx + c. 4y = -2x + 8 => y = -0.5x + 2.

الشرح(x-3)(x+3) = 0, so x can be 3 or -3.

70 km/h

75 km/h

80 km/h

85 km/h

الشرحTotal distance = (60*2) + (90*1) = 210 km. Total time = 3 hours. 210 / 3 = 70.

$96

$100

$104

$144

الشرحCost price + 20% of Cost price = 120. Thus, 1.2 * CP = 120, so CP = 100.

الشرحExpanding 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

الشرحDistance is calculated as speed multiplied by time. 60 * 2.5 = 150.

الشرح2^5 = 32 and 5^2 = 25. 32 + 25 = 57.

الشرحThe 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

الشرحx^2 - 9 is a difference of squares: (x - 3)(x + 3). Dividing by (x - 3) leaves (x + 3).

$96

$100

$104

$110

الشرحIf the discount is 20%, the price $80 represents 80% of the original. 80 / 0.8 = 100.

الشرحSum = 12+15+23+30 = 80. Average = 80 / 4 = 20.

الشرح0.15 * 200 = 30.

الشرح2y = 12, therefore y = 6.

100

الشرحThe sum of interior angles in a triangle is 180. 180 - (40 + 60) = 80.

الشرحThe differences between terms are +4, +6, +8. The next difference is +10. 20 + 10 = 30.

الشرحSubstitute 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.