CCH Maths Entry Test MCQs — Free Online Practice
Waiting for the CCH Hasanabdal entry test? Practise the exact subjects its paper examines, with free MCQs — including questions written in the CCH style from its published syllabus. Below are 8 Maths questions drawn from our bank of 205 — 97 of them written in the CCH style from its published syllabus. Arithmetic, fractions, percentages, ratio and word problems in the style the entry test asks them.
Where this fits in the CCH paper
200 marks in 3 hours — Mathematics 50 · English 40 · General Science 50 · Islamiat + Urdu 60.
the subject-wise breakdown our CCH syllabus page mirrors from the college's published pattern (the recurring structure stated as such — the college's own announcement is the authority on any year's changes)
50 marks — the heaviest section; arithmetic speed decides it
Free sample CCH Maths MCQs (with answers)
1. Simplify: (x² − 9) ÷ (x − 3).
- A. x + 3
- B. x − 3
- C. x
- D. 3
Correct answer: A
x² − 9 = (x−3)(x+3); dividing by (x−3) leaves x + 3.
2. Factorise: x² − 9
- A. (x−3)(x+3)
- B. x(x−9)
- C. (x+3)(x+3)
- D. (x−3)(x−3)
Correct answer: A
Difference of squares: x² − 9 = (x−3)(x+3).
3. Rs 630 is divided between two brothers in the ratio 2 : 5. The smaller share is:
- A. Rs 210
- B. Rs 252
- C. Rs 450
- D. Rs 180
Correct answer: D
Total parts = 2 + 5 = 7. One part = 630 ÷ 7 = Rs 90, so the smaller share = 2 × 90 = Rs 180.
4. The ratio of 2 dozen to 1 score (20) is:
- A. 6:5
- B. 5:6
- C. 12:10
- D. 2:1
Correct answer: A
2 dozen = 24; 24:20 = 6:5.
5. The radius of a circle is 7 cm. Taking π = 22/7, what is its circumference?
- A. 22 cm
- B. 44 cm
- C. 154 cm
- D. 49 cm
Correct answer: B
Circumference = 2πr = 2 × (22/7) × 7 = 44 cm.
6. A shopkeeper buys a pen for Rs 80 and sells it for Rs 100. What is his profit percentage?
- A. 20%
- B. 25%
- C. 15%
- D. 30%
Correct answer: B
Profit = 100−80 = 20; percentage = (20/80)×100 = 25%.
7. If a = −2, what is the value of 2a² − 3a?
- A. −14
- B. 2
- C. 26
- D. 14
Correct answer: D
Substitute a = −2: 2 × (−2)² − 3 × (−2) = 2 × 4 + 6 = 14. The square of −2 is positive 4, and the minus sign in front of 3a turns −6 into +6.
8. A shopkeeper buys a cricket bat for Rs 1,250 and sells it for Rs 1,600. What is the profit percentage?
- A. 22%
- B. 35%
- C. 28%
- D. 15%
Correct answer: D
Profit = 1600 − 1250 = Rs 350, and profit % is always taken on the COST price: (350 ÷ 1250) × 100 = 28%. Dividing by the selling price (≈21.9%) is the classic trap.
Practise the full CCH bank — free
These samples come straight from our free practice bank of 205 CCH Maths questions. The full engine adapts to your level, tracks the topics you miss and builds a streak — and it stays 100% free.