ECAT Mathematics MCQs by Chapter: Algebra, Trigonometry & Calculus

Chapter-wise ECAT Mathematics practice — Algebra, Trigonometry and Calculus, the three chapters that carry the most weight in the UET ECAT Math section, with sample MCQs for each.

ECAT Mathematics draws heavily from three chapters: Algebra, Trigonometry and Calculus. Rather than one flat "ECAT Math MCQs" post, here's a chapter-by-chapter sample so you can target your revision precisely.

Chapter: Algebra

1. For the quadratic equation ax² + bx + c = 0, the sum of its roots equals:

A) c/a
B) -b/a ✅
C) b/a
D) -c/a

2. If A = {1, 2, 3} and B = {2, 3, 4}, then A ∩ B equals:

A) {1, 2, 3, 4}
B) {2, 3} ✅
C) {1, 4}
D) { }

3. The value of log₁₀(100) is:

A) 1
B) 2 ✅
C) 10
D) 100

Chapter: Trigonometry

4. The value of sin(90°) is:

A) 0
B) 0.5
C) 1 ✅
D) Undefined

5. The identity sin²θ + cos²θ is always equal to:

A) 0
B) 1 ✅
C) 2
D) tan θ

6. The value of tan(45°) is:

A) 0
B) 1 ✅
C) √2
D) Undefined

Chapter: Calculus

7. The derivative of x² with respect to x is:

A) x
B) 2x ✅
C) x²
D) 2

8. The derivative of any constant is always:

A) 1
B) The constant itself
C) 0 ✅
D) Undefined

9. ∫x dx equals:

A) x + C
B) x²/2 + C ✅
C) 2x + C
D) x² + C

Why This Split Matches the Real Paper

ECAT Mathematics rewards fluency in Algebra, Trigonometry and Calculus more than breadth across every minor topic on the FSc Pre-Engineering syllabus — these three chapters are where most of the paper's marks actually sit.

HighYield's ECAT question bank covers Mathematics, Physics, Chemistry and English, every question explained. For the full syllabus and preparation books breakdown, see our ECAT Past Papers, Syllabus & Preparation Books guide. Try the first 20 questions of the full bank free, no sign-in required, from the UET ECAT question bank page.