Chapters and topics
- Complex Numbers 2 topics · 210 MCQs
- Quadratic Equations and Inequalities 2 topics · 205 MCQs
- Matrices and Determinants 2 topics · 202 MCQs
- Functions and Graphs 2 topics · 202 MCQs
- Rational Expressions and Linear Inequalities 2 topics · 212 MCQs
- Vectors in the Plane 2 topics · 227 MCQs
- Trigonometry 2 topics · 215 MCQs
- Circles: Chords, Tangents and Angles 2 topics · 213 MCQs
- Statistics 2 topics · 220 MCQs
- Probability 2 topics · 206 MCQs
Sample Mathematics MCQs
Try these questions, then open the full practice to work through every chapter. Tap “Show the answer” after you choose.
Q1. Geometrically, |z| is:
- the distance of the point z from the origin
- the angle with the x-axis
- the real part
- the area
Show the answer
Answer: A. the distance of the point z from the origin
The correct answer is “the distance of the point z from the origin”. Modulus = distance.
Q2. The parabola y = −2x² + 16x − 38 opens:
- to the left
- to the right
- upwards
- downwards
Show the answer
Answer: D. downwards
The correct answer is “downwards”. Sign of a.
Q3. For what value of x is [1 2 ; 5 x] a singular matrix?
- −10
- 10
- 11
- 1/5
Show the answer
Answer: B. 10
The correct answer is “10”. 1x − (2)(5) = 0.
Q4. A 100 g sample halves every day. After 3 days, the mass is:
- 25/2 g
- 94 g
- 25 g
- 50/3 g
Show the answer
Answer: A. 25/2 g
The correct answer is “25/2 g”. M = 100 × (1/2)^3.
Q5. Simplify (x² − 5x + 4) / (x² − 7x + 12):
- (x − 1)/(x − 3)
- (x − 4)/(x − 3)
- (x − 1)/(x − 4)
- (x + 1)/(x + 3)
Show the answer
Answer: A. (x − 1)/(x − 3)
Numerator = (x − 4)(x − 1), denominator = (x − 4)(x − 3); cancel (x − 4).
Q6. The unit vector in the direction of −3i + 4j is:
- (−3i + 4j)/25
- (−3i + 4j)/5
- (−3i + 4j)/7
- (4i − 3j)/5
Show the answer
Answer: B. (−3i + 4j)/5
The correct answer is “(−3i + 4j)/5”. û = v/|v| and |v| = 5.
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