26 free Mathematics MCQs written in the Olympiad exam pattern, each with a step-by-step solution. Tap an option for instant feedback — no sign-up, no ads.
Revise with smart repetition →✍️ These are original practice questions written in the Olympiad pattern for school Olympiad exams — not questions from any official past paper.
Q1. What is the next number in the series: 2, 4, 8, 16, __ ?
C. 32 — Each term is double the previous one (×2): 16 × 2 = 32.
Q2. The sum of the first five prime numbers (2, 3, 5, 7, 11) is:
B. 28 — 2 + 3 + 5 + 7 + 11 = 28. (Remember 1 is not a prime number.)
Q3. At exactly 3 o'clock, the angle between the hour hand and the minute hand of a clock is:
C. 90° — At 3:00 the minute hand points at 12 and the hour hand at 3. Each hour mark is 30° apart, and 3 marks = 90°, a right angle.
Q4. The value of 3² + 4² is:
C. 25 — 3² + 4² = 9 + 16 = 25. (Interestingly, 3, 4, 5 form a right-angled triangle, since 3² + 4² = 5².)
Q5. The smallest prime number is:
C. 2 — 2 is the smallest prime number, and the only even prime. 1 is not prime (a prime has exactly two distinct factors: 1 and itself).
Q6. The sum of the interior angles of a triangle is:
B. 180° — The interior angles of any triangle always add up to 180°.
Q7. How many sides does a hexagon have?
B. 6 — A hexagon has 6 sides ('hex' means six). A pentagon has 5, a heptagon 7, and an octagon 8.
Q8. What is the next prime number after 7?
C. 11 — After 7, the numbers 8, 9 and 10 are all composite; the next prime is 11. (13 is prime too, but it is not the next one.)
Q9. 12 × 12 = ?
C. 144 — 12 × 12 = 144. This is 12 squared, a perfect square worth memorising.
Q10. The perimeter of a square with side 6 cm is:
B. 24 cm — Perimeter of a square = 4 × side = 4 × 6 = 24 cm. (36 cm² would be its area, not perimeter.)
Q11. How many different factors (divisors) does the number 12 have?
D. 6 — The factors of 12 are 1, 2, 3, 4, 6 and 12 — six factors in total.
Q12. What is the smallest number that is a multiple of both 6 and 8?
A. 24 — The LCM of 6 and 8 is 24, the least number divisible by both.
Q13. Which of these fractions is the largest?
C. 2/3 — As decimals: 3/5=0.60, 5/8=0.625, 2/3≈0.667, 1/2=0.50. So 2/3 is largest.
Q14. What is 20% of 150?
A. 30 — 20% means 20/100 = 1/5, and one-fifth of 150 is 30.
Q15. If ₹60 is shared between two people in the ratio 2 : 3, how much does the person with the larger share get?
C. 36 — Total parts = 2+3 = 5, so one part = 60/5 = 12. The larger share is 3 parts = 3×12 = 36.
Q16. What is the average (mean) of 10, 20, 30 and 40?
C. 25 — Sum = 100 and there are 4 numbers, so the mean is 100/4 = 25.
Q17. A rectangle is 8 cm long and 3 cm wide. What is its area?
D. 24 cm² — Area of a rectangle = length × width = 8 × 3 = 24 cm².
Q18. How many diagonals can be drawn inside a quadrilateral?
A. 2 — A quadrilateral has 4 vertices; joining opposite corners gives exactly 2 diagonals.
Q19. What is the complement of an angle of 35°?
C. 55° — Complementary angles add up to 90°, so the complement is 90° − 35° = 55°.
Q20. What is the supplement of an angle of 110°?
A. 70° — Supplementary angles add up to 180°, so the supplement is 180° − 110° = 70°.
Q21. Which of these numbers is divisible by 9?
D. 234 — A number is divisible by 9 if its digit sum is. For 234, 2+3+4 = 9, which is divisible by 9.
Q22. In the number 4567, which digit is in the hundreds place?
B. 5 — Reading from the right: 7 units, 6 tens, 5 hundreds, 4 thousands. So 5 is in the hundreds place.
Q23. What is the square root of 169?
C. 13 — Since 13 × 13 = 169, the square root of 169 is 13.
Q24. The pattern 1, 4, 9, 16, ... is made of perfect squares. What is the next number?
B. 25 — These are 1², 2², 3², 4², so the next term is 5² = 25.
Q25. A car travels 120 km in 2 hours at a steady speed. What is its speed?
B. 60 km/h — Speed = distance ÷ time = 120 ÷ 2 = 60 km/h.
Q26. How many lines of symmetry does a square have?
B. 4 — A square has 4 lines of symmetry: two through the midpoints of opposite sides and two along the diagonals.
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