Class 10 Olympiad Sample Paper

Subjects: Mathematics, Science & Logical Reasoning
Duration: 90 Minutes
Total Questions: 40
Each question carries 1 mark

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🧠 Section A – Logical Reasoning (10 Questions)

1. Find the next number in the series:
3, 8, 15, 24, 35, ?
A) 46
B) 48
C) 49
D) 50

2. If APPLE → 50 and ORANGE → 72 (A=1, B=2…), find the sum for BANANA.
A) 42
B) 33
C) 40
D) 36

3. A statement: “All lions are animals. Some animals are not cats.” Which is correct?
A) All lions are cats
B) Some lions are cats
C) Some animals may not be lions
D) No lions are animals

4. Find the odd one out:
A) 121
B) 144
C) 169
D) 150

5. Complete the analogy:
Knife : Cutting :: Pen : ?
A) Writing
B) Reading
C) Drawing
D) Painting

6. In a code, A=1, B=2…, the word “MATH” is written as:
A) 13-1-20-8
B) 12-1-19-8
C) 13-2-20-8
D) 13-1-21-8

7. If North becomes South and East becomes West, then North-East becomes?
A) South-East
B) South-West
C) North-West
D) East

8. Number of diagonals in a decagon:
A) 35
B) 40
C) 45
D) 50

9. Find x if x² – 5x + 6 = 0
A) 2,3
B) 1,6
C) 2,4
D) 3,5

10. 2, 6, 12, 20, 30, ?
A) 36
B) 40
C) 42
D) 50

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🔢 Section B – Mathematics (15 Questions)

11. Solve: 3x + 5 = 20
A) 5
B) 3
C) 7
D) 10

12. Factorize: x² – 9x + 20
A) (x–4)(x–5)
B) (x–2)(x–10)
C) (x–5)(x–6)
D) (x–3)(x–7)

13. Solve for y: 2y – 3 = 7
A) 5
B) 6
C) 4
D) 3

14. LCM of 15, 20, 30
A) 60
B) 90
C) 120
D) 150

15. Triangle with sides 6, 8, 10 is:
A) Equilateral
B) Isosceles
C) Right-angled
D) Scalene

16. Solve: (7² – 5²) ÷ (6 – 2) = ?
A) 3
B) 6
C) 12
D) 8

17. A bag contains 5 red, 3 blue, 2 green balls. Probability of picking a blue ball:
A) 1/2
B) 1/5
C) 3/10
D) 2/5

18. Speed = 80 km/h, time = 1.5 h, distance = ?
A) 120 km
B) 100 km
C) 130 km
D) 140 km

19. sin 30° = ?
A) 1/2
B) √2/2
C) √3/2
D) 1

20. Area of circle with radius 14 cm (π=22/7)
A) 616 cm²
B) 588 cm²
C) 600 cm²
D) 550 cm²

21. Solve: 4x – 5 = 11
A) 3
B) 4
C) 5
D) 6

22. Simplify: (3³ × 3⁴) ÷ 3²
A) 12
B) 9
C) 16
D) 5

23. HCF of 36 and 60
A) 6
B) 12
C) 18
D) 24

24. 2/3 + 4/5 = ?
A) 22/15
B) 26/15
C) 28/15
D) 24/15

25. x/4 + 5 = 10, x = ?
A) 20
B) 15
C) 25
D) 30

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🔬 Section C – Science (15 Questions)

26. SI unit of energy
A) Joule
B) Newton
C) Watt
D) Pascal

27. H2SO4 is:
A) Hydrochloric acid
B) Sulfuric acid
C) Nitric acid
D) Acetic acid

28. Photosynthesis takes place in:
A) Leaf
B) Root
C) Stem
D) Flower

29. The gas essential for breathing:
A) Oxygen
B) Carbon dioxide
C) Nitrogen
D) Hydrogen

30. Boiling point of water:
A) 100°C
B) 90°C
C) 80°C
D) 120°C

31. Unit of electric current:
A) Ampere
B) Volt
C) Ohm
D) Watt

32. The Red Planet is:
A) Mercury
B) Mars
C) Venus
D) Jupiter

33. Human heart chambers:
A) 2
B) 3
C) 4
D) 5

34. Hardest natural substance:
A) Diamond
B) Gold
C) Iron
D) Silver

35. White blood cells function:
A) Transport oxygen
B) Fight infection
C) Clot blood
D) Produce hormones

36. Newton’s First Law:
A) Law of Inertia
B) Law of Motion
C) Law of Gravitation
D) Law of Energy

37. Excretory organ:
A) Liver
B) Kidney
C) Heart
D) Lungs

38. Seesaw is a type of:
A) Lever
B) Pulley
C) Screw
D) Wedge

39. Conductor of electricity:
A) Wood
B) Plastic
C) Copper
D) Rubber

40. Vitamin obtained from sunlight:
A) Vitamin A
B) Vitamin C
C) Vitamin D
D) Vitamin B

Disclaimer: This is an independently created practice paper for educational use only and is not affiliated with any official Olympiad organization.

Answer

Class 10 Olympiad – Answer Key

Q. No.	Ans	Q. No.	Ans	Q. No.	Ans	Q. No.	Ans
1	C	11	A	21	B	31	A
2	D	12	A	22	B	32	B
3	C	13	C	23	B	33	C
4	D	14	A	24	B	34	A
5	C	15	C	25	A	35	B
6	A	16	B	26	A	36	A
7	B	17	C	27	B	37	B
8	C	18	A	28	A	38	A
9	A	19	A	29	A	39	C
10	C	20	A	30	A	40	C