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Practice · Class 5–6

Olympiad Practice Questions for Class 5–6

20 verified olympiad-style problems for Class 5 and Class 6 students, with instant solutions and explanations. Covers fractions, decimals, ratio, factors and multiples, basic mensuration with reasoning. Free forever — no login, no ads.

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Question 1 of 20 · Class 5–6
What is 3/4 of 60?
30
40
45
50
Answer: 45 — 3/4 × 60 = (60 ÷ 4) × 3 = 15 × 3 = 45.
Question 2 of 20 · Class 5–6
The LCM of 4 and 6 is:
10
12
18
24
Answer: 12 — Multiples of 4: 4, 8, 12... Multiples of 6: 6, 12... The smallest common multiple is 12.
Question 3 of 20 · Class 5–6
A shirt costs ₹450. After a 10% discount, its price is:
₹405
₹410
₹440
₹445
Answer: ₹405 — 10% of 450 = 45. Discounted price = 450 − 45 = ₹405.
Question 4 of 20 · Class 5–6
What is 0.25 as a fraction in lowest terms?
1/2
1/3
1/4
1/5
Answer: 1/4 — 0.25 = 25/100 = 1/4 after dividing both by 25.
Question 5 of 20 · Class 5–6
The angles of a triangle add up to:
90°
180°
270°
360°
Answer: 180° — The three interior angles of any triangle always add to 180°.
Question 6 of 20 · Class 5–6
If a car travels 60 km in 1 hour, how far in 3.5 hours at the same speed?
180 km
200 km
210 km
240 km
Answer: 210 km — Distance = speed × time = 60 × 3.5 = 210 km.
Question 7 of 20 · Class 5–6
Which of these is a prime number?
15
21
23
27
Answer: 23 — A prime has exactly two factors: 1 and itself. 23 is only divisible by 1 and 23.
Question 8 of 20 · Class 5–6
The area of a square with side 9 cm is:
18 cm²
27 cm²
36 cm²
81 cm²
Answer: 81 cm² — Area of square = side × side = 9 × 9 = 81 cm².
Question 9 of 20 · Class 5–6
Convert 5/8 to a decimal.
0.375
0.5
0.625
0.75
Answer: 0.625 — 5 ÷ 8 = 0.625.
Question 10 of 20 · Class 5–6
The ratio 12 : 18 in simplest form is:
1 : 2
2 : 3
3 : 4
4 : 5
Answer: 2 : 3 — Divide both by their HCF (6): 12/6 = 2, 18/6 = 3. So 2 : 3.
Question 11 of 20 · Class 5–6
The sum of the smallest 3-digit number and the largest 3-digit number is:
999
1000
1099
1100
Answer: 1099 — Smallest 3-digit = 100. Largest = 999. Sum = 100 + 999 = 1099.
Question 12 of 20 · Class 5–6
What is the smallest number that when divided by 4, 6, or 8 leaves remainder 3?
23
24
27
51
Answer: 27 — LCM(4,6,8) = 24. So the number is 24k + 3. For k=1: 27. Check: 27 = 4(6)+3 ✓, 6(4)+3 ✓, 8(3)+3 ✓.
Question 13 of 20 · Class 5–6
The sum of two numbers is 45 and their ratio is 4 : 5. The larger number is:
20
25
27
30
Answer: 25 — Total parts = 4 + 5 = 9. Each part = 45 ÷ 9 = 5. Larger = 5 × 5 = 25.
Question 14 of 20 · Class 5–6
If a : b = 3 : 4 and b : c = 5 : 6, then a : c =
5 : 8
1 : 2
5 : 12
15 : 24
Answer: 5 : 8 — Make b common: multiply first by 5, second by 4. a : b = 15 : 20; b : c = 20 : 24. So a : c = 15 : 24 = 5 : 8.
Question 15 of 20 · Class 5–6
A rectangle has length 15 cm and diagonal 17 cm. Its width is:
6 cm
8 cm
10 cm
12 cm
Answer: 8 cm — By Pythagoras: width² = 17² − 15² = 289 − 225 = 64. Width = 8 cm.
Question 16 of 20 · Class 5–6
A shopkeeper marks a shirt ₹800 and gives 15% discount. Selling price is:
₹640
₹680
₹720
₹760
Answer: ₹680 — Discount = 15% of 800 = 120. SP = 800 − 120 = ₹680.
Question 17 of 20 · Class 5–6
The average of first 10 odd natural numbers is:
9
10
11
15
Answer: 10 — Odd numbers 1, 3, 5, …, 19. Sum = 10² = 100. Average = 100 ÷ 10 = 10.
Question 18 of 20 · Class 5–6
A cube has surface area 96 cm². Its volume is:
16 cm³
24 cm³
48 cm³
64 cm³
Answer: 64 cm³ — Surface area = 6s² = 96, so s² = 16, s = 4 cm. Volume = 4³ = 64 cm³.
Question 19 of 20 · Class 5–6
The number of factors of 60 is:
8
10
12
15
Answer: 12 — 60 = 2² × 3 × 5. Number of factors = (2+1)(1+1)(1+1) = 3 × 2 × 2 = 12.
Question 20 of 20 · Class 5–6
A train 240 m long crosses a pole in 12 seconds. Its speed is:
18 km/h
54 km/h
60 km/h
72 km/h
Answer: 72 km/h — Speed = 240 ÷ 12 = 20 m/s = 20 × 18/5 = 72 km/h.

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