Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 48 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
2. 2.If x/6 + 14 = 26, what is x? (a) 142 (b) 12 (c) 240 (d) 72
3. 3.Which fraction is greater: 3/8 or 3/5? (a) They are equal (b) 3/5 (c) 3/8
4. 4.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 10 cm (c) 9 cm (d) 18 cm
5. 5.₹104 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹65 (b) ₹52 (c) ₹39 (d) ₹13
6. 6.What is the smallest number you must add to 203 to make it divisible by 5? (a) 3 (b) 1 (c) 2 (d) 4
7. 7.In how many years will ₹5500 earn ₹1100 simple interest at 5% per year? (a) 3 years (b) 4 years (c) 5 years (d) 8 years
8. 8.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 16% (b) 10% (c) 20% (d) 15%
9. 9.A shopkeeper buys a toy for ₹900 and sells it for ₹765. What is his loss percent? (a) 16% (b) 15% (c) 10% (d) 20%
10. 10.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 9 days
11. 11.Which of these numbers is divisible by 3? (a) 713 (b) 718 (c) 715 (d) 714
12. 12.Which fraction is greater: 2/7 or 2/3? (a) They are equal (b) 2/7 (c) 2/3
13. 13.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
14. 14.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 13 sq cm (c) 26 sq cm (d) 33 sq cm
15. 15.If 5x − 42 = 28, what is x? (a) 70 (b) 13 (c) 15 (d) 14
16. 16.Every pair follows the same rule: 3 : 9, 4 : 14, 8 : 34. What is 6 : ? (a) 12 (b) 18 (c) 24 (d) 25
17. 17.A shopkeeper buys a toy for ₹920 and sells it for ₹782. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%
18. 18.4.01 + 8.8 = ? (a) 4.89 (b) 12.81 (c) 12.91 (d) 12.71
19. 19.If 4x + 3 = x + 39, what is x? (a) 12 (b) 11 (c) 14 (d) 13
20. 20.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 9 cm (d) 8 cm
21. 21.A shopkeeper buys a toy for ₹960 and sells it for ₹672. What is his loss percent? (a) 30% (b) 35% (c) 31% (d) 25%
22. 22.What is 1/3 of 36? (a) 12 (b) 11 (c) 13 (d) 24
23. 23.If 2 August is a Sunday, what day of the week is 15 August? (a) Monday (b) Saturday (c) Friday (d) Sunday
24. 24.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 3 days (d) 2 days
25. 25.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 11 (b) 101 (c) 20 (d) 125
26. 26.What is the remainder when 212 is divided by 3? (a) 0 (b) 2 (c) 1
27. 27.2.98 + 3.3 = ? (a) 3.31 (b) 6.18 (c) 6.28 (d) 6.38
28. 28.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 7 (b) 28 (c) 22 (d) 43
29. 29.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 56 min (c) 112 min (d) 2 min
30. 30.Two ribbons are 27 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 45 cm (c) 9 cm (d) 27 cm
31. 31.Every pair follows the same rule: 4 : 15, 8 : 19, 9 : 20. What is 6 : ? (a) 18 (b) 16 (c) 19 (d) 17
32. 32.Every pair follows the same rule: 2 : 4, 4 : 16, 9 : 81. What is 8 : ? (a) 16 (b) 10 (c) 68 (d) 64
33. 33.If 6x − 12 = 18, what is x? (a) 30 (b) 1 (c) 6 (d) 5
34. 34.What is 1/3 of 18? (a) 5 (b) 12 (c) 6 (d) 7
35. 35.₹77 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹33 (b) ₹11 (c) ₹44 (d) ₹55
36. 36.Two ribbons are 12 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 42 cm (d) 12 cm
37. 37.What is the simple interest on ₹8500 at 8% per year for 4 years? (a) ₹680 (b) ₹2720 (c) ₹3400 (d) ₹11220
38. 38.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 120 sq cm (d) 140 sq cm
39. 39.₹104 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹64 (b) ₹8 (c) ₹52 (d) ₹40
40. 40.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 83 (b) 25 (c) 24 (d) 39

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