Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 959 · 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.In how many years will ₹3000 earn ₹600 simple interest at 5% per year? (a) 8 years (b) 4 years (c) 3 years (d) 5 years
2. 2.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
3. 3.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 112 (b) 44 (c) 224 (d) 448
4. 4.Which of these numbers is divisible by 3? (a) 2682 (b) 2686 (c) 2684 (d) 2680
5. 5.What is the value of the digit 9 in 34.951? (a) 0.009 (b) 9 (c) 0.9 (d) 0.09
6. 6.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 30% (b) 80% (c) 25% (d) 20%
7. 7.3.46 + 8.8 = ? (a) 12.16 (b) 12.26 (c) 4.34 (d) 12.36
8. 8.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
9. 9.9.26 + 2.2 = ? (a) 11.46 (b) 11.56 (c) 9.48 (d) 11.36
10. 10.What is the units digit of 3^21? (a) 1 (b) 3 (c) 7 (d) 9
11. 11.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 15 (b) 16 (c) 63 (d) 30
12. 12.₹66 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹42 (b) ₹33 (c) ₹6 (d) ₹24
13. 13.What is the simple interest on ₹6500 at 4% per year for 2 years? (a) ₹7020 (b) ₹780 (c) ₹520 (d) ₹260
14. 14.What is the value of the digit 1 in 47.591? (a) 0.1 (b) 0.01 (c) 1 (d) 0.001
15. 15.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 216 min (c) 36 min (d) 30 min
16. 16.Which is the smallest: 0.586, 0.6, 0.68, 0.032? (a) 0.586 (b) 0.6 (c) 0.68 (d) 0.032
17. 17.In how many years will ₹7500 earn ₹4500 simple interest at 12% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
18. 18.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 5 : ? (a) 11 (b) 15 (c) 25 (d) 26
19. 19.Every pair follows the same rule: 2 : 9, 6 : 29, 7 : 34. What is 5 : ? (a) 12 (b) 23 (c) 24 (d) 25
20. 20.Which is the smallest: 0.3, 0.211, 0.014, 0.36? (a) 0.3 (b) 0.211 (c) 0.014 (d) 0.36
21. 21.What is the units digit of 7^39? (a) 9 (b) 7 (c) 1 (d) 3
22. 22.Which fraction is greater: 2/3 or 3/7? (a) 3/7 (b) 2/3 (c) They are equal
23. 23.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 2 : ? (a) 7 (b) 9 (c) 8 (d) 2
24. 24.Every pair follows the same rule: 2 : 10, 5 : 31, 6 : 42. What is 4 : ? (a) 22 (b) 20 (c) 12 (d) 23
25. 25.The simple interest on ₹6000 for 2 years is ₹1200. What is the rate per year? (a) 11% (b) 9% (c) 20% (d) 10%
26. 26.3.05 + 2.6 = ? (a) 3.31 (b) 5.65 (c) 5.55 (d) 5.75
27. 27.2/3 + 6/8 = ? (a) 35/24 (b) 11/8 (c) 8/11 (d) 17/12
28. 28.What is 30% of 680? (a) 204 (b) 408 (c) 476 (d) 2040
29. 29.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 20 (b) 57 (c) 46 (d) 31
30. 30.What is the remainder when 856 is divided by 12? (a) 5 (b) 8 (c) 4 (d) 3
31. 31.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 126 cm (c) 16 cm (d) 9 cm
32. 32.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
33. 33.The simple interest on ₹7500 for 3 years is ₹2475. What is the rate per year? (a) 33% (b) 11% (c) 10% (d) 12%
34. 34.₹6500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹6630 (b) ₹7020 (c) ₹7150 (d) ₹520
35. 35.If 4x − 2 = 6, what is x? (a) 3 (b) 1 (c) 2 (d) 8
36. 36.A bag marked ₹1260 is sold at a 20% discount. What is its selling price? (a) ₹252 (b) ₹1240 (c) ₹1512 (d) ₹1008
37. 37.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 27 cm (d) 24 cm
38. 38.1/3 + 1/2 = ? (a) 5/6 (b) 2/5 (c) 1 (d) 2/3
39. 39.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 36 cm (c) 18 cm (d) 77 cm
40. 40.If 3 March is a Thursday, what day of the week is 19 March? (a) Friday (b) Saturday (c) Monday (d) Sunday

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