Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 596 · 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.If 6 pens cost ₹150, how much do 4 pens cost? (a) ₹100 (b) ₹600 (c) ₹148 (d) ₹125
2. 2.What is the remainder when 49 is divided by 3? (a) 1 (b) 0 (c) 2
3. 3.₹209 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹38 (b) ₹19 (c) ₹171 (d) ₹190
4. 4.₹54 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹24 (b) ₹30 (c) ₹27 (d) ₹6
5. 5.8 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 20 days (b) 14 days (c) 6 days (d) 5 days
6. 6.₹242 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹110 (b) ₹132 (c) ₹121 (d) ₹22
7. 7.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 2 days (c) 3 days (d) 4 days
8. 8.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 29 (b) 16 (c) 37 (d) 25
9. 9.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 1 : ? (a) 1 (b) 2 (c) 4 (d) 7
10. 10.₹2500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹3000 (b) ₹3250 (c) ₹2750 (d) ₹500
11. 11.What is the simple interest on ₹5500 at 3% per year for 5 years? (a) ₹165 (b) ₹6325 (c) ₹990 (d) ₹825
12. 12.If 5x − 18 = 22, what is x? (a) 7 (b) 9 (c) 8 (d) 40
13. 13.₹8500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹10030 (b) ₹10795 (c) ₹9265 (d) ₹1530
14. 14.₹1500 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹1575 (b) ₹1725 (c) ₹1800 (d) ₹225
15. 15.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 48 cm (c) 24 cm (d) 37 cm
16. 16.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
17. 17.What is the remainder when 292 is divided by 6? (a) 3 (b) 5 (c) 4 (d) 2
18. 18.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 30 sq cm (d) 64 sq cm
19. 19.What is 2/7 of 84? (a) 12 (b) 36 (c) 24 (d) 60
20. 20.What is 1/3 of 21? (a) 6 (b) 7 (c) 8 (d) 14
21. 21.What is the average of 55, 59, 66, 38 and 37? (a) 52 (b) 50 (c) 51 (d) 53
22. 22.What is 5/7 of 70? (a) 60 (b) 50 (c) 20 (d) 10
23. 23.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 26 sq cm (d) 36 sq cm
24. 24.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 168 (b) 26 (c) 85 (d) 84
25. 25.Which is the greatest: 0.316, 0.034, 0.4, 0.42? (a) 0.316 (b) 0.034 (c) 0.4 (d) 0.42
26. 26.What is the smallest number you must add to 57 to make it divisible by 4? (a) 2 (b) 3 (c) 1
27. 27.Which is the smallest: 0.4, 0.062, 0.47, 0.338? (a) 0.4 (b) 0.062 (c) 0.47 (d) 0.338
28. 28.What is the average of 60, 88, 89 and 59? (a) 75 (b) 76 (c) 73 (d) 74
29. 29.Which fraction is greater: 2/3 or 11/12? (a) 11/12 (b) 2/3 (c) They are equal
30. 30.What is the units digit of 7^34? (a) 1 (b) 3 (c) 9 (d) 7
31. 31.If 3x + 5 = 2x + 11, what is x? (a) 8 (b) 6 (c) 16 (d) 7
32. 32.The simple interest on ₹2500 for 3 years is ₹825. What is the rate per year? (a) 12% (b) 33% (c) 10% (d) 11%
33. 33.Today is Saturday. What day of the week will it be after 55 days? (a) Saturday (b) Friday (c) Thursday (d) Sunday
34. 34.If 2x − 6 = 14, what is x? (a) 11 (b) 20 (c) 10 (d) 4
35. 35.What is 60% of 260? (a) 156 (b) 312 (c) 104 (d) 1560
36. 36.In how many years will ₹2000 earn ₹720 simple interest at 12% per year? (a) 2 years (b) 4 years (c) 3 years (d) 6 years
37. 37.A shopkeeper buys a toy for ₹920 and sells it for ₹1196. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
38. 38.What is 5% of 560? (a) 56 (b) 532 (c) 280 (d) 28
39. 39.₹7500 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹8100 (b) ₹600 (c) ₹8400 (d) ₹7800
40. 40.₹294 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹126 (b) ₹42 (c) ₹147 (d) ₹168

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