Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 701 · 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. 1.1/2 + 1/2 = ? (a) 1/2 (b) 3/2 (c) 2 (d) 1
2. 2.₹420 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹150 (b) ₹270 (c) ₹30 (d) ₹210
3. 3.What is the smallest number you must add to 64 to make it divisible by 5? (a) 3 (b) 1 (c) 4 (d) 2
4. 4.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 94 (b) 37 (c) 46 (d) 36
5. 5.What is 15% of 760? (a) 228 (b) 114 (c) 646 (d) 1140
6. 6.What is the units digit of 7^54? (a) 9 (b) 7 (c) 1 (d) 3
7. 7.What is the value of the digit 8 in 95.814? (a) 0.08 (b) 8 (c) 0.8 (d) 0.008
8. 8.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 136 sq cm (c) 48 sq cm (d) 119 sq cm
9. 9.What is the units digit of 9^14? (a) 1 (b) 2 (c) 0 (d) 9
10. 10.9.36 + 4.7 = ? (a) 9.83 (b) 13.96 (c) 14.16 (d) 14.06
11. 11.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 24 (b) 40 (c) 77 (d) 61
12. 12.If 8x + 17 = 97, what is x? (a) 80 (b) 9 (c) 11 (d) 10
13. 13.₹5000 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹5450 (b) ₹1800 (c) ₹6800 (d) ₹7250
14. 14.₹2000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹2220 (b) ₹2880 (c) ₹3100 (d) ₹880
15. 15.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 80 min (b) 2 min (c) 40 min (d) 18 min
16. 16.If 6x + 4 = 4x + 20, what is x? (a) 8 (b) 10 (c) 9 (d) 12
17. 17.If 19 March is a Thursday, what day of the week is 7 April? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
18. 18.The simple interest on ₹1000 for 5 years is ₹100. What is the rate per year? (a) 3% (b) 10% (c) 1% (d) 2%
19. 19.If 6 July is a Sunday, what day of the week is 15 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
20. 20.3.27 + 3.9 = ? (a) 7.07 (b) 7.17 (c) 3.66 (d) 7.27
21. 21.If 10 December is a Monday, what day of the week is 18 December? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
22. 22.Every pair follows the same rule: 3 : 9, 4 : 16, 5 : 25. What is 2 : ? (a) 6 (b) 4 (c) 5 (d) 8
23. 23.₹240 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹96 (b) ₹48 (c) ₹144 (d) ₹120
24. 24.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 42 sq cm (d) 49 sq cm
25. 25.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 10 (b) 18 (c) 39 (d) 9
26. 26.Which fraction is greater: 1/4 or 2/3? (a) 2/3 (b) They are equal (c) 1/4
27. 27.In how many years will ₹6500 earn ₹520 simple interest at 4% per year? (a) 3 years (b) 1 year (c) 2 years (d) 4 years
28. 28.5.93 + 9.7 = ? (a) 15.73 (b) 15.63 (c) 15.53 (d) 6.9
29. 29.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 62 (b) 40 (c) 38 (d) 30
30. 30.Today is Sunday. What day of the week will it be after 78 days? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
31. 31.Which is the greatest: 0.045, 0.85, 0.781, 0.8? (a) 0.045 (b) 0.85 (c) 0.781 (d) 0.8
32. 32.What is the simple interest on ₹8000 at 6% per year for 3 years? (a) ₹9440 (b) ₹480 (c) ₹1920 (d) ₹1440
33. 33.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 30 (b) 90 (c) 60 (d) 21
34. 34.What is the remainder when 95 is divided by 6? (a) 5 (b) 1 (c) 3 (d) 4
35. 35.Which is the greatest: 0.034, 0.32, 0.234, 0.3? (a) 0.034 (b) 0.32 (c) 0.234 (d) 0.3
36. 36.If 3 kites cost ₹48, how much do 12 kites cost? (a) ₹576 (b) ₹192 (c) ₹57 (d) ₹208
37. 37.The simple interest on ₹1000 for 3 years is ₹330. What is the rate per year? (a) 10% (b) 12% (c) 33% (d) 11%
38. 38.Which is the greatest: 0.41, 0.4, 0.369, 0.089? (a) 0.41 (b) 0.4 (c) 0.369 (d) 0.089
39. 39.3.51 + 9.1 = ? (a) 12.61 (b) 12.71 (c) 12.51 (d) 4.42
40. 40.If 2x − 9 = 21, what is x? (a) 6 (b) 15 (c) 30 (d) 16

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