Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 780 · 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. 1.3/4 + 3/9 = ? (a) 6/13 (b) 13/12 (c) 19/18 (d) 10/9
2. 2.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 56 (c) 10 (d) 37
3. 3.1/3 + 2/3 = ? (a) 1 (b) 1/2 (c) 2/3 (d) 4/3
4. 4.What is 30% of 660? (a) 1980 (b) 198 (c) 462 (d) 396
5. 5.If 2x + 15 = 27, what is x? (a) 6 (b) 12 (c) 21 (d) 7
6. 6.Which of these numbers is divisible by 6? (a) 619 (b) 609 (c) 612 (d) 614
7. 7.If x/3 + 4 = 7, what is x? (a) 9 (b) 17 (c) 33 (d) 3
8. 8.In how many years will ₹7500 earn ₹3600 simple interest at 12% per year? (a) 4 years (b) 8 years (c) 5 years (d) 3 years
9. 9.1/6 + 3/5 = ? (a) 4/11 (b) 11/15 (c) 4/5 (d) 23/30
10. 10.What is 1/2 of 16? (a) 16 (b) 8 (c) 9 (d) 7
11. 11.2.49 + 3.7 = ? (a) 6.19 (b) 6.29 (c) 6.09 (d) 2.86
12. 12.Which is the smallest: 0.65, 0.512, 0.032, 0.6? (a) 0.65 (b) 0.512 (c) 0.032 (d) 0.6
13. 13.If 14 May is a Monday, what day of the week is 30 May? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
14. 14.Which fraction is greater: 5/8 or 6/11? (a) They are equal (b) 5/8 (c) 6/11
15. 15.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 42 (b) 30 (c) 86 (d) 31
16. 16.If 2x + 18 = 34, what is x? (a) 16 (b) 26 (c) 9 (d) 8
17. 17.If 5 mangoes cost ₹65, how much do 10 mangoes cost? (a) ₹70 (b) ₹130 (c) ₹650 (d) ₹143
18. 18.2.71 + 1.1 = ? (a) 2.82 (b) 3.81 (c) 3.71 (d) 3.91
19. 19.In how many years will ₹7000 earn ₹420 simple interest at 2% per year? (a) 2 years (b) 4 years (c) 6 years (d) 3 years
20. 20.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 140 min (c) 70 min (d) 24 min
21. 21.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 23 (b) 43 (c) 44 (d) 24
22. 22.₹8500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹10540 (b) ₹9010 (c) ₹1530 (d) ₹10030
23. 23.What is the simple interest on ₹5000 at 6% per year for 2 years? (a) ₹300 (b) ₹900 (c) ₹600 (d) ₹5600
24. 24.If 10 June is a Friday, what day of the week is 6 July? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
25. 25.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 1 : ? (a) 1 (b) 4 (c) 7 (d) 2
26. 26.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
27. 27.What is the value of the digit 4 in 42.357? (a) 4 (b) 40 (c) 0.4 (d) 0.04
28. 28.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 54 sq cm (c) 27 sq cm (d) 180 sq cm
29. 29.If 4 December is a Thursday, what day of the week is 12 December? (a) Thursday (b) Saturday (c) Sunday (d) Friday
30. 30.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 44 sq cm (c) 22 sq cm (d) 40 sq cm
31. 31.If x/3 + 10 = 16, what is x? (a) 78 (b) 18 (c) 38 (d) 6
32. 32.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 5 : ? (a) 164 (b) 5 (c) 126 (d) 125
33. 33.What is the simple interest on ₹5000 at 6% per year for 5 years? (a) ₹1500 (b) ₹6500 (c) ₹1800 (d) ₹300
34. 34.What is the average of 8, 25, 19, 12, 29 and 27? (a) 19 (b) 20 (c) 24 (d) 21
35. 35.₹8500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹8925 (b) ₹10625 (c) ₹1700 (d) ₹10200
36. 36.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 51 (c) 25 (d) 71
37. 37.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 176 sq cm (d) 160 sq cm
38. 38.What is 6/7 of 84? (a) 73 (b) 72 (c) 84 (d) 12
39. 39.₹165 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹99 (b) ₹66 (c) ₹132 (d) ₹33
40. 40.If 3 July is a Wednesday, what day of the week is 11 July? (a) Wednesday (b) Thursday (c) Friday (d) Saturday

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