Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 620 · 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 31 March is a Saturday, what day of the week is 10 April? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
2. 2.If 9x − 29 = 16, what is x? (a) 5 (b) 4 (c) 6 (d) 45
3. 3.Today is Wednesday. What day of the week will it be after 11 days? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
4. 4.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 22 cm (d) 44 cm
5. 5.What is the units digit of 3^40? (a) 3 (b) 1 (c) 7 (d) 9
6. 6.What is 60% of 140? (a) 168 (b) 56 (c) 84 (d) 840
7. 7.Two ribbons are 12 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 12 cm (c) 3 cm (d) 1 cm
8. 8.If x/2 + 2 = 12, what is x? (a) 10 (b) 20 (c) 28 (d) 22
9. 9.1/7 + 1/2 = ? (a) 9/14 (b) 2/9 (c) 4/7 (d) 5/7
10. 10.Every pair follows the same rule: 3 : 11, 4 : 12, 7 : 15. What is 2 : ? (a) 12 (b) 10 (c) 9 (d) 11
11. 11.What is the simple interest on ₹1000 at 9% per year for 4 years? (a) ₹1360 (b) ₹450 (c) ₹360 (d) ₹90
12. 12.What is the average of all the whole numbers from 30 to 40? (a) 10 (b) 5 (c) 36 (d) 35
13. 13.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 25 min (c) 30 min (d) 150 min
14. 14.What is the units digit of 8^27? (a) 6 (b) 4 (c) 8 (d) 2
15. 15.A shopkeeper buys a toy for ₹960 and sells it for ₹1008. What is his profit percent? (a) 10% (b) 6% (c) 48% (d) 5%
16. 16.What is the smallest number you must add to 249 to make it divisible by 11? (a) 3 (b) 4 (c) 5 (d) 7
17. 17.Today is Wednesday. What day of the week will it be after 10 days? (a) Friday (b) Monday (c) Saturday (d) Sunday
18. 18.What is 5/6 of 66? (a) 66 (b) 11 (c) 55 (d) 56
19. 19.If 3 December is a Monday, what day of the week is 19 December? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
20. 20.If 13 August is a Wednesday, what day of the week is 7 September? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
21. 21.What is 1/2 of 24? (a) 11 (b) 13 (c) 12 (d) 24
22. 22.Which fraction is greater: 1/7 or 6/11? (a) 1/7 (b) 6/11 (c) They are equal
23. 23.2/7 + 1/3 = ? (a) 4/7 (b) 13/21 (c) 3/10 (d) 2/3
24. 24.A shopkeeper buys a toy for ₹980 and sells it for ₹1029. What is his profit percent? (a) 5% (b) 49% (c) 10% (d) 6%
25. 25.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 21 sq cm (d) 18 sq cm
26. 26.If 7 kites cost ₹56, how much do 9 kites cost? (a) ₹80 (b) ₹72 (c) ₹58 (d) ₹504
27. 27.₹60 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹30 (b) ₹36 (c) ₹12 (d) ₹24
28. 28.Today is Wednesday. What day of the week will it be after 25 days? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
29. 29.₹9000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹12240 (b) ₹2160 (c) ₹10080 (d) ₹11160
30. 30.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
31. 31.Today is Wednesday. What day of the week will it be after 77 days? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
32. 32.2.89 + 1.3 = ? (a) 4.19 (b) 4.29 (c) 4.09 (d) 3.02
33. 33.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 100 (b) 50 (c) 35 (d) 250
34. 34.₹3500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹3850 (b) ₹4200 (c) ₹4550 (d) ₹700
35. 35.Which fraction is greater: 7/10 or 2/5? (a) 2/5 (b) 7/10 (c) They are equal
36. 36.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
37. 37.Every pair follows the same rule: 2 : 8, 4 : 16, 5 : 20. What is 3 : ? (a) 11 (b) 12 (c) 9 (d) 13
38. 38.If 2 October is a Sunday, what day of the week is 10 October? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
39. 39.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 90 (b) 44 (c) 39 (d) 38
40. 40.In how many years will ₹4000 earn ₹240 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years

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