Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 410 · 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.Which is the smallest: 0.63, 0.565, 0.6, 0.062? (a) 0.63 (b) 0.565 (c) 0.6 (d) 0.062
2. 2.₹111 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹111 (b) ₹75 (c) ₹37 (d) ₹74
3. 3.Which fraction is greater: 8/11 or 3/4? (a) 8/11 (b) 3/4 (c) They are equal
4. 4.What is the simple interest on ₹3500 at 7% per year for 4 years? (a) ₹980 (b) ₹4480 (c) ₹245 (d) ₹1225
5. 5.If 31 May is a Thursday, what day of the week is 14 June? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
6. 6.If 4x + 10 = 34, what is x? (a) 11 (b) 24 (c) 7 (d) 6
7. 7.Which fraction is greater: 1/3 or 5/6? (a) 5/6 (b) They are equal (c) 1/3
8. 8.What is the simple interest on ₹3500 at 7% per year for 3 years? (a) ₹4235 (b) ₹980 (c) ₹245 (d) ₹735
9. 9.If 9 mangoes cost ₹198, how much do 3 mangoes cost? (a) ₹192 (b) ₹88 (c) ₹66 (d) ₹594
10. 10.Which of these numbers is divisible by 6? (a) 927 (b) 940 (c) 930 (d) 935
11. 11.Today is Saturday. What day of the week will it be after 58 days? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
12. 12.What is the remainder when 333 is divided by 5? (a) 2 (b) 1 (c) 4 (d) 3
13. 13.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 16 sq cm
14. 14.₹132 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹36 (b) ₹12 (c) ₹66 (d) ₹96
15. 15.Every pair follows the same rule: 3 : 21, 5 : 31, 7 : 41. What is 9 : ? (a) 52 (b) 27 (c) 51 (d) 63
16. 16.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 47 cm (c) 54 cm (d) 27 cm
17. 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
18. 18.Two ribbons are 20 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 20 cm (c) 16 cm (d) 4 cm
19. 19.What is the simple interest on ₹9500 at 2% per year for 5 years? (a) ₹10450 (b) ₹950 (c) ₹1140 (d) ₹190
20. 20.Which is the greatest: 0.31, 0.3, 0.024, 0.246? (a) 0.31 (b) 0.3 (c) 0.024 (d) 0.246
21. 21.What is 5% of 580? (a) 58 (b) 29 (c) 290 (d) 551
22. 22.Which is the smallest: 0.5, 0.55, 0.078, 0.471? (a) 0.5 (b) 0.55 (c) 0.078 (d) 0.471
23. 23.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 57 (b) 75 (c) 30 (d) 51
24. 24.What is the remainder when 213 is divided by 4? (a) 0 (b) 1 (c) 2 (d) 3
25. 25.What is the value of the digit 5 in 52.369? (a) 5 (b) 0.5 (c) 0.05 (d) 50
26. 26.What is the average of 58, 55, 29 and 34? (a) 44 (b) 46 (c) 45 (d) 43
27. 27.What is 1/3 of 30? (a) 20 (b) 10 (c) 9 (d) 11
28. 28.What is the average of all the whole numbers from 46 to 58? (a) 6 (b) 53 (c) 52 (d) 12
29. 29.Every pair follows the same rule: 2 : 16, 7 : 56, 9 : 72. What is 5 : ? (a) 41 (b) 19 (c) 39 (d) 40
30. 30.What is the units digit of 4^21? (a) 6 (b) 5 (c) 4 (d) 3
31. 31.A teacher has 24 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 6 (c) 3 (d) 30
32. 32.What is 2/3 of 33? (a) 22 (b) 23 (c) 33 (d) 11
33. 33.What is 5/6 of 12? (a) 11 (b) 12 (c) 2 (d) 10
34. 34.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 20 cm (c) 162 cm (d) 10 cm
35. 35.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 3 : ? (a) 27 (b) 3 (c) 12 (d) 9
36. 36.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 2 days (c) 9 days (d) 8 days
37. 37.If 13 May is a Thursday, what day of the week is 28 May? (a) Sunday (b) Friday (c) Saturday (d) Thursday
38. 38.What is the value of the digit 9 in 49.821? (a) 0.09 (b) 90 (c) 9 (d) 0.9
39. 39.Every pair follows the same rule: 2 : 10, 5 : 25, 6 : 30. What is 9 : ? (a) 45 (b) 44 (c) 17 (d) 46
40. 40.What is the simple interest on ₹8000 at 12% per year for 3 years? (a) ₹2880 (b) ₹3840 (c) ₹10880 (d) ₹960

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