Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 129 · 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.A shopkeeper buys a toy for ₹320 and sells it for ₹256. What is his loss percent? (a) 15% (b) 64% (c) 25% (d) 20%
2. 2.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 6 : ? (a) 217 (b) 216 (c) 6 (d) 164
3. 3.If 9 October is a Wednesday, what day of the week is 17 October? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
4. 4.If 6 August is a Monday, what day of the week is 19 August? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
5. 5.3.33 + 2.3 = ? (a) 5.63 (b) 3.56 (c) 5.53 (d) 5.73
6. 6.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
7. 7.A shopkeeper buys a toy for ₹140 and sells it for ₹161. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 10%
8. 8.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 39 days (b) 40 days (c) 17 days (d) 9 days
9. 9.If 7x + 2 = 2x + 52, what is x? (a) 10 (b) 12 (c) 9 (d) 11
10. 10.5.88 + 8.2 = ? (a) 6.7 (b) 14.08 (c) 14.18 (d) 13.98
11. 11.3/4 + 2/4 = ? (a) 5/8 (b) 3/2 (c) 5/4 (d) 1
12. 12.₹4000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹1800 (b) ₹6160 (c) ₹5800 (d) ₹4360
13. 13.What is the average of all the whole numbers from 41 to 55? (a) 14 (b) 48 (c) 49 (d) 7
14. 14.If 19 June is a Friday, what day of the week is 1 July? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
15. 15.What is the average of 46, 50, 54, 46, 67 and 97? (a) 60 (b) 61 (c) 72 (d) 59
16. 16.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 13 days (c) 4 days (d) 25 days
17. 17.What is the average of all the whole numbers from 60 to 82? (a) 72 (b) 71 (c) 11 (d) 22
18. 18.A teacher has 45 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 45 (b) 27 (c) 3 (d) 9
19. 19.If 3 mangoes cost ₹9, how much do 11 mangoes cost? (a) ₹17 (b) ₹99 (c) ₹36 (d) ₹33
20. 20.What is 3/7 of 21? (a) 9 (b) 3 (c) 12 (d) 10
21. 21.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 13 days (c) 17 days (d) 9 days
22. 22.5.65 + 6.1 = ? (a) 11.85 (b) 11.75 (c) 11.65 (d) 6.26
23. 23.Which fraction is greater: 4/7 or 2/3? (a) 4/7 (b) 2/3 (c) They are equal
24. 24.What is the smallest number you must add to 774 to make it divisible by 10? (a) 7 (b) 5 (c) 6 (d) 4
25. 25.A teacher has 30 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 5 (c) 10 (d) 30
26. 26.If 9x + 20 = 74, what is x? (a) 54 (b) 5 (c) 6 (d) 7
27. 27.If 4x + 15 = 2x + 31, what is x? (a) 23 (b) 10 (c) 8 (d) 9
28. 28.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 21 (b) 58 (c) 61 (d) 76
29. 29.Two ribbons are 30 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 40 cm (c) 10 cm (d) 5 cm
30. 30.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
31. 31.Which is the greatest: 0.283, 0.3, 0.34, 0.096? (a) 0.283 (b) 0.3 (c) 0.34 (d) 0.096
32. 32.What is the remainder when 130 is divided by 11? (a) 8 (b) 10 (c) 9 (d) 2
33. 33.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
34. 34.If 8x + 9 = 4x + 13, what is x? (a) 2 (b) 3 (c) 1 (d) 4
35. 35.Two ribbons are 40 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 40 cm (c) 10 cm (d) 200 cm
36. 36.What is the value of the digit 6 in 16.572? (a) 6 (b) 60 (c) 0.6 (d) 0.06
37. 37.Every pair follows the same rule: 2 : 18, 6 : 54, 7 : 63. What is 3 : ? (a) 19 (b) 27 (c) 26 (d) 28
38. 38.Today is Monday. What day of the week will it be after 88 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
39. 39.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 65 (b) 4 (c) 64 (d) 86
40. 40.Today is Friday. What day of the week will it be after 16 days? (a) Sunday (b) Saturday (c) Monday (d) Tuesday

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