Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 765 · 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 rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 13 cm (c) 26 cm (d) 23 cm
2. 2.If 14 July is a Sunday, what day of the week is 29 July? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
3. 3.Every pair follows the same rule: 2 : 10, 3 : 15, 7 : 35. What is 8 : ? (a) 40 (b) 39 (c) 41 (d) 16
4. 4.If 25 April is a Tuesday, what day of the week is 12 May? (a) Thursday (b) Friday (c) Sunday (d) Saturday
5. 5.A shopkeeper buys a toy for ₹100 and sells it for ₹75. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
6. 6.A shopkeeper buys a toy for ₹960 and sells it for ₹1152. What is his profit percent? (a) 20% (b) 15% (c) 21% (d) 25%
7. 7.If 15 January is a Wednesday, what day of the week is 13 February? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
8. 8.Which fraction is greater: 2/5 or 1/10? (a) They are equal (b) 2/5 (c) 1/10
9. 9.₹266 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹133 (b) ₹38 (c) ₹152 (d) ₹114
10. 10.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) 2 min (b) 80 min (c) 18 min (d) 40 min
11. 11.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 10% (b) 12% (c) 6% (d) 5%
12. 12.Every pair follows the same rule: 3 : 7, 7 : 47, 8 : 62. What is 6 : ? (a) 35 (b) 32 (c) 34 (d) 10
13. 13.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 5 days (d) 9 days
14. 14.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 16 days (c) 4 days (d) 10 days
15. 15.Which is the smallest: 0.023, 0.7, 0.76, 0.693? (a) 0.023 (b) 0.7 (c) 0.76 (d) 0.693
16. 16.What is the smallest number you must add to 697 to make it divisible by 9? (a) 4 (b) 6 (c) 7 (d) 5
17. 17.Two ribbons are 18 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 9 cm (c) 45 cm (d) 18 cm
18. 18.Every pair follows the same rule: 5 : 28, 6 : 39, 7 : 52. What is 4 : ? (a) 27 (b) 20 (c) 19 (d) 13
19. 19.If 2 kites cost ₹12, how much do 10 kites cost? (a) ₹20 (b) ₹120 (c) ₹66 (d) ₹60
20. 20.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 64 sq cm (d) 260 sq cm
21. 21.Every pair follows the same rule: 2 : 17, 6 : 21, 9 : 24. What is 8 : ? (a) 24 (b) 23 (c) 22 (d) 25
22. 22.₹308 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹28 (b) ₹154 (c) ₹168 (d) ₹140
23. 23.3 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 8 days (d) 12 days
24. 24.If 6 mangoes cost ₹114, how much do 9 mangoes cost? (a) ₹190 (b) ₹1026 (c) ₹171 (d) ₹117
25. 25.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 448 min (b) 44 min (c) 4 min (d) 112 min
26. 26.What is the units digit of 4^30? (a) 4 (b) 7 (c) 5 (d) 6
27. 27.A shopkeeper buys a toy for ₹360 and sells it for ₹270. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 90%
28. 28.What is the smallest number you must add to 89 to make it divisible by 7? (a) 1 (b) 3 (c) 5 (d) 2
29. 29.Which fraction is greater: 9/10 or 1/6? (a) 1/6 (b) 9/10 (c) They are equal
30. 30.Which fraction is greater: 1/7 or 5/12? (a) They are equal (b) 5/12 (c) 1/7
31. 31.A teacher has 12 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 15 (c) 1 (d) 12
32. 32.What is 7/8 of 64? (a) 56 (b) 57 (c) 8 (d) 64
33. 33.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 37 (b) 45 (c) 93 (d) 36
34. 34.Two ribbons are 27 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 27 cm (c) 3 cm (d) 45 cm
35. 35.8 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 7 days (d) 8 days
36. 36.Today is Saturday. What day of the week will it be after 70 days? (a) Sunday (b) Monday (c) Friday (d) Saturday
37. 37.What is the average of all the whole numbers from 15 to 53? (a) 38 (b) 35 (c) 19 (d) 34
38. 38.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 24 (c) 12 (d) 13
39. 39.Every pair follows the same rule: 3 : 10, 4 : 11, 9 : 16. What is 7 : ? (a) 14 (b) 15 (c) 13 (d) 16
40. 40.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm

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