Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 130 · 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.₹3000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹3480 (b) ₹3120 (c) ₹360 (d) ₹3360
2. 2.2/6 + 2/3 = ? (a) 1 (b) 4/9 (c) 5/6 (d) 7/6
3. 3.What is 1/4 of 40? (a) 20 (b) 30 (c) 10 (d) 11
4. 4.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 104 sq cm (d) 117 sq cm
5. 5.What is 3/7 of 21? (a) 10 (b) 3 (c) 12 (d) 9
6. 6.Every pair follows the same rule: 2 : 2, 7 : 47, 8 : 62. What is 4 : ? (a) 15 (b) 14 (c) 4 (d) 2
7. 7.Which fraction is greater: 1/6 or 1/7? (a) 1/6 (b) 1/7 (c) They are equal
8. 8.If 9x + 3 = 8x + 4, what is x? (a) 7 (b) 3 (c) 2 (d) 1
9. 9.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 12 days (d) 8 days
10. 10.Two ribbons are 30 cm and 35 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) 210 cm (c) 1 cm (d) 30 cm
11. 11.What is the units digit of 7^37? (a) 7 (b) 3 (c) 9 (d) 1
12. 12.A shopkeeper buys a toy for ₹140 and sells it for ₹147. What is his profit percent? (a) 7% (b) 6% (c) 5% (d) 10%
13. 13.If 8x − 11 = 29, what is x? (a) 6 (b) 40 (c) 5 (d) 4
14. 14.Every pair follows the same rule: 3 : 17, 4 : 24, 5 : 33. What is 7 : ? (a) 51 (b) 58 (c) 21 (d) 57
15. 15.2/8 + 3/8 = ? (a) 5/16 (b) 1/2 (c) 5/8 (d) 3/4
16. 16.If 18 May is a Sunday, what day of the week is 17 June? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
17. 17.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 7 : ? (a) 49 (b) 9 (c) 14 (d) 53
18. 18.Two ribbons are 8 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 2 cm (c) 4 cm (d) 20 cm
19. 19.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 700 (b) 55 (c) 140 (d) 280
20. 20.Every pair follows the same rule: 5 : 25, 6 : 36, 8 : 64. What is 3 : ? (a) 23 (b) 9 (c) 10 (d) 15
21. 21.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 2 days (d) 1 day
22. 22.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 2 days (c) 9 days (d) 8 days
23. 23.The simple interest on ₹7500 for 2 years is ₹750. What is the rate per year? (a) 5% (b) 10% (c) 4% (d) 6%
24. 24.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 320 (b) 80 (c) 160 (d) 36
25. 25.What is 25% of 940? (a) 235 (b) 705 (c) 2350 (d) 470
26. 26.If 6 May is a Tuesday, what day of the week is 19 May? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
27. 27.A shopkeeper buys a toy for ₹960 and sells it for ₹1104. What is his profit percent? (a) 20% (b) 15% (c) 16% (d) 10%
28. 28.What is the value of the digit 1 in 43.168? (a) 0.01 (b) 0.001 (c) 0.1 (d) 1
29. 29.A teacher has 28 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 2 (c) 8 (d) 4
30. 30.What is the simple interest on ₹6000 at 6% per year for 2 years? (a) ₹360 (b) ₹720 (c) ₹6720 (d) ₹1080
31. 31.Today is Wednesday. What day of the week will it be after 17 days? (a) Sunday (b) Friday (c) Monday (d) Saturday
32. 32.₹180 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹75 (b) ₹15 (c) ₹105 (d) ₹90
33. 33.What is the remainder when 664 is divided by 12? (a) 5 (b) 3 (c) 8 (d) 4
34. 34.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 42 (b) 72 (c) 432 (d) 144
35. 35.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
36. 36.What is the remainder when 227 is divided by 3? (a) 0 (b) 1 (c) 2
37. 37.2/3 + 7/8 = ? (a) 3/2 (b) 19/12 (c) 9/11 (d) 37/24
38. 38.If x/6 + 9 = 11, what is x? (a) 57 (b) 2 (c) 120 (d) 12
39. 39.What is the average of all the whole numbers from 25 to 33? (a) 30 (b) 29 (c) 4 (d) 8
40. 40.What is 5% of 460? (a) 23 (b) 46 (c) 437 (d) 230

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