Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 705 · 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.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 44 (b) 58 (c) 86 (d) 16
2. 2.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 168 (b) 84 (c) 504 (d) 54
3. 3.Every pair follows the same rule: 3 : 7, 4 : 14, 6 : 34. What is 9 : ? (a) 13 (b) 80 (c) 79 (d) 64
4. 4.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 4 cm (d) 6 cm
5. 5.Which is the greatest: 0.2, 0.038, 0.193, 0.21? (a) 0.2 (b) 0.038 (c) 0.193 (d) 0.21
6. 6.What is the value of the digit 9 in 83.916? (a) 9 (b) 0.009 (c) 0.9 (d) 0.09
7. 7.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
8. 8.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 30 (c) 126 (d) 63
9. 9.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
10. 10.₹195 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹39 (b) ₹78 (c) ₹117 (d) ₹156
11. 11.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 9%
12. 12.Today is Wednesday. What day of the week will it be after 31 days? (a) Sunday (b) Friday (c) Saturday (d) Monday
13. 13.If 5x + 13 = 4x + 24, what is x? (a) 11 (b) 13 (c) 12 (d) 37
14. 14.What is the units digit of 3^25? (a) 1 (b) 3 (c) 7 (d) 9
15. 15.Today is Wednesday. What day of the week will it be after 47 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
16. 16.If x/4 + 3 = 11, what is x? (a) 41 (b) 8 (c) 32 (d) 56
17. 17.In how many years will ₹3000 earn ₹840 simple interest at 7% per year? (a) 8 years (b) 4 years (c) 3 years (d) 5 years
18. 18.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 46 cm (c) 90 cm (d) 23 cm
19. 19.Every pair follows the same rule: 6 : 16, 7 : 18, 9 : 22. What is 8 : ? (a) 19 (b) 20 (c) 21 (d) 18
20. 20.₹7000 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹11200 (b) ₹3360 (c) ₹7840 (d) ₹10360
21. 21.Every pair follows the same rule: 2 : 11, 5 : 14, 9 : 18. What is 7 : ? (a) 17 (b) 15 (c) 16 (d) 18
22. 22.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 30 min (c) 216 min (d) 36 min
23. 23.What is the remainder when 106 is divided by 3? (a) 1 (b) 0 (c) 2
24. 24.₹84 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹30 (b) ₹6 (c) ₹54 (d) ₹42
25. 25.If 2 October is a Wednesday, what day of the week is 14 October? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
26. 26.If 3x + 28 = 37, what is x? (a) 4 (b) 2 (c) 3 (d) 9
27. 27.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 24 min (c) 45 min (d) 135 min
28. 28.What is the average of 38, 37, 32, 58, 46 and 53? (a) 45 (b) 46 (c) 43 (d) 44
29. 29.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
30. 30.If 2x + 29 = 45, what is x? (a) 8 (b) 16 (c) 9 (d) 37
31. 31.If 6x + 23 = 95, what is x? (a) 72 (b) 11 (c) 13 (d) 12
32. 32.A bag marked ₹800 is sold at a 10% discount. What is its selling price? (a) ₹720 (b) ₹880 (c) ₹80 (d) ₹790
33. 33.A teacher has 44 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 44 (c) 11 (d) 220
34. 34.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 34 cm (d) 84 cm
35. 35.What is the simple interest on ₹4000 at 2% per year for 2 years? (a) ₹240 (b) ₹160 (c) ₹80 (d) ₹4160
36. 36.What is the simple interest on ₹4000 at 12% per year for 2 years? (a) ₹960 (b) ₹480 (c) ₹1440 (d) ₹4960
37. 37.What is the average of all the whole numbers from 54 to 76? (a) 66 (b) 65 (c) 22 (d) 11
38. 38.If 5x + 4 = 3x + 14, what is x? (a) 9 (b) 6 (c) 5 (d) 7
39. 39.Every pair follows the same rule: 2 : 1, 3 : 6, 5 : 22. What is 4 : ? (a) 14 (b) 15 (c) 12 (d) 13
40. 40.₹1500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹1740 (b) ₹1560 (c) ₹1800 (d) ₹240

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