Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 452 · 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.Every pair follows the same rule: 5 : 28, 7 : 52, 8 : 67. What is 4 : ? (a) 19 (b) 20 (c) 27 (d) 7
2. 2.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 88%
3. 3.Every pair follows the same rule: 3 : 15, 4 : 16, 8 : 20. What is 2 : ? (a) 10 (b) 15 (c) 13 (d) 14
4. 4.Which is the greatest: 0.022, 0.71, 0.7, 0.658? (a) 0.022 (b) 0.71 (c) 0.7 (d) 0.658
5. 5.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 360 (b) 120 (c) 60 (d) 42
6. 6.A teacher has 14 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 21 (c) 7 (d) 14
7. 7.Which is the greatest: 0.018, 0.171, 0.29, 0.2? (a) 0.018 (b) 0.171 (c) 0.29 (d) 0.2
8. 8.A shopkeeper buys a toy for ₹480 and sells it for ₹528. What is his profit percent? (a) 5% (b) 10% (c) 48% (d) 15%
9. 9.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 35 sq cm (d) 11 sq cm
10. 10.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 16 sq cm (c) 55 sq cm (d) 32 sq cm
11. 11.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 48 cm (c) 6 cm (d) 10 cm
12. 12.Every pair follows the same rule: 2 : 6, 3 : 8, 8 : 18. What is 6 : ? (a) 10 (b) 15 (c) 14 (d) 18
13. 13.What is the value of the digit 6 in 52.786? (a) 0.6 (b) 0.006 (c) 6 (d) 0.06
14. 14.What is the units digit of 9^45? (a) 7 (b) 8 (c) 9 (d) 1
15. 15.What is the value of the digit 3 in 53.182? (a) 0.3 (b) 0.03 (c) 30 (d) 3
16. 16.If x/2 + 9 = 20, what is x? (a) 11 (b) 31 (c) 22 (d) 58
17. 17.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 47 (b) 27 (c) 31 (d) 24
18. 18.What is the average of all the whole numbers from 15 to 29? (a) 7 (b) 22 (c) 14 (d) 23
19. 19.Which fraction is greater: 2/3 or 1/5? (a) 2/3 (b) 1/5 (c) They are equal
20. 20.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
21. 21.2.41 + 7.1 = ? (a) 9.61 (b) 3.12 (c) 9.51 (d) 9.41
22. 22.Which fraction is greater: 2/7 or 3/5? (a) They are equal (b) 2/7 (c) 3/5
23. 23.A shopkeeper buys a toy for ₹380 and sells it for ₹266. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
24. 24.What is 5% of 600? (a) 30 (b) 300 (c) 570 (d) 60
25. 25.Which is the smallest: 0.326, 0.4, 0.43, 0.063? (a) 0.326 (b) 0.4 (c) 0.43 (d) 0.063
26. 26.In how many years will ₹1000 earn ₹240 simple interest at 8% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
27. 27.If 3 March is a Wednesday, what day of the week is 12 March? (a) Saturday (b) Friday (c) Thursday (d) Sunday
28. 28.Two ribbons are 9 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 3 cm (c) 1 cm (d) 9 cm
29. 29.What is the value of the digit 6 in 68.293? (a) 0.06 (b) 0.6 (c) 60 (d) 6
30. 30.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 140 (b) 48 (c) 280 (d) 560
31. 31.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 46 (b) 42 (c) 62 (d) 24
32. 32.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 55 min (c) 700 min (d) 5 min
33. 33.A bag marked ₹960 is sold at a 20% discount. What is its selling price? (a) ₹1152 (b) ₹940 (c) ₹768 (d) ₹192
34. 34.A bag marked ₹1100 is sold at a 50% discount. What is its selling price? (a) ₹1650 (b) ₹551 (c) ₹550 (d) ₹1050
35. 35.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 32 (b) 83 (c) 40 (d) 31
36. 36.What is the units digit of 9^33? (a) 9 (b) 7 (c) 1 (d) 8
37. 37.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 8 cm (c) 16 cm (d) 9 cm
38. 38.What is the smallest number you must add to 291 to make it divisible by 9? (a) 5 (b) 3 (c) 7 (d) 6
39. 39.What is the value of the digit 9 in 14.259? (a) 0.09 (b) 0.009 (c) 9 (d) 0.9
40. 40.₹6500 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹8060 (b) ₹1560 (c) ₹8450 (d) ₹6890

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