Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 987 · 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.What is the value of the digit 1 in 21.493? (a) 0.1 (b) 0.01 (c) 1 (d) 10
2. 2.6 workers can build a wall in 12 days. How many days will 9 workers take, working at the same speed? (a) 15 days (b) 18 days (c) 9 days (d) 8 days
3. 3.1.77 + 8.1 = ? (a) 9.87 (b) 2.58 (c) 9.77 (d) 9.97
4. 4.What is 3/7 of 70? (a) 30 (b) 31 (c) 40 (d) 10
5. 5.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 6 min (c) 360 min (d) 60 min
6. 6.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 45 sq cm (c) 17 sq cm (d) 30 sq cm
7. 7.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 30 sq cm (c) 15 sq cm (d) 39 sq cm
8. 8.A teacher has 25 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 150 (c) 5 (d) 25
9. 9.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 10 cm (c) 117 cm (d) 11 cm
10. 10.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 108 sq cm (c) 90 sq cm (d) 46 sq cm
11. 11.What is the average of 75, 67, 89 and 65? (a) 76 (b) 75 (c) 73 (d) 74
12. 12.What is the units digit of 2^43? (a) 8 (b) 6 (c) 2 (d) 4
13. 13.What is the simple interest on ₹10000 at 8% per year for 5 years? (a) ₹800 (b) ₹14000 (c) ₹4800 (d) ₹4000
14. 14.What is the units digit of 9^50? (a) 1 (b) 2 (c) 0 (d) 9
15. 15.₹350 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹250 (b) ₹100 (c) ₹50 (d) ₹175
16. 16.A shopkeeper buys a toy for ₹400 and sells it for ₹440. What is his profit percent? (a) 5% (b) 40% (c) 15% (d) 10%
17. 17.Which fraction is greater: 1/3 or 3/5? (a) 1/3 (b) They are equal (c) 3/5
18. 18.Which is the greatest: 0.2, 0.024, 0.23, 0.132? (a) 0.2 (b) 0.024 (c) 0.23 (d) 0.132
19. 19.Today is Thursday. What day of the week will it be after 88 days? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
20. 20.What is the average of all the whole numbers from 43 to 63? (a) 54 (b) 53 (c) 10 (d) 20
21. 21.The simple interest on ₹6500 for 3 years is ₹1365. What is the rate per year? (a) 8% (b) 7% (c) 21% (d) 6%
22. 22.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 54%
23. 23.Today is Wednesday. What day of the week will it be after 12 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
24. 24.Which is the smallest: 0.83, 0.8, 0.076, 0.749? (a) 0.83 (b) 0.8 (c) 0.076 (d) 0.749
25. 25.Two ribbons are 36 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) 36 cm (d) 27 cm
26. 26.A shopkeeper buys a toy for ₹420 and sells it for ₹357. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 63%
27. 27.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 31 (b) 14 (c) 6 (d) 5
28. 28.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
29. 29.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 162 cm
30. 30.If 9x + 7 = 43, what is x? (a) 36 (b) 3 (c) 4 (d) 5
31. 31.Every pair follows the same rule: 2 : 5, 7 : 10, 9 : 12. What is 3 : ? (a) 8 (b) 5 (c) 6 (d) 7
32. 32.1.13 + 2.5 = ? (a) 1.38 (b) 3.73 (c) 3.63 (d) 3.53
33. 33.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 43 (b) 28 (c) 19 (d) 34
34. 34.What is the average of 59, 80, 60, 81 and 50? (a) 68 (b) 67 (c) 65 (d) 66
35. 35.₹517 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹282 (b) ₹47 (c) ₹329 (d) ₹235
36. 36.Today is Monday. What day of the week will it be after 86 days? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
37. 37.What is 6/7 of 63? (a) 54 (b) 55 (c) 9 (d) 63
38. 38.Which is the smallest: 0.188, 0.083, 0.2, 0.22? (a) 0.188 (b) 0.083 (c) 0.2 (d) 0.22
39. 39.What is the value of the digit 4 in 74.521? (a) 4 (b) 0.4 (c) 0.04 (d) 40
40. 40.What is 3/5 of 30? (a) 24 (b) 18 (c) 6 (d) 12

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