Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 488 · 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 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 47 cm (d) 198 cm
2. 2.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 20 (b) 24 (c) 48 (d) 96
3. 3.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 4 min (c) 28 min (d) 192 min
4. 4.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 5 (b) 21 (c) 6 (d) 10
5. 5.Which fraction is greater: 1/3 or 2/7? (a) 1/3 (b) 2/7 (c) They are equal
6. 6.If 9 notebooks cost ₹27, how much do 12 notebooks cost? (a) ₹30 (b) ₹39 (c) ₹36 (d) ₹324
7. 7.Which is the smallest: 0.151, 0.29, 0.043, 0.2? (a) 0.151 (b) 0.29 (c) 0.043 (d) 0.2
8. 8.What is 1/3 of 6? (a) 1 (b) 4 (c) 3 (d) 2
9. 9.Every pair follows the same rule: 2 : 11, 5 : 32, 6 : 43. What is 9 : ? (a) 88 (b) 76 (c) 18 (d) 89
10. 10.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 4 : ? (a) 10 (b) 64 (c) 34 (d) 16
11. 11.What is the simple interest on ₹3500 at 9% per year for 2 years? (a) ₹315 (b) ₹4130 (c) ₹630 (d) ₹945
12. 12.If 11 March is a Thursday, what day of the week is 1 April? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
13. 13.Which is the smallest: 0.29, 0.062, 0.2, 0.171? (a) 0.29 (b) 0.062 (c) 0.2 (d) 0.171
14. 14.What is 1/4 of 44? (a) 12 (b) 22 (c) 11 (d) 33
15. 15.1.09 + 3.1 = ? (a) 1.4 (b) 4.29 (c) 4.09 (d) 4.19
16. 16.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 42 sq cm (d) 117 sq cm
17. 17.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 30 cm (c) 26 cm (d) 23 cm
18. 18.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 17 days (c) 26 days (d) 27 days
19. 19.Every pair follows the same rule: 2 : 13, 3 : 18, 7 : 58. What is 4 : ? (a) 28 (b) 26 (c) 15 (d) 25
20. 20.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 96 min (c) 4 min (d) 24 min
21. 21.Every pair follows the same rule: 5 : 17, 7 : 19, 8 : 20. What is 3 : ? (a) 16 (b) 17 (c) 15 (d) 14
22. 22.If 9x + 3 = x + 27, what is x? (a) 5 (b) 3 (c) 2 (d) 4
23. 23.If 2x − 2 = 28, what is x? (a) 13 (b) 30 (c) 15 (d) 16
24. 24.A teacher has 35 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 280 (b) 5 (c) 35 (d) 1
25. 25.What is 10% of 260? (a) 234 (b) 26 (c) 52 (d) 260
26. 26.What is 2/9 of 72? (a) 8 (b) 24 (c) 56 (d) 16
27. 27.Every pair follows the same rule: 2 : 4, 3 : 6, 9 : 18. What is 7 : ? (a) 15 (b) 14 (c) 9 (d) 13
28. 28.Today is Saturday. What day of the week will it be after 22 days? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
29. 29.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 90 (c) 42 (d) 60
30. 30.Which is the smallest: 0.272, 0.3, 0.38, 0.038? (a) 0.272 (b) 0.3 (c) 0.38 (d) 0.038
31. 31.If 5x − 47 = 28, what is x? (a) 75 (b) 15 (c) 14 (d) 16
32. 32.Which of these numbers is divisible by 11? (a) 9067 (b) 9062 (c) 9085 (d) 9064
33. 33.Every pair follows the same rule: 3 : 14, 6 : 17, 7 : 18. What is 4 : ? (a) 16 (b) 14 (c) 15 (d) 17
34. 34.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 63 sq cm (d) 54 sq cm
35. 35.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 60 sq cm (c) 19 sq cm (d) 38 sq cm
36. 36.₹5500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹5775 (b) ₹1100 (c) ₹6600 (d) ₹6875
37. 37.A bag marked ₹500 is sold at a 20% discount. What is its selling price? (a) ₹400 (b) ₹480 (c) ₹600 (d) ₹100
38. 38.₹9500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹10925 (b) ₹1140 (c) ₹10640 (d) ₹9785
39. 39.4/6 + 1/5 = ? (a) 5/6 (b) 9/10 (c) 5/11 (d) 13/15
40. 40.Which fraction is greater: 6/11 or 5/12? (a) They are equal (b) 5/12 (c) 6/11

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