Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 235 · 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.If 2x − 10 = 20, what is x? (a) 5 (b) 30 (c) 15 (d) 16
2. 2.If 10 August is a Thursday, what day of the week is 2 September? (a) Friday (b) Sunday (c) Monday (d) Saturday
3. 3.What is the value of the digit 5 in 41.579? (a) 0.5 (b) 5 (c) 0.05 (d) 0.005
4. 4.What is the value of the digit 1 in 43.817? (a) 0.001 (b) 1 (c) 0.01 (d) 0.1
5. 5.If 7x + 7 = 3x + 11, what is x? (a) 3 (b) 2 (c) 4 (d) 1
6. 6.₹147 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹21 (b) ₹126 (c) ₹147 (d) ₹127
7. 7.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 49 (b) 28 (c) 46 (d) 25
8. 8.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 2 min (c) 22 min (d) 56 min
9. 9.What is the simple interest on ₹4000 at 7% per year for 2 years? (a) ₹560 (b) ₹840 (c) ₹280 (d) ₹4560
10. 10.1/2 + 2/3 = ? (a) 3/5 (b) 1 (c) 7/6 (d) 4/3
11. 11.Every pair follows the same rule: 2 : 15, 5 : 18, 6 : 19. What is 3 : ? (a) 16 (b) 18 (c) 17 (d) 15
12. 12.The simple interest on ₹9000 for 2 years is ₹1260. What is the rate per year? (a) 6% (b) 8% (c) 14% (d) 7%
13. 13.If 9 May is a Monday, what day of the week is 18 May? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
14. 14.What is the smallest number you must add to 719 to make it divisible by 9? (a) 3 (b) 8 (c) 2 (d) 1
15. 15.If 5x + 18 = 78, what is x? (a) 13 (b) 11 (c) 12 (d) 60
16. 16.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 32 (c) 68 (d) 84
17. 17.Which fraction is greater: 1/8 or 2/9? (a) They are equal (b) 2/9 (c) 1/8
18. 18.What is the average of all the whole numbers from 7 to 23? (a) 14 (b) 8 (c) 15 (d) 16
19. 19.9.76 + 8.3 = ? (a) 10.59 (b) 17.96 (c) 18.16 (d) 18.06
20. 20.₹120 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹84 (b) ₹36 (c) ₹60 (d) ₹12
21. 21.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 52 cm (c) 120 cm (d) 26 cm
22. 22.What is the average of 33, 33, 40, 53, 44 and 79? (a) 46 (b) 49 (c) 47 (d) 48
23. 23.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 100 min (c) 500 min (d) 45 min
24. 24.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 36 (b) 21 (c) 72 (d) 108
25. 25.Which of these numbers is divisible by 3? (a) 152 (b) 148 (c) 147 (d) 145
26. 26.What is the average of all the whole numbers from 11 to 33? (a) 22 (b) 23 (c) 21 (d) 11
27. 27.Today is Monday. What day of the week will it be after 18 days? (a) Sunday (b) Friday (c) Saturday (d) Thursday
28. 28.What is the remainder when 611 is divided by 12? (a) 1 (b) 10 (c) 9 (d) 11
29. 29.If 29 January is a Sunday, what day of the week is 9 February? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
30. 30.Every pair follows the same rule: 6 : 36, 8 : 48, 9 : 54. What is 4 : ? (a) 23 (b) 34 (c) 24 (d) 25
31. 31.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 5 : ? (a) 125 (b) 5 (c) 164 (d) 126
32. 32.What is 10% of 460? (a) 46 (b) 414 (c) 92 (d) 460
33. 33.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 63 cm (c) 9 cm (d) 16 cm
34. 34.Which of these numbers is divisible by 8? (a) 2957 (b) 2942 (c) 2944 (d) 2950
35. 35.A shopkeeper buys a toy for ₹960 and sells it for ₹1344. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
36. 36.What is the smallest number you must add to 164 to make it divisible by 10? (a) 6 (b) 5 (c) 7 (d) 4
37. 37.₹4500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹4770 (b) ₹5310 (c) ₹5040 (d) ₹540
38. 38.Two ribbons are 40 cm and 72 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) 40 cm (c) 4 cm (d) 32 cm
39. 39.A teacher has 10 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 1 (c) 5 (d) 35
40. 40.What is 20% of 340? (a) 272 (b) 136 (c) 680 (d) 68

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