Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 78 · 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.Which fraction is greater: 5/6 or 7/9? (a) 5/6 (b) They are equal (c) 7/9
2. 2.A teacher has 8 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 4 (c) 24 (d) 2
3. 3.Which is the greatest: 0.261, 0.35, 0.039, 0.3? (a) 0.261 (b) 0.35 (c) 0.039 (d) 0.3
4. 4.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 23 (c) 42 (d) 35
5. 5.What is 10% of 360? (a) 36 (b) 72 (c) 324 (d) 360
6. 6.Today is Tuesday. What day of the week will it be after 19 days? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
7. 7.If 8x + 1 = x + 57, what is x? (a) 8 (b) 10 (c) 7 (d) 9
8. 8.₹304 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹152 (b) ₹266 (c) ₹304 (d) ₹38
9. 9.What is 2/5 of 10? (a) 2 (b) 4 (c) 5 (d) 6
10. 10.What is 1/4 of 16? (a) 12 (b) 4 (c) 5 (d) 8
11. 11.₹3500 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹4550 (b) ₹4900 (c) ₹3850 (d) ₹1050
12. 12.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 1 day (b) 3 days (c) 12 days (d) 11 days
13. 13.If 3x + 6 = 2x + 17, what is x? (a) 12 (b) 13 (c) 11 (d) 23
14. 14.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 3 : ? (a) 5 (b) 7 (c) 9 (d) 6
15. 15.What is the remainder when 139 is divided by 5? (a) 3 (b) 4 (c) 1 (d) 2
16. 16.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 2 min (c) 120 min (d) 22 min
17. 17.Which is the smallest: 0.25, 0.2, 0.028, 0.121? (a) 0.25 (b) 0.2 (c) 0.028 (d) 0.121
18. 18.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 75 min (c) 375 min (d) 40 min
19. 19.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 36%
20. 20.3.67 + 3.4 = ? (a) 7.07 (b) 7.17 (c) 6.97 (d) 4.01
21. 21.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 168 (b) 252 (c) 33 (d) 84
22. 22.If 3x − 4 = 5, what is x? (a) 3 (b) 4 (c) 9 (d) 2
23. 23.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 108 cm (c) 42 cm (d) 33 cm
24. 24.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 2 cm
25. 25.If 8x + 2 = 2x + 50, what is x? (a) 10 (b) 9 (c) 7 (d) 8
26. 26.What is the value of the digit 4 in 42.176? (a) 4 (b) 0.04 (c) 40 (d) 0.4
27. 27.What is the value of the digit 5 in 26.753? (a) 5 (b) 0.005 (c) 0.5 (d) 0.05
28. 28.What is the average of all the whole numbers from 51 to 83? (a) 67 (b) 16 (c) 68 (d) 32
29. 29.₹114 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹114 (b) ₹19 (c) ₹57 (d) ₹95
30. 30.Every pair follows the same rule: 4 : 14, 6 : 16, 7 : 17. What is 2 : ? (a) 11 (b) 12 (c) 14 (d) 13
31. 31.₹7500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹8175 (b) ₹7950 (c) ₹7725 (d) ₹450
32. 32.Which fraction is greater: 4/11 or 5/6? (a) 5/6 (b) 4/11 (c) They are equal
33. 33.2/4 + 1/9 = ? (a) 23/36 (b) 3/13 (c) 7/12 (d) 11/18
34. 34.What is 2/7 of 49? (a) 21 (b) 35 (c) 14 (d) 7
35. 35.Which fraction is greater: 3/4 or 8/9? (a) 8/9 (b) They are equal (c) 3/4
36. 36.What is the average of all the whole numbers from 18 to 54? (a) 37 (b) 35 (c) 18 (d) 36
37. 37.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%
38. 38.The simple interest on ₹1500 for 3 years is ₹225. What is the rate per year? (a) 4% (b) 15% (c) 5% (d) 6%
39. 39.5.71 + 4.1 = ? (a) 6.12 (b) 9.91 (c) 9.71 (d) 9.81
40. 40.₹2000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹2560 (b) ₹2420 (c) ₹2140 (d) ₹420

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