Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 739 · 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 is the smallest: 0.237, 0.097, 0.3, 0.37? (a) 0.237 (b) 0.097 (c) 0.3 (d) 0.37
2. 2.6.95 + 9.6 = ? (a) 16.45 (b) 16.55 (c) 7.91 (d) 16.65
3. 3.Every pair follows the same rule: 2 : 6, 5 : 12, 7 : 16. What is 6 : ? (a) 14 (b) 15 (c) 18 (d) 10
4. 4.If 4x + 12 = x + 39, what is x? (a) 17 (b) 10 (c) 9 (d) 11
5. 5.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 27 (b) 7 (c) 6 (d) 13
6. 6.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 6 cm (c) 70 cm (d) 12 cm
7. 7.What is 25% of 60? (a) 45 (b) 150 (c) 30 (d) 15
8. 8.If 30 January is a Thursday, what day of the week is 20 February? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
9. 9.If 8x + 7 = 87, what is x? (a) 80 (b) 9 (c) 11 (d) 10
10. 10.The simple interest on ₹2500 for 3 years is ₹900. What is the rate per year? (a) 11% (b) 13% (c) 12% (d) 36%
11. 11.If 7x + 17 = 5x + 31, what is x? (a) 7 (b) 9 (c) 24 (d) 8
12. 12.If x/2 + 12 = 20, what is x? (a) 64 (b) 16 (c) 28 (d) 8
13. 13.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 68 (b) 28 (c) 44 (d) 84
14. 14.If 6x − 24 = 66, what is x? (a) 90 (b) 15 (c) 16 (d) 7
15. 15.₹4000 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹4480 (b) ₹5440 (c) ₹5920 (d) ₹1440
16. 16.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
17. 17.What is the average of all the whole numbers from 49 to 89? (a) 20 (b) 40 (c) 69 (d) 70
18. 18.If 7x − 22 = 62, what is x? (a) 11 (b) 84 (c) 12 (d) 13
19. 19.A shopkeeper buys a toy for ₹840 and sells it for ₹924. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 84%
20. 20.In how many years will ₹2000 earn ₹480 simple interest at 6% per year? (a) 4 years (b) 5 years (c) 3 years (d) 8 years
21. 21.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 720 min (c) 54 min (d) 120 min
22. 22.What is the smallest number you must add to 367 to make it divisible by 5? (a) 2 (b) 3 (c) 4 (d) 1
23. 23.₹5000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹5600 (b) ₹600 (c) ₹5800 (d) ₹5200
24. 24.Every pair follows the same rule: 7 : 56, 8 : 64, 9 : 72. What is 2 : ? (a) 51 (b) 15 (c) 17 (d) 16
25. 25.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 28 (b) 20 (c) 26 (d) 44
26. 26.The simple interest on ₹2500 for 4 years is ₹300. What is the rate per year? (a) 2% (b) 12% (c) 4% (d) 3%
27. 27.8.21 + 3.3 = ? (a) 11.41 (b) 11.61 (c) 8.54 (d) 11.51
28. 28.If 8x + 10 = 74, what is x? (a) 64 (b) 8 (c) 9 (d) 7
29. 29.What is the simple interest on ₹7500 at 10% per year for 2 years? (a) ₹1500 (b) ₹2250 (c) ₹750 (d) ₹9000
30. 30.A shopkeeper buys a toy for ₹660 and sells it for ₹990. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
31. 31.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 45 days (b) 9 days (c) 5 days (d) 21 days
32. 32.3 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 16 days (c) 4 days (d) 11 days
33. 33.What is the value of the digit 1 in 71.342? (a) 0.1 (b) 0.01 (c) 10 (d) 1
34. 34.Today is Sunday. What day of the week will it be after 18 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
35. 35.In how many years will ₹1000 earn ₹80 simple interest at 4% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
36. 36.What is the smallest number you must add to 959 to make it divisible by 12? (a) 3 (b) 1 (c) 11 (d) 2
37. 37.If x/6 + 4 = 8, what is x? (a) 4 (b) 44 (c) 72 (d) 24
38. 38.If 9x + 18 = 108, what is x? (a) 14 (b) 11 (c) 90 (d) 10
39. 39.₹506 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹138 (b) ₹46 (c) ₹253 (d) ₹368
40. 40.If x/2 + 15 = 22, what is x? (a) 7 (b) 29 (c) 74 (d) 14

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