Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 159 · 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. 1.9.28 + 6.2 = ? (a) 15.48 (b) 9.9 (c) 15.38 (d) 15.58
2. 2.Every pair follows the same rule: 5 : 18, 6 : 19, 9 : 22. What is 8 : ? (a) 20 (b) 22 (c) 21 (d) 23
3. 3.A teacher has 84 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 84 (c) 672 (d) 6
4. 4.What is 5/6 of 60? (a) 10 (b) 51 (c) 50 (d) 60
5. 5.Every pair follows the same rule: 6 : 36, 7 : 49, 9 : 81. What is 8 : ? (a) 65 (b) 48 (c) 38 (d) 64
6. 6.What is 5% of 380? (a) 361 (b) 19 (c) 190 (d) 38
7. 7.Which of these numbers is divisible by 8? (a) 1278 (b) 1258 (c) 1265 (d) 1264
8. 8.If 6x − 26 = 10, what is x? (a) 7 (b) 6 (c) 36 (d) 5
9. 9.If 4 October is a Thursday, what day of the week is 12 October? (a) Friday (b) Thursday (c) Sunday (d) Saturday
10. 10.If 6x + 29 = 95, what is x? (a) 66 (b) 12 (c) 11 (d) 10
11. 11.What is the simple interest on ₹2500 at 10% per year for 2 years? (a) ₹500 (b) ₹750 (c) ₹250 (d) ₹3000
12. 12.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 35 (b) 17 (c) 14 (d) 15
13. 13.What is the simple interest on ₹9000 at 7% per year for 2 years? (a) ₹10260 (b) ₹1890 (c) ₹630 (d) ₹1260
14. 14.₹1000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹1020 (b) ₹1040 (c) ₹1060 (d) ₹40
15. 15.If 20 August is a Monday, what day of the week is 16 September? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
16. 16.Today is Saturday. What day of the week will it be after 28 days? (a) Saturday (b) Friday (c) Sunday (d) Monday
17. 17.If 5x + 8 = 23, what is x? (a) 3 (b) 2 (c) 15 (d) 4
18. 18.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 12 cm (c) 6 cm (d) 7 cm
19. 19.₹7000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹7840 (b) ₹8680 (c) ₹1680 (d) ₹9520
20. 20.What is 15% of 400? (a) 120 (b) 340 (c) 60 (d) 600
21. 21.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 13 days (c) 3 days (d) 27 days
22. 22.The simple interest on ₹2000 for 4 years is ₹880. What is the rate per year? (a) 44% (b) 10% (c) 11% (d) 12%
23. 23.2.06 + 3.3 = ? (a) 5.46 (b) 5.26 (c) 2.39 (d) 5.36
24. 24.What is the average of all the whole numbers from 19 to 47? (a) 34 (b) 28 (c) 33 (d) 14
25. 25.Which fraction is greater: 3/11 or 2/3? (a) They are equal (b) 2/3 (c) 3/11
26. 26.Every pair follows the same rule: 2 : 17, 3 : 18, 5 : 20. What is 6 : ? (a) 22 (b) 20 (c) 23 (d) 21
27. 27.1/3 + 7/8 = ? (a) 7/6 (b) 29/24 (c) 5/4 (d) 8/11
28. 28.What is the average of all the whole numbers from 58 to 78? (a) 69 (b) 68 (c) 20 (d) 10
29. 29.A shopkeeper buys a toy for ₹540 and sells it for ₹675. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
30. 30.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 36 min (c) 3 min (d) 108 min
31. 31.If 12 March is a Sunday, what day of the week is 22 March? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
32. 32.What is 1/5 of 60? (a) 48 (b) 12 (c) 24 (d) 13
33. 33.What is 2/3 of 27? (a) 19 (b) 9 (c) 18 (d) 27
34. 34.₹8500 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹9690 (b) ₹9095 (c) ₹1190 (d) ₹10285
35. 35.If 4x + 27 = 83, what is x? (a) 15 (b) 13 (c) 14 (d) 56
36. 36.What is the average of all the whole numbers from 20 to 36? (a) 29 (b) 8 (c) 28 (d) 16
37. 37.The simple interest on ₹6500 for 4 years is ₹520. What is the rate per year? (a) 8% (b) 1% (c) 2% (d) 3%
38. 38.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 25 min (b) 30 min (c) 5 min (d) 150 min
39. 39.Which is the greatest: 0.734, 0.8, 0.037, 0.81? (a) 0.734 (b) 0.8 (c) 0.037 (d) 0.81
40. 40.If 7x + 6 = 41, what is x? (a) 4 (b) 5 (c) 6 (d) 35

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