Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 871 · 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 9x − 44 = 91, what is x? (a) 14 (b) 15 (c) 135 (d) 16
2. 2.Which is the greatest: 0.5, 0.52, 0.412, 0.077? (a) 0.5 (b) 0.52 (c) 0.412 (d) 0.077
3. 3.Every pair follows the same rule: 3 : 8, 4 : 15, 8 : 63. What is 7 : ? (a) 49 (b) 12 (c) 48 (d) 51
4. 4.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 32 sq cm (d) 11 sq cm
5. 5.Which is the greatest: 0.157, 0.2, 0.28, 0.021? (a) 0.157 (b) 0.2 (c) 0.28 (d) 0.021
6. 6.Every pair follows the same rule: 2 : 2, 7 : 47, 8 : 62. What is 3 : ? (a) 8 (b) 7 (c) 3 (d) 6
7. 7.What is the smallest number you must add to 404 to make it divisible by 5? (a) 2 (b) 3 (c) 4 (d) 1
8. 8.Every pair follows the same rule: 2 : 6, 5 : 9, 6 : 10. What is 8 : ? (a) 11 (b) 24 (c) 12 (d) 13
9. 9.₹45 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹5 (b) ₹30 (c) ₹25 (d) ₹20
10. 10.If 13 January is a Saturday, what day of the week is 25 January? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
11. 11.Which of these numbers is divisible by 8? (a) 3041 (b) 3039 (c) 3052 (d) 3040
12. 12.If 10 March is a Friday, what day of the week is 20 March? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
13. 13.What is the value of the digit 2 in 32.475? (a) 20 (b) 0.2 (c) 2 (d) 0.02
14. 14.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 21% (b) 25% (c) 15% (d) 20%
15. 15.Every pair follows the same rule: 2 : 1, 6 : 17, 9 : 29. What is 4 : ? (a) 9 (b) 10 (c) 11 (d) 8
16. 16.Today is Friday. What day of the week will it be after 21 days? (a) Sunday (b) Saturday (c) Thursday (d) Friday
17. 17.If 10 July is a Monday, what day of the week is 8 August? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
18. 18.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 36 (b) 50 (c) 35 (d) 103
19. 19.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 12 min (c) 2 min (d) 24 min
20. 20.What is the remainder when 239 is divided by 9? (a) 4 (b) 7 (c) 6 (d) 5
21. 21.What is 15% of 420? (a) 126 (b) 630 (c) 357 (d) 63
22. 22.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 70 min (c) 45 min (d) 350 min
23. 23.What is the remainder when 219 is divided by 6? (a) 2 (b) 5 (c) 4 (d) 3
24. 24.Which fraction is greater: 5/8 or 1/7? (a) 5/8 (b) They are equal (c) 1/7
25. 25.What is the simple interest on ₹1500 at 2% per year for 4 years? (a) ₹150 (b) ₹1620 (c) ₹30 (d) ₹120
26. 26.A shopkeeper buys a toy for ₹900 and sells it for ₹810. What is his loss percent? (a) 5% (b) 15% (c) 90% (d) 10%
27. 27.If x/5 + 9 = 11, what is x? (a) 46 (b) 2 (c) 10 (d) 100
28. 28.What is the smallest number you must add to 438 to make it divisible by 8? (a) 6 (b) 3 (c) 1 (d) 2
29. 29.What is 1/9 of 54? (a) 6 (b) 48 (c) 12 (d) 7
30. 30.What is 50% of 640? (a) 321 (b) 320 (c) 3200 (d) 640
31. 31.₹287 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹164 (b) ₹123 (c) ₹41 (d) ₹205
32. 32.If 2 March is a Saturday, what day of the week is 10 March? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
33. 33.Which fraction is greater: 9/10 or 11/12? (a) They are equal (b) 9/10 (c) 11/12
34. 34.What is the simple interest on ₹2500 at 11% per year for 5 years? (a) ₹275 (b) ₹1650 (c) ₹1375 (d) ₹3875
35. 35.A bag marked ₹1240 is sold at a 30% discount. What is its selling price? (a) ₹1612 (b) ₹868 (c) ₹372 (d) ₹1210
36. 36.A bag marked ₹940 is sold at a 30% discount. What is its selling price? (a) ₹910 (b) ₹658 (c) ₹1222 (d) ₹282
37. 37.What is the value of the digit 5 in 61.523? (a) 5 (b) 0.05 (c) 0.5 (d) 0.005
38. 38.A bag marked ₹1120 is sold at a 30% discount. What is its selling price? (a) ₹1090 (b) ₹784 (c) ₹1456 (d) ₹336
39. 39.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
40. 40.3.91 + 1.4 = ? (a) 5.21 (b) 5.41 (c) 4.05 (d) 5.31

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