Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 18 · 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.₹143 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹91 (b) ₹52 (c) ₹104 (d) ₹13
2. 2.Every pair follows the same rule: 3 : 13, 5 : 29, 9 : 85. What is 8 : ? (a) 68 (b) 18 (c) 71 (d) 69
3. 3.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 20 sq cm (c) 40 sq cm (d) 80 sq cm
4. 4.A shopkeeper buys a toy for ₹1000 and sells it for ₹900. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 11%
5. 5.2/4 + 5/7 = ? (a) 17/14 (b) 33/28 (c) 5/4 (d) 7/11
6. 6.What is the simple interest on ₹7500 at 2% per year for 5 years? (a) ₹900 (b) ₹8250 (c) ₹150 (d) ₹750
7. 7.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
8. 8.In how many years will ₹4500 earn ₹1350 simple interest at 10% per year? (a) 3 years (b) 6 years (c) 2 years (d) 4 years
9. 9.If 6x − 16 = 8, what is x? (a) 24 (b) 3 (c) 4 (d) 5
10. 10.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 14 sq cm (d) 9 sq cm
11. 11.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 1 : ? (a) 2 (b) 9 (c) 25 (d) 1
12. 12.If 14 May is a Thursday, what day of the week is 11 June? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
13. 13.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 12 cm (d) 24 cm
14. 14.7.01 + 7.8 = ? (a) 14.71 (b) 7.79 (c) 14.81 (d) 14.91
15. 15.8 workers can build a wall in 15 days. How many days will 12 workers take, working at the same speed? (a) 10 days (b) 19 days (c) 9 days (d) 11 days
16. 16.If 8 mangoes cost ₹48, how much do 12 mangoes cost? (a) ₹576 (b) ₹72 (c) ₹52 (d) ₹78
17. 17.If 9 October is a Friday, what day of the week is 17 October? (a) Monday (b) Friday (c) Saturday (d) Sunday
18. 18.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 84 min (c) 20 min (d) 2 min
19. 19.What is 1/2 of 16? (a) 8 (b) 9 (c) 7 (d) 16
20. 20.What is the average of 34, 54, 44, 52 and 46? (a) 47 (b) 48 (c) 46 (d) 45
21. 21.What is the simple interest on ₹9500 at 3% per year for 2 years? (a) ₹10070 (b) ₹570 (c) ₹855 (d) ₹285
22. 22.A bag marked ₹780 is sold at a 30% discount. What is its selling price? (a) ₹750 (b) ₹1014 (c) ₹546 (d) ₹234
23. 23.If 21 August is a Tuesday, what day of the week is 7 September? (a) Thursday (b) Saturday (c) Friday (d) Sunday
24. 24.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
25. 25.7.49 + 9.3 = ? (a) 16.79 (b) 16.89 (c) 8.42 (d) 16.69
26. 26.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 35 cm (c) 12 cm (d) 19 cm
27. 27.Every pair follows the same rule: 2 : 4, 5 : 25, 8 : 64. What is 9 : ? (a) 18 (b) 11 (c) 81 (d) 77
28. 28.If 4x + 1 = 2x + 25, what is x? (a) 4 (b) 13 (c) 14 (d) 12
29. 29.6.33 + 9.6 = ? (a) 15.83 (b) 16.03 (c) 7.29 (d) 15.93
30. 30.Every pair follows the same rule: 3 : 8, 4 : 15, 7 : 48. What is 9 : ? (a) 81 (b) 14 (c) 70 (d) 80
31. 31.What is the value of the digit 8 in 95.827? (a) 0.8 (b) 0.08 (c) 0.008 (d) 8
32. 32.Which fraction is greater: 3/10 or 7/12? (a) They are equal (b) 3/10 (c) 7/12
33. 33.What is the smallest number you must add to 874 to make it divisible by 11? (a) 6 (b) 8 (c) 5 (d) 7
34. 34.Which fraction is greater: 3/4 or 10/11? (a) 10/11 (b) They are equal (c) 3/4
35. 35.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 69 (b) 33 (c) 19 (d) 18
36. 36.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 168 min (b) 26 min (c) 2 min (d) 84 min
37. 37.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 4 days (c) 7 days (d) 25 days
38. 38.Today is Friday. What day of the week will it be after 75 days? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
39. 39.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 56 cm (c) 48 cm (d) 28 cm
40. 40.5.03 + 1.7 = ? (a) 6.63 (b) 6.83 (c) 5.2 (d) 6.73

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