Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 384 · 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.A teacher has 40 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 40 (c) 240 (d) 8
2. 2.If 4 March is a Thursday, what day of the week is 18 March? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
3. 3.Which is the greatest: 0.6, 0.64, 0.063, 0.541? (a) 0.6 (b) 0.64 (c) 0.063 (d) 0.541
4. 4.Every pair follows the same rule: 6 : 12, 7 : 14, 9 : 18. What is 3 : ? (a) 9 (b) 6 (c) 7 (d) 5
5. 5.In how many years will ₹1000 earn ₹80 simple interest at 2% per year? (a) 3 years (b) 5 years (c) 4 years (d) 8 years
6. 6.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 40 sq cm (c) 20 sq cm (d) 91 sq cm
7. 7.What is 2/3 of 36? (a) 36 (b) 25 (c) 24 (d) 12
8. 8.5.69 + 9.1 = ? (a) 14.89 (b) 14.69 (c) 6.6 (d) 14.79
9. 9.₹9000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹10890 (b) ₹11520 (c) ₹9630 (d) ₹1890
10. 10.Today is Sunday. What day of the week will it be after 25 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
11. 11.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 20 (c) 42 (d) 84
12. 12.Today is Wednesday. What day of the week will it be after 96 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
13. 13.Today is Tuesday. What day of the week will it be after 44 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
14. 14.What is 50% of 660? (a) 3300 (b) 331 (c) 330 (d) 660
15. 15.Which is the greatest: 0.66, 0.6, 0.058, 0.563? (a) 0.66 (b) 0.6 (c) 0.058 (d) 0.563
16. 16.₹351 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹216 (b) ₹243 (c) ₹135 (d) ₹27
17. 17.What is the average of all the whole numbers from 52 to 66? (a) 59 (b) 7 (c) 60 (d) 14
18. 18.If 20 August is a Friday, what day of the week is 19 September? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
19. 19.Every pair follows the same rule: 2 : 1, 6 : 21, 7 : 26. What is 9 : ? (a) 37 (b) 36 (c) 35 (d) 38
20. 20.A bag marked ₹1200 is sold at a 25% discount. What is its selling price? (a) ₹300 (b) ₹1500 (c) ₹900 (d) ₹1175
21. 21.The simple interest on ₹4000 for 5 years is ₹1400. What is the rate per year? (a) 35% (b) 8% (c) 7% (d) 6%
22. 22.Every pair follows the same rule: 2 : 21, 5 : 24, 9 : 28. What is 8 : ? (a) 28 (b) 27 (c) 29 (d) 26
23. 23.What is 2/7 of 14? (a) 2 (b) 10 (c) 4 (d) 6
24. 24.What is the average of 16, 31, 12, 33, 11 and 35? (a) 25 (b) 24 (c) 22 (d) 23
25. 25.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 80 min (b) 40 min (c) 2 min (d) 18 min
26. 26.If 6 December is a Wednesday, what day of the week is 14 December? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
27. 27.In how many years will ₹6500 earn ₹1560 simple interest at 6% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
28. 28.In how many years will ₹10000 earn ₹1800 simple interest at 9% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
29. 29.Which of these numbers is divisible by 3? (a) 1658 (b) 1654 (c) 1660 (d) 1656
30. 30.Every pair follows the same rule: 2 : 13, 5 : 34, 7 : 58. What is 6 : ? (a) 44 (b) 17 (c) 46 (d) 45
31. 31.What is the value of the digit 1 in 91.253? (a) 10 (b) 0.01 (c) 0.1 (d) 1
32. 32.If 10 March is a Friday, what day of the week is 12 April? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
33. 33.What is 20% of 140? (a) 56 (b) 112 (c) 280 (d) 28
34. 34.If 9x − 7 = 11, what is x? (a) 1 (b) 18 (c) 3 (d) 2
35. 35.7 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 17 days (d) 7 days
36. 36.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
37. 37.What is the remainder when 152 is divided by 3? (a) 0 (b) 1 (c) 2
38. 38.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 48 cm (d) 60 cm
39. 39.If x/6 + 15 = 19, what is x? (a) 99 (b) 24 (c) 204 (d) 4
40. 40.What is the units digit of 9^24? (a) 1 (b) 0 (c) 2 (d) 9

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