Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 487 · 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.Today is Sunday. What day of the week will it be after 43 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
2. 2.What is the units digit of 2^24? (a) 8 (b) 6 (c) 2 (d) 4
3. 3.The simple interest on ₹3000 for 4 years is ₹960. What is the rate per year? (a) 9% (b) 7% (c) 32% (d) 8%
4. 4.A shopkeeper buys a toy for ₹880 and sells it for ₹528. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
5. 5.₹72 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹42 (b) ₹36 (c) ₹6 (d) ₹30
6. 6.What is 75% of 480? (a) 120 (b) 360 (c) 3600 (d) 720
7. 7.What is 1/6 of 60? (a) 10 (b) 50 (c) 20 (d) 11
8. 8.What is the value of the digit 2 in 41.592? (a) 0.002 (b) 0.2 (c) 0.02 (d) 2
9. 9.If 3x + 8 = 26, what is x? (a) 6 (b) 7 (c) 18 (d) 5
10. 10.Today is Wednesday. What day of the week will it be after 15 days? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
11. 11.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 27 days (b) 3 days (c) 17 days (d) 1 day
12. 12.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 143 cm
13. 13.2/5 + 2/7 = ? (a) 24/35 (b) 23/35 (c) 1/3 (d) 5/7
14. 14.If 3x + 11 = x + 25, what is x? (a) 18 (b) 7 (c) 9 (d) 8
15. 15.2.78 + 1.1 = ? (a) 3.88 (b) 3.98 (c) 2.89 (d) 3.78
16. 16.If 5 December is a Wednesday, what day of the week is 13 December? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
17. 17.If 2x + 22 = 46, what is x? (a) 12 (b) 34 (c) 24 (d) 13
18. 18.A shopkeeper buys a toy for ₹900 and sells it for ₹675. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
19. 19.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 48 cm (c) 58 cm (d) 190 cm
20. 20.₹352 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹192 (b) ₹160 (c) ₹32 (d) ₹176
21. 21.Today is Sunday. What day of the week will it be after 46 days? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
22. 22.Two ribbons are 4 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 4 cm (c) 2 cm (d) 10 cm
23. 23.If 29 June is a Monday, what day of the week is 7 July? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
24. 24.Which of these numbers is divisible by 3? (a) 213 (b) 212 (c) 214 (d) 217
25. 25.Which of these numbers is divisible by 3? (a) 823 (b) 819 (c) 818 (d) 820
26. 26.If 20 January is a Friday, what day of the week is 18 February? (a) Monday (b) Friday (c) Saturday (d) Sunday
27. 27.What is the units digit of 9^46? (a) 0 (b) 9 (c) 1 (d) 2
28. 28.A bag marked ₹1940 is sold at a 20% discount. What is its selling price? (a) ₹1920 (b) ₹388 (c) ₹2328 (d) ₹1552
29. 29.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 136 sq cm (c) 25 sq cm (d) 50 sq cm
30. 30.Which is the greatest: 0.28, 0.025, 0.2, 0.143? (a) 0.28 (b) 0.025 (c) 0.2 (d) 0.143
31. 31.If 6 July is a Tuesday, what day of the week is 22 July? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
32. 32.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 36 (b) 20 (c) 32 (d) 48
33. 33.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 24 (b) 60 (c) 23 (d) 29
34. 34.A shopkeeper buys a toy for ₹820 and sells it for ₹902. What is his profit percent? (a) 82% (b) 5% (c) 15% (d) 10%
35. 35.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 5 days (b) 12 days (c) 4 days (d) 16 days
36. 36.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 22 cm (d) 17 cm
37. 37.A shopkeeper buys a toy for ₹480 and sells it for ₹528. What is his profit percent? (a) 48% (b) 5% (c) 10% (d) 15%
38. 38.A shopkeeper buys a toy for ₹120 and sells it for ₹126. What is his profit percent? (a) 6% (b) 4% (c) 5% (d) 10%
39. 39.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
40. 40.In how many years will ₹1500 earn ₹210 simple interest at 7% per year? (a) 2 years (b) 3 years (c) 4 years (d) 1 year

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