Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 494 · 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.In how many years will ₹10000 earn ₹1800 simple interest at 9% per year? (a) 4 years (b) 2 years (c) 3 years (d) 1 year
2. 2.Which of these numbers is divisible by 8? (a) 1594 (b) 1605 (c) 1586 (d) 1592
3. 3.Which fraction is greater: 2/7 or 6/11? (a) 6/11 (b) They are equal (c) 2/7
4. 4.3 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 28 days (d) 17 days
5. 5.3.11 + 2.3 = ? (a) 5.41 (b) 5.31 (c) 3.34 (d) 5.51
6. 6.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 4 cm (c) 22 cm (d) 6 cm
7. 7.A bag marked ₹1280 is sold at a 20% discount. What is its selling price? (a) ₹1024 (b) ₹1536 (c) ₹1260 (d) ₹256
8. 8.₹343 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹245 (b) ₹294 (c) ₹98 (d) ₹49
9. 9.₹1500 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹2025 (b) ₹2130 (c) ₹525 (d) ₹1605
10. 10.Two ribbons are 4 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 2 cm (c) 4 cm (d) 1 cm
11. 11.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 30% (b) 20% (c) 26% (d) 25%
12. 12.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 54 min (c) 120 min (d) 720 min
13. 13.If 2 July is a Sunday, what day of the week is 17 July? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
14. 14.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 30 (b) 60 (c) 31 (d) 16
15. 15.What is the average of 37, 45, 45, 23 and 30? (a) 45 (b) 35 (c) 37 (d) 36
16. 16.If 3 March is a Monday, what day of the week is 18 March? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
17. 17.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 30% (b) 55% (c) 25% (d) 20%
18. 18.Which of these numbers is divisible by 8? (a) 1530 (b) 1537 (c) 1528 (d) 1521
19. 19.What is 2/3 of 27? (a) 9 (b) 19 (c) 27 (d) 18
20. 20.What is 1/2 of 4? (a) 4 (b) 3 (c) 2 (d) 1
21. 21.₹6000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹7260 (b) ₹1260 (c) ₹7680 (d) ₹6420
22. 22.What is the value of the digit 2 in 69.752? (a) 0.02 (b) 0.002 (c) 2 (d) 0.2
23. 23.6 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 14 days (c) 23 days (d) 22 days
24. 24.What is the simple interest on ₹5500 at 8% per year for 4 years? (a) ₹1760 (b) ₹440 (c) ₹2200 (d) ₹7260
25. 25.If 7x − 8 = 6, what is x? (a) 1 (b) 14 (c) 3 (d) 2
26. 26.What is the simple interest on ₹1500 at 5% per year for 2 years? (a) ₹1650 (b) ₹150 (c) ₹75 (d) ₹225
27. 27.Every pair follows the same rule: 3 : 10, 5 : 26, 9 : 82. What is 6 : ? (a) 40 (b) 37 (c) 13 (d) 38
28. 28.If x/6 + 12 = 22, what is x? (a) 204 (b) 120 (c) 10 (d) 60
29. 29.A shopkeeper buys a toy for ₹420 and sells it for ₹504. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 84%
30. 30.What is the value of the digit 5 in 42.765? (a) 0.05 (b) 5 (c) 0.005 (d) 0.5
31. 31.What is the units digit of 9^24? (a) 9 (b) 0 (c) 2 (d) 1
32. 32.What is the value of the digit 8 in 89.413? (a) 0.08 (b) 0.8 (c) 80 (d) 8
33. 33.What is 1/4 of 48? (a) 24 (b) 13 (c) 12 (d) 36
34. 34.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 126 (b) 756 (c) 60 (d) 252
35. 35.What is the remainder when 31 is divided by 3? (a) 1 (b) 0 (c) 2
36. 36.If 22 May is a Thursday, what day of the week is 12 June? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
37. 37.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 136 sq cm (d) 119 sq cm
38. 38.Two ribbons are 35 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 1 cm (c) 5 cm (d) 35 cm
39. 39.1/2 + 1/6 = ? (a) 2/3 (b) 1/2 (c) 5/6 (d) 1/4
40. 40.A shopkeeper buys a toy for ₹500 and sells it for ₹400. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%

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