Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 511 · 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 x/4 + 5 = 15, what is x? (a) 40 (b) 10 (c) 80 (d) 55
2. 2.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 22 min (c) 112 min (d) 56 min
3. 3.A shopkeeper buys a toy for ₹640 and sells it for ₹768. What is his profit percent? (a) 21% (b) 20% (c) 25% (d) 15%
4. 4.Which fraction is greater: 3/5 or 2/3? (a) They are equal (b) 3/5 (c) 2/3
5. 5.What is 1/5 of 60? (a) 24 (b) 12 (c) 48 (d) 13
6. 6.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 55 (c) 24 (d) 37
7. 7.₹276 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹115 (b) ₹138 (c) ₹161 (d) ₹23
8. 8.If 12 October is a Thursday, what day of the week is 20 October? (a) Friday (b) Sunday (c) Saturday (d) Thursday
9. 9.8.51 + 7.9 = ? (a) 16.41 (b) 16.31 (c) 16.51 (d) 9.3
10. 10.Every pair follows the same rule: 3 : 10, 4 : 17, 9 : 82. What is 7 : ? (a) 56 (b) 51 (c) 14 (d) 50
11. 11.₹602 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹215 (b) ₹387 (c) ₹43 (d) ₹301
12. 12.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 1 day (d) 8 days
13. 13.If 5 mangoes cost ₹100, how much do 10 mangoes cost? (a) ₹220 (b) ₹200 (c) ₹1000 (d) ₹105
14. 14.₹8000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹1200 (b) ₹8400 (c) ₹9200 (d) ₹9600
15. 15.Which fraction is greater: 1/7 or 1/9? (a) 1/7 (b) They are equal (c) 1/9
16. 16.1.09 + 3.7 = ? (a) 4.89 (b) 4.79 (c) 4.69 (d) 1.46
17. 17.Today is Sunday. What day of the week will it be after 88 days? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
18. 18.What is the simple interest on ₹9500 at 11% per year for 5 years? (a) ₹14725 (b) ₹6270 (c) ₹5225 (d) ₹1045
19. 19.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 45 sq cm (c) 30 sq cm (d) 17 sq cm
20. 20.Two ribbons are 8 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 4 cm (c) 8 cm (d) 2 cm
21. 21.If x/2 + 12 = 17, what is x? (a) 22 (b) 58 (c) 5 (d) 10
22. 22.If 2x − 3 = 1, what is x? (a) 3 (b) 2 (c) 1 (d) 4
23. 23.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 150 (b) 750 (c) 300 (d) 55
24. 24.Which fraction is greater: 1/6 or 1/3? (a) 1/3 (b) 1/6 (c) They are equal
25. 25.Two ribbons are 21 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 1 cm (c) 35 cm (d) 7 cm
26. 26.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 10 cm (d) 9 cm
27. 27.Two ribbons are 28 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 8 cm (c) 28 cm (d) 4 cm
28. 28.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 80 sq cm (c) 34 sq cm (d) 70 sq cm
29. 29.What is 5% of 400? (a) 40 (b) 200 (c) 20 (d) 380
30. 30.What is the average of 47, 21, 29, 37 and 31? (a) 32 (b) 33 (c) 35 (d) 34
31. 31.If 8x − 17 = 55, what is x? (a) 10 (b) 72 (c) 9 (d) 8
32. 32.If 2 March is a Monday, what day of the week is 15 March? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
33. 33.A bag marked ₹1480 is sold at a 40% discount. What is its selling price? (a) ₹592 (b) ₹1440 (c) ₹888 (d) ₹2072
34. 34.Every pair follows the same rule: 2 : 15, 4 : 17, 6 : 19. What is 7 : ? (a) 19 (b) 21 (c) 20 (d) 22
35. 35.What is 1/2 of 6? (a) 6 (b) 4 (c) 3 (d) 2
36. 36.What is the simple interest on ₹7500 at 4% per year for 4 years? (a) ₹1200 (b) ₹1500 (c) ₹300 (d) ₹8700
37. 37.Today is Saturday. What day of the week will it be after 16 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
38. 38.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 23 cm (d) 14 cm
39. 39.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 26 (b) 57 (c) 25 (d) 28
40. 40.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 32% (b) 10% (c) 6% (d) 5%

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