Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 288 · 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.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 59 (b) 3 (c) 27 (d) 2
2. 2.What is the smallest number you must add to 215 to make it divisible by 7? (a) 3 (b) 2 (c) 1 (d) 5
3. 3.If 2 May is a Saturday, what day of the week is 10 May? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
4. 4.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 46 (b) 22 (c) 11 (d) 10
5. 5.What is 1/2 of 12? (a) 12 (b) 7 (c) 6 (d) 5
6. 6.₹1500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹1800 (b) ₹1860 (c) ₹1560 (d) ₹300
7. 7.A bag marked ₹2000 is sold at a 40% discount. What is its selling price? (a) ₹1960 (b) ₹800 (c) ₹2800 (d) ₹1200
8. 8.If 6 notebooks cost ₹150, how much do 2 notebooks cost? (a) ₹146 (b) ₹300 (c) ₹75 (d) ₹50
9. 9.Which is the smallest: 0.025, 0.589, 0.6, 0.66? (a) 0.025 (b) 0.589 (c) 0.6 (d) 0.66
10. 10.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 240 min (b) 60 min (c) 4 min (d) 32 min
11. 11.Which is the greatest: 0.635, 0.72, 0.7, 0.089? (a) 0.635 (b) 0.72 (c) 0.7 (d) 0.089
12. 12.If 13 March is a Wednesday, what day of the week is 20 April? (a) Monday (b) Friday (c) Sunday (d) Saturday
13. 13.Which of these numbers is divisible by 3? (a) 1247 (b) 1248 (c) 1250 (d) 1253
14. 14.If 31 March is a Thursday, what day of the week is 15 April? (a) Thursday (b) Friday (c) Sunday (d) Saturday
15. 15.If 5 October is a Thursday, what day of the week is 13 October? (a) Sunday (b) Friday (c) Thursday (d) Saturday
16. 16.Two ribbons are 24 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) 24 cm (b) 72 cm (c) 6 cm (d) 12 cm
17. 17.7.42 + 9.1 = ? (a) 16.42 (b) 8.33 (c) 16.52 (d) 16.62
18. 18.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 32 cm (d) 18 cm
19. 19.A bag marked ₹340 is sold at a 40% discount. What is its selling price? (a) ₹300 (b) ₹136 (c) ₹204 (d) ₹476
20. 20.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
21. 21.Every pair follows the same rule: 2 : 8, 3 : 12, 9 : 36. What is 4 : ? (a) 15 (b) 17 (c) 10 (d) 16
22. 22.If 2 notebooks cost ₹6, how much do 8 notebooks cost? (a) ₹12 (b) ₹48 (c) ₹27 (d) ₹24
23. 23.Every pair follows the same rule: 3 : 20, 7 : 24, 9 : 26. What is 5 : ? (a) 24 (b) 21 (c) 22 (d) 23
24. 24.If 6x + 10 = 5x + 20, what is x? (a) 12 (b) 30 (c) 10 (d) 11
25. 25.9.46 + 2.1 = ? (a) 9.67 (b) 11.66 (c) 11.56 (d) 11.46
26. 26.Today is Thursday. What day of the week will it be after 19 days? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
27. 27.Which is the smallest: 0.759, 0.83, 0.028, 0.8? (a) 0.759 (b) 0.83 (c) 0.028 (d) 0.8
28. 28.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 30 (c) 31 (d) 33
29. 29.A shopkeeper buys a toy for ₹940 and sells it for ₹1175. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
30. 30.If 6x + 7 = 61, what is x? (a) 8 (b) 9 (c) 54 (d) 10
31. 31.₹105 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹35 (b) ₹70 (c) ₹71 (d) ₹105
32. 32.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
33. 33.What is the simple interest on ₹8500 at 10% per year for 2 years? (a) ₹850 (b) ₹2550 (c) ₹1700 (d) ₹10200
34. 34.Every pair follows the same rule: 4 : 17, 5 : 26, 7 : 50. What is 6 : ? (a) 36 (b) 19 (c) 37 (d) 38
35. 35.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 48 min (c) 4 min (d) 192 min
36. 36.What is the average of 18, 34, 22, 15 and 21? (a) 24 (b) 21 (c) 22 (d) 23
37. 37.What is the average of all the whole numbers from 17 to 39? (a) 11 (b) 29 (c) 28 (d) 22
38. 38.3/4 + 1/4 = ? (a) 5/4 (b) 1 (c) 3/4 (d) 1/2
39. 39.Which fraction is greater: 1/3 or 7/9? (a) They are equal (b) 1/3 (c) 7/9
40. 40.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 40 min (c) 4 min (d) 84 min

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