Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 206 · 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.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 36 min (c) 224 min (d) 4 min
2. 2.What is 50% of 800? (a) 800 (b) 400 (c) 401 (d) 4000
3. 3.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 25 min (b) 150 min (c) 5 min (d) 30 min
4. 4.Every pair follows the same rule: 5 : 11, 7 : 13, 8 : 14. What is 3 : ? (a) 8 (b) 11 (c) 9 (d) 10
5. 5.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 98 (b) 50 (c) 60 (d) 44
6. 6.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 7 days
7. 7.Every pair follows the same rule: 5 : 35, 7 : 49, 8 : 56. What is 4 : ? (a) 29 (b) 34 (c) 27 (d) 28
8. 8.What is the value of the digit 3 in 38.794? (a) 30 (b) 0.3 (c) 0.03 (d) 3
9. 9.Which fraction is greater: 1/6 or 2/3? (a) They are equal (b) 1/6 (c) 2/3
10. 10.Which is the smallest: 0.78, 0.093, 0.7, 0.692? (a) 0.78 (b) 0.093 (c) 0.7 (d) 0.692
11. 11.What is the average of 84, 65, 83, 90, 84 and 62? (a) 79 (b) 77 (c) 78 (d) 80
12. 12.If 8 pens cost ₹80, how much do 9 pens cost? (a) ₹100 (b) ₹81 (c) ₹720 (d) ₹90
13. 13.Two ribbons are 40 cm and 90 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) 5 cm (c) 50 cm (d) 40 cm
14. 14.If x/6 + 15 = 19, what is x? (a) 99 (b) 24 (c) 4 (d) 204
15. 15.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 46 sq cm (c) 102 sq cm (d) 23 sq cm
16. 16.Every pair follows the same rule: 7 : 36, 8 : 40, 9 : 44. What is 5 : ? (a) 28 (b) 27 (c) 34 (d) 29
17. 17.₹315 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹135 (b) ₹225 (c) ₹180 (d) ₹45
18. 18.What is the units digit of 3^44? (a) 1 (b) 3 (c) 7 (d) 9
19. 19.₹215 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹43 (b) ₹86 (c) ₹172 (d) ₹129
20. 20.A bag marked ₹1600 is sold at a 40% discount. What is its selling price? (a) ₹2240 (b) ₹640 (c) ₹1560 (d) ₹960
21. 21.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
22. 22.What is the smallest number you must add to 519 to make it divisible by 7? (a) 4 (b) 5 (c) 6 (d) 1
23. 23.If 15 May is a Wednesday, what day of the week is 23 May? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
24. 24.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 270 (b) 90 (c) 33 (d) 180
25. 25.Every pair follows the same rule: 3 : 7, 8 : 27, 9 : 31. What is 2 : ? (a) 4 (b) 3 (c) 6 (d) 2
26. 26.What is 5/9 of 99? (a) 11 (b) 55 (c) 66 (d) 44
27. 27.If 3x − 12 = 6, what is x? (a) 5 (b) 18 (c) 6 (d) 7
28. 28.2/5 + 2/6 = ? (a) 23/30 (b) 7/10 (c) 4/11 (d) 11/15
29. 29.What is the simple interest on ₹6500 at 6% per year for 2 years? (a) ₹1170 (b) ₹390 (c) ₹7280 (d) ₹780
30. 30.What is the smallest number you must add to 160 to make it divisible by 3? (a) 1 (b) 2
31. 31.Which of these numbers is divisible by 8? (a) 6168 (b) 6164 (c) 6169 (d) 6179
32. 32.Which fraction is greater: 5/11 or 1/4? (a) They are equal (b) 5/11 (c) 1/4
33. 33.If 2x + 12 = 18, what is x? (a) 6 (b) 4 (c) 3 (d) 15
34. 34.What is the smallest number you must add to 153 to make it divisible by 4? (a) 1 (b) 2 (c) 3
35. 35.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 70 sq cm (d) 34 sq cm
36. 36.If 4x + 15 = 27, what is x? (a) 12 (b) 3 (c) 4 (d) 2
37. 37.What is the average of all the whole numbers from 25 to 61? (a) 43 (b) 36 (c) 18 (d) 44
38. 38.What is the average of all the whole numbers from 35 to 61? (a) 13 (b) 49 (c) 48 (d) 26
39. 39.A teacher has 24 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 24 (c) 8 (d) 40
40. 40.A shopkeeper buys a toy for ₹320 and sells it for ₹352. What is his profit percent? (a) 32% (b) 10% (c) 15% (d) 5%

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