Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 176 · 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 8x + 9 = 89, what is x? (a) 80 (b) 11 (c) 9 (d) 10
2. 2.If 5 March is a Wednesday, what day of the week is 18 March? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
3. 3.Two ribbons are 21 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 1 cm (c) 168 cm (d) 21 cm
4. 4.Which fraction is greater: 4/5 or 2/3? (a) They are equal (b) 2/3 (c) 4/5
5. 5.If 7x + 1 = 2x + 11, what is x? (a) 4 (b) 1 (c) 3 (d) 2
6. 6.Today is Sunday. What day of the week will it be after 37 days? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
7. 7.If 7x + 25 = 60, what is x? (a) 4 (b) 35 (c) 6 (d) 5
8. 8.What is the average of all the whole numbers from 16 to 28? (a) 6 (b) 23 (c) 12 (d) 22
9. 9.In how many years will ₹5500 earn ₹1760 simple interest at 8% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
10. 10.What is 1/3 of 33? (a) 11 (b) 12 (c) 22 (d) 10
11. 11.In how many years will ₹7000 earn ₹1050 simple interest at 3% per year? (a) 5 years (b) 6 years (c) 4 years (d) 10 years
12. 12.What is the average of 27, 22, 18, 35 and 28? (a) 26 (b) 27 (c) 25 (d) 28
13. 13.What is the average of 19, 36, 27 and 22? (a) 25 (b) 27 (c) 28 (d) 26
14. 14.Every pair follows the same rule: 2 : 2, 4 : 6, 8 : 14. What is 3 : ? (a) 6 (b) 4 (c) 3 (d) 5
15. 15.What is the average of all the whole numbers from 55 to 65? (a) 5 (b) 10 (c) 61 (d) 60
16. 16.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 12 min (b) 2 min (c) 10 min (d) 24 min
17. 17.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 11 days (d) 3 days
18. 18.If 30 January is a Monday, what day of the week is 8 February? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
19. 19.A teacher has 77 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 77 (b) 22 (c) 1 (d) 11
20. 20.Two ribbons are 6 cm and 27 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) 6 cm (d) 3 cm
21. 21.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 84 (c) 42 (d) 20
22. 22.7.51 + 1.8 = ? (a) 9.21 (b) 7.69 (c) 9.31 (d) 9.41
23. 23.What is the average of 15, 21, 29 and 19? (a) 21 (b) 28 (c) 22 (d) 20
24. 24.₹126 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹63 (b) ₹84 (c) ₹126 (d) ₹42
25. 25.A shopkeeper buys a toy for ₹660 and sells it for ₹627. What is his loss percent? (a) 5% (b) 33% (c) 6% (d) 10%
26. 26.What is the simple interest on ₹3000 at 5% per year for 5 years? (a) ₹3750 (b) ₹900 (c) ₹750 (d) ₹150
27. 27.If x/4 + 2 = 4, what is x? (a) 14 (b) 2 (c) 24 (d) 8
28. 28.3 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 28 days (b) 17 days (c) 11 days (d) 7 days
29. 29.A shopkeeper buys a toy for ₹700 and sells it for ₹525. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 26%
30. 30.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 1 : ? (a) 4 (b) 7 (c) 2 (d) 1
31. 31.If 5x + 22 = 87, what is x? (a) 13 (b) 14 (c) 12 (d) 65
32. 32.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 9 sq cm (d) 14 sq cm
33. 33.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 77 cm (d) 36 cm
34. 34.What is the remainder when 374 is divided by 7? (a) 3 (b) 5 (c) 2 (d) 4
35. 35.If 5 March is a Friday, what day of the week is 13 March? (a) Monday (b) Saturday (c) Friday (d) Sunday
36. 36.What is 25% of 120? (a) 300 (b) 90 (c) 60 (d) 30
37. 37.If 8x + 27 = 91, what is x? (a) 9 (b) 7 (c) 64 (d) 8
38. 38.Which of these numbers is divisible by 11? (a) 6504 (b) 6501 (c) 6517 (d) 6497
39. 39.If 6x + 6 = 30, what is x? (a) 6 (b) 4 (c) 5 (d) 24
40. 40.What is the smallest number you must add to 456 to make it divisible by 7? (a) 4 (b) 1 (c) 5 (d) 6

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