Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 146 · 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.A bag marked ₹1800 is sold at a 20% discount. What is its selling price? (a) ₹2160 (b) ₹1780 (c) ₹1440 (d) ₹360
2. 2.4 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 9 days (c) 13 days (d) 11 days
3. 3.2/6 + 3/8 = ? (a) 5/14 (b) 2/3 (c) 3/4 (d) 17/24
4. 4.If 2 December is a Monday, what day of the week is 16 December? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
5. 5.The simple interest on ₹5500 for 2 years is ₹330. What is the rate per year? (a) 2% (b) 6% (c) 4% (d) 3%
6. 6.Which fraction is greater: 1/5 or 2/9? (a) They are equal (b) 2/9 (c) 1/5
7. 7.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 12 (b) 62 (c) 32 (d) 42
8. 8.What is the units digit of 2^34? (a) 2 (b) 8 (c) 6 (d) 4
9. 9.Every pair follows the same rule: 2 : 1, 4 : 7, 8 : 19. What is 6 : ? (a) 12 (b) 15 (c) 13 (d) 14
10. 10.Which fraction is greater: 9/11 or 5/12? (a) They are equal (b) 5/12 (c) 9/11
11. 11.Which of these numbers is divisible by 8? (a) 6629 (b) 6647 (c) 6636 (d) 6632
12. 12.Which is the greatest: 0.017, 0.167, 0.2, 0.21? (a) 0.017 (b) 0.167 (c) 0.2 (d) 0.21
13. 13.₹272 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹136 (b) ₹102 (c) ₹34 (d) ₹170
14. 14.1/9 + 4/9 = ? (a) 2/3 (b) 5/9 (c) 4/9 (d) 5/18
15. 15.Every pair follows the same rule: 2 : 13, 5 : 22, 9 : 34. What is 4 : ? (a) 18 (b) 19 (c) 15 (d) 20
16. 16.A teacher has 16 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 8 (c) 4 (d) 48
17. 17.What is 1/3 of 6? (a) 3 (b) 1 (c) 4 (d) 2
18. 18.Today is Tuesday. What day of the week will it be after 54 days? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
19. 19.5/9 + 3/9 = ? (a) 4/9 (b) 7/9 (c) 8/9 (d) 1
20. 20.A teacher has 21 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 1 (c) 21 (d) 7
21. 21.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 35 min (c) 250 min (d) 5 min
22. 22.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 12 cm (d) 8 cm
23. 23.If 8 pens cost ₹40, how much do 6 pens cost? (a) ₹30 (b) ₹38 (c) ₹240 (d) ₹35
24. 24.Every pair follows the same rule: 2 : 19, 8 : 25, 9 : 26. What is 7 : ? (a) 23 (b) 25 (c) 24 (d) 26
25. 25.A teacher has 20 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 20 (d) 50
26. 26.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 252 min (b) 33 min (c) 3 min (d) 84 min
27. 27.Which fraction is greater: 4/5 or 1/3? (a) 4/5 (b) 1/3 (c) They are equal
28. 28.4/8 + 1/3 = ? (a) 5/6 (b) 5/11 (c) 19/24 (d) 7/8
29. 29.What is the average of 44, 27, 43, 27, 35 and 46? (a) 37 (b) 36 (c) 39 (d) 38
30. 30.What is the simple interest on ₹10000 at 8% per year for 4 years? (a) ₹4000 (b) ₹13200 (c) ₹3200 (d) ₹800
31. 31.Today is Saturday. What day of the week will it be after 76 days? (a) Friday (b) Thursday (c) Saturday (d) Sunday
32. 32.3/5 + 1/5 = ? (a) 2/5 (b) 4/5 (c) 1 (d) 3/5
33. 33.Which of these numbers is divisible by 9? (a) 5396 (b) 5407 (c) 5416 (d) 5400
34. 34.If 2x − 9 = 1, what is x? (a) 5 (b) 10 (c) 4 (d) 6
35. 35.What is the value of the digit 2 in 96.241? (a) 0.002 (b) 0.2 (c) 2 (d) 0.02
36. 36.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 4 (b) 64 (c) 65 (d) 46
37. 37.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 32 (b) 18 (c) 28 (d) 42
38. 38.Which of these numbers is divisible by 4? (a) 628 (b) 629 (c) 635 (d) 627
39. 39.Which fraction is greater: 7/8 or 1/3? (a) 1/3 (b) 7/8 (c) They are equal
40. 40.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 252 (b) 126 (c) 756 (d) 60

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