Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 153 · 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.Every pair follows the same rule: 2 : 11, 8 : 17, 9 : 18. What is 7 : ? (a) 17 (b) 16 (c) 18 (d) 15
2. 2.What is the average of all the whole numbers from 35 to 75? (a) 56 (b) 20 (c) 55 (d) 40
3. 3.Which is the smallest: 0.21, 0.022, 0.2, 0.194? (a) 0.21 (b) 0.022 (c) 0.2 (d) 0.194
4. 4.What is the average of 13, 23, 13 and 55? (a) 28 (b) 25 (c) 27 (d) 26
5. 5.If 7 pens cost ₹140, how much do 12 pens cost? (a) ₹1680 (b) ₹145 (c) ₹240 (d) ₹260
6. 6.Two ribbons are 24 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 8 cm (c) 96 cm (d) 24 cm
7. 7.If 17 July is a Monday, what day of the week is 12 August? (a) Sunday (b) Friday (c) Saturday (d) Monday
8. 8.A teacher has 18 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 6 (c) 72 (d) 3
9. 9.In how many years will ₹2000 earn ₹120 simple interest at 2% per year? (a) 3 years (b) 6 years (c) 2 years (d) 4 years
10. 10.5.15 + 5.9 = ? (a) 5.74 (b) 11.15 (c) 10.95 (d) 11.05
11. 11.What is the average of all the whole numbers from 50 to 88? (a) 19 (b) 69 (c) 38 (d) 70
12. 12.What is the average of 61, 69, 73, 73, 58 and 80? (a) 70 (b) 68 (c) 69 (d) 71
13. 13.What is the value of the digit 2 in 82.569? (a) 2 (b) 0.2 (c) 0.02 (d) 20
14. 14.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 36 cm (d) 26 cm
15. 15.What is the simple interest on ₹9500 at 7% per year for 4 years? (a) ₹12160 (b) ₹3325 (c) ₹665 (d) ₹2660
16. 16.Every pair follows the same rule: 3 : 9, 8 : 64, 9 : 81. What is 6 : ? (a) 30 (b) 36 (c) 18 (d) 12
17. 17.₹1000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹1060 (b) ₹1020 (c) ₹60 (d) ₹1080
18. 18.Which fraction is greater: 5/6 or 5/9? (a) 5/9 (b) 5/6 (c) They are equal
19. 19.If 24 April is a Monday, what day of the week is 18 May? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
20. 20.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 29 sq cm (d) 58 sq cm
21. 21.What is 15% of 60? (a) 51 (b) 90 (c) 18 (d) 9
22. 22.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
23. 23.What is 30% of 800? (a) 480 (b) 560 (c) 2400 (d) 240
24. 24.Which is the greatest: 0.035, 0.172, 0.2, 0.27? (a) 0.035 (b) 0.172 (c) 0.2 (d) 0.27
25. 25.What is the units digit of 9^52? (a) 9 (b) 0 (c) 1 (d) 2
26. 26.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
27. 27.If 14 November is a Saturday, what day of the week is 2 December? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
28. 28.If 3x + 18 = x + 40, what is x? (a) 13 (b) 11 (c) 12 (d) 29
29. 29.Every pair follows the same rule: 4 : 24, 5 : 25, 6 : 26. What is 3 : ? (a) 18 (b) 23 (c) 24 (d) 22
30. 30.If 7x + 9 = 30, what is x? (a) 4 (b) 21 (c) 3 (d) 2
31. 31.What is 4/7 of 77? (a) 55 (b) 33 (c) 44 (d) 11
32. 32.Which fraction is greater: 5/9 or 1/11? (a) 1/11 (b) They are equal (c) 5/9
33. 33.Which fraction is greater: 7/9 or 1/6? (a) 1/6 (b) 7/9 (c) They are equal
34. 34.A bag marked ₹760 is sold at a 40% discount. What is its selling price? (a) ₹456 (b) ₹1064 (c) ₹720 (d) ₹304
35. 35.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 60 min (c) 30 min (d) 16 min
36. 36.The simple interest on ₹8000 for 5 years is ₹2800. What is the rate per year? (a) 8% (b) 35% (c) 7% (d) 6%
37. 37.What is 5/8 of 88? (a) 55 (b) 11 (c) 33 (d) 66
38. 38.What is the smallest number you must add to 750 to make it divisible by 11? (a) 8 (b) 10 (c) 2 (d) 9
39. 39.What is 1/2 of 16? (a) 7 (b) 8 (c) 9 (d) 16
40. 40.2.99 + 1.2 = ? (a) 4.29 (b) 3.11 (c) 4.09 (d) 4.19

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