Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 79 · 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. 1.4/9 + 3/9 = ? (a) 7/18 (b) 7/9 (c) 8/9 (d) 2/3
2. 2.The simple interest on ₹6500 for 3 years is ₹390. What is the rate per year? (a) 6% (b) 3% (c) 2% (d) 1%
3. 3.1/6 + 2/4 = ? (a) 3/10 (b) 3/4 (c) 7/12 (d) 2/3
4. 4.If 2 pens cost ₹6, how much do 9 pens cost? (a) ₹13 (b) ₹27 (c) ₹54 (d) ₹30
5. 5.If 6x − 6 = 18, what is x? (a) 24 (b) 2 (c) 5 (d) 4
6. 6.What is the smallest number you must add to 723 to make it divisible by 12? (a) 9 (b) 10 (c) 8 (d) 3
7. 7.Which is the smallest: 0.021, 0.41, 0.4, 0.398? (a) 0.021 (b) 0.41 (c) 0.4 (d) 0.398
8. 8.Two ribbons are 66 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 462 cm (b) 1 cm (c) 11 cm (d) 66 cm
9. 9.Every pair follows the same rule: 2 : 9, 7 : 24, 8 : 27. What is 4 : ? (a) 16 (b) 11 (c) 15 (d) 14
10. 10.What is the average of all the whole numbers from 15 to 27? (a) 22 (b) 6 (c) 12 (d) 21
11. 11.A teacher has 15 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 15 (c) 90 (d) 3
12. 12.What is the units digit of 3^38? (a) 3 (b) 7 (c) 9 (d) 1
13. 13.If 6 notebooks cost ₹42, how much do 4 notebooks cost? (a) ₹168 (b) ₹28 (c) ₹35 (d) ₹40
14. 14.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 4 cm (d) 5 cm
15. 15.What is 5% of 820? (a) 410 (b) 41 (c) 82 (d) 779
16. 16.Today is Wednesday. What day of the week will it be after 34 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
17. 17.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 315 min (b) 36 min (c) 3 min (d) 105 min
18. 18.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 14 cm
19. 19.What is the average of 17, 33, 10 and 36? (a) 23 (b) 24 (c) 32 (d) 25
20. 20.₹6000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹8640 (b) ₹7980 (c) ₹1980 (d) ₹6660
21. 21.The simple interest on ₹3500 for 3 years is ₹210. What is the rate per year? (a) 1% (b) 6% (c) 3% (d) 2%
22. 22.What is the value of the digit 6 in 38.164? (a) 0.6 (b) 0.006 (c) 0.06 (d) 6
23. 23.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 47 (b) 45 (c) 61 (d) 18
24. 24.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 17 cm (c) 3 cm (d) 2 cm
25. 25.If 1 May is a Saturday, what day of the week is 10 May? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
26. 26.What is the average of 63, 63, 71 and 71? (a) 68 (b) 69 (c) 66 (d) 67
27. 27.5/9 + 1/3 = ? (a) 1/2 (b) 1 (c) 7/9 (d) 8/9
28. 28.A shopkeeper buys a toy for ₹900 and sells it for ₹720. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
29. 29.4.23 + 5.3 = ? (a) 4.76 (b) 9.53 (c) 9.43 (d) 9.63
30. 30.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 114 sq cm (d) 95 sq cm
31. 31.1/9 + 2/3 = ? (a) 1/4 (b) 2/3 (c) 7/9 (d) 8/9
32. 32.If x/2 + 5 = 8, what is x? (a) 11 (b) 26 (c) 3 (d) 6
33. 33.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 125 (b) 140 (c) 11 (d) 20
34. 34.If 3x − 37 = 2, what is x? (a) 13 (b) 12 (c) 14 (d) 39
35. 35.Which fraction is greater: 4/5 or 1/12? (a) 1/12 (b) They are equal (c) 4/5
36. 36.Which is the smallest: 0.2, 0.197, 0.23, 0.016? (a) 0.2 (b) 0.197 (c) 0.23 (d) 0.016
37. 37.The simple interest on ₹1000 for 2 years is ₹120. What is the rate per year? (a) 6% (b) 5% (c) 7% (d) 12%
38. 38.4.94 + 5.1 = ? (a) 10.14 (b) 5.45 (c) 9.94 (d) 10.04
39. 39.Today is Friday. What day of the week will it be after 36 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
40. 40.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm

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