Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 445 · 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.What is the average of 50, 56, 59, 72 and 68? (a) 61 (b) 60 (c) 62 (d) 63
2. 2.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 19 cm (c) 84 cm (d) 38 cm
3. 3.Every pair follows the same rule: 7 : 56, 8 : 64, 9 : 72. What is 6 : ? (a) 48 (b) 55 (c) 49 (d) 47
4. 4.Two ribbons are 27 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 27 cm (b) 9 cm (c) 3 cm (d) 108 cm
5. 5.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 560 min (c) 140 min (d) 48 min
6. 6.A shopkeeper buys a toy for ₹360 and sells it for ₹306. What is his loss percent? (a) 20% (b) 54% (c) 10% (d) 15%
7. 7.Which fraction is greater: 9/10 or 1/9? (a) 1/9 (b) 9/10 (c) They are equal
8. 8.Which fraction is greater: 1/3 or 3/8? (a) 3/8 (b) They are equal (c) 1/3
9. 9.1/2 + 1/2 = ? (a) 3/2 (b) 1/2 (c) 1 (d) 2
10. 10.What is the value of the digit 7 in 79.345? (a) 0.07 (b) 0.7 (c) 7 (d) 70
11. 11.If 4 July is a Wednesday, what day of the week is 17 July? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
12. 12.3/5 + 2/4 = ? (a) 5/9 (b) 11/10 (c) 21/20 (d) 23/20
13. 13.Every pair follows the same rule: 2 : 4, 6 : 12, 8 : 16. What is 9 : ? (a) 19 (b) 18 (c) 11 (d) 17
14. 14.What is the smallest number you must add to 226 to make it divisible by 5? (a) 1 (b) 4 (c) 2 (d) 3
15. 15.8.52 + 4.6 = ? (a) 13.02 (b) 8.98 (c) 13.22 (d) 13.12
16. 16.7.81 + 2.8 = ? (a) 8.09 (b) 10.51 (c) 10.61 (d) 10.71
17. 17.4.71 + 7.4 = ? (a) 12.21 (b) 12.01 (c) 12.11 (d) 5.45
18. 18.If 13 January is a Saturday, what day of the week is 26 January? (a) Thursday (b) Friday (c) Sunday (d) Saturday
19. 19.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 86 (b) 62 (c) 59 (d) 30
20. 20.Which of these numbers is divisible by 4? (a) 2530 (b) 2525 (c) 2524 (d) 2523
21. 21.What is the smallest number you must add to 766 to make it divisible by 10? (a) 3 (b) 6 (c) 4 (d) 5
22. 22.If 15 March is a Friday, what day of the week is 29 March? (a) Sunday (b) Thursday (c) Friday (d) Saturday
23. 23.What is the average of 72, 59, 65, 73 and 96? (a) 74 (b) 73 (c) 72 (d) 75
24. 24.1.46 + 4.9 = ? (a) 6.36 (b) 6.46 (c) 6.26 (d) 1.95
25. 25.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
26. 26.What is the remainder when 297 is divided by 4? (a) 3 (b) 1 (c) 0 (d) 2
27. 27.₹5500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹5720 (b) ₹1100 (c) ₹6600 (d) ₹6820
28. 28.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
29. 29.Every pair follows the same rule: 3 : 10, 8 : 35, 9 : 40. What is 2 : ? (a) 9 (b) 6 (c) 5 (d) 4
30. 30.What is the remainder when 74 is divided by 4? (a) 3 (b) 2 (c) 1 (d) 0
31. 31.If 26 June is a Friday, what day of the week is 18 July? (a) Monday (b) Sunday (c) Saturday (d) Friday
32. 32.What is 1/9 of 27? (a) 4 (b) 24 (c) 6 (d) 3
33. 33.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 6 : ? (a) 8 (b) 36 (c) 30 (d) 12
34. 34.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) 16 min (b) 2 min (c) 30 min (d) 60 min
35. 35.4/5 + 1/2 = ? (a) 13/10 (b) 5/7 (c) 7/5 (d) 6/5
36. 36.If 23 September is a Friday, what day of the week is 14 October? (a) Thursday (b) Friday (c) Sunday (d) Saturday
37. 37.What is the smallest number you must add to 701 to make it divisible by 9? (a) 3 (b) 2 (c) 8 (d) 1
38. 38.If 8 kites cost ₹96, how much do 9 kites cost? (a) ₹97 (b) ₹120 (c) ₹864 (d) ₹108
39. 39.Every pair follows the same rule: 2 : 1, 3 : 6, 8 : 61. What is 4 : ? (a) 14 (b) 13 (c) 17 (d) 12
40. 40.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 110 cm (c) 21 cm (d) 32 cm

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