Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 489 · 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.Today is Thursday. What day of the week will it be after 76 days? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
2. 2.A shopkeeper buys a toy for ₹980 and sells it for ₹1127. What is his profit percent? (a) 10% (b) 20% (c) 16% (d) 15%
3. 3.If x/6 + 9 = 14, what is x? (a) 138 (b) 30 (c) 5 (d) 75
4. 4.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 18 min (c) 15 min (d) 3 min
5. 5.Which is the greatest: 0.046, 0.7, 0.78, 0.698? (a) 0.046 (b) 0.7 (c) 0.78 (d) 0.698
6. 6.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 30 sq cm (c) 60 sq cm (d) 234 sq cm
7. 7.If 4 August is a Sunday, what day of the week is 12 August? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
8. 8.Today is Thursday. What day of the week will it be after 32 days? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
9. 9.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 15 sq cm (c) 30 sq cm (d) 26 sq cm
10. 10.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 42 (b) 67 (c) 102 (d) 74
11. 11.Which of these numbers is divisible by 4? (a) 3059 (b) 3062 (c) 3067 (d) 3060
12. 12.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 88 (b) 16 (c) 46 (d) 58
13. 13.1/5 + 2/5 = ? (a) 3/5 (b) 2/5 (c) 4/5 (d) 3/10
14. 14.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 120 min (c) 720 min (d) 54 min
15. 15.Every pair follows the same rule: 3 : 10, 7 : 18, 9 : 22. What is 6 : ? (a) 15 (b) 13 (c) 17 (d) 16
16. 16.Which of these numbers is divisible by 4? (a) 2653 (b) 2650 (c) 2648 (d) 2647
17. 17.If 4 pens cost ₹12, how much do 9 pens cost? (a) ₹30 (b) ₹17 (c) ₹27 (d) ₹108
18. 18.The simple interest on ₹8500 for 4 years is ₹3740. What is the rate per year? (a) 12% (b) 11% (c) 10% (d) 44%
19. 19.Today is Tuesday. What day of the week will it be after 25 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
20. 20.What is the units digit of 9^24? (a) 2 (b) 0 (c) 9 (d) 1
21. 21.If 4x + 2 = 2x + 8, what is x? (a) 1 (b) 5 (c) 4 (d) 3
22. 22.Every pair follows the same rule: 2 : 4, 3 : 9, 6 : 36. What is 4 : ? (a) 18 (b) 6 (c) 8 (d) 16
23. 23.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 28 sq cm (d) 56 sq cm
24. 24.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 240 min (b) 32 min (c) 4 min (d) 60 min
25. 25.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 75 min (b) 375 min (c) 5 min (d) 40 min
26. 26.Two ribbons are 44 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) 1 cm (b) 44 cm (c) 11 cm (d) 33 cm
27. 27.If 9 notebooks cost ₹45, how much do 2 notebooks cost? (a) ₹15 (b) ₹90 (c) ₹10 (d) ₹38
28. 28.What is the average of all the whole numbers from 58 to 74? (a) 16 (b) 67 (c) 66 (d) 8
29. 29.Which fraction is greater: 1/8 or 3/5? (a) They are equal (b) 1/8 (c) 3/5
30. 30.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 72 (b) 216 (c) 30 (d) 36
31. 31.2.68 + 5.1 = ? (a) 7.68 (b) 3.19 (c) 7.88 (d) 7.78
32. 32.Every pair follows the same rule: 2 : 12, 4 : 18, 8 : 30. What is 9 : ? (a) 19 (b) 34 (c) 54 (d) 33
33. 33.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 30 sq cm (d) 15 sq cm
34. 34.What is the value of the digit 7 in 14.792? (a) 0.07 (b) 0.7 (c) 7 (d) 0.007
35. 35.What is the simple interest on ₹6500 at 4% per year for 5 years? (a) ₹1560 (b) ₹260 (c) ₹7800 (d) ₹1300
36. 36.What is the average of 64, 55, 80, 58, 73 and 66? (a) 68 (b) 67 (c) 66 (d) 65
37. 37.What is the average of 44, 26, 27, 23, 34 and 44? (a) 32 (b) 34 (c) 35 (d) 33
38. 38.If 22 August is a Wednesday, what day of the week is 18 September? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
39. 39.What is the units digit of 9^17? (a) 7 (b) 8 (c) 9 (d) 1
40. 40.What is the units digit of 8^15? (a) 6 (b) 4 (c) 2 (d) 8

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