Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 401 · 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.If 26 August is a Friday, what day of the week is 20 September? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
2. 2.Which fraction is greater: 3/10 or 1/3? (a) They are equal (b) 1/3 (c) 3/10
3. 3.If 1 July is a Wednesday, what day of the week is 14 July? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
4. 4.If 6x + 8 = 50, what is x? (a) 42 (b) 6 (c) 8 (d) 7
5. 5.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 35 (b) 68 (c) 43 (d) 10
6. 6.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 60 cm (c) 34 cm (d) 38 cm
7. 7.Which fraction is greater: 1/7 or 2/3? (a) 2/3 (b) 1/7 (c) They are equal
8. 8.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 12 (b) 26 (c) 16 (d) 30
9. 9.If 1 August is a Sunday, what day of the week is 16 August? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
10. 10.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 32 (c) 83 (d) 59
11. 11.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) 250 min (b) 5 min (c) 35 min (d) 50 min
12. 12.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 42 min (c) 27 min (d) 3 min
13. 13.1/2 + 1/3 = ? (a) 2/3 (b) 1 (c) 5/6 (d) 2/5
14. 14.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 5 : ? (a) 126 (b) 92 (c) 125 (d) 5
15. 15.What is the units digit of 2^55? (a) 8 (b) 6 (c) 4 (d) 2
16. 16.If 5x + 9 = x + 41, what is x? (a) 10 (b) 8 (c) 9 (d) 7
17. 17.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 54 (b) 39 (c) 73 (d) 20
18. 18.What is the average of 29, 19, 37, 13 and 27? (a) 25 (b) 27 (c) 26 (d) 24
19. 19.What is the value of the digit 6 in 67.128? (a) 6 (b) 0.6 (c) 60 (d) 0.06
20. 20.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 2 min (c) 48 min (d) 14 min
21. 21.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 10 days (c) 18 days (d) 2 days
22. 22.What is the smallest number you must add to 179 to make it divisible by 5? (a) 4 (b) 2 (c) 3 (d) 1
23. 23.What is the simple interest on ₹3000 at 10% per year for 2 years? (a) ₹300 (b) ₹600 (c) ₹3600 (d) ₹900
24. 24.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 22 (b) 26 (c) 23 (d) 53
25. 25.₹2000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹2140 (b) ₹2560 (c) ₹2420 (d) ₹420
26. 26.2/7 + 1/2 = ? (a) 6/7 (b) 11/14 (c) 1/3 (d) 5/7
27. 27.6 workers can build a wall in 12 days. How many days will 9 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 8 days (d) 18 days
28. 28.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 21 cm (d) 17 cm
29. 29.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 24 cm (d) 35 cm
30. 30.Every pair follows the same rule: 3 : 16, 5 : 18, 6 : 19. What is 8 : ? (a) 23 (b) 22 (c) 21 (d) 20
31. 31.If 12 August is a Monday, what day of the week is 26 August? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
32. 32.What is 20% of 280? (a) 224 (b) 112 (c) 560 (d) 56
33. 33.1/3 + 2/3 = ? (a) 1/2 (b) 1 (c) 4/3 (d) 2/3
34. 34.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 82 (b) 39 (c) 20 (d) 19
35. 35.₹252 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹18 (b) ₹126 (c) ₹90 (d) ₹162
36. 36.A bag marked ₹540 is sold at a 30% discount. What is its selling price? (a) ₹702 (b) ₹510 (c) ₹162 (d) ₹378
37. 37.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
38. 38.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 32 cm (c) 52 cm (d) 64 cm
39. 39.Which of these numbers is divisible by 4? (a) 3089 (b) 3087 (c) 3094 (d) 3088
40. 40.Today is Monday. What day of the week will it be after 100 days? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday

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