Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 371 · 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.Which is the greatest: 0.044, 0.7, 0.76, 0.636? (a) 0.044 (b) 0.7 (c) 0.76 (d) 0.636
2. 2.Which is the greatest: 0.058, 0.232, 0.38, 0.3? (a) 0.058 (b) 0.232 (c) 0.38 (d) 0.3
3. 3.Every pair follows the same rule: 3 : 5, 6 : 14, 8 : 20. What is 2 : ? (a) 3 (b) 4 (c) 2 (d) 1
4. 4.What is the smallest number you must add to 83 to make it divisible by 3? (a) 2 (b) 1
5. 5.What is 7/8 of 80? (a) 80 (b) 71 (c) 10 (d) 70
6. 6.Two ribbons are 40 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 32 cm (b) 4 cm (c) 40 cm (d) 8 cm
7. 7.Two ribbons are 10 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 1 cm (c) 35 cm (d) 10 cm
8. 8.What is 3/5 of 20? (a) 16 (b) 12 (c) 8 (d) 4
9. 9.3/4 + 1/5 = ? (a) 1 (b) 4/9 (c) 9/10 (d) 19/20
10. 10.Today is Thursday. What day of the week will it be after 28 days? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
11. 11.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 20 (b) 43 (c) 11 (d) 12
12. 12.What is 75% of 200? (a) 50 (b) 150 (c) 300 (d) 1500
13. 13.If 7 pens cost ₹154, how much do 11 pens cost? (a) ₹158 (b) ₹242 (c) ₹264 (d) ₹1694
14. 14.What is the value of the digit 5 in 59.643? (a) 0.5 (b) 50 (c) 0.05 (d) 5
15. 15.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 10 cm (c) 18 cm (d) 9 cm
16. 16.Which is the smallest: 0.013, 0.86, 0.798, 0.8? (a) 0.013 (b) 0.86 (c) 0.798 (d) 0.8
17. 17.What is the simple interest on ₹10000 at 6% per year for 3 years? (a) ₹600 (b) ₹2400 (c) ₹11800 (d) ₹1800
18. 18.The simple interest on ₹1000 for 3 years is ₹90. What is the rate per year? (a) 3% (b) 9% (c) 4% (d) 2%
19. 19.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 6 min (c) 504 min (d) 84 min
20. 20.If 9x + 25 = 160, what is x? (a) 14 (b) 135 (c) 15 (d) 16
21. 21.Which is the greatest: 0.366, 0.4, 0.43, 0.034? (a) 0.366 (b) 0.4 (c) 0.43 (d) 0.034
22. 22.Every pair follows the same rule: 3 : 12, 4 : 16, 5 : 20. What is 6 : ? (a) 15 (b) 23 (c) 25 (d) 24
23. 23.If 1 May is a Wednesday, what day of the week is 10 May? (a) Thursday (b) Sunday (c) Saturday (d) Friday
24. 24.What is the value of the digit 1 in 61.725? (a) 0.1 (b) 0.01 (c) 10 (d) 1
25. 25.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 168 cm (c) 52 cm (d) 40 cm
26. 26.What is the remainder when 131 is divided by 4? (a) 0 (b) 2 (c) 3 (d) 1
27. 27.Every pair follows the same rule: 3 : 14, 5 : 18, 9 : 26. What is 8 : ? (a) 19 (b) 24 (c) 25 (d) 23
28. 28.₹414 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹207 (b) ₹46 (c) ₹184 (d) ₹230
29. 29.What is 60% of 680? (a) 408 (b) 272 (c) 816 (d) 4080
30. 30.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 17 cm (d) 52 cm
31. 31.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 378 min (b) 126 min (c) 3 min (d) 39 min
32. 32.What is the smallest number you must add to 76 to make it divisible by 3? (a) 2 (b) 1
33. 33.₹2500 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹2775 (b) ₹3600 (c) ₹3875 (d) ₹1100
34. 34.Today is Monday. What day of the week will it be after 37 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
35. 35.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 30 (b) 60 (c) 16 (d) 31
36. 36.Today is Thursday. What day of the week will it be after 82 days? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
37. 37.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 96 min (b) 24 min (c) 4 min (d) 20 min
38. 38.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 15 days (d) 8 days
39. 39.What is 1/2 of 18? (a) 10 (b) 8 (c) 18 (d) 9
40. 40.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 56 (b) 18 (c) 28 (d) 29

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