Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 22 · 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.Two ribbons are 45 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 45 cm (b) 9 cm (c) 3 cm (d) 18 cm
2. 2.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 21 sq cm (c) 42 sq cm (d) 57 sq cm
3. 3.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 9 days (c) 25 days (d) 13 days
4. 4.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 135 min (c) 24 min (d) 45 min
5. 5.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 10 cm (c) 6 cm (d) 5 cm
6. 6.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 18 cm (c) 29 cm (d) 36 cm
7. 7.₹217 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹93 (b) ₹31 (c) ₹124 (d) ₹155
8. 8.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 5 min (c) 35 min (d) 300 min
9. 9.If 15 August is a Monday, what day of the week is 31 August? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
10. 10.Which fraction is greater: 1/8 or 1/9? (a) They are equal (b) 1/8 (c) 1/9
11. 11.1/2 + 1/8 = ? (a) 1/2 (b) 5/8 (c) 3/4 (d) 1/5
12. 12.A teacher has 24 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 18 (c) 24 (d) 6
13. 13.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) 32 min (b) 60 min (c) 4 min (d) 240 min
14. 14.If 25 September is a Thursday, what day of the week is 12 October? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
15. 15.If 13 August is a Wednesday, what day of the week is 22 August? (a) Thursday (b) Sunday (c) Saturday (d) Friday
16. 16.In how many years will ₹8500 earn ₹3825 simple interest at 9% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
17. 17.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 200 cm (d) 22 cm
18. 18.If 10 May is a Friday, what day of the week is 15 June? (a) Saturday (b) Friday (c) Sunday (d) Monday
19. 19.If 4x + 6 = 3x + 12, what is x? (a) 18 (b) 8 (c) 6 (d) 7
20. 20.Which is the greatest: 0.81, 0.783, 0.095, 0.8? (a) 0.81 (b) 0.783 (c) 0.095 (d) 0.8
21. 21.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 64 (b) 120 (c) 57 (d) 70
22. 22.A shopkeeper buys a toy for ₹600 and sells it for ₹570. What is his loss percent? (a) 5% (b) 10% (c) 30% (d) 6%
23. 23.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 8 (c) 7 (d) 36
24. 24.A teacher has 24 pencils and 60 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 6 (c) 12 (d) 36
25. 25.If 6 notebooks cost ₹126, how much do 12 notebooks cost? (a) ₹132 (b) ₹1512 (c) ₹273 (d) ₹252
26. 26.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 57 cm
27. 27.Every pair follows the same rule: 4 : 20, 7 : 29, 8 : 32. What is 3 : ? (a) 17 (b) 18 (c) 15 (d) 19
28. 28.Which fraction is greater: 3/7 or 8/11? (a) 8/11 (b) 3/7 (c) They are equal
29. 29.What is the simple interest on ₹6500 at 4% per year for 5 years? (a) ₹7800 (b) ₹1560 (c) ₹260 (d) ₹1300
30. 30.If 2 pens cost ₹32, how much do 4 pens cost? (a) ₹64 (b) ₹128 (c) ₹34 (d) ₹80
31. 31.In how many years will ₹4000 earn ₹800 simple interest at 5% per year? (a) 3 years (b) 5 years (c) 4 years (d) 8 years
32. 32.If 30 January is a Wednesday, what day of the week is 16 February? (a) Friday (b) Monday (c) Saturday (d) Sunday
33. 33.1.48 + 6.1 = ? (a) 7.58 (b) 2.09 (c) 7.48 (d) 7.68
34. 34.Every pair follows the same rule: 5 : 23, 8 : 62, 9 : 79. What is 4 : ? (a) 13 (b) 22 (c) 14 (d) 15
35. 35.If 7 notebooks cost ₹154, how much do 5 notebooks cost? (a) ₹770 (b) ₹132 (c) ₹110 (d) ₹152
36. 36.Every pair follows the same rule: 2 : 8, 5 : 17, 9 : 29. What is 4 : ? (a) 14 (b) 16 (c) 10 (d) 15
37. 37.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 15 days (c) 3 days (d) 27 days
38. 38.Every pair follows the same rule: 4 : 25, 6 : 45, 7 : 58. What is 8 : ? (a) 73 (b) 74 (c) 71 (d) 29
39. 39.1/3 + 1/4 = ? (a) 7/12 (b) 2/7 (c) 1/2 (d) 2/3
40. 40.What is the remainder when 387 is divided by 12? (a) 4 (b) 3 (c) 9 (d) 2

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