Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 451 · 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 10 March is a Wednesday, what day of the week is 20 March? (a) Friday (b) Sunday (c) Saturday (d) Monday
2. 2.₹434 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹155 (b) ₹217 (c) ₹279 (d) ₹31
3. 3.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 216 min (c) 36 min (d) 6 min
4. 4.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
5. 5.Which is the greatest: 0.599, 0.6, 0.68, 0.057? (a) 0.599 (b) 0.6 (c) 0.68 (d) 0.057
6. 6.Which fraction is greater: 3/5 or 1/4? (a) 1/4 (b) They are equal (c) 3/5
7. 7.Which fraction is greater: 1/8 or 9/10? (a) 1/8 (b) 9/10 (c) They are equal
8. 8.A teacher has 40 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 5 (c) 200 (d) 10
9. 9.What is the value of the digit 1 in 67.218? (a) 0.1 (b) 1 (c) 0.001 (d) 0.01
10. 10.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 60 (b) 240 (c) 120 (d) 32
11. 11.8 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 12 days (b) 11 days (c) 17 days (d) 13 days
12. 12.If 3 kites cost ₹27, how much do 12 kites cost? (a) ₹324 (b) ₹36 (c) ₹117 (d) ₹108
13. 13.A shopkeeper buys a toy for ₹400 and sells it for ₹560. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
14. 14.The simple interest on ₹4000 for 3 years is ₹960. What is the rate per year? (a) 9% (b) 8% (c) 24% (d) 7%
15. 15.The simple interest on ₹6500 for 5 years is ₹2600. What is the rate per year? (a) 40% (b) 8% (c) 9% (d) 7%
16. 16.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
17. 17.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 31 cm (d) 17 cm
18. 18.If x/5 + 3 = 6, what is x? (a) 3 (b) 27 (c) 45 (d) 15
19. 19.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 1 : ? (a) 4 (b) 7 (c) 1 (d) 2
20. 20.Two ribbons are 10 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 1 cm (c) 5 cm (d) 30 cm
21. 21.What is the units digit of 8^11? (a) 2 (b) 8 (c) 4 (d) 6
22. 22.In how many years will ₹3500 earn ₹350 simple interest at 5% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
23. 23.Today is Tuesday. What day of the week will it be after 71 days? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
24. 24.In how many years will ₹8000 earn ₹720 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
25. 25.If 7x + 2 = 107, what is x? (a) 14 (b) 105 (c) 16 (d) 15
26. 26.1/2 + 1/2 = ? (a) 1/2 (b) 1 (c) 2 (d) 3/2
27. 27.If 7 mangoes cost ₹21, how much do 12 mangoes cost? (a) ₹39 (b) ₹26 (c) ₹36 (d) ₹252
28. 28.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 40 (b) 15 (c) 85 (d) 16
29. 29.What is 60% of 120? (a) 72 (b) 144 (c) 48 (d) 720
30. 30.If 6 mangoes cost ₹72, how much do 10 mangoes cost? (a) ₹120 (b) ₹76 (c) ₹132 (d) ₹720
31. 31.₹385 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹140 (b) ₹245 (c) ₹35 (d) ₹280
32. 32.What is the average of all the whole numbers from 19 to 35? (a) 8 (b) 16 (c) 27 (d) 28
33. 33.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 20 sq cm (c) 40 sq cm (d) 84 sq cm
34. 34.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 5 days (c) 9 days (d) 7 days
35. 35.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 14 (c) 19 (d) 13
36. 36.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 3 min (c) 90 min (d) 270 min
37. 37.What is 30% of 400? (a) 240 (b) 1200 (c) 280 (d) 120
38. 38.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 240 sq cm (c) 31 sq cm (d) 220 sq cm
39. 39.8.83 + 3.1 = ? (a) 11.93 (b) 9.14 (c) 11.83 (d) 12.03
40. 40.If x/5 + 9 = 15, what is x? (a) 120 (b) 66 (c) 30 (d) 6

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