Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 896 · 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.Every pair follows the same rule: 3 : 21, 5 : 35, 7 : 49. What is 6 : ? (a) 41 (b) 42 (c) 43 (d) 24
2. 2.Which of these numbers is divisible by 8? (a) 1039 (b) 1041 (c) 1030 (d) 1032
3. 3.₹1000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹1210 (b) ₹1140 (c) ₹140 (d) ₹1070
4. 4.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 80 sq cm (c) 64 sq cm (d) 40 sq cm
5. 5.Today is Tuesday. What day of the week will it be after 61 days? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
6. 6.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 63 days (c) 21 days (d) 64 days
7. 7.₹5500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹880 (b) ₹5720 (c) ₹6600 (d) ₹6380
8. 8.Which fraction is greater: 1/8 or 3/4? (a) 1/8 (b) They are equal (c) 3/4
9. 9.₹4000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹4400 (b) ₹5600 (c) ₹6000 (d) ₹1600
10. 10.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 30 sq cm (c) 15 sq cm (d) 63 sq cm
11. 11.What is the simple interest on ₹9500 at 10% per year for 3 years? (a) ₹3800 (b) ₹2850 (c) ₹950 (d) ₹12350
12. 12.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 11 (b) 140 (c) 125 (d) 20
13. 13.₹396 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹180 (b) ₹198 (c) ₹36 (d) ₹216
14. 14.Today is Friday. What day of the week will it be after 41 days? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
15. 15.In how many years will ₹7000 earn ₹700 simple interest at 5% per year? (a) 4 years (b) 1 year (c) 2 years (d) 3 years
16. 16.Two ribbons are 60 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 12 cm (c) 48 cm (d) 6 cm
17. 17.Which fraction is greater: 1/10 or 5/11? (a) They are equal (b) 5/11 (c) 1/10
18. 18.Which fraction is greater: 4/5 or 2/3? (a) They are equal (b) 4/5 (c) 2/3
19. 19.6.92 + 3.1 = ? (a) 9.92 (b) 10.12 (c) 10.02 (d) 7.23
20. 20.What is the remainder when 76 is divided by 5? (a) 2 (b) 1 (c) 0 (d) 4
21. 21.A teacher has 24 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 72 (c) 6 (d) 12
22. 22.Every pair follows the same rule: 2 : 12, 5 : 30, 9 : 54. What is 6 : ? (a) 16 (b) 35 (c) 36 (d) 37
23. 23.Today is Tuesday. What day of the week will it be after 58 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
24. 24.What is the average of 32, 40, 21, 30, 24 and 51? (a) 35 (b) 34 (c) 33 (d) 32
25. 25.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 36 days (b) 19 days (c) 11 days (d) 35 days
26. 26.In how many years will ₹1500 earn ₹405 simple interest at 9% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
27. 27.What is 10% of 340? (a) 340 (b) 68 (c) 306 (d) 34
28. 28.Every pair follows the same rule: 5 : 9, 8 : 12, 9 : 13. What is 4 : ? (a) 10 (b) 7 (c) 9 (d) 8
29. 29.Which is the greatest: 0.031, 0.329, 0.4, 0.48? (a) 0.031 (b) 0.329 (c) 0.4 (d) 0.48
30. 30.What is the value of the digit 9 in 93.482? (a) 0.9 (b) 9 (c) 0.09 (d) 90
31. 31.Today is Tuesday. What day of the week will it be after 30 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
32. 32.₹2500 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹2700 (b) ₹3100 (c) ₹3300 (d) ₹600
33. 33.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 70 (b) 45 (c) 30 (d) 85
34. 34.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 2 min (c) 20 min (d) 42 min
35. 35.Which fraction is greater: 1/4 or 1/7? (a) They are equal (b) 1/7 (c) 1/4
36. 36.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 3 (b) 43 (c) 2 (d) 20
37. 37.In how many years will ₹9000 earn ₹1800 simple interest at 4% per year? (a) 10 years (b) 4 years (c) 6 years (d) 5 years
38. 38.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 32 (b) 97 (c) 47 (d) 33
39. 39.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 1 day (b) 21 days (c) 22 days (d) 13 days
40. 40.What is the average of all the whole numbers from 55 to 79? (a) 68 (b) 12 (c) 24 (d) 67

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