Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 776 · 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.The simple interest on ₹2500 for 4 years is ₹300. What is the rate per year? (a) 3% (b) 4% (c) 12% (d) 2%
2. 2.A bag marked ₹1160 is sold at a 50% discount. What is its selling price? (a) ₹581 (b) ₹1740 (c) ₹580 (d) ₹1110
3. 3.If 4x − 40 = 4, what is x? (a) 44 (b) 12 (c) 11 (d) 10
4. 4.What is 25% of 580? (a) 435 (b) 145 (c) 290 (d) 1450
5. 5.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
6. 6.A teacher has 15 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 1 (c) 3 (d) 6
7. 7.Which of these numbers is divisible by 6? (a) 2551 (b) 2558 (c) 2550 (d) 2546
8. 8.What is the value of the digit 4 in 92.634? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
9. 9.Every pair follows the same rule: 5 : 10, 6 : 12, 7 : 14. What is 8 : ? (a) 17 (b) 16 (c) 13 (d) 15
10. 10.In how many years will ₹6000 earn ₹600 simple interest at 5% per year? (a) 3 years (b) 2 years (c) 4 years (d) 1 year
11. 11.If 28 July is a Saturday, what day of the week is 10 August? (a) Thursday (b) Friday (c) Saturday (d) Sunday
12. 12.What is the remainder when 266 is divided by 5? (a) 0 (b) 2 (c) 1 (d) 4
13. 13.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 30 (b) 11 (c) 64 (d) 10
14. 14.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 756 min (b) 60 min (c) 6 min (d) 126 min
15. 15.A teacher has 14 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 7 (c) 14 (d) 42
16. 16.1/2 + 1/3 = ? (a) 2/5 (b) 1 (c) 2/3 (d) 5/6
17. 17.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) 45 min (b) 3 min (c) 24 min (d) 135 min
18. 18.A teacher has 4 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 1 (c) 2 (d) 14
19. 19.Which is the greatest: 0.045, 0.28, 0.199, 0.2? (a) 0.045 (b) 0.28 (c) 0.199 (d) 0.2
20. 20.If 4x + 3 = 3x + 12, what is x? (a) 11 (b) 15 (c) 10 (d) 9
21. 21.In how many years will ₹10000 earn ₹1800 simple interest at 9% per year? (a) 3 years (b) 2 years (c) 4 years (d) 1 year
22. 22.4.55 + 1.5 = ? (a) 6.05 (b) 5.95 (c) 4.7 (d) 6.15
23. 23.What is 3/7 of 77? (a) 44 (b) 33 (c) 11 (d) 34
24. 24.5.44 + 4.9 = ? (a) 10.24 (b) 5.93 (c) 10.34 (d) 10.44
25. 25.What is the value of the digit 1 in 67.491? (a) 0.01 (b) 0.001 (c) 0.1 (d) 1
26. 26.If 12 October is a Friday, what day of the week is 25 October? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
27. 27.What is the remainder when 356 is divided by 5? (a) 2 (b) 4 (c) 1 (d) 0
28. 28.If 15 January is a Thursday, what day of the week is 29 January? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
29. 29.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 132 sq cm (d) 120 sq cm
30. 30.What is the smallest number you must add to 296 to make it divisible by 5? (a) 3 (b) 4 (c) 1 (d) 2
31. 31.Which of these numbers is divisible by 4? (a) 2801 (b) 2796 (c) 2795 (d) 2797
32. 32.What is 1/2 of 16? (a) 7 (b) 8 (c) 16 (d) 9
33. 33.9.09 + 4.9 = ? (a) 13.99 (b) 13.89 (c) 14.09 (d) 9.58
34. 34.If x/5 + 1 = 7, what is x? (a) 30 (b) 6 (c) 40 (d) 34
35. 35.3.11 + 8.1 = ? (a) 3.92 (b) 11.21 (c) 11.31 (d) 11.11
36. 36.What is 1/3 of 21? (a) 14 (b) 6 (c) 7 (d) 8
37. 37.Every pair follows the same rule: 3 : 27, 4 : 36, 6 : 54. What is 9 : ? (a) 81 (b) 82 (c) 33 (d) 80
38. 38.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 19 days (c) 18 days (d) 10 days
39. 39.Which is the smallest: 0.632, 0.71, 0.029, 0.7? (a) 0.632 (b) 0.71 (c) 0.029 (d) 0.7
40. 40.Which fraction is greater: 1/6 or 1/5? (a) They are equal (b) 1/5 (c) 1/6

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