Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 925 · 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.What is the average of 60, 50, 60, 51 and 104? (a) 64 (b) 67 (c) 65 (d) 66
2. 2.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 38 cm (c) 21 cm (d) 42 cm
3. 3.₹1000 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹1080 (b) ₹400 (c) ₹1480 (d) ₹1400
4. 4.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 48 cm
5. 5.A shopkeeper buys a toy for ₹860 and sells it for ₹1290. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
6. 6.What is 30% of 100? (a) 70 (b) 60 (c) 300 (d) 30
7. 7.A teacher has 12 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 16 (c) 2 (d) 4
8. 8.Which fraction is greater: 2/3 or 5/6? (a) 5/6 (b) 2/3 (c) They are equal
9. 9.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 62 (b) 57 (c) 33 (d) 28
10. 10.If 8 May is a Wednesday, what day of the week is 24 May? (a) Thursday (b) Friday (c) Saturday (d) Sunday
11. 11.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 27 (b) 56 (c) 16 (d) 15
12. 12.In how many years will ₹2500 earn ₹900 simple interest at 9% per year? (a) 4 years (b) 8 years (c) 5 years (d) 3 years
13. 13.What is the remainder when 469 is divided by 9? (a) 2 (b) 8 (c) 0 (d) 1
14. 14.A shopkeeper buys a toy for ₹240 and sells it for ₹300. What is his profit percent? (a) 30% (b) 25% (c) 60% (d) 20%
15. 15.Today is Tuesday. What day of the week will it be after 80 days? (a) Sunday (b) Friday (c) Thursday (d) Saturday
16. 16.What is the simple interest on ₹3500 at 10% per year for 2 years? (a) ₹700 (b) ₹1050 (c) ₹350 (d) ₹4200
17. 17.In how many years will ₹5500 earn ₹550 simple interest at 5% per year? (a) 3 years (b) 2 years (c) 4 years (d) 1 year
18. 18.6/9 + 2/6 = ? (a) 19/18 (b) 17/18 (c) 8/15 (d) 1
19. 19.In how many years will ₹3500 earn ₹280 simple interest at 2% per year? (a) 5 years (b) 8 years (c) 4 years (d) 3 years
20. 20.What is the average of all the whole numbers from 5 to 33? (a) 14 (b) 28 (c) 20 (d) 19
21. 21.If x/5 + 8 = 12, what is x? (a) 20 (b) 4 (c) 52 (d) 100
22. 22.What is the remainder when 562 is divided by 9? (a) 6 (b) 4 (c) 3 (d) 5
23. 23.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 120 sq cm (c) 100 sq cm (d) 50 sq cm
24. 24.What is 1/2 of 24? (a) 24 (b) 11 (c) 13 (d) 12
25. 25.1/2 + 1/2 = ? (a) 1 (b) 1/2 (c) 3/2 (d) 2
26. 26.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) 5 min (b) 300 min (c) 35 min (d) 60 min
27. 27.What is the average of 78, 72, 82 and 88? (a) 82 (b) 80 (c) 79 (d) 81
28. 28.Every pair follows the same rule: 2 : 8, 3 : 12, 8 : 32. What is 6 : ? (a) 25 (b) 23 (c) 12 (d) 24
29. 29.What is the value of the digit 2 in 82.791? (a) 2 (b) 0.2 (c) 20 (d) 0.02
30. 30.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 21 (b) 22 (c) 77 (d) 36
31. 31.If 7x + 15 = 4x + 33, what is x? (a) 16 (b) 7 (c) 8 (d) 6
32. 32.In how many years will ₹2500 earn ₹600 simple interest at 12% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
33. 33.What is 30% of 800? (a) 480 (b) 240 (c) 2400 (d) 560
34. 34.What is the simple interest on ₹4500 at 3% per year for 2 years? (a) ₹405 (b) ₹4770 (c) ₹135 (d) ₹270
35. 35.What is the average of all the whole numbers from 16 to 56? (a) 20 (b) 36 (c) 37 (d) 40
36. 36.What is the remainder when 658 is divided by 9? (a) 0 (b) 8 (c) 2 (d) 1
37. 37.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 18 (b) 54 (c) 36 (d) 15
38. 38.Which is the greatest: 0.061, 0.6, 0.68, 0.516? (a) 0.061 (b) 0.6 (c) 0.68 (d) 0.516
39. 39.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 140 (b) 55 (c) 700 (d) 280
40. 40.A shopkeeper buys a toy for ₹300 and sells it for ₹210. What is his loss percent? (a) 25% (b) 90% (c) 30% (d) 35%

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