Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 810 · 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 bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 27 min (c) 42 min (d) 126 min
2. 2.₹2500 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹3100 (b) ₹3400 (c) ₹2800 (d) ₹600
3. 3.A teacher has 30 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 50 (b) 30 (c) 10 (d) 5
4. 4.If 3 notebooks cost ₹51, how much do 9 notebooks cost? (a) ₹57 (b) ₹459 (c) ₹153 (d) ₹170
5. 5.3/7 + 2/5 = ? (a) 4/5 (b) 29/35 (c) 5/12 (d) 6/7
6. 6.₹1000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹240 (b) ₹1240 (c) ₹1360 (d) ₹1120
7. 7.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 84 min (c) 33 min (d) 252 min
8. 8.Which is the smallest: 0.571, 0.6, 0.021, 0.62? (a) 0.571 (b) 0.6 (c) 0.021 (d) 0.62
9. 9.8.23 + 4.6 = ? (a) 12.83 (b) 8.69 (c) 12.73 (d) 12.93
10. 10.What is the value of the digit 4 in 46.532? (a) 0.04 (b) 4 (c) 0.4 (d) 40
11. 11.If 6x − 28 = 32, what is x? (a) 60 (b) 9 (c) 11 (d) 10
12. 12.If 10 October is a Tuesday, what day of the week is 22 October? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
13. 13.Which fraction is greater: 3/11 or 3/8? (a) 3/8 (b) They are equal (c) 3/11
14. 14.If 2x − 2 = 2, what is x? (a) 3 (b) 4 (c) 1 (d) 2
15. 15.₹144 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹72 (b) ₹18 (c) ₹126 (d) ₹144
16. 16.In how many years will ₹2500 earn ₹675 simple interest at 9% per year? (a) 6 years (b) 3 years (c) 2 years (d) 4 years
17. 17.If 25 July is a Tuesday, what day of the week is 18 August? (a) Thursday (b) Friday (c) Sunday (d) Saturday
18. 18.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 56 (b) 22 (c) 112 (d) 57
19. 19.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 21 days (c) 11 days (d) 20 days
20. 20.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 4 cm (d) 5 cm
21. 21.What is the average of 22, 27, 26, 47, 20 and 62? (a) 33 (b) 35 (c) 36 (d) 34
22. 22.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 12 cm (d) 24 cm
23. 23.₹4000 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹4480 (b) ₹5920 (c) ₹5440 (d) ₹1440
24. 24.A bag marked ₹1200 is sold at a 30% discount. What is its selling price? (a) ₹1560 (b) ₹1170 (c) ₹360 (d) ₹840
25. 25.If 26 September is a Friday, what day of the week is 11 October? (a) Monday (b) Saturday (c) Sunday (d) Friday
26. 26.What is the simple interest on ₹1500 at 10% per year for 2 years? (a) ₹450 (b) ₹150 (c) ₹300 (d) ₹1800
27. 27.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 24 (c) 38 (d) 54
28. 28.₹154 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹11 (b) ₹99 (c) ₹55 (d) ₹77
29. 29.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 44 (b) 112 (c) 448 (d) 224
30. 30.What is the simple interest on ₹3500 at 3% per year for 2 years? (a) ₹210 (b) ₹3710 (c) ₹105 (d) ₹315
31. 31.9.02 + 2.9 = ? (a) 11.92 (b) 12.02 (c) 9.31 (d) 11.82
32. 32.Every pair follows the same rule: 7 : 42, 8 : 47, 9 : 52. What is 5 : ? (a) 40 (b) 33 (c) 32 (d) 30
33. 33.Which fraction is greater: 3/4 or 2/5? (a) They are equal (b) 2/5 (c) 3/4
34. 34.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 34 (c) 16 (d) 40
35. 35.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 54% (b) 5% (c) 10% (d) 15%
36. 36.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 11 days (c) 26 days (d) 15 days
37. 37.1/2 + 1/5 = ? (a) 4/5 (b) 2/7 (c) 3/5 (d) 7/10
38. 38.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
39. 39.What is the value of the digit 8 in 48.621? (a) 0.08 (b) 80 (c) 0.8 (d) 8
40. 40.₹132 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹48 (b) ₹84 (c) ₹12 (d) ₹66

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