Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 521 · 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 ribbons are 21 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 84 cm (c) 21 cm (d) 7 cm
2. 2.Today is Wednesday. What day of the week will it be after 33 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
3. 3.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 81%
4. 4.The simple interest on ₹3000 for 4 years is ₹1440. What is the rate per year? (a) 48% (b) 12% (c) 11% (d) 13%
5. 5.₹152 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹57 (b) ₹19 (c) ₹76 (d) ₹95
6. 6.What is the simple interest on ₹1000 at 5% per year for 3 years? (a) ₹200 (b) ₹50 (c) ₹150 (d) ₹1150
7. 7.If 15 March is a Tuesday, what day of the week is 12 April? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
8. 8.The simple interest on ₹7500 for 5 years is ₹3000. What is the rate per year? (a) 7% (b) 9% (c) 8% (d) 40%
9. 9.If 6 July is a Monday, what day of the week is 16 July? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
10. 10.Which is the smallest: 0.162, 0.25, 0.075, 0.2? (a) 0.162 (b) 0.25 (c) 0.075 (d) 0.2
11. 11.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 10 cm (d) 9 cm
12. 12.If 7x + 10 = 3x + 42, what is x? (a) 10 (b) 9 (c) 13 (d) 8
13. 13.If 6x − 53 = 37, what is x? (a) 16 (b) 14 (c) 15 (d) 90
14. 14.If 6x + 5 = 89, what is x? (a) 84 (b) 15 (c) 13 (d) 14
15. 15.If 10 August is a Wednesday, what day of the week is 25 August? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
16. 16.In how many years will ₹5500 earn ₹550 simple interest at 2% per year? (a) 4 years (b) 6 years (c) 10 years (d) 5 years
17. 17.A bag marked ₹1260 is sold at a 20% discount. What is its selling price? (a) ₹1240 (b) ₹1512 (c) ₹252 (d) ₹1008
18. 18.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 4 days (c) 5 days (d) 16 days
19. 19.If 9x + 16 = 5x + 32, what is x? (a) 5 (b) 4 (c) 12 (d) 6
20. 20.If 1 January is a Friday, what day of the week is 10 January? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
21. 21.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 63 sq cm (c) 16 sq cm (d) 72 sq cm
22. 22.What is 10% of 760? (a) 152 (b) 76 (c) 760 (d) 684
23. 23.Two ribbons are 24 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 24 cm (c) 3 cm (d) 6 cm
24. 24.What is the remainder when 709 is divided by 11? (a) 5 (b) 4 (c) 7 (d) 6
25. 25.The simple interest on ₹5500 for 3 years is ₹1485. What is the rate per year? (a) 9% (b) 27% (c) 10% (d) 8%
26. 26.What is the average of 22, 45, 52 and 29? (a) 39 (b) 37 (c) 36 (d) 38
27. 27.A teacher has 27 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 27 (c) 3 (d) 45
28. 28.What is the value of the digit 7 in 43.687? (a) 0.007 (b) 0.7 (c) 0.07 (d) 7
29. 29.If 3 May is a Wednesday, what day of the week is 13 May? (a) Saturday (b) Monday (c) Sunday (d) Friday
30. 30.7.67 + 7.9 = ? (a) 8.46 (b) 15.57 (c) 15.67 (d) 15.47
31. 31.Today is Sunday. What day of the week will it be after 26 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
32. 32.A bag marked ₹1640 is sold at a 10% discount. What is its selling price? (a) ₹1630 (b) ₹1804 (c) ₹1476 (d) ₹164
33. 33.Every pair follows the same rule: 3 : 13, 4 : 17, 9 : 37. What is 7 : ? (a) 30 (b) 28 (c) 17 (d) 29
34. 34.What is 1/2 of 6? (a) 2 (b) 4 (c) 6 (d) 3
35. 35.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 120 sq cm (d) 132 sq cm
36. 36.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 75 min (c) 5 min (d) 375 min
37. 37.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 20 min (c) 96 min (d) 4 min
38. 38.What is the units digit of 4^18? (a) 4 (b) 7 (c) 6 (d) 5
39. 39.If 6x + 28 = 82, what is x? (a) 10 (b) 8 (c) 54 (d) 9
40. 40.If 7x + 20 = 6x + 24, what is x? (a) 4 (b) 6 (c) 5 (d) 44

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