Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 848 · 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 average of 6 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 30 (b) 29 (c) 102 (d) 49
2. 2.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 11 days (c) 10 days (d) 4 days
3. 3.If 14 May is a Wednesday, what day of the week is 29 May? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
4. 4.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 1 day (b) 9 days (c) 10 days (d) 11 days
5. 5.A teacher has 45 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 45 (c) 9 (d) 18
6. 6.What is 2/3 of 21? (a) 21 (b) 7 (c) 15 (d) 14
7. 7.What is 4/5 of 40? (a) 32 (b) 40 (c) 8 (d) 33
8. 8.Which of these numbers is divisible by 4? (a) 2174 (b) 2169 (c) 2166 (d) 2168
9. 9.What is the simple interest on ₹3500 at 3% per year for 5 years? (a) ₹525 (b) ₹105 (c) ₹4025 (d) ₹630
10. 10.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
11. 11.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) 280 (c) 55 (d) 700
12. 12.Two ribbons are 10 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 5 cm (c) 1 cm (d) 30 cm
13. 13.A bag marked ₹1460 is sold at a 20% discount. What is its selling price? (a) ₹1440 (b) ₹1168 (c) ₹292 (d) ₹1752
14. 14.Every pair follows the same rule: 3 : 14, 6 : 26, 9 : 38. What is 8 : ? (a) 35 (b) 33 (c) 19 (d) 34
15. 15.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 72 min (c) 42 min (d) 432 min
16. 16.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 21 (c) 71 (d) 55
17. 17.₹3500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹1400 (b) ₹3850 (c) ₹4900 (d) ₹5250
18. 18.If 4 December is a Thursday, what day of the week is 15 December? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
19. 19.If 4x + 10 = 2x + 14, what is x? (a) 2 (b) 3 (c) 4 (d) 12
20. 20.Every pair follows the same rule: 5 : 32, 6 : 43, 7 : 56. What is 9 : ? (a) 36 (b) 88 (c) 89 (d) 82
21. 21.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 70 sq cm (d) 32 sq cm
22. 22.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 6 (b) 10 (c) 5 (d) 21
23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
24. 24.If 7 mangoes cost ₹49, how much do 6 mangoes cost? (a) ₹49 (b) ₹294 (c) ₹48 (d) ₹42
25. 25.What is the simple interest on ₹4500 at 3% per year for 3 years? (a) ₹540 (b) ₹135 (c) ₹405 (d) ₹4905
26. 26.What is 5% of 80? (a) 8 (b) 4 (c) 40 (d) 76
27. 27.What is the average of 15, 42, 14, 28, 16 and 47? (a) 27 (b) 28 (c) 26 (d) 29
28. 28.What is the average of all the whole numbers from 10 to 18? (a) 15 (b) 4 (c) 8 (d) 14
29. 29.What is the value of the digit 9 in 71.952? (a) 9 (b) 0.09 (c) 0.009 (d) 0.9
30. 30.If x/6 + 14 = 18, what is x? (a) 192 (b) 4 (c) 94 (d) 24
31. 31.In how many years will ₹3000 earn ₹600 simple interest at 5% per year? (a) 8 years (b) 5 years (c) 4 years (d) 3 years
32. 32.If 6x + 7 = 97, what is x? (a) 90 (b) 14 (c) 15 (d) 16
33. 33.What is 2/5 of 15? (a) 9 (b) 6 (c) 3 (d) 7
34. 34.Every pair follows the same rule: 2 : 10, 5 : 25, 6 : 30. What is 8 : ? (a) 39 (b) 41 (c) 16 (d) 40
35. 35.If 12 March is a Monday, what day of the week is 12 April? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
36. 36.1.84 + 5.7 = ? (a) 2.41 (b) 7.54 (c) 7.64 (d) 7.44
37. 37.₹490 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹175 (b) ₹35 (c) ₹315 (d) ₹245
38. 38.A teacher has 15 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 1 (c) 20 (d) 15
39. 39.The simple interest on ₹5000 for 2 years is ₹600. What is the rate per year? (a) 12% (b) 6% (c) 7% (d) 5%
40. 40.What is 40% of 60? (a) 48 (b) 24 (c) 36 (d) 240

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