Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 269 · 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.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 169 sq cm (c) 25 sq cm (d) 50 sq cm
2. 2.Which of these numbers is divisible by 9? (a) 2490 (b) 2493 (c) 2507 (d) 2498
3. 3.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 48 sq cm (c) 15 sq cm (d) 36 sq cm
4. 4.A bag marked ₹880 is sold at a 40% discount. What is its selling price? (a) ₹352 (b) ₹528 (c) ₹1232 (d) ₹840
5. 5.Today is Monday. What day of the week will it be after 97 days? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
6. 6.What is the units digit of 4^36? (a) 7 (b) 6 (c) 4 (d) 5
7. 7.The simple interest on ₹6000 for 3 years is ₹1980. What is the rate per year? (a) 12% (b) 33% (c) 11% (d) 10%
8. 8.A bag marked ₹880 is sold at a 30% discount. What is its selling price? (a) ₹264 (b) ₹1144 (c) ₹616 (d) ₹850
9. 9.What is 5/9 of 108? (a) 12 (b) 48 (c) 60 (d) 72
10. 10.Every pair follows the same rule: 3 : 14, 6 : 29, 8 : 39. What is 2 : ? (a) 13 (b) 9 (c) 10 (d) 8
11. 11.Which fraction is greater: 1/3 or 1/9? (a) 1/3 (b) They are equal (c) 1/9
12. 12.The simple interest on ₹8000 for 5 years is ₹4400. What is the rate per year? (a) 10% (b) 12% (c) 11% (d) 55%
13. 13.If 3x − 6 = 30, what is x? (a) 13 (b) 8 (c) 36 (d) 12
14. 14.A bag marked ₹1440 is sold at a 40% discount. What is its selling price? (a) ₹864 (b) ₹1400 (c) ₹576 (d) ₹2016
15. 15.Which is the greatest: 0.8, 0.88, 0.724, 0.018? (a) 0.8 (b) 0.88 (c) 0.724 (d) 0.018
16. 16.Which is the smallest: 0.637, 0.73, 0.7, 0.093? (a) 0.637 (b) 0.73 (c) 0.7 (d) 0.093
17. 17.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 36 (c) 35 (d) 57
18. 18.What is the value of the digit 6 in 79.645? (a) 6 (b) 0.06 (c) 0.006 (d) 0.6
19. 19.If 22 August is a Monday, what day of the week is 17 September? (a) Saturday (b) Friday (c) Monday (d) Sunday
20. 20.4 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 21 days (c) 6 days (d) 7 days
21. 21.Two ribbons are 40 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 4 cm (c) 40 cm (d) 32 cm
22. 22.What is the smallest number you must add to 119 to make it divisible by 4? (a) 2 (b) 3 (c) 1
23. 23.What is the units digit of 4^13? (a) 6 (b) 4 (c) 3 (d) 5
24. 24.Every pair follows the same rule: 3 : 12, 4 : 16, 6 : 24. What is 7 : ? (a) 29 (b) 16 (c) 27 (d) 28
25. 25.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
26. 26.₹2500 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹2700 (b) ₹3500 (c) ₹800 (d) ₹3300
27. 27.If 5 notebooks cost ₹35, how much do 3 notebooks cost? (a) ₹33 (b) ₹21 (c) ₹28 (d) ₹105
28. 28.4.71 + 9.4 = ? (a) 14.21 (b) 5.65 (c) 14.11 (d) 14.01
29. 29.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 40 (b) 14 (c) 20 (d) 21
30. 30.If 7x − 1 = 76, what is x? (a) 77 (b) 10 (c) 11 (d) 12
31. 31.If 6 January is a Saturday, what day of the week is 19 January? (a) Sunday (b) Friday (c) Thursday (d) Saturday
32. 32.Today is Sunday. What day of the week will it be after 99 days? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
33. 33.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 36 (b) 17 (c) 12 (d) 11
34. 34.What is 1/2 of 18? (a) 9 (b) 18 (c) 10 (d) 8
35. 35.Every pair follows the same rule: 5 : 16, 6 : 17, 9 : 20. What is 4 : ? (a) 14 (b) 17 (c) 16 (d) 15
36. 36.What is 7/8 of 72? (a) 63 (b) 64 (c) 9 (d) 72
37. 37.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 1 : ? (a) 7 (b) 2 (c) 4 (d) 1
38. 38.What is the remainder when 161 is divided by 6? (a) 1 (b) 4 (c) 3 (d) 5
39. 39.What is the average of 51, 27, 42, 45, 52 and 11? (a) 40 (b) 37 (c) 39 (d) 38
40. 40.Two ribbons are 27 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 27 cm (c) 108 cm (d) 9 cm

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