Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 597 · 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.If 8 kites cost ₹72, how much do 9 kites cost? (a) ₹648 (b) ₹73 (c) ₹90 (d) ₹81
2. 2.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 23 (b) 43 (c) 15 (d) 35
3. 3.₹75 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹51 (b) ₹25 (c) ₹75 (d) ₹50
4. 4.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 50 cm (c) 30 cm (d) 25 cm
5. 5.What is 2/3 of 6? (a) 4 (b) 6 (c) 2 (d) 5
6. 6.Every pair follows the same rule: 2 : 6, 3 : 9, 8 : 24. What is 7 : ? (a) 11 (b) 21 (c) 22 (d) 20
7. 7.What is the simple interest on ₹9000 at 10% per year for 3 years? (a) ₹900 (b) ₹3600 (c) ₹2700 (d) ₹11700
8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
9. 9.4/6 + 4/9 = ? (a) 7/6 (b) 19/18 (c) 10/9 (d) 8/15
10. 10.In how many years will ₹7500 earn ₹450 simple interest at 2% per year? (a) 4 years (b) 6 years (c) 2 years (d) 3 years
11. 11.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 7 : ? (a) 49 (b) 37 (c) 14 (d) 9
12. 12.Which fraction is greater: 9/11 or 2/7? (a) 9/11 (b) 2/7 (c) They are equal
13. 13.If x/5 + 11 = 16, what is x? (a) 135 (b) 5 (c) 25 (d) 69
14. 14.If 10 March is a Wednesday, what day of the week is 2 April? (a) Saturday (b) Thursday (c) Sunday (d) Friday
15. 15.A bag marked ₹1980 is sold at a 25% discount. What is its selling price? (a) ₹1955 (b) ₹1485 (c) ₹2475 (d) ₹495
16. 16.Every pair follows the same rule: 3 : 9, 6 : 36, 8 : 64. What is 5 : ? (a) 15 (b) 11 (c) 22 (d) 25
17. 17.What is 3/4 of 8? (a) 8 (b) 7 (c) 6 (d) 2
18. 18.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 6 : ? (a) 12 (b) 18 (c) 36 (d) 34
19. 19.1/8 + 2/8 = ? (a) 3/16 (b) 1/4 (c) 3/8 (d) 1/2
20. 20.What is the average of all the whole numbers from 38 to 70? (a) 16 (b) 32 (c) 55 (d) 54
21. 21.What is the average of all the whole numbers from 46 to 58? (a) 53 (b) 12 (c) 6 (d) 52
22. 22.What is the remainder when 767 is divided by 11? (a) 3 (b) 8 (c) 7 (d) 9
23. 23.Two ribbons are 30 cm and 35 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) 210 cm (c) 5 cm (d) 30 cm
24. 24.What is 5/6 of 12? (a) 11 (b) 2 (c) 12 (d) 10
25. 25.Today is Thursday. What day of the week will it be after 55 days? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
26. 26.If 3x + 24 = 57, what is x? (a) 33 (b) 11 (c) 27 (d) 12
27. 27.Two ribbons are 54 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 378 cm (b) 54 cm (c) 9 cm (d) 3 cm
28. 28.What is the simple interest on ₹5500 at 2% per year for 4 years? (a) ₹5940 (b) ₹440 (c) ₹550 (d) ₹110
29. 29.If 13 August is a Thursday, what day of the week is 25 August? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
30. 30.What is the smallest number you must add to 689 to make it divisible by 11? (a) 7 (b) 5 (c) 3 (d) 4
31. 31.If 2 July is a Friday, what day of the week is 13 July? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
32. 32.₹111 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹111 (b) ₹75 (c) ₹74 (d) ₹37
33. 33.A shopkeeper buys a toy for ₹140 and sells it for ₹196. What is his profit percent? (a) 40% (b) 56% (c) 35% (d) 45%
34. 34.Which of these numbers is divisible by 11? (a) 8945 (b) 8943 (c) 8938 (d) 8963
35. 35.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 21%
36. 36.If 8x + 10 = 26, what is x? (a) 16 (b) 3 (c) 1 (d) 2
37. 37.Which fraction is greater: 1/11 or 6/7? (a) They are equal (b) 1/11 (c) 6/7
38. 38.₹5500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹6160 (b) ₹7480 (c) ₹1980 (d) ₹8140
39. 39.₹36 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹36 (b) ₹6 (c) ₹18 (d) ₹30
40. 40.What is the value of the digit 1 in 27.315? (a) 0.01 (b) 0.001 (c) 0.1 (d) 1

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