Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 449 · 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 22 September is a Wednesday, what day of the week is 13 October? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
2. 2.Which of these numbers is divisible by 3? (a) 2009 (b) 2011 (c) 2007 (d) 2005
3. 3.A shopkeeper buys a toy for ₹600 and sells it for ₹450. What is his loss percent? (a) 25% (b) 30% (c) 26% (d) 20%
4. 4.₹238 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹85 (b) ₹153 (c) ₹119 (d) ₹17
5. 5.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 51 (b) 80 (c) 43 (d) 115
6. 6.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
7. 7.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 378 min (b) 39 min (c) 3 min (d) 126 min
8. 8.Which of these numbers is divisible by 3? (a) 689 (b) 690 (c) 691 (d) 695
9. 9.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 30 (b) 16 (c) 31 (d) 60
10. 10.What is the smallest number you must add to 152 to make it divisible by 3? (a) 2 (b) 1
11. 11.If 4x − 14 = 34, what is x? (a) 5 (b) 48 (c) 12 (d) 13
12. 12.Which is the smallest: 0.568, 0.67, 0.6, 0.099? (a) 0.568 (b) 0.67 (c) 0.6 (d) 0.099
13. 13.1.43 + 1.1 = ? (a) 1.54 (b) 2.63 (c) 2.53 (d) 2.43
14. 14.Today is Saturday. What day of the week will it be after 31 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
15. 15.What is 1/2 of 10? (a) 4 (b) 6 (c) 10 (d) 5
16. 16.In how many years will ₹7000 earn ₹560 simple interest at 4% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
17. 17.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 20 (c) 16 (d) 24
18. 18.If 7x + 9 = 6x + 17, what is x? (a) 9 (b) 8 (c) 10 (d) 26
19. 19.If 2x + 24 = 42, what is x? (a) 18 (b) 33 (c) 9 (d) 10
20. 20.₹230 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹23 (b) ₹207 (c) ₹230 (d) ₹115
21. 21.₹1000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹1040 (b) ₹80 (c) ₹1120 (d) ₹1080
22. 22.Which fraction is greater: 3/4 or 1/3? (a) 3/4 (b) They are equal (c) 1/3
23. 23.What is the value of the digit 4 in 16.594? (a) 0.04 (b) 0.4 (c) 0.004 (d) 4
24. 24.₹10000 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹13200 (b) ₹2400 (c) ₹12400 (d) ₹10800
25. 25.Every pair follows the same rule: 2 : 12, 3 : 18, 9 : 54. What is 6 : ? (a) 37 (b) 16 (c) 36 (d) 35
26. 26.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 25 sq cm (c) 126 sq cm (d) 50 sq cm
27. 27.A shopkeeper buys a toy for ₹120 and sells it for ₹144. What is his profit percent? (a) 25% (b) 15% (c) 24% (d) 20%
28. 28.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
29. 29.If 5x + 30 = 45, what is x? (a) 15 (b) 4 (c) 2 (d) 3
30. 30.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 180 (b) 48 (c) 540 (d) 90
31. 31.If 15 May is a Thursday, what day of the week is 26 May? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
32. 32.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 40 (b) 35 (c) 81 (d) 34
33. 33.Two ribbons are 48 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 48 cm (c) 12 cm (d) 6 cm
34. 34.If 6x + 16 = 100, what is x? (a) 13 (b) 84 (c) 14 (d) 15
35. 35.What is 1/5 of 55? (a) 12 (b) 11 (c) 44 (d) 22
36. 36.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 20 sq cm (d) 10 sq cm
37. 37.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 22 cm (d) 11 cm
38. 38.Every pair follows the same rule: 2 : 2, 7 : 47, 8 : 62. What is 5 : ? (a) 17 (b) 23 (c) 5 (d) 24
39. 39.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 1 : ? (a) 7 (b) 4 (c) 2 (d) 1
40. 40.A bag marked ₹380 is sold at a 30% discount. What is its selling price? (a) ₹350 (b) ₹494 (c) ₹114 (d) ₹266

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