Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 10 · 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 1 August is a Thursday, what day of the week is 12 August? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
2. 2.What is 50% of 40? (a) 200 (b) 21 (c) 20 (d) 40
3. 3.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 35% (b) 45% (c) 96% (d) 40%
4. 4.3.91 + 6.3 = ? (a) 4.54 (b) 10.31 (c) 10.11 (d) 10.21
5. 5.Which fraction is greater: 5/6 or 1/3? (a) 1/3 (b) They are equal (c) 5/6
6. 6.What is the units digit of 7^58? (a) 3 (b) 7 (c) 1 (d) 9
7. 7.₹9500 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹4180 (b) ₹10545 (c) ₹14725 (d) ₹13680
8. 8.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 2 cm (d) 3 cm
9. 9.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 27 (b) 3 (c) 28 (d) 47
10. 10.₹360 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹180 (b) ₹36 (c) ₹252 (d) ₹108
11. 11.Which fraction is greater: 2/9 or 5/7? (a) They are equal (b) 2/9 (c) 5/7
12. 12.What is the simple interest on ₹4500 at 8% per year for 4 years? (a) ₹1440 (b) ₹5940 (c) ₹1800 (d) ₹360
13. 13.What is the units digit of 8^42? (a) 2 (b) 4 (c) 6 (d) 8
14. 14.What is 6/7 of 49? (a) 49 (b) 43 (c) 7 (d) 42
15. 15.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 40 (b) 75 (c) 375 (d) 150
16. 16.What is the average of 36, 60, 66, 42, 52 and 50? (a) 53 (b) 50 (c) 51 (d) 52
17. 17.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 23 sq cm (d) 126 sq cm
18. 18.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 5% (b) 11% (c) 15% (d) 10%
19. 19.What is the simple interest on ₹6000 at 2% per year for 5 years? (a) ₹120 (b) ₹720 (c) ₹6600 (d) ₹600
20. 20.3.55 + 3.5 = ? (a) 3.9 (b) 6.95 (c) 7.15 (d) 7.05
21. 21.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 90 (b) 33 (c) 270 (d) 180
22. 22.The simple interest on ₹6500 for 5 years is ₹1300. What is the rate per year? (a) 20% (b) 5% (c) 3% (d) 4%
23. 23.What is the value of the digit 7 in 73.284? (a) 0.7 (b) 7 (c) 70 (d) 0.07
24. 24.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 27 (c) 63 (d) 42
25. 25.If 3 pens cost ₹63, how much do 10 pens cost? (a) ₹231 (b) ₹630 (c) ₹210 (d) ₹70
26. 26.₹195 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹75 (b) ₹135 (c) ₹15 (d) ₹120
27. 27.If 9x + 26 = 116, what is x? (a) 10 (b) 11 (c) 9 (d) 90
28. 28.Which of these numbers is divisible by 3? (a) 2692 (b) 2691 (c) 2690 (d) 2696
29. 29.A shopkeeper buys a toy for ₹820 and sells it for ₹738. What is his loss percent? (a) 10% (b) 5% (c) 82% (d) 15%
30. 30.4 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 5 days (d) 25 days
31. 31.What is the average of 34, 56, 43, 49, 39 and 37? (a) 44 (b) 42 (c) 45 (d) 43
32. 32.What is the remainder when 627 is divided by 12? (a) 4 (b) 9 (c) 3 (d) 2
33. 33.Which of these numbers is divisible by 11? (a) 6160 (b) 6158 (c) 6174 (d) 6169
34. 34.What is 2/9 of 45? (a) 10 (b) 15 (c) 5 (d) 35
35. 35.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 36 (c) 10 (d) 38
36. 36.Which fraction is greater: 1/12 or 7/9? (a) 1/12 (b) They are equal (c) 7/9
37. 37.If 2 December is a Monday, what day of the week is 12 December? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
38. 38.Which of these numbers is divisible by 9? (a) 7446 (b) 7454 (c) 7438 (d) 7443
39. 39.Today is Wednesday. What day of the week will it be after 76 days? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
40. 40.Which fraction is greater: 1/8 or 2/3? (a) They are equal (b) 1/8 (c) 2/3

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