Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 868 · 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.What is the remainder when 382 is divided by 12? (a) 2 (b) 11 (c) 10 (d) 9
2. 2.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 120 cm
3. 3.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 4 cm (c) 8 cm (d) 5 cm
4. 4.A bag marked ₹940 is sold at a 10% discount. What is its selling price? (a) ₹94 (b) ₹846 (c) ₹930 (d) ₹1034
5. 5.If 5 December is a Tuesday, what day of the week is 16 December? (a) Sunday (b) Monday (c) Friday (d) Saturday
6. 6.What is 50% of 180? (a) 900 (b) 180 (c) 91 (d) 90
7. 7.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 48 sq cm (c) 19 sq cm (d) 64 sq cm
8. 8.What is the simple interest on ₹3500 at 5% per year for 5 years? (a) ₹1050 (b) ₹875 (c) ₹4375 (d) ₹175
9. 9.What is the smallest number you must add to 76 to make it divisible by 5? (a) 3 (b) 2 (c) 1 (d) 4
10. 10.What is the remainder when 647 is divided by 9? (a) 8 (b) 7 (c) 1 (d) 6
11. 11.Which fraction is greater: 2/5 or 2/3? (a) 2/3 (b) They are equal (c) 2/5
12. 12.If 9x + 9 = 45, what is x? (a) 36 (b) 4 (c) 6 (d) 5
13. 13.What is the average of all the whole numbers from 7 to 31? (a) 20 (b) 19 (c) 12 (d) 24
14. 14.4.47 + 1.9 = ? (a) 4.66 (b) 6.27 (c) 6.47 (d) 6.37
15. 15.If 4x + 9 = 49, what is x? (a) 11 (b) 10 (c) 9 (d) 40
16. 16.Which fraction is greater: 1/12 or 2/3? (a) 2/3 (b) 1/12 (c) They are equal
17. 17.Every pair follows the same rule: 2 : 17, 6 : 33, 8 : 41. What is 4 : ? (a) 26 (b) 24 (c) 19 (d) 25
18. 18.₹2500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹3125 (b) ₹625 (c) ₹2625 (d) ₹3250
19. 19.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 10% (b) 15% (c) 84% (d) 20%
20. 20.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 500 (b) 200 (c) 45 (d) 100
21. 21.If 18 September is a Tuesday, what day of the week is 15 October? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
22. 22.Today is Tuesday. What day of the week will it be after 97 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
23. 23.Which fraction is greater: 2/5 or 1/6? (a) They are equal (b) 2/5 (c) 1/6
24. 24.What is the remainder when 741 is divided by 11? (a) 4 (b) 5 (c) 7 (d) 3
25. 25.Every pair follows the same rule: 5 : 28, 6 : 39, 9 : 84. What is 3 : ? (a) 12 (b) 13 (c) 26 (d) 11
26. 26.1/2 + 2/4 = ? (a) 1 (b) 3/4 (c) 1/2 (d) 5/4
27. 27.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 192 (b) 28 (c) 48 (d) 96
28. 28.7.41 + 9.9 = ? (a) 8.4 (b) 17.41 (c) 17.31 (d) 17.21
29. 29.What is the simple interest on ₹2500 at 10% per year for 4 years? (a) ₹3500 (b) ₹250 (c) ₹1000 (d) ₹1250
30. 30.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 110 sq cm (c) 40 sq cm (d) 99 sq cm
31. 31.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 44 cm (c) 117 cm (d) 22 cm
32. 32.If 2 May is a Saturday, what day of the week is 17 May? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
33. 33.The simple interest on ₹4500 for 2 years is ₹630. What is the rate per year? (a) 7% (b) 14% (c) 6% (d) 8%
34. 34.The simple interest on ₹5000 for 2 years is ₹1100. What is the rate per year? (a) 22% (b) 12% (c) 11% (d) 10%
35. 35.What is 1/8 of 48? (a) 42 (b) 12 (c) 7 (d) 6
36. 36.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 16%
37. 37.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 750 min (b) 5 min (c) 55 min (d) 150 min
38. 38.What is the remainder when 94 is divided by 3? (a) 2 (b) 1 (c) 0
39. 39.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 4 : ? (a) 90 (b) 10 (c) 64 (d) 16
40. 40.A bag marked ₹1920 is sold at a 10% discount. What is its selling price? (a) ₹192 (b) ₹2112 (c) ₹1728 (d) ₹1910

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