Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 121 · 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.₹240 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹72 (b) ₹120 (c) ₹168 (d) ₹24
2. 2.Every pair follows the same rule: 4 : 27, 5 : 32, 8 : 47. What is 9 : ? (a) 51 (b) 52 (c) 53 (d) 32
3. 3.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
4. 4.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 22 sq cm (d) 11 sq cm
5. 5.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 25 cm (d) 32 cm
6. 6.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 22 cm (d) 24 cm
7. 7.What is the simple interest on ₹6500 at 7% per year for 5 years? (a) ₹455 (b) ₹2275 (c) ₹8775 (d) ₹2730
8. 8.If 14 March is a Sunday, what day of the week is 7 April? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
9. 9.What is the remainder when 178 is divided by 4? (a) 1 (b) 3 (c) 2 (d) 0
10. 10.If 3 pens cost ₹12, how much do 4 pens cost? (a) ₹13 (b) ₹48 (c) ₹20 (d) ₹16
11. 11.What is the value of the digit 1 in 18.546? (a) 0.01 (b) 1 (c) 0.1 (d) 10
12. 12.What is the average of all the whole numbers from 34 to 62? (a) 49 (b) 14 (c) 48 (d) 28
13. 13.If 3 mangoes cost ₹18, how much do 2 mangoes cost? (a) ₹17 (b) ₹18 (c) ₹36 (d) ₹12
14. 14.Every pair follows the same rule: 4 : 13, 6 : 33, 9 : 78. What is 3 : ? (a) 7 (b) 5 (c) 6 (d) 12
15. 15.What is the value of the digit 1 in 14.968? (a) 10 (b) 1 (c) 0.1 (d) 0.01
16. 16.What is the average of 25, 29, 29 and 65? (a) 36 (b) 38 (c) 39 (d) 37
17. 17.If 12 April is a Monday, what day of the week is 7 May? (a) Friday (b) Sunday (c) Saturday (d) Thursday
18. 18.Today is Sunday. What day of the week will it be after 62 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
19. 19.8.58 + 5.8 = ? (a) 9.16 (b) 14.48 (c) 14.38 (d) 14.28
20. 20.If 14 October is a Tuesday, what day of the week is 16 November? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
21. 21.The simple interest on ₹3000 for 3 years is ₹990. What is the rate per year? (a) 10% (b) 33% (c) 11% (d) 12%
22. 22.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 22 sq cm (c) 26 sq cm (d) 33 sq cm
23. 23.If 7 October is a Thursday, what day of the week is 18 October? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
24. 24.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 54 sq cm (c) 42 sq cm (d) 72 sq cm
25. 25.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
26. 26.What is 5% of 700? (a) 665 (b) 350 (c) 70 (d) 35
27. 27.What is the simple interest on ₹10000 at 7% per year for 5 years? (a) ₹13500 (b) ₹4200 (c) ₹700 (d) ₹3500
28. 28.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 6 : ? (a) 138 (b) 6 (c) 216 (d) 217
29. 29.What is the value of the digit 3 in 23.941? (a) 3 (b) 0.03 (c) 30 (d) 0.3
30. 30.A bag marked ₹1100 is sold at a 10% discount. What is its selling price? (a) ₹1090 (b) ₹110 (c) ₹990 (d) ₹1210
31. 31.Today is Saturday. What day of the week will it be after 84 days? (a) Monday (b) Friday (c) Saturday (d) Sunday
32. 32.What is the remainder when 435 is divided by 11? (a) 6 (b) 7 (c) 8 (d) 5
33. 33.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 45% (b) 20% (c) 15% (d) 10%
34. 34.If 7 July is a Wednesday, what day of the week is 23 July? (a) Friday (b) Sunday (c) Saturday (d) Thursday
35. 35.What is the value of the digit 1 in 42.175? (a) 0.1 (b) 1 (c) 0.01 (d) 0.001
36. 36.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 126 min (c) 42 min (d) 27 min
37. 37.What is the remainder when 148 is divided by 3? (a) 0 (b) 1 (c) 2
38. 38.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 153 sq cm (d) 136 sq cm
39. 39.If 6 October is a Friday, what day of the week is 14 October? (a) Sunday (b) Saturday (c) Monday (d) Friday
40. 40.3.92 + 1.8 = ? (a) 5.72 (b) 5.62 (c) 5.82 (d) 4.1

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