Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 885 · 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 30% of 440? (a) 308 (b) 264 (c) 1320 (d) 132
2. 2.If 4 July is a Saturday, what day of the week is 12 July? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
3. 3.A teacher has 72 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 6 (c) 72 (d) 504
4. 4.If 3 August is a Sunday, what day of the week is 17 August? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
5. 5.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹1715 (b) ₹1305 (c) ₹2175 (d) ₹435
6. 6.Every pair follows the same rule: 3 : 7, 5 : 23, 9 : 79. What is 6 : ? (a) 37 (b) 35 (c) 10 (d) 34
7. 7.If x/3 + 1 = 9, what is x? (a) 26 (b) 30 (c) 24 (d) 8
8. 8.If 4x + 29 = 49, what is x? (a) 6 (b) 4 (c) 20 (d) 5
9. 9.What is the value of the digit 4 in 59.824? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
10. 10.If 6x + 14 = 5x + 26, what is x? (a) 12 (b) 13 (c) 40 (d) 14
11. 11.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 102 cm (c) 8 cm (d) 14 cm
12. 12.What is 2/5 of 15? (a) 9 (b) 3 (c) 7 (d) 6
13. 13.If 5 December is a Wednesday, what day of the week is 13 December? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
14. 14.Two ribbons are 36 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 12 cm (c) 24 cm (d) 6 cm
15. 15.A shopkeeper buys a toy for ₹500 and sells it for ₹300. What is his loss percent? (a) 41% (b) 45% (c) 35% (d) 40%
16. 16.In how many years will ₹4000 earn ₹320 simple interest at 2% per year? (a) 3 years (b) 5 years (c) 4 years (d) 8 years
17. 17.A teacher has 16 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 40 (c) 8 (d) 4
18. 18.₹272 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹136 (b) ₹238 (c) ₹34 (d) ₹272
19. 19.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 42 sq cm (d) 21 sq cm
20. 20.If 10 August is a Friday, what day of the week is 21 August? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
21. 21.If 14 August is a Tuesday, what day of the week is 1 September? (a) Saturday (b) Friday (c) Sunday (d) Monday
22. 22.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 20 (c) 52 (d) 40
23. 23.6 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 1 day (d) 16 days
24. 24.If 2 kites cost ₹40, how much do 9 kites cost? (a) ₹180 (b) ₹360 (c) ₹200 (d) ₹47
25. 25.Which is the greatest: 0.141, 0.25, 0.089, 0.2? (a) 0.141 (b) 0.25 (c) 0.089 (d) 0.2
26. 26.₹222 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹222 (b) ₹37 (c) ₹111 (d) ₹185
27. 27.₹616 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹44 (b) ₹308 (c) ₹396 (d) ₹220
28. 28.What is 50% of 940? (a) 471 (b) 940 (c) 4700 (d) 470
29. 29.If 19 June is a Saturday, what day of the week is 11 July? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
30. 30.If 7x − 17 = 18, what is x? (a) 5 (b) 6 (c) 4 (d) 35
31. 31.If 6 August is a Monday, what day of the week is 21 August? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
32. 32.₹175 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹140 (b) ₹70 (c) ₹35 (d) ₹105
33. 33.Every pair follows the same rule: 4 : 5, 5 : 7, 7 : 11. What is 8 : ? (a) 13 (b) 12 (c) 14 (d) 9
34. 34.If 9 notebooks cost ₹216, how much do 3 notebooks cost? (a) ₹96 (b) ₹210 (c) ₹72 (d) ₹648
35. 35.If 7x − 14 = 35, what is x? (a) 49 (b) 7 (c) 3 (d) 8
36. 36.A shopkeeper buys a toy for ₹580 and sells it for ₹348. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%
37. 37.Two ribbons are 72 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 12 cm (c) 72 cm (d) 504 cm
38. 38.Which fraction is greater: 5/9 or 3/10? (a) 5/9 (b) They are equal (c) 3/10
39. 39.If 13 October is a Thursday, what day of the week is 26 October? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
40. 40.Which is the smallest: 0.41, 0.374, 0.4, 0.054? (a) 0.41 (b) 0.374 (c) 0.4 (d) 0.054

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