Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 89 · 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 12 May is a Saturday, what day of the week is 24 May? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
2. 2.If 8x + 10 = 122, what is x? (a) 14 (b) 15 (c) 112 (d) 13
3. 3.A bag marked ₹1740 is sold at a 15% discount. What is its selling price? (a) ₹261 (b) ₹2001 (c) ₹1725 (d) ₹1479
4. 4.Which of these numbers is divisible by 9? (a) 1994 (b) 2002 (c) 1986 (d) 1989
5. 5.If x/5 + 15 = 23, what is x? (a) 100 (b) 190 (c) 8 (d) 40
6. 6.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 13 (b) 10 (c) 12 (d) 24
7. 7.Which is the smallest: 0.362, 0.44, 0.086, 0.4? (a) 0.362 (b) 0.44 (c) 0.086 (d) 0.4
8. 8.Two ribbons are 6 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 6 cm (c) 8 cm (d) 1 cm
9. 9.In how many years will ₹4000 earn ₹960 simple interest at 12% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
10. 10.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 15 cm
11. 11.Every pair follows the same rule: 6 : 41, 8 : 69, 9 : 86. What is 3 : ? (a) 14 (b) 13 (c) 15 (d) 38
12. 12.What is the simple interest on ₹2500 at 6% per year for 2 years? (a) ₹450 (b) ₹2800 (c) ₹150 (d) ₹300
13. 13.Which is the greatest: 0.679, 0.77, 0.014, 0.7? (a) 0.679 (b) 0.77 (c) 0.014 (d) 0.7
14. 14.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 36 (b) 210 (c) 315 (d) 105
15. 15.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 30 sq cm (c) 26 sq cm (d) 15 sq cm
16. 16.7.21 + 8.4 = ? (a) 8.05 (b) 15.71 (c) 15.51 (d) 15.61
17. 17.Every pair follows the same rule: 4 : 24, 5 : 29, 6 : 34. What is 9 : ? (a) 49 (b) 29 (c) 50 (d) 54
18. 18.Today is Saturday. What day of the week will it be after 26 days? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
19. 19.What is the simple interest on ₹8000 at 2% per year for 2 years? (a) ₹320 (b) ₹8320 (c) ₹160 (d) ₹480
20. 20.Which is the greatest: 0.087, 0.389, 0.49, 0.4? (a) 0.087 (b) 0.389 (c) 0.49 (d) 0.4
21. 21.If 2 kites cost ₹42, how much do 8 kites cost? (a) ₹189 (b) ₹336 (c) ₹168 (d) ₹48
22. 22.What is the simple interest on ₹6000 at 12% per year for 5 years? (a) ₹4320 (b) ₹720 (c) ₹3600 (d) ₹9600
23. 23.If 13 April is a Sunday, what day of the week is 10 May? (a) Saturday (b) Friday (c) Monday (d) Sunday
24. 24.Every pair follows the same rule: 4 : 16, 5 : 20, 8 : 32. What is 2 : ? (a) 8 (b) 7 (c) 9 (d) 14
25. 25.2/4 + 1/8 = ? (a) 1/4 (b) 3/4 (c) 5/8 (d) 1/2
26. 26.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 30 sq cm (d) 22 sq cm
27. 27.Which fraction is greater: 2/3 or 3/5? (a) 3/5 (b) 2/3 (c) They are equal
28. 28.1/2 + 5/6 = ? (a) 7/6 (b) 3/4 (c) 4/3 (d) 3/2
29. 29.What is the units digit of 3^48? (a) 3 (b) 9 (c) 7 (d) 1
30. 30.5.21 + 6.1 = ? (a) 11.41 (b) 11.21 (c) 11.31 (d) 5.82
31. 31.Which fraction is greater: 1/8 or 1/6? (a) They are equal (b) 1/8 (c) 1/6
32. 32.Which of these numbers is divisible by 9? (a) 675 (b) 670 (c) 685 (d) 682
33. 33.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 42 (c) 46 (d) 93
34. 34.What is the remainder when 236 is divided by 3? (a) 1 (b) 0 (c) 2
35. 35.What is the average of 34, 36, 27, 32 and 31? (a) 31 (b) 40 (c) 33 (d) 32
36. 36.A teacher has 33 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 44 (b) 1 (c) 11 (d) 33
37. 37.If 6 January is a Tuesday, what day of the week is 15 January? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
38. 38.What is the remainder when 53 is divided by 4? (a) 0 (b) 1 (c) 3 (d) 2
39. 39.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm
40. 40.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 39 (b) 252 (c) 126 (d) 378

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