Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 379 · 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 value of the digit 3 in 93.854? (a) 30 (b) 0.3 (c) 3 (d) 0.03
2. 2.If 15 March is a Sunday, what day of the week is 23 March? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
3. 3.If x/2 + 1 = 12, what is x? (a) 23 (b) 26 (c) 22 (d) 11
4. 4.Which is the smallest: 0.487, 0.067, 0.51, 0.5? (a) 0.487 (b) 0.067 (c) 0.51 (d) 0.5
5. 5.Every pair follows the same rule: 4 : 15, 5 : 24, 6 : 35. What is 7 : ? (a) 49 (b) 48 (c) 18 (d) 46
6. 6.A shopkeeper buys a toy for ₹460 and sells it for ₹552. What is his profit percent? (a) 15% (b) 20% (c) 92% (d) 25%
7. 7.The simple interest on ₹10000 for 2 years is ₹2200. What is the rate per year? (a) 11% (b) 22% (c) 12% (d) 10%
8. 8.What is the units digit of 4^52? (a) 5 (b) 4 (c) 6 (d) 7
9. 9.₹396 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹44 (b) ₹308 (c) ₹198 (d) ₹88
10. 10.If 1 January is a Tuesday, what day of the week is 13 January? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
11. 11.₹310 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹155 (b) ₹93 (c) ₹31 (d) ₹217
12. 12.Which is the greatest: 0.5, 0.55, 0.428, 0.022? (a) 0.5 (b) 0.55 (c) 0.428 (d) 0.022
13. 13.Every pair follows the same rule: 4 : 15, 8 : 63, 9 : 80. What is 3 : ? (a) 9 (b) 14 (c) 8 (d) 7
14. 14.Which is the smallest: 0.32, 0.057, 0.229, 0.3? (a) 0.32 (b) 0.057 (c) 0.229 (d) 0.3
15. 15.If 9 kites cost ₹108, how much do 5 kites cost? (a) ₹104 (b) ₹72 (c) ₹540 (d) ₹60
16. 16.If 27 August is a Wednesday, what day of the week is 9 September? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
17. 17.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 27 cm (c) 45 cm (d) 54 cm
18. 18.A bag marked ₹260 is sold at a 40% discount. What is its selling price? (a) ₹364 (b) ₹220 (c) ₹104 (d) ₹156
19. 19.Two ribbons are 35 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 14 cm (c) 35 cm (d) 1 cm
20. 20.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 3 (b) 28 (c) 36 (d) 27
21. 21.If 6x + 14 = 4x + 16, what is x? (a) 3 (b) 2 (c) 1 (d) 15
22. 22.Which is the greatest: 0.268, 0.3, 0.043, 0.34? (a) 0.268 (b) 0.3 (c) 0.043 (d) 0.34
23. 23.What is the value of the digit 9 in 21.379? (a) 9 (b) 0.009 (c) 0.9 (d) 0.09
24. 24.Every pair follows the same rule: 3 : 8, 4 : 10, 6 : 14. What is 8 : ? (a) 17 (b) 18 (c) 19 (d) 13
25. 25.Today is Thursday. What day of the week will it be after 28 days? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
26. 26.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
27. 27.Every pair follows the same rule: 2 : 14, 3 : 21, 8 : 56. What is 5 : ? (a) 35 (b) 34 (c) 36 (d) 17
28. 28.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
29. 29.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 4 days (c) 15 days (d) 14 days
30. 30.Two ribbons are 20 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 5 cm (c) 100 cm (d) 20 cm
31. 31.A teacher has 32 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 160 (b) 8 (c) 32 (d) 4
32. 32.If 2x + 7 = 25, what is x? (a) 18 (b) 16 (c) 9 (d) 10
33. 33.What is the value of the digit 4 in 16.349? (a) 0.04 (b) 0.4 (c) 0.004 (d) 4
34. 34.Two ribbons are 8 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 8 cm (c) 2 cm (d) 40 cm
35. 35.If 6x + 1 = 2x + 9, what is x? (a) 3 (b) 4 (c) 1 (d) 2
36. 36.What is 30% of 220? (a) 132 (b) 154 (c) 660 (d) 66
37. 37.Two ribbons are 24 cm and 42 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) 24 cm (c) 3 cm (d) 18 cm
38. 38.A teacher has 50 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 50 (c) 30 (d) 10
39. 39.What is the smallest number you must add to 411 to make it divisible by 8? (a) 6 (b) 5 (c) 3 (d) 4
40. 40.What is the average of all the whole numbers from 54 to 84? (a) 70 (b) 15 (c) 69 (d) 30

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