Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 702 · 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.Two ribbons are 44 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 33 cm (b) 44 cm (c) 11 cm (d) 1 cm
2. 2.If 2x − 7 = 7, what is x? (a) 8 (b) 14 (c) 7 (d) 6
3. 3.Every pair follows the same rule: 3 : 9, 5 : 19, 8 : 34. What is 4 : ? (a) 10 (b) 12 (c) 14 (d) 15
4. 4.If x/4 + 9 = 11, what is x? (a) 35 (b) 8 (c) 2 (d) 80
5. 5.₹429 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹165 (b) ₹297 (c) ₹264 (d) ₹33
6. 6.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 37 (b) 38 (c) 100 (d) 49
7. 7.What is 6/7 of 70? (a) 70 (b) 61 (c) 60 (d) 10
8. 8.If 2 mangoes cost ₹22, how much do 4 mangoes cost? (a) ₹55 (b) ₹88 (c) ₹24 (d) ₹44
9. 9.In how many years will ₹5500 earn ₹2475 simple interest at 9% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
10. 10.9.18 + 2.8 = ? (a) 9.46 (b) 12.08 (c) 11.98 (d) 11.88
11. 11.If 4x + 27 = 67, what is x? (a) 11 (b) 9 (c) 10 (d) 40
12. 12.7.02 + 7.7 = ? (a) 7.79 (b) 14.62 (c) 14.72 (d) 14.82
13. 13.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 117 cm (c) 10 cm (d) 20 cm
14. 14.Which is the smallest: 0.46, 0.392, 0.4, 0.086? (a) 0.46 (b) 0.392 (c) 0.4 (d) 0.086
15. 15.A shopkeeper buys a toy for ₹260 and sells it for ₹338. What is his profit percent? (a) 78% (b) 30% (c) 25% (d) 35%
16. 16.If x/3 + 9 = 19, what is x? (a) 30 (b) 84 (c) 10 (d) 48
17. 17.The simple interest on ₹1000 for 3 years is ₹270. What is the rate per year? (a) 27% (b) 8% (c) 9% (d) 10%
18. 18.What is the units digit of 3^40? (a) 3 (b) 7 (c) 1 (d) 9
19. 19.₹3000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹3360 (b) ₹720 (c) ₹3720 (d) ₹4080
20. 20.What is the value of the digit 8 in 64.283? (a) 0.008 (b) 0.08 (c) 0.8 (d) 8
21. 21.Two ribbons are 27 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 27 cm (b) 3 cm (c) 9 cm (d) 18 cm
22. 22.If 10 May is a Tuesday, what day of the week is 8 June? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
23. 23.Every pair follows the same rule: 2 : 4, 3 : 9, 9 : 81. What is 5 : ? (a) 25 (b) 10 (c) 33 (d) 7
24. 24.The simple interest on ₹8000 for 2 years is ₹1120. What is the rate per year? (a) 14% (b) 7% (c) 8% (d) 6%
25. 25.If 3x − 9 = 27, what is x? (a) 36 (b) 12 (c) 6 (d) 13
26. 26.What is the smallest number you must add to 189 to make it divisible by 4? (a) 1 (b) 3 (c) 2
27. 27.₹2000 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹2480 (b) ₹2160 (c) ₹480 (d) ₹2640
28. 28.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 112 cm (c) 46 cm (d) 23 cm
29. 29.If 6x + 2 = 92, what is x? (a) 90 (b) 16 (c) 15 (d) 14
30. 30.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 8 cm (c) 33 cm (d) 5 cm
31. 31.Which is the greatest: 0.6, 0.65, 0.592, 0.064? (a) 0.6 (b) 0.65 (c) 0.592 (d) 0.064
32. 32.What is the smallest number you must add to 621 to make it divisible by 11? (a) 5 (b) 6 (c) 7 (d) 8
33. 33.If 6 July is a Sunday, what day of the week is 22 July? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
34. 34.₹322 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹161 (b) ₹276 (c) ₹322 (d) ₹46
35. 35.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 5 : ? (a) 153 (b) 126 (c) 5 (d) 125
36. 36.What is 30% of 480? (a) 288 (b) 336 (c) 1440 (d) 144
37. 37.What is the value of the digit 6 in 78.649? (a) 6 (b) 0.6 (c) 0.06 (d) 0.006
38. 38.Which fraction is greater: 9/10 or 1/11? (a) 9/10 (b) 1/11 (c) They are equal
39. 39.In how many years will ₹2000 earn ₹480 simple interest at 12% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
40. 40.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm

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