Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 138 · 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.In how many years will ₹1500 earn ₹480 simple interest at 8% per year? (a) 4 years (b) 5 years (c) 3 years (d) 8 years
2. 2.What is 3/5 of 40? (a) 8 (b) 32 (c) 16 (d) 24
3. 3.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 2 cm (b) 4 cm (c) 14 cm (d) 3 cm
4. 4.What is the simple interest on ₹6500 at 7% per year for 5 years? (a) ₹455 (b) ₹8775 (c) ₹2730 (d) ₹2275
5. 5.What is 10% of 160? (a) 32 (b) 160 (c) 144 (d) 16
6. 6.If 30 April is a Friday, what day of the week is 12 May? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
7. 7.In how many years will ₹2500 earn ₹500 simple interest at 5% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
8. 8.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 35 (c) 51 (d) 81
9. 9.If 7 notebooks cost ₹112, how much do 10 notebooks cost? (a) ₹115 (b) ₹160 (c) ₹176 (d) ₹1120
10. 10.Two ribbons are 35 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 35 cm (c) 1 cm (d) 280 cm
11. 11.Which fraction is greater: 2/11 or 5/9? (a) 5/9 (b) 2/11 (c) They are equal
12. 12.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 17 days (b) 9 days (c) 26 days (d) 27 days
13. 13.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 63 (b) 27 (c) 28 (d) 31
14. 14.₹66 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹55 (b) ₹66 (c) ₹33 (d) ₹11
15. 15.₹252 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹162 (b) ₹90 (c) ₹126 (d) ₹18
16. 16.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 270 (b) 33 (c) 180 (d) 90
17. 17.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 4 : ? (a) 10 (b) 90 (c) 64 (d) 16
18. 18.Which is the greatest: 0.343, 0.012, 0.42, 0.4? (a) 0.343 (b) 0.012 (c) 0.42 (d) 0.4
19. 19.₹3000 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹3840 (b) ₹840 (c) ₹4050 (d) ₹3210
20. 20.3/6 + 1/2 = ? (a) 1 (b) 7/6 (c) 1/2 (d) 5/6
21. 21.If 3x − 4 = 5, what is x? (a) 4 (b) 3 (c) 2 (d) 9
22. 22.Today is Saturday. What day of the week will it be after 81 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
23. 23.4.66 + 4.3 = ? (a) 9.06 (b) 5.09 (c) 8.96 (d) 8.86
24. 24.A shopkeeper buys a toy for ₹640 and sells it for ₹896. What is his profit percent? (a) 35% (b) 41% (c) 45% (d) 40%
25. 25.₹77 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹14 (b) ₹7 (c) ₹70 (d) ₹63
26. 26.₹3000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹3330 (b) ₹990 (c) ₹4320 (d) ₹3990
27. 27.1.58 + 4.2 = ? (a) 5.88 (b) 5.78 (c) 5.68 (d) 2
28. 28.Which of these numbers is divisible by 4? (a) 2028 (b) 2029 (c) 2027 (d) 2034
29. 29.A teacher has 24 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 72 (c) 24 (d) 12
30. 30.What is the units digit of 8^38? (a) 2 (b) 8 (c) 4 (d) 6
31. 31.Which fraction is greater: 2/7 or 3/4? (a) 2/7 (b) They are equal (c) 3/4
32. 32.If 8 pens cost ₹128, how much do 5 pens cost? (a) ₹640 (b) ₹125 (c) ₹96 (d) ₹80
33. 33.The simple interest on ₹7500 for 3 years is ₹2475. What is the rate per year? (a) 12% (b) 10% (c) 33% (d) 11%
34. 34.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 133 sq cm (c) 26 sq cm (d) 52 sq cm
35. 35.What is 5/8 of 72? (a) 9 (b) 54 (c) 45 (d) 27
36. 36.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 50 cm (c) 25 cm (d) 30 cm
37. 37.Today is Wednesday. What day of the week will it be after 27 days? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
38. 38.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 270 min (b) 3 min (c) 33 min (d) 90 min
39. 39.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 56 sq cm (d) 171 sq cm
40. 40.What is the value of the digit 6 in 71.625? (a) 6 (b) 0.6 (c) 0.06 (d) 0.006

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