Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 808 · 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.Every pair follows the same rule: 2 : 18, 3 : 19, 9 : 25. What is 7 : ? (a) 24 (b) 23 (c) 22 (d) 63
2. 2.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 6 : ? (a) 138 (b) 217 (c) 216 (d) 6
3. 3.What is the simple interest on ₹7000 at 3% per year for 5 years? (a) ₹210 (b) ₹8050 (c) ₹1260 (d) ₹1050
4. 4.₹2000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹2280 (b) ₹2140 (c) ₹2420 (d) ₹280
5. 5.What is the remainder when 395 is divided by 12? (a) 1 (b) 10 (c) 9 (d) 11
6. 6.A shopkeeper buys a toy for ₹200 and sells it for ₹260. What is his profit percent? (a) 60% (b) 30% (c) 35% (d) 25%
7. 7.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 51 (b) 46 (c) 71 (d) 30
8. 8.Every pair follows the same rule: 2 : 11, 7 : 56, 9 : 88. What is 6 : ? (a) 15 (b) 44 (c) 43 (d) 40
9. 9.If 8x + 8 = 32, what is x? (a) 4 (b) 24 (c) 3 (d) 5
10. 10.In how many years will ₹9000 earn ₹720 simple interest at 2% per year? (a) 8 years (b) 3 years (c) 4 years (d) 5 years
11. 11.In how many years will ₹6000 earn ₹2400 simple interest at 10% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
12. 12.₹238 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹119 (b) ₹153 (c) ₹17 (d) ₹85
13. 13.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 18 cm (d) 11 cm
14. 14.₹5000 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹7750 (b) ₹5550 (c) ₹2750 (d) ₹8300
15. 15.What is 5% of 680? (a) 34 (b) 68 (c) 646 (d) 340
16. 16.₹48 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹36 (b) ₹12 (c) ₹48 (d) ₹24
17. 17.Which fraction is greater: 4/11 or 2/3? (a) 4/11 (b) They are equal (c) 2/3
18. 18.The simple interest on ₹8000 for 5 years is ₹4000. What is the rate per year? (a) 10% (b) 11% (c) 50% (d) 9%
19. 19.What is 5% of 260? (a) 247 (b) 130 (c) 13 (d) 26
20. 20.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 61 (b) 25 (c) 41 (d) 46
21. 21.₹1000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹300 (b) ₹1400 (c) ₹1300 (d) ₹1100
22. 22.What is the smallest number you must add to 543 to make it divisible by 11? (a) 8 (b) 6 (c) 4 (d) 7
23. 23.Which fraction is greater: 1/6 or 2/5? (a) 2/5 (b) They are equal (c) 1/6
24. 24.5.63 + 2.2 = ? (a) 7.83 (b) 7.93 (c) 7.73 (d) 5.85
25. 25.If 6x + 7 = 2x + 19, what is x? (a) 2 (b) 3 (c) 4 (d) 5
26. 26.Which is the smallest: 0.33, 0.268, 0.3, 0.081? (a) 0.33 (b) 0.268 (c) 0.3 (d) 0.081
27. 27.What is the units digit of 7^42? (a) 1 (b) 7 (c) 9 (d) 3
28. 28.If 4 January is a Thursday, what day of the week is 14 January? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
29. 29.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 60 (b) 27 (c) 120 (d) 180
30. 30.₹344 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹344 (b) ₹43 (c) ₹301 (d) ₹172
31. 31.Today is Monday. What day of the week will it be after 53 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
32. 32.Today is Monday. What day of the week will it be after 80 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
33. 33.Every pair follows the same rule: 2 : 2, 4 : 8, 5 : 11. What is 6 : ? (a) 13 (b) 14 (c) 6 (d) 15
34. 34.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 30 sq cm (c) 45 sq cm (d) 34 sq cm
35. 35.Two ribbons are 15 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) 10 cm (b) 15 cm (c) 1 cm (d) 5 cm
36. 36.What is the units digit of 8^52? (a) 8 (b) 6 (c) 2 (d) 4
37. 37.3.18 + 2.2 = ? (a) 5.28 (b) 5.48 (c) 5.38 (d) 3.4
38. 38.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 60 min (c) 5 min (d) 300 min
39. 39.1.11 + 9.4 = ? (a) 2.05 (b) 10.61 (c) 10.51 (d) 10.41
40. 40.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm

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