Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 952 · 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.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
2. 2.₹5000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹5250 (b) ₹5500 (c) ₹500 (d) ₹5750
3. 3.In how many years will ₹4500 earn ₹945 simple interest at 7% per year? (a) 4 years (b) 6 years (c) 2 years (d) 3 years
4. 4.₹187 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹102 (b) ₹85 (c) ₹17 (d) ₹119
5. 5.What is the average of 59, 44, 51, 48, 49 and 91? (a) 58 (b) 57 (c) 59 (d) 56
6. 6.What is 15% of 280? (a) 42 (b) 84 (c) 238 (d) 420
7. 7.What is the units digit of 2^51? (a) 4 (b) 2 (c) 8 (d) 6
8. 8.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 70 (b) 34 (c) 42 (d) 40
9. 9.What is the average of 64, 38, 62 and 44? (a) 53 (b) 52 (c) 54 (d) 51
10. 10.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
11. 11.Every pair follows the same rule: 5 : 25, 6 : 36, 8 : 64. What is 4 : ? (a) 20 (b) 16 (c) 24 (d) 8
12. 12.What is the average of 53, 33, 53, 40 and 31? (a) 41 (b) 44 (c) 42 (d) 43
13. 13.If 4 January is a Friday, what day of the week is 12 January? (a) Sunday (b) Friday (c) Saturday (d) Monday
14. 14.What is the smallest number you must add to 552 to make it divisible by 9? (a) 5 (b) 7 (c) 3 (d) 6
15. 15.What is the smallest number you must add to 476 to make it divisible by 8? (a) 5 (b) 3 (c) 4 (d) 6
16. 16.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 28%
17. 17.Today is Sunday. What day of the week will it be after 69 days? (a) Saturday (b) Sunday (c) Monday (d) Friday
18. 18.Two ribbons are 55 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 55 cm (c) 1 cm (d) 44 cm
19. 19.Two ribbons are 10 cm and 12 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) 10 cm (c) 60 cm (d) 1 cm
20. 20.3 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 24 days (b) 9 days (c) 6 days (d) 15 days
21. 21.Every pair follows the same rule: 3 : 12, 4 : 16, 8 : 32. What is 6 : ? (a) 25 (b) 24 (c) 23 (d) 15
22. 22.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 50 min (c) 35 min (d) 250 min
23. 23.If 5x − 4 = 46, what is x? (a) 50 (b) 11 (c) 9 (d) 10
24. 24.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 32 min (b) 60 min (c) 240 min (d) 4 min
25. 25.Which fraction is greater: 7/8 or 2/3? (a) 2/3 (b) They are equal (c) 7/8
26. 26.What is the units digit of 8^10? (a) 8 (b) 2 (c) 4 (d) 6
27. 27.2/6 + 1/3 = ? (a) 5/6 (b) 1/2 (c) 1/3 (d) 2/3
28. 28.3/4 + 5/6 = ? (a) 19/12 (b) 5/3 (c) 4/5 (d) 3/2
29. 29.If 10 January is a Friday, what day of the week is 1 February? (a) Friday (b) Sunday (c) Monday (d) Saturday
30. 30.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 56 (b) 36 (c) 112 (d) 224
31. 31.Two ribbons are 4 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) 2 cm (b) 4 cm (c) 6 cm (d) 1 cm
32. 32.What is the units digit of 7^16? (a) 1 (b) 9 (c) 7 (d) 3
33. 33.Every pair follows the same rule: 2 : 18, 6 : 54, 9 : 81. What is 5 : ? (a) 44 (b) 21 (c) 46 (d) 45
34. 34.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 14 cm (c) 78 cm (d) 8 cm
35. 35.If 29 April is a Saturday, what day of the week is 14 May? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
36. 36.8.08 + 7.6 = ? (a) 8.84 (b) 15.58 (c) 15.68 (d) 15.78
37. 37.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 70 min (c) 2 min (d) 140 min
38. 38.If x/4 + 10 = 19, what is x? (a) 66 (b) 9 (c) 36 (d) 116
39. 39.8.36 + 2.4 = ? (a) 8.6 (b) 10.66 (c) 10.76 (d) 10.86
40. 40.₹150 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹75 (b) ₹50 (c) ₹150 (d) ₹100

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