Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 287 · 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.₹8000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹9440 (b) ₹10160 (c) ₹8720 (d) ₹1440
2. 2.What is 1/4 of 48? (a) 36 (b) 12 (c) 13 (d) 24
3. 3.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 36 (b) 21 (c) 108 (d) 72
4. 4.If 6x + 29 = 41, what is x? (a) 12 (b) 3 (c) 2 (d) 1
5. 5.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
6. 6.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 121 sq cm (c) 110 sq cm (d) 42 sq cm
7. 7.8 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 25 days (c) 24 days (d) 14 days
8. 8.Every pair follows the same rule: 2 : 6, 4 : 18, 9 : 83. What is 3 : ? (a) 5 (b) 11 (c) 9 (d) 7
9. 9.If 13 March is a Thursday, what day of the week is 21 March? (a) Sunday (b) Friday (c) Thursday (d) Saturday
10. 10.2.32 + 1.8 = ? (a) 2.5 (b) 4.22 (c) 4.12 (d) 4.02
11. 11.If x/4 + 4 = 9, what is x? (a) 20 (b) 52 (c) 5 (d) 32
12. 12.What is 25% of 900? (a) 450 (b) 675 (c) 2250 (d) 225
13. 13.Two ribbons are 8 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) 4 cm (b) 2 cm (c) 24 cm (d) 8 cm
14. 14.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 84 min (c) 3 min (d) 252 min
15. 15.Every pair follows the same rule: 2 : 10, 5 : 13, 9 : 17. What is 8 : ? (a) 40 (b) 17 (c) 15 (d) 16
16. 16.A shopkeeper buys a toy for ₹900 and sells it for ₹945. What is his profit percent? (a) 6% (b) 10% (c) 45% (d) 5%
17. 17.A bag marked ₹1060 is sold at a 30% discount. What is its selling price? (a) ₹318 (b) ₹1030 (c) ₹742 (d) ₹1378
18. 18.Two ribbons are 14 cm and 63 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) 49 cm (d) 1 cm
19. 19.Every pair follows the same rule: 2 : 4, 4 : 16, 9 : 81. What is 7 : ? (a) 14 (b) 9 (c) 55 (d) 49
20. 20.If 15 August is a Sunday, what day of the week is 17 September? (a) Friday (b) Thursday (c) Saturday (d) Sunday
21. 21.If 3x − 10 = 2, what is x? (a) 3 (b) 12 (c) 5 (d) 4
22. 22.What is the value of the digit 6 in 25.136? (a) 0.06 (b) 6 (c) 0.6 (d) 0.006
23. 23.A shopkeeper buys a toy for ₹360 and sells it for ₹306. What is his loss percent? (a) 15% (b) 54% (c) 20% (d) 10%
24. 24.What is the remainder when 326 is divided by 5? (a) 0 (b) 2 (c) 1 (d) 4
25. 25.Which fraction is greater: 7/11 or 5/8? (a) 7/11 (b) 5/8 (c) They are equal
26. 26.What is the average of 74, 91, 74, 71, 85 and 67? (a) 77 (b) 78 (c) 76 (d) 79
27. 27.What is the units digit of 3^51? (a) 3 (b) 1 (c) 7 (d) 9
28. 28.1/2 + 1/3 = ? (a) 2/3 (b) 2/5 (c) 1 (d) 5/6
29. 29.Which is the smallest: 0.4, 0.316, 0.44, 0.053? (a) 0.4 (b) 0.316 (c) 0.44 (d) 0.053
30. 30.Every pair follows the same rule: 2 : 7, 4 : 19, 8 : 67. What is 9 : ? (a) 79 (b) 84 (c) 14 (d) 85
31. 31.What is the simple interest on ₹7500 at 2% per year for 3 years? (a) ₹150 (b) ₹600 (c) ₹450 (d) ₹7950
32. 32.Every pair follows the same rule: 2 : 5, 5 : 17, 9 : 33. What is 8 : ? (a) 28 (b) 11 (c) 30 (d) 29
33. 33.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 38 (b) 24 (c) 17 (d) 31
34. 34.What is the units digit of 8^33? (a) 8 (b) 6 (c) 2 (d) 4
35. 35.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 5 (c) 10 (d) 30
36. 36.Which fraction is greater: 1/4 or 7/8? (a) They are equal (b) 1/4 (c) 7/8
37. 37.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 11 (b) 17 (c) 21 (d) 7
38. 38.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 7 cm (d) 6 cm
39. 39.Two ribbons are 20 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 2 cm (c) 8 cm (d) 20 cm
40. 40.If 11 August is a Thursday, what day of the week is 22 August? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday

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