Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 293 · 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.If 2 pens cost ₹10, how much do 4 pens cost? (a) ₹40 (b) ₹25 (c) ₹20 (d) ₹12
2. 2.Which of these numbers is divisible by 6? (a) 364 (b) 355 (c) 368 (d) 360
3. 3.What is the simple interest on ₹8500 at 10% per year for 4 years? (a) ₹850 (b) ₹4250 (c) ₹3400 (d) ₹11900
4. 4.What is 50% of 380? (a) 190 (b) 1900 (c) 191 (d) 380
5. 5.5/6 + 3/4 = ? (a) 5/3 (b) 19/12 (c) 3/2 (d) 4/5
6. 6.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 42 (b) 56 (c) 49 (d) 84
7. 7.If 6x − 42 = 36, what is x? (a) 12 (b) 14 (c) 78 (d) 13
8. 8.Which is the greatest: 0.651, 0.094, 0.7, 0.73? (a) 0.651 (b) 0.094 (c) 0.7 (d) 0.73
9. 9.If 1 August is a Monday, what day of the week is 13 August? (a) Monday (b) Sunday (c) Friday (d) Saturday
10. 10.5 workers can build a wall in 12 days. How many days will 10 workers take, working at the same speed? (a) 24 days (b) 7 days (c) 17 days (d) 6 days
11. 11.What is 15% of 320? (a) 48 (b) 96 (c) 272 (d) 480
12. 12.Which fraction is greater: 3/4 or 7/9? (a) 7/9 (b) 3/4 (c) They are equal
13. 13.If x/5 + 12 = 23, what is x? (a) 103 (b) 55 (c) 175 (d) 11
14. 14.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 26 (b) 5 (c) 22 (d) 43
15. 15.If 7x + 8 = 43, what is x? (a) 5 (b) 35 (c) 6 (d) 4
16. 16.What is the simple interest on ₹2500 at 3% per year for 4 years? (a) ₹2800 (b) ₹375 (c) ₹75 (d) ₹300
17. 17.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 500 min (b) 5 min (c) 100 min (d) 45 min
18. 18.In how many years will ₹10000 earn ₹600 simple interest at 3% per year? (a) 4 years (b) 1 year (c) 3 years (d) 2 years
19. 19.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 5% (b) 24% (c) 15% (d) 10%
20. 20.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 35% (b) 30% (c) 84% (d) 25%
21. 21.What is 2/3 of 21? (a) 21 (b) 15 (c) 7 (d) 14
22. 22.What is the value of the digit 3 in 34.915? (a) 30 (b) 0.03 (c) 0.3 (d) 3
23. 23.₹1000 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹1240 (b) ₹240 (c) ₹1080 (d) ₹1320
24. 24.1/3 + 2/5 = ? (a) 11/15 (b) 3/8 (c) 4/5 (d) 2/3
25. 25.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 20 cm (d) 11 cm
26. 26.What is the average of all the whole numbers from 48 to 82? (a) 66 (b) 34 (c) 65 (d) 17
27. 27.If 3x + 27 = 36, what is x? (a) 9 (b) 21 (c) 4 (d) 3
28. 28.If 7 pens cost ₹98, how much do 2 pens cost? (a) ₹196 (b) ₹93 (c) ₹42 (d) ₹28
29. 29.9.71 + 2.1 = ? (a) 9.92 (b) 11.91 (c) 11.81 (d) 11.71
30. 30.1/8 + 3/6 = ? (a) 2/7 (b) 7/12 (c) 5/8 (d) 2/3
31. 31.Every pair follows the same rule: 2 : 3, 7 : 48, 9 : 80. What is 8 : ? (a) 62 (b) 63 (c) 64 (d) 9
32. 32.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
33. 33.What is 1/3 of 15? (a) 4 (b) 6 (c) 10 (d) 5
34. 34.Two ribbons are 72 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 504 cm (b) 6 cm (c) 72 cm (d) 12 cm
35. 35.If 1 October is a Saturday, what day of the week is 12 October? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
36. 36.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 71 (b) 55 (c) 51 (d) 24
37. 37.If 9 March is a Saturday, what day of the week is 17 March? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
38. 38.What is the average of 65, 56, 55, 65 and 84? (a) 66 (b) 65 (c) 67 (d) 64
39. 39.If 6 mangoes cost ₹60, how much do 7 mangoes cost? (a) ₹80 (b) ₹420 (c) ₹70 (d) ₹61
40. 40.If 5 January is a Wednesday, what day of the week is 13 January? (a) Friday (b) Saturday (c) Wednesday (d) Thursday

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