Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 675 · 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. 1.1/3 + 2/4 = ? (a) 3/4 (b) 5/6 (c) 3/7 (d) 11/12
2. 2.A shopkeeper buys a toy for ₹960 and sells it for ₹1104. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 16%
3. 3.Which fraction is greater: 3/10 or 1/5? (a) 3/10 (b) 1/5 (c) They are equal
4. 4.If 4x + 18 = 3x + 27, what is x? (a) 11 (b) 9 (c) 10 (d) 45
5. 5.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 6 days (d) 8 days
6. 6.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 224 min (b) 36 min (c) 4 min (d) 56 min
7. 7.What is 1/2 of 10? (a) 6 (b) 4 (c) 10 (d) 5
8. 8.What is the remainder when 578 is divided by 8? (a) 3 (b) 2 (c) 1 (d) 6
9. 9.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 16 (c) 76 (d) 62
10. 10.A shopkeeper buys a toy for ₹580 and sells it for ₹348. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
11. 11.What is the simple interest on ₹3500 at 12% per year for 5 years? (a) ₹2100 (b) ₹2520 (c) ₹420 (d) ₹5600
12. 12.What is the average of all the whole numbers from 8 to 28? (a) 18 (b) 20 (c) 19 (d) 10
13. 13.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
14. 14.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 78 sq cm (d) 65 sq cm
15. 15.What is 5/6 of 48? (a) 8 (b) 48 (c) 41 (d) 40
16. 16.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 19 days (d) 2 days
17. 17.A teacher has 40 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 40 (c) 8 (d) 4
18. 18.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 375 min (b) 75 min (c) 5 min (d) 40 min
19. 19.Today is Thursday. What day of the week will it be after 26 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
20. 20.4/5 + 2/5 = ? (a) 3/5 (b) 1 (c) 6/5 (d) 7/5
21. 21.If 2x + 2 = 6, what is x? (a) 1 (b) 4 (c) 2 (d) 3
22. 22.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
23. 23.7.34 + 6.1 = ? (a) 7.95 (b) 13.44 (c) 13.34 (d) 13.54
24. 24.Every pair follows the same rule: 2 : 12, 4 : 24, 8 : 48. What is 3 : ? (a) 17 (b) 19 (c) 18 (d) 13
25. 25.What is the value of the digit 2 in 82.913? (a) 0.02 (b) 2 (c) 20 (d) 0.2
26. 26.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
27. 27.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 48 sq cm (c) 60 sq cm (d) 32 sq cm
28. 28.A bag marked ₹1020 is sold at a 25% discount. What is its selling price? (a) ₹255 (b) ₹1275 (c) ₹995 (d) ₹765
29. 29.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 11 cm (c) 20 cm (d) 10 cm
30. 30.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 81 sq cm
31. 31.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 98 (b) 36 (c) 37 (d) 48
32. 32.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 28 cm (d) 48 cm
33. 33.If 6 December is a Thursday, what day of the week is 14 December? (a) Thursday (b) Friday (c) Saturday (d) Sunday
34. 34.The simple interest on ₹2500 for 3 years is ₹675. What is the rate per year? (a) 9% (b) 10% (c) 27% (d) 8%
35. 35.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 240 (b) 120 (c) 32 (d) 60
36. 36.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 1 cm (d) 2 cm
37. 37.4 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 21 days (c) 6 days (d) 7 days
38. 38.Two ribbons are 22 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 55 cm (c) 11 cm (d) 22 cm
39. 39.Today is Saturday. What day of the week will it be after 54 days? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
40. 40.A teacher has 44 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 11 (c) 220 (d) 44

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