Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 109 · 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. 1.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 21 days (c) 22 days (d) 15 days
2. 2.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 12 min (c) 24 min (d) 10 min
3. 3.7.08 + 7.3 = ? (a) 7.81 (b) 14.28 (c) 14.48 (d) 14.38
4. 4.What is the average of 69, 55, 53, 42, 67 and 56? (a) 57 (b) 59 (c) 58 (d) 56
5. 5.What is the value of the digit 5 in 94.513? (a) 0.05 (b) 5 (c) 0.005 (d) 0.5
6. 6.Which of these numbers is divisible by 3? (a) 226 (b) 223 (c) 230 (d) 225
7. 7.The simple interest on ₹9500 for 3 years is ₹1995. What is the rate per year? (a) 7% (b) 6% (c) 8% (d) 21%
8. 8.The simple interest on ₹1500 for 3 years is ₹360. What is the rate per year? (a) 9% (b) 24% (c) 8% (d) 7%
9. 9.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
10. 10.What is the average of all the whole numbers from 19 to 35? (a) 16 (b) 28 (c) 27 (d) 8
11. 11.What is 1/2 of 12? (a) 6 (b) 7 (c) 5 (d) 12
12. 12.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 45 (b) 90 (c) 24 (d) 135
13. 13.What is 1/2 of 18? (a) 10 (b) 18 (c) 9 (d) 8
14. 14.If x/3 + 11 = 15, what is x? (a) 34 (b) 78 (c) 4 (d) 12
15. 15.Two ribbons are 16 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 56 cm (c) 8 cm (d) 4 cm
16. 16.4.29 + 1.9 = ? (a) 6.09 (b) 6.29 (c) 6.19 (d) 4.48
17. 17.If 3 mangoes cost ₹27, how much do 7 mangoes cost? (a) ₹189 (b) ₹63 (c) ₹31 (d) ₹72
18. 18.Which is the greatest: 0.512, 0.6, 0.63, 0.075? (a) 0.512 (b) 0.6 (c) 0.63 (d) 0.075
19. 19.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
20. 20.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 84 min (c) 40 min (d) 4 min
21. 21.Today is Tuesday. What day of the week will it be after 85 days? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
22. 22.If 3 mangoes cost ₹66, how much do 5 mangoes cost? (a) ₹110 (b) ₹132 (c) ₹330 (d) ₹68
23. 23.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 24 (b) 48 (c) 96 (d) 20
24. 24.If 5x + 4 = 4x + 14, what is x? (a) 10 (b) 12 (c) 18 (d) 11
25. 25.A shopkeeper buys a toy for ₹820 and sells it for ₹1230. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
26. 26.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 24 cm (d) 12 cm
27. 27.What is the remainder when 263 is divided by 11? (a) 10 (b) 1 (c) 9 (d) 8
28. 28.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 61 (b) 10 (c) 55 (d) 53
29. 29.A bag marked ₹1100 is sold at a 30% discount. What is its selling price? (a) ₹1070 (b) ₹330 (c) ₹1430 (d) ₹770
30. 30.Two ribbons are 20 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 4 cm (c) 16 cm (d) 2 cm
31. 31.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 119 cm (c) 41 cm (d) 48 cm
32. 32.A teacher has 42 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 294 (b) 42 (c) 1 (d) 7
33. 33.If 6x − 3 = 21, what is x? (a) 5 (b) 3 (c) 4 (d) 24
34. 34.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 8 cm (c) 114 cm (d) 7 cm
35. 35.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 3 min (c) 30 min (d) 90 min
36. 36.8.55 + 9.1 = ? (a) 17.55 (b) 9.46 (c) 17.65 (d) 17.75
37. 37.A shopkeeper buys a toy for ₹1000 and sells it for ₹1250. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
38. 38.In how many years will ₹3500 earn ₹1750 simple interest at 10% per year? (a) 5 years (b) 10 years (c) 4 years (d) 6 years
39. 39.If 7x + 9 = 4x + 15, what is x? (a) 3 (b) 4 (c) 8 (d) 2
40. 40.Which is the greatest: 0.6, 0.586, 0.094, 0.62? (a) 0.6 (b) 0.586 (c) 0.094 (d) 0.62

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