Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 150 · 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.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 54 (b) 504 (c) 168 (d) 84
2. 2.Which of these numbers is divisible by 4? (a) 2007 (b) 2002 (c) 2004 (d) 2011
3. 3.If 8x − 3 = 37, what is x? (a) 5 (b) 4 (c) 40 (d) 6
4. 4.A bag marked ₹1300 is sold at a 30% discount. What is its selling price? (a) ₹1690 (b) ₹390 (c) ₹910 (d) ₹1270
5. 5.Two ribbons are 49 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) 14 cm (b) 49 cm (c) 1 cm (d) 7 cm
6. 6.Which is the greatest: 0.8, 0.074, 0.88, 0.774? (a) 0.8 (b) 0.074 (c) 0.88 (d) 0.774
7. 7.If 27 June is a Thursday, what day of the week is 12 July? (a) Sunday (b) Friday (c) Thursday (d) Saturday
8. 8.If 15 July is a Saturday, what day of the week is 31 July? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
9. 9.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 10 (b) 55 (c) 47 (d) 49
10. 10.If 7 January is a Friday, what day of the week is 18 January? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
11. 11.Today is Monday. What day of the week will it be after 73 days? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
12. 12.The simple interest on ₹1000 for 2 years is ₹240. What is the rate per year? (a) 13% (b) 11% (c) 24% (d) 12%
13. 13.What is the remainder when 91 is divided by 9? (a) 0 (b) 2 (c) 8 (d) 1
14. 14.If 6 July is a Friday, what day of the week is 18 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
15. 15.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 5 days (d) 8 days
16. 16.Which of these numbers is divisible by 8? (a) 2672 (b) 2679 (c) 2683 (d) 2670
17. 17.What is the value of the digit 9 in 29.318? (a) 90 (b) 9 (c) 0.9 (d) 0.09
18. 18.1/4 + 3/7 = ? (a) 5/7 (b) 9/14 (c) 19/28 (d) 4/11
19. 19.What is 7/9 of 36? (a) 4 (b) 28 (c) 32 (d) 8
20. 20.Today is Tuesday. What day of the week will it be after 54 days? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
21. 21.Every pair follows the same rule: 2 : 10, 4 : 20, 7 : 35. What is 9 : ? (a) 46 (b) 17 (c) 45 (d) 44
22. 22.Which fraction is greater: 7/10 or 4/9? (a) They are equal (b) 4/9 (c) 7/10
23. 23.In how many years will ₹9000 earn ₹3150 simple interest at 7% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
24. 24.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 100 sq cm (c) 90 sq cm (d) 38 sq cm
25. 25.₹324 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹36 (b) ₹72 (c) ₹252 (d) ₹162
26. 26.What is the average of all the whole numbers from 13 to 41? (a) 27 (b) 26 (c) 28 (d) 14
27. 27.A shopkeeper buys a toy for ₹840 and sells it for ₹1176. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
28. 28.What is the value of the digit 4 in 28.174? (a) 0.04 (b) 0.004 (c) 0.4 (d) 4
29. 29.What is 25% of 780? (a) 390 (b) 585 (c) 1950 (d) 195
30. 30.If 7x + 4 = 39, what is x? (a) 35 (b) 6 (c) 4 (d) 5
31. 31.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 2 min (c) 14 min (d) 24 min
32. 32.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 63 (b) 14 (c) 29 (d) 15
33. 33.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 19 days (d) 3 days
34. 34.What is 2/7 of 42? (a) 30 (b) 12 (c) 6 (d) 18
35. 35.₹2500 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹3325 (b) ₹3600 (c) ₹825 (d) ₹2775
36. 36.8.81 + 2.6 = ? (a) 11.41 (b) 11.31 (c) 11.51 (d) 9.07
37. 37.Two ribbons are 18 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 9 cm (c) 18 cm (d) 63 cm
38. 38.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
39. 39.1.83 + 1.3 = ? (a) 1.96 (b) 3.13 (c) 3.03 (d) 3.23
40. 40.What is the average of 49, 41, 42, 52 and 81? (a) 53 (b) 55 (c) 52 (d) 54

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