Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 245 · 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.Today is Tuesday. What day of the week will it be after 67 days? (a) Sunday (b) Saturday (c) Monday (d) Friday
2. 2.A bag marked ₹1240 is sold at a 10% discount. What is its selling price? (a) ₹1230 (b) ₹1364 (c) ₹1116 (d) ₹124
3. 3.A shopkeeper buys a toy for ₹840 and sells it for ₹882. What is his profit percent? (a) 42% (b) 5% (c) 6% (d) 10%
4. 4.The simple interest on ₹10000 for 3 years is ₹2700. What is the rate per year? (a) 27% (b) 8% (c) 10% (d) 9%
5. 5.A shopkeeper buys a toy for ₹920 and sells it for ₹1288. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
6. 6.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 72 (b) 35 (c) 25 (d) 26
7. 7.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 15 sq cm (c) 30 sq cm (d) 39 sq cm
8. 8.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 126 min (c) 3 min (d) 42 min
9. 9.What is the value of the digit 7 in 31.427? (a) 0.7 (b) 7 (c) 0.007 (d) 0.07
10. 10.₹266 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹19 (b) ₹171 (c) ₹133 (d) ₹95
11. 11.What is 3/5 of 40? (a) 32 (b) 24 (c) 8 (d) 16
12. 12.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 300 min (c) 5 min (d) 60 min
13. 13.If 31 July is a Saturday, what day of the week is 17 August? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
14. 14.Which is the smallest: 0.035, 0.29, 0.2, 0.136? (a) 0.035 (b) 0.29 (c) 0.2 (d) 0.136
15. 15.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 15 min (b) 54 min (c) 3 min (d) 18 min
16. 16.What is the value of the digit 3 in 36.482? (a) 0.03 (b) 3 (c) 30 (d) 0.3
17. 17.Which is the smallest: 0.075, 0.72, 0.7, 0.613? (a) 0.075 (b) 0.72 (c) 0.7 (d) 0.613
18. 18.Every pair follows the same rule: 3 : 22, 5 : 32, 9 : 52. What is 6 : ? (a) 38 (b) 37 (c) 36 (d) 25
19. 19.If 4 kites cost ₹68, how much do 2 kites cost? (a) ₹34 (b) ₹51 (c) ₹136 (d) ₹66
20. 20.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 216 (b) 36 (c) 30 (d) 72
21. 21.What is the remainder when 177 is divided by 4? (a) 1 (b) 3 (c) 0 (d) 2
22. 22.4 workers can build a wall in 15 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 10 days (c) 13 days (d) 17 days
23. 23.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 45 days (b) 44 days (c) 5 days (d) 17 days
24. 24.A bag marked ₹320 is sold at a 15% discount. What is its selling price? (a) ₹305 (b) ₹272 (c) ₹48 (d) ₹368
25. 25.What is the average of 73, 80, 66 and 53? (a) 70 (b) 69 (c) 67 (d) 68
26. 26.What is the units digit of 4^44? (a) 7 (b) 6 (c) 4 (d) 5
27. 27.7 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 11 days
28. 28.Which fraction is greater: 4/5 or 5/7? (a) 5/7 (b) They are equal (c) 4/5
29. 29.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 54% (b) 35% (c) 30% (d) 25%
30. 30.The simple interest on ₹3500 for 4 years is ₹1680. What is the rate per year? (a) 13% (b) 48% (c) 11% (d) 12%
31. 31.A teacher has 77 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 22 (c) 77 (d) 1
32. 32.If 3x − 21 = 18, what is x? (a) 39 (b) 13 (c) 14 (d) 12
33. 33.If 2 December is a Monday, what day of the week is 11 December? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
34. 34.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 126 (c) 63 (d) 30
35. 35.Two ribbons are 6 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 4 cm (c) 6 cm (d) 1 cm
36. 36.Every pair follows the same rule: 5 : 25, 8 : 40, 9 : 45. What is 2 : ? (a) 22 (b) 11 (c) 9 (d) 10
37. 37.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 49 (c) 37 (d) 24
38. 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
39. 39.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 14 (c) 35 (d) 13
40. 40.If 8 pens cost ₹152, how much do 3 pens cost? (a) ₹456 (b) ₹76 (c) ₹57 (d) ₹147

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