Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 731 · 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 6 children or among 14 children, with none left over? (a) 84 (b) 42 (c) 20 (d) 43
2. 2.Every pair follows the same rule: 4 : 20, 5 : 24, 7 : 32. What is 2 : ? (a) 13 (b) 10 (c) 18 (d) 12
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.Which is the smallest: 0.33, 0.089, 0.219, 0.3? (a) 0.33 (b) 0.089 (c) 0.219 (d) 0.3
5. 5.If 6x − 3 = 33, what is x? (a) 7 (b) 6 (c) 36 (d) 5
6. 6.Today is Thursday. What day of the week will it be after 30 days? (a) Monday (b) Friday (c) Saturday (d) Sunday
7. 7.₹180 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹180 (b) ₹20 (c) ₹90 (d) ₹160
8. 8.Every pair follows the same rule: 2 : 2, 4 : 14, 8 : 62. What is 5 : ? (a) 5 (b) 23 (c) 24 (d) 26
9. 9.If 7x + 25 = 46, what is x? (a) 4 (b) 3 (c) 2 (d) 21
10. 10.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 24 (b) 25 (c) 14 (d) 48
11. 11.A shopkeeper buys a toy for ₹880 and sells it for ₹1144. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 31%
12. 12.If 11 May is a Saturday, what day of the week is 13 June? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
13. 13.Today is Monday. What day of the week will it be after 35 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
14. 14.5 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 11 days (b) 6 days (c) 4 days (d) 5 days
15. 15.What is the average of all the whole numbers from 60 to 92? (a) 16 (b) 77 (c) 76 (d) 32
16. 16.Every pair follows the same rule: 3 : 12, 6 : 21, 8 : 27. What is 9 : ? (a) 18 (b) 36 (c) 30 (d) 31
17. 17.A teacher has 70 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 20 (c) 70 (d) 10
18. 18.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 22 cm (c) 35 cm (d) 44 cm
19. 19.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 15 cm (d) 56 cm
20. 20.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 5 cm (c) 24 cm (d) 10 cm
21. 21.Which of these numbers is divisible by 8? (a) 2255 (b) 2236 (c) 2245 (d) 2240
22. 22.₹104 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹39 (b) ₹65 (c) ₹52 (d) ₹13
23. 23.₹506 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹46 (b) ₹368 (c) ₹138 (d) ₹253
24. 24.If 9 January is a Sunday, what day of the week is 17 January? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
25. 25.What is 10% of 740? (a) 74 (b) 740 (c) 666 (d) 148
26. 26.Every pair follows the same rule: 2 : 7, 6 : 27, 7 : 32. What is 3 : ? (a) 13 (b) 12 (c) 11 (d) 8
27. 27.A teacher has 16 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 16 (c) 4 (d) 20
28. 28.Every pair follows the same rule: 4 : 24, 7 : 42, 9 : 54. What is 6 : ? (a) 37 (b) 26 (c) 35 (d) 36
29. 29.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 4 : ? (a) 16 (b) 12 (c) 10 (d) 4
30. 30.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 35%
31. 31.If 7x − 25 = 17, what is x? (a) 6 (b) 7 (c) 42 (d) 5
32. 32.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 7 (b) 56 (c) 50 (d) 99
33. 33.If 2x + 8 = 38, what is x? (a) 16 (b) 15 (c) 30 (d) 23
34. 34.A shopkeeper buys a toy for ₹340 and sells it for ₹442. What is his profit percent? (a) 25% (b) 31% (c) 30% (d) 35%
35. 35.Which is the smallest: 0.012, 0.279, 0.32, 0.3? (a) 0.012 (b) 0.279 (c) 0.32 (d) 0.3
36. 36.What is the units digit of 4^19? (a) 6 (b) 5 (c) 4 (d) 3
37. 37.7/9 + 2/3 = ? (a) 4/3 (b) 3/4 (c) 13/9 (d) 14/9
38. 38.In how many years will ₹2000 earn ₹800 simple interest at 10% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
39. 39.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 56 min (c) 2 min (d) 112 min
40. 40.6.21 + 6.2 = ? (a) 12.51 (b) 12.31 (c) 12.41 (d) 6.83

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