Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 368 · 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.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) 16 (b) 4 (c) 2 (d) 20
2. 2.Every pair follows the same rule: 4 : 16, 5 : 25, 9 : 81. What is 8 : ? (a) 67 (b) 32 (c) 20 (d) 64
3. 3.Which is the greatest: 0.042, 0.319, 0.4, 0.41? (a) 0.042 (b) 0.319 (c) 0.4 (d) 0.41
4. 4.Every pair follows the same rule: 7 : 21, 8 : 23, 9 : 25. What is 3 : ? (a) 17 (b) 14 (c) 9 (d) 13
5. 5.₹204 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹85 (b) ₹102 (c) ₹17 (d) ₹119
6. 6.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 60 (b) 30 (c) 16 (d) 31
7. 7.What is 3/8 of 64? (a) 40 (b) 8 (c) 32 (d) 24
8. 8.Every pair follows the same rule: 2 : 7, 4 : 11, 8 : 19. What is 7 : ? (a) 18 (b) 16 (c) 12 (d) 17
9. 9.Which fraction is greater: 2/5 or 9/10? (a) 2/5 (b) 9/10 (c) They are equal
10. 10.Today is Friday. What day of the week will it be after 83 days? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
11. 11.The simple interest on ₹6500 for 2 years is ₹1560. What is the rate per year? (a) 13% (b) 24% (c) 11% (d) 12%
12. 12.What is the value of the digit 9 in 28.964? (a) 9 (b) 0.09 (c) 0.9 (d) 0.009
13. 13.If 22 January is a Thursday, what day of the week is 6 February? (a) Sunday (b) Saturday (c) Thursday (d) Friday
14. 14.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 3 cm (c) 4 cm (d) 6 cm
15. 15.A bag marked ₹1940 is sold at a 50% discount. What is its selling price? (a) ₹2910 (b) ₹971 (c) ₹970 (d) ₹1890
16. 16.What is 4/5 of 45? (a) 37 (b) 45 (c) 36 (d) 9
17. 17.If 3 pens cost ₹66, how much do 2 pens cost? (a) ₹65 (b) ₹132 (c) ₹44 (d) ₹66
18. 18.What is 60% of 680? (a) 4080 (b) 816 (c) 272 (d) 408
19. 19.Two ribbons are 20 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 2 cm (c) 20 cm (d) 4 cm
20. 20.A bag marked ₹1900 is sold at a 20% discount. What is its selling price? (a) ₹380 (b) ₹1880 (c) ₹1520 (d) ₹2280
21. 21.What is the units digit of 4^47? (a) 3 (b) 5 (c) 4 (d) 6
22. 22.If 3x + 5 = 2x + 16, what is x? (a) 21 (b) 11 (c) 13 (d) 12
23. 23.A shopkeeper buys a toy for ₹460 and sells it for ₹506. What is his profit percent? (a) 46% (b) 5% (c) 15% (d) 10%
24. 24.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 60 (b) 120 (c) 32 (d) 240
25. 25.Every pair follows the same rule: 4 : 16, 6 : 36, 9 : 81. What is 5 : ? (a) 20 (b) 25 (c) 17 (d) 21
26. 26.Every pair follows the same rule: 4 : 16, 7 : 49, 9 : 81. What is 6 : ? (a) 18 (b) 36 (c) 33 (d) 24
27. 27.What is the simple interest on ₹3500 at 2% per year for 4 years? (a) ₹280 (b) ₹350 (c) ₹3780 (d) ₹70
28. 28.A teacher has 8 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 4 (d) 8
29. 29.If 2x − 6 = 4, what is x? (a) 4 (b) 10 (c) 6 (d) 5
30. 30.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 21 (b) 45 (c) 9 (d) 10
31. 31.A shopkeeper buys a toy for ₹800 and sells it for ₹840. What is his profit percent? (a) 6% (b) 10% (c) 40% (d) 5%
32. 32.1/5 + 3/4 = ? (a) 1 (b) 9/10 (c) 4/9 (d) 19/20
33. 33.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 180 (b) 270 (c) 90 (d) 33
34. 34.If 5x − 2 = 43, what is x? (a) 10 (b) 9 (c) 8 (d) 45
35. 35.8.37 + 2.2 = ? (a) 10.67 (b) 10.57 (c) 8.59 (d) 10.47
36. 36.What is the value of the digit 7 in 23.671? (a) 0.007 (b) 0.7 (c) 0.07 (d) 7
37. 37.7 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 7 days (d) 9 days
38. 38.2.54 + 3.6 = ? (a) 6.24 (b) 6.14 (c) 2.9 (d) 6.04
39. 39.What is the value of the digit 6 in 16.943? (a) 60 (b) 0.6 (c) 0.06 (d) 6
40. 40.Which is the smallest: 0.37, 0.037, 0.3, 0.256? (a) 0.37 (b) 0.037 (c) 0.3 (d) 0.256

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