Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 732 · 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 value of the digit 1 in 71.342? (a) 0.1 (b) 10 (c) 0.01 (d) 1
2. 2.If 2 July is a Tuesday, what day of the week is 10 July? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
3. 3.Which is the smallest: 0.53, 0.461, 0.5, 0.025? (a) 0.53 (b) 0.461 (c) 0.5 (d) 0.025
4. 4.Every pair follows the same rule: 2 : 14, 3 : 21, 7 : 49. What is 5 : ? (a) 34 (b) 36 (c) 17 (d) 35
5. 5.A teacher has 24 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 30 (c) 6 (d) 3
6. 6.What is the value of the digit 1 in 98.271? (a) 0.1 (b) 0.001 (c) 0.01 (d) 1
7. 7.If 5x + 3 = 78, what is x? (a) 14 (b) 15 (c) 75 (d) 16
8. 8.Today is Monday. What day of the week will it be after 45 days? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
9. 9.What is the units digit of 2^17? (a) 6 (b) 4 (c) 2 (d) 8
10. 10.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 192 min (c) 28 min (d) 48 min
11. 11.Every pair follows the same rule: 2 : 4, 3 : 9, 9 : 81. What is 8 : ? (a) 10 (b) 16 (c) 64 (d) 69
12. 12.Every pair follows the same rule: 3 : 17, 4 : 21, 8 : 37. What is 2 : ? (a) 16 (b) 13 (c) 14 (d) 12
13. 13.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 20 cm (c) 11 cm (d) 10 cm
14. 14.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 2 cm (c) 6 cm (d) 4 cm
15. 15.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 2 days (c) 3 days (d) 4 days
16. 16.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 41 (b) 29 (c) 32 (d) 15
17. 17.₹468 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹180 (b) ₹36 (c) ₹288 (d) ₹234
18. 18.5 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 10 days (c) 21 days (d) 14 days
19. 19.If 12 November is a Tuesday, what day of the week is 3 December? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
20. 20.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 240 min (c) 32 min (d) 60 min
21. 21.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 90 cm (c) 41 cm (d) 46 cm
22. 22.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 15 days (c) 22 days (d) 13 days
23. 23.In how many years will ₹10000 earn ₹2200 simple interest at 11% per year? (a) 2 years (b) 3 years (c) 4 years (d) 1 year
24. 24.In how many years will ₹9000 earn ₹4320 simple interest at 12% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
25. 25.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 180 (b) 27 (c) 120 (d) 60
26. 26.The simple interest on ₹1000 for 4 years is ₹240. What is the rate per year? (a) 24% (b) 5% (c) 6% (d) 7%
27. 27.5.74 + 7.1 = ? (a) 12.74 (b) 12.94 (c) 12.84 (d) 6.45
28. 28.₹2500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹300 (b) ₹2650 (c) ₹2950 (d) ₹2800
29. 29.Every pair follows the same rule: 2 : 18, 6 : 22, 7 : 23. What is 8 : ? (a) 23 (b) 25 (c) 24 (d) 72
30. 30.If 4 July is a Tuesday, what day of the week is 12 July? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
31. 31.Every pair follows the same rule: 2 : 10, 5 : 25, 6 : 30. What is 4 : ? (a) 12 (b) 21 (c) 20 (d) 19
32. 32.What is the value of the digit 2 in 86.219? (a) 2 (b) 0.2 (c) 0.02 (d) 0.002
33. 33.Which of these numbers is divisible by 11? (a) 3962 (b) 3957 (c) 3960 (d) 3974
34. 34.1/2 + 5/6 = ? (a) 3/2 (b) 4/3 (c) 3/4 (d) 7/6
35. 35.₹250 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹125 (b) ₹250 (c) ₹200 (d) ₹50
36. 36.A shopkeeper buys a toy for ₹820 and sells it for ₹943. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 16%
37. 37.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 92% (b) 10% (c) 15% (d) 5%
38. 38.Today is Thursday. What day of the week will it be after 11 days? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
39. 39.Two ribbons are 14 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 14 cm (c) 21 cm (d) 1 cm
40. 40.Today is Friday. What day of the week will it be after 59 days? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday

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