Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 66 · 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. 1.1/2 + 4/6 = ? (a) 5/8 (b) 1 (c) 7/6 (d) 4/3
2. 2.In how many years will ₹7000 earn ₹1890 simple interest at 9% per year? (a) 2 years (b) 3 years (c) 6 years (d) 4 years
3. 3.If 11 October is a Wednesday, what day of the week is 24 October? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
4. 4.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 7 days (d) 6 days
5. 5.₹348 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹145 (b) ₹174 (c) ₹29 (d) ₹203
6. 6.Which of these numbers is divisible by 11? (a) 7268 (b) 7280 (c) 7288 (d) 7271
7. 7.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 216 min (b) 6 min (c) 36 min (d) 30 min
8. 8.Today is Monday. What day of the week will it be after 53 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
9. 9.3.39 + 9.5 = ? (a) 4.34 (b) 12.99 (c) 12.79 (d) 12.89
10. 10.What is 2/9 of 63? (a) 14 (b) 7 (c) 21 (d) 49
11. 11.Every pair follows the same rule: 3 : 13, 5 : 15, 9 : 19. What is 8 : ? (a) 18 (b) 17 (c) 19 (d) 20
12. 12.What is the units digit of 7^56? (a) 3 (b) 9 (c) 7 (d) 1
13. 13.If 1 January is a Thursday, what day of the week is 16 January? (a) Friday (b) Sunday (c) Thursday (d) Saturday
14. 14.What is the remainder when 408 is divided by 9? (a) 4 (b) 2 (c) 6 (d) 3
15. 15.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 260 sq cm (b) 32 sq cm (c) 64 sq cm (d) 240 sq cm
16. 16.A teacher has 49 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 392 (b) 1 (c) 7 (d) 49
17. 17.8 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 1 day (c) 16 days (d) 17 days
18. 18.₹440 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹200 (b) ₹40 (c) ₹220 (d) ₹240
19. 19.The simple interest on ₹4000 for 5 years is ₹800. What is the rate per year? (a) 3% (b) 20% (c) 5% (d) 4%
20. 20.What is 60% of 800? (a) 320 (b) 480 (c) 960 (d) 4800
21. 21.What is 1/2 of 6? (a) 2 (b) 3 (c) 6 (d) 4
22. 22.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 45 (b) 31 (c) 36 (d) 71
23. 23.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 10 days (c) 14 days (d) 4 days
24. 24.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 20 (b) 48 (c) 24 (d) 96
25. 25.6 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 43 days (c) 10 days (d) 42 days
26. 26.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 26 days (b) 27 days (c) 17 days (d) 9 days
27. 27.Which fraction is greater: 1/8 or 6/11? (a) 1/8 (b) 6/11 (c) They are equal
28. 28.₹2000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹2040 (b) ₹2120 (c) ₹80 (d) ₹2080
29. 29.3/9 + 1/2 = ? (a) 5/6 (b) 7/9 (c) 4/11 (d) 8/9
30. 30.₹3500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹3710 (b) ₹4340 (c) ₹4130 (d) ₹630
31. 31.If 14 May is a Sunday, what day of the week is 29 May? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
32. 32.What is the value of the digit 7 in 72.186? (a) 0.7 (b) 70 (c) 0.07 (d) 7
33. 33.Today is Friday. What day of the week will it be after 61 days? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
34. 34.What is 3/5 of 30? (a) 24 (b) 18 (c) 6 (d) 12
35. 35.What is the remainder when 318 is divided by 5? (a) 1 (b) 2 (c) 3 (d) 4
36. 36.Every pair follows the same rule: 3 : 9, 5 : 13, 6 : 15. What is 2 : ? (a) 8 (b) 6 (c) 9 (d) 7
37. 37.What is the simple interest on ₹8500 at 10% per year for 5 years? (a) ₹850 (b) ₹12750 (c) ₹4250 (d) ₹5100
38. 38.₹288 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹144 (b) ₹128 (c) ₹32 (d) ₹160
39. 39.What is 60% of 620? (a) 744 (b) 372 (c) 3720 (d) 248
40. 40.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm

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