Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 403 · 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.If 30 June is a Sunday, what day of the week is 7 July? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
2. 2.If 15 May is a Tuesday, what day of the week is 23 May? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
3. 3.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
4. 4.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 504 (b) 54 (c) 168 (d) 84
5. 5.Today is Friday. What day of the week will it be after 72 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
6. 6.What is the value of the digit 8 in 36.812? (a) 0.08 (b) 0.008 (c) 8 (d) 0.8
7. 7.If 6 January is a Friday, what day of the week is 14 January? (a) Saturday (b) Monday (c) Sunday (d) Friday
8. 8.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
9. 9.Which fraction is greater: 5/7 or 10/11? (a) They are equal (b) 10/11 (c) 5/7
10. 10.Today is Thursday. What day of the week will it be after 25 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
11. 11.A shopkeeper buys a toy for ₹560 and sells it for ₹784. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
12. 12.What is the value of the digit 4 in 73.849? (a) 0.004 (b) 4 (c) 0.4 (d) 0.04
13. 13.Every pair follows the same rule: 3 : 17, 6 : 44, 7 : 57. What is 4 : ? (a) 24 (b) 23 (c) 25 (d) 18
14. 14.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) 6 (c) 3 (d) 30
15. 15.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 6 (b) 25 (c) 5 (d) 12
16. 16.If 8 October is a Thursday, what day of the week is 23 October? (a) Sunday (b) Saturday (c) Friday (d) Thursday
17. 17.Today is Sunday. What day of the week will it be after 47 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
18. 18.The simple interest on ₹6500 for 3 years is ₹780. What is the rate per year? (a) 3% (b) 12% (c) 5% (d) 4%
19. 19.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 39 days (b) 19 days (c) 7 days (d) 40 days
20. 20.Which of these numbers is divisible by 11? (a) 634 (b) 621 (c) 647 (d) 627
21. 21.What is 10% of 140? (a) 28 (b) 140 (c) 126 (d) 14
22. 22.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 3 : ? (a) 9 (b) 12 (c) 10 (d) 15
23. 23.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 756 (b) 252 (c) 126 (d) 60
24. 24.If 5x − 12 = 43, what is x? (a) 55 (b) 11 (c) 10 (d) 12
25. 25.If 8 pens cost ₹80, how much do 2 pens cost? (a) ₹160 (b) ₹30 (c) ₹20 (d) ₹74
26. 26.Which fraction is greater: 8/11 or 2/3? (a) 2/3 (b) They are equal (c) 8/11
27. 27.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 15% (b) 25% (c) 21% (d) 20%
28. 28.If 7x + 27 = 41, what is x? (a) 2 (b) 14 (c) 1 (d) 3
29. 29.Today is Wednesday. What day of the week will it be after 77 days? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
30. 30.If 16 August is a Sunday, what day of the week is 12 September? (a) Monday (b) Saturday (c) Sunday (d) Friday
31. 31.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
32. 32.4/6 + 3/8 = ? (a) 1 (b) 1/2 (c) 25/24 (d) 13/12
33. 33.If 6x + 29 = 59, what is x? (a) 30 (b) 6 (c) 5 (d) 4
34. 34.If 3 March is a Sunday, what day of the week is 13 March? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
35. 35.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 42 cm (c) 38 cm (d) 21 cm
36. 36.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 15 days (b) 20 days (c) 6 days (d) 5 days
37. 37.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 105 min (c) 5 min (d) 525 min
38. 38.Which fraction is greater: 6/11 or 2/3? (a) They are equal (b) 2/3 (c) 6/11
39. 39.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 71 (b) 39 (c) 36 (d) 43
40. 40.If 12 July is a Thursday, what day of the week is 25 July? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday

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