Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 558 · 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 48 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 48 (b) 3 (c) 6 (d) 432
2. 2.What is 3/4 of 44? (a) 34 (b) 33 (c) 44 (d) 11
3. 3.What is the smallest number you must add to 334 to make it divisible by 12? (a) 3 (b) 1 (c) 2 (d) 10
4. 4.Which of these numbers is divisible by 6? (a) 3847 (b) 3856 (c) 3845 (d) 3846
5. 5.What is 75% of 600? (a) 900 (b) 4500 (c) 150 (d) 450
6. 6.What is the average of 76, 70, 69, 61, 57 and 39? (a) 63 (b) 61 (c) 64 (d) 62
7. 7.If 13 March is a Tuesday, what day of the week is 27 March? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
8. 8.In how many years will ₹4000 earn ₹960 simple interest at 8% per year? (a) 2 years (b) 4 years (c) 6 years (d) 3 years
9. 9.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 2 min (c) 22 min (d) 60 min
10. 10.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 51 cm (c) 37 cm (d) 40 cm
11. 11.If 11 August is a Wednesday, what day of the week is 12 September? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
12. 12.What is the value of the digit 4 in 95.243? (a) 0.4 (b) 0.004 (c) 4 (d) 0.04
13. 13.Every pair follows the same rule: 2 : 4, 7 : 49, 8 : 64. What is 5 : ? (a) 7 (b) 19 (c) 10 (d) 25
14. 14.If 6x − 14 = 46, what is x? (a) 11 (b) 10 (c) 60 (d) 9
15. 15.What is the remainder when 124 is divided by 6? (a) 4 (b) 5 (c) 2 (d) 3
16. 16.In how many years will ₹2500 earn ₹600 simple interest at 12% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
17. 17.What is the value of the digit 1 in 64.931? (a) 0.001 (b) 1 (c) 0.1 (d) 0.01
18. 18.Every pair follows the same rule: 3 : 15, 6 : 30, 9 : 45. What is 8 : ? (a) 41 (b) 40 (c) 20 (d) 39
19. 19.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 2 days (c) 33 days (d) 32 days
20. 20.If 18 January is a Tuesday, what day of the week is 20 February? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
21. 21.What is the simple interest on ₹4500 at 12% per year for 5 years? (a) ₹7200 (b) ₹540 (c) ₹3240 (d) ₹2700
22. 22.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 7 cm (d) 8 cm
23. 23.What is the average of all the whole numbers from 19 to 27? (a) 23 (b) 24 (c) 4 (d) 8
24. 24.A teacher has 70 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 70 (b) 10 (c) 5 (d) 560
25. 25.In how many years will ₹2500 earn ₹450 simple interest at 6% per year? (a) 4 years (b) 2 years (c) 3 years (d) 6 years
26. 26.What is the simple interest on ₹4500 at 10% per year for 4 years? (a) ₹6300 (b) ₹450 (c) ₹2250 (d) ₹1800
27. 27.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 30 cm (d) 16 cm
28. 28.Two ribbons are 14 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 1 cm (c) 49 cm (d) 7 cm
29. 29.Which fraction is greater: 7/9 or 2/5? (a) 7/9 (b) They are equal (c) 2/5
30. 30.Every pair follows the same rule: 3 : 11, 4 : 18, 7 : 51. What is 9 : ? (a) 84 (b) 17 (c) 73 (d) 83
31. 31.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
32. 32.If 6 January is a Sunday, what day of the week is 14 January? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
33. 33.Every pair follows the same rule: 4 : 15, 6 : 35, 8 : 63. What is 9 : ? (a) 81 (b) 20 (c) 80 (d) 77
34. 34.If 15 January is a Thursday, what day of the week is 26 January? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
35. 35.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 27 cm (d) 24 cm
36. 36.Which is the greatest: 0.578, 0.68, 0.014, 0.6? (a) 0.578 (b) 0.68 (c) 0.014 (d) 0.6
37. 37.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 9 cm (d) 18 cm
38. 38.What is the remainder when 253 is divided by 12? (a) 1 (b) 0 (c) 2 (d) 11
39. 39.If 8x + 25 = 97, what is x? (a) 8 (b) 72 (c) 9 (d) 10
40. 40.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 50 sq cm (c) 40 sq cm (d) 14 sq cm

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