Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 278 · 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 3 August is a Monday, what day of the week is 16 August? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
2. 2.Two ribbons are 10 cm and 18 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) 10 cm (c) 2 cm (d) 1 cm
3. 3.Every pair follows the same rule: 2 : 8, 6 : 24, 7 : 28. What is 5 : ? (a) 21 (b) 19 (c) 11 (d) 20
4. 4.8.06 + 1.7 = ? (a) 8.23 (b) 9.86 (c) 9.76 (d) 9.66
5. 5.₹9500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹10450 (b) ₹3800 (c) ₹14250 (d) ₹13300
6. 6.Which fraction is greater: 1/4 or 2/5? (a) They are equal (b) 1/4 (c) 2/5
7. 7.What is the units digit of 4^47? (a) 4 (b) 3 (c) 5 (d) 6
8. 8.1/3 + 7/8 = ? (a) 7/6 (b) 5/4 (c) 29/24 (d) 8/11
9. 9.Which fraction is greater: 3/10 or 1/5? (a) 1/5 (b) 3/10 (c) They are equal
10. 10.If 3x + 14 = 2x + 18, what is x? (a) 4 (b) 32 (c) 5 (d) 6
11. 11.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 24 min (c) 2 min (d) 140 min
12. 12.What is the smallest number you must add to 474 to make it divisible by 12? (a) 8 (b) 7 (c) 5 (d) 6
13. 13.What is 75% of 420? (a) 315 (b) 3150 (c) 630 (d) 105
14. 14.If 4x + 8 = 3x + 9, what is x? (a) 1 (b) 3 (c) 2 (d) 17
15. 15.Every pair follows the same rule: 3 : 10, 6 : 37, 7 : 50. What is 9 : ? (a) 83 (b) 16 (c) 76 (d) 82
16. 16.What is 25% of 140? (a) 105 (b) 350 (c) 70 (d) 35
17. 17.Which is the smallest: 0.028, 0.686, 0.7, 0.79? (a) 0.028 (b) 0.686 (c) 0.7 (d) 0.79
18. 18.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 18 (b) 61 (c) 77 (d) 63
19. 19.What is the value of the digit 6 in 45.968? (a) 6 (b) 0.6 (c) 0.006 (d) 0.06
20. 20.What is the smallest number you must add to 84 to make it divisible by 8? (a) 3 (b) 6 (c) 4 (d) 5
21. 21.What is the average of all the whole numbers from 55 to 93? (a) 75 (b) 74 (c) 38 (d) 19
22. 22.What is the units digit of 9^53? (a) 1 (b) 7 (c) 8 (d) 9
23. 23.What is the simple interest on ₹1500 at 11% per year for 3 years? (a) ₹1995 (b) ₹660 (c) ₹495 (d) ₹165
24. 24.Which is the smallest: 0.696, 0.078, 0.7, 0.78? (a) 0.696 (b) 0.078 (c) 0.7 (d) 0.78
25. 25.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 315 min (b) 3 min (c) 36 min (d) 105 min
26. 26.What is the smallest number you must add to 95 to make it divisible by 4? (a) 3 (b) 1 (c) 2
27. 27.₹2500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹1200 (b) ₹2800 (c) ₹4000 (d) ₹3700
28. 28.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 108 min (b) 3 min (c) 36 min (d) 21 min
29. 29.If 4 pens cost ₹44, how much do 12 pens cost? (a) ₹52 (b) ₹132 (c) ₹528 (d) ₹143
30. 30.3/6 + 1/3 = ? (a) 4/9 (b) 5/6 (c) 1 (d) 2/3
31. 31.If 1 January is a Monday, what day of the week is 16 January? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
32. 32.What is 7/9 of 99? (a) 11 (b) 88 (c) 77 (d) 22
33. 33.A teacher has 20 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 100 (c) 5 (d) 1
34. 34.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 95 (b) 64 (c) 39 (d) 47
35. 35.Which is the smallest: 0.74, 0.024, 0.7, 0.627? (a) 0.74 (b) 0.024 (c) 0.7 (d) 0.627
36. 36.9.81 + 1.2 = ? (a) 9.93 (b) 10.91 (c) 11.01 (d) 11.11
37. 37.8.25 + 5.4 = ? (a) 8.79 (b) 13.75 (c) 13.55 (d) 13.65
38. 38.What is the average of all the whole numbers from 59 to 67? (a) 8 (b) 64 (c) 4 (d) 63
39. 39.If 13 July is a Friday, what day of the week is 28 July? (a) Sunday (b) Friday (c) Saturday (d) Monday
40. 40.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 10 cm (c) 28 cm (d) 5 cm

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