Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 152 · 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 10 December is a Sunday, what day of the week is 22 December? (a) Saturday (b) Friday (c) Thursday (d) Sunday
2. 2.Two ribbons are 72 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 72 cm (b) 12 cm (c) 504 cm (d) 6 cm
3. 3.3.22 + 5.7 = ? (a) 3.79 (b) 8.92 (c) 9.02 (d) 8.82
4. 4.Every pair follows the same rule: 2 : 16, 3 : 17, 7 : 21. What is 8 : ? (a) 23 (b) 64 (c) 22 (d) 21
5. 5.A teacher has 36 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 36 (c) 180 (d) 9
6. 6.The simple interest on ₹6000 for 2 years is ₹1080. What is the rate per year? (a) 18% (b) 8% (c) 9% (d) 10%
7. 7.What is the average of 20, 42, 14 and 36? (a) 28 (b) 27 (c) 29 (d) 30
8. 8.If 3 March is a Friday, what day of the week is 11 March? (a) Monday (b) Friday (c) Saturday (d) Sunday
9. 9.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 180 min (c) 3 min (d) 60 min
10. 10.If 8x − 58 = 38, what is x? (a) 96 (b) 11 (c) 13 (d) 12
11. 11.Today is Sunday. What day of the week will it be after 84 days? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
12. 12.1/9 + 1/2 = ? (a) 2/3 (b) 5/9 (c) 11/18 (d) 2/11
13. 13.If 8x + 3 = 27, what is x? (a) 4 (b) 24 (c) 3 (d) 2
14. 14.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
15. 15.A teacher has 4 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 1 (c) 6 (d) 4
16. 16.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 378 min (c) 39 min (d) 3 min
17. 17.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 34 cm (c) 44 cm (d) 22 cm
18. 18.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 3 cm (d) 4 cm
19. 19.The simple interest on ₹5000 for 3 years is ₹600. What is the rate per year? (a) 3% (b) 12% (c) 5% (d) 4%
20. 20.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 63 min (b) 30 min (c) 189 min (d) 3 min
21. 21.What is the units digit of 2^22? (a) 8 (b) 6 (c) 4 (d) 2
22. 22.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 480 min (c) 44 min (d) 120 min
23. 23.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 50 (c) 15 (d) 40
24. 24.The simple interest on ₹7000 for 3 years is ₹2310. What is the rate per year? (a) 10% (b) 11% (c) 33% (d) 12%
25. 25.If 16 July is a Saturday, what day of the week is 10 August? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
26. 26.What is the simple interest on ₹5000 at 7% per year for 2 years? (a) ₹5700 (b) ₹350 (c) ₹700 (d) ₹1050
27. 27.If 14 July is a Wednesday, what day of the week is 3 August? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
28. 28.Every pair follows the same rule: 4 : 8, 8 : 12, 9 : 13. What is 5 : ? (a) 11 (b) 10 (c) 8 (d) 9
29. 29.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 10 cm (d) 11 cm
30. 30.If x/2 + 11 = 16, what is x? (a) 5 (b) 10 (c) 21 (d) 54
31. 31.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
32. 32.A teacher has 8 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 4 (d) 8
33. 33.What is the value of the digit 8 in 93.826? (a) 0.8 (b) 0.08 (c) 8 (d) 0.008
34. 34.3/5 + 1/5 = ? (a) 3/5 (b) 2/5 (c) 1 (d) 4/5
35. 35.What is 7/8 of 32? (a) 32 (b) 4 (c) 29 (d) 28
36. 36.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 84 min (c) 504 min (d) 54 min
37. 37.What is the average of 68, 54, 61 and 33? (a) 72 (b) 53 (c) 55 (d) 54
38. 38.What is the remainder when 139 is divided by 3? (a) 2 (b) 1 (c) 0
39. 39.Every pair follows the same rule: 3 : 16, 4 : 17, 6 : 19. What is 9 : ? (a) 21 (b) 24 (c) 22 (d) 23
40. 40.What is the units digit of 4^19? (a) 6 (b) 4 (c) 5 (d) 3

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