Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 13 · 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.What is the average of 50, 48, 69 and 85? (a) 63 (b) 84 (c) 62 (d) 64
2. 2.If x/6 + 3 = 12, what is x? (a) 54 (b) 90 (c) 69 (d) 9
3. 3.Today is Thursday. What day of the week will it be after 44 days? (a) Saturday (b) Friday (c) Sunday (d) Monday
4. 4.Which of these numbers is divisible by 4? (a) 2791 (b) 2792 (c) 2795 (d) 2797
5. 5.Today is Friday. What day of the week will it be after 72 days? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
6. 6.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
7. 7.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 15 days (c) 20 days (d) 6 days
8. 8.If 8x + 3 = 4x + 43, what is x? (a) 10 (b) 11 (c) 9 (d) 12
9. 9.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 160 sq cm (c) 54 sq cm (d) 140 sq cm
10. 10.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 75 min (b) 5 min (c) 40 min (d) 375 min
11. 11.Which fraction is greater: 1/3 or 4/5? (a) They are equal (b) 4/5 (c) 1/3
12. 12.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 30 min (c) 150 min (d) 25 min
13. 13.If 5 August is a Tuesday, what day of the week is 14 August? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
14. 14.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
15. 15.If 21 July is a Tuesday, what day of the week is 5 August? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
16. 16.If 9x + 23 = 77, what is x? (a) 5 (b) 7 (c) 54 (d) 6
17. 17.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 29 cm (d) 77 cm
18. 18.Every pair follows the same rule: 2 : 8, 7 : 53, 9 : 85. What is 5 : ? (a) 21 (b) 29 (c) 11 (d) 20
19. 19.If 7x + 4 = 67, what is x? (a) 63 (b) 8 (c) 9 (d) 10
20. 20.4/9 + 7/9 = ? (a) 11/9 (b) 11/18 (c) 4/3 (d) 10/9
21. 21.If x/5 + 2 = 7, what is x? (a) 45 (b) 5 (c) 33 (d) 25
22. 22.What is the average of 86, 70, 74, 81, 84 and 79? (a) 78 (b) 80 (c) 81 (d) 79
23. 23.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 36 (b) 3 (c) 28 (d) 27
24. 24.What is the average of 78, 86, 67, 84 and 45? (a) 71 (b) 90 (c) 72 (d) 73
25. 25.What is the units digit of 9^27? (a) 9 (b) 1 (c) 8 (d) 7
26. 26.Today is Sunday. What day of the week will it be after 44 days? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
27. 27.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 108 sq cm (d) 90 sq cm
28. 28.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm
29. 29.A teacher has 24 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 3 (c) 24 (d) 216
30. 30.In how many years will ₹5000 earn ₹300 simple interest at 2% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
31. 31.₹105 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹71 (b) ₹70 (c) ₹35 (d) ₹105
32. 32.Two ribbons are 8 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 6 cm (c) 8 cm (d) 1 cm
33. 33.If 26 August is a Monday, what day of the week is 4 September? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
34. 34.If 7 mangoes cost ₹56, how much do 3 mangoes cost? (a) ₹168 (b) ₹52 (c) ₹24 (d) ₹32
35. 35.In how many years will ₹6000 earn ₹600 simple interest at 5% per year? (a) 1 year (b) 4 years (c) 2 years (d) 3 years
36. 36.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 220 sq cm (d) 240 sq cm
37. 37.If 7x + 5 = 40, what is x? (a) 4 (b) 5 (c) 6 (d) 35
38. 38.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 160 cm
39. 39.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 36 sq cm (d) 12 sq cm
40. 40.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 16 days (b) 13 days (c) 1 day (d) 2 days

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