Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 704 · 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.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 50 min (c) 35 min (d) 250 min
2. 2.Every pair follows the same rule: 3 : 14, 5 : 30, 8 : 69. What is 4 : ? (a) 21 (b) 17 (c) 22 (d) 15
3. 3.If 5x − 17 = 3, what is x? (a) 5 (b) 3 (c) 4 (d) 20
4. 4.Today is Monday. What day of the week will it be after 62 days? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
5. 5.₹230 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹23 (b) ₹69 (c) ₹161 (d) ₹115
6. 6.If 10 May is a Sunday, what day of the week is 12 June? (a) Saturday (b) Friday (c) Thursday (d) Sunday
7. 7.1.11 + 2.7 = ? (a) 3.91 (b) 1.38 (c) 3.81 (d) 3.71
8. 8.Which fraction is greater: 1/5 or 2/3? (a) They are equal (b) 2/3 (c) 1/5
9. 9.1.88 + 3.2 = ? (a) 2.2 (b) 5.18 (c) 4.98 (d) 5.08
10. 10.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 168 (b) 84 (c) 26 (d) 85
11. 11.Every pair follows the same rule: 5 : 22, 6 : 33, 8 : 61. What is 2 : ? (a) 19 (b) 1 (c) 3 (d) 2
12. 12.If 6 pens cost ₹120, how much do 2 pens cost? (a) ₹60 (b) ₹240 (c) ₹40 (d) ₹116
13. 13.What is the average of all the whole numbers from 49 to 79? (a) 30 (b) 15 (c) 64 (d) 65
14. 14.What is 50% of 760? (a) 3800 (b) 380 (c) 760 (d) 381
15. 15.Every pair follows the same rule: 2 : 10, 7 : 35, 9 : 45. What is 4 : ? (a) 19 (b) 21 (c) 12 (d) 20
16. 16.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
17. 17.What is the remainder when 133 is divided by 3? (a) 1 (b) 0 (c) 2
18. 18.A teacher has 14 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 42 (b) 14 (c) 1 (d) 7
19. 19.4 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 14 days (c) 20 days (d) 21 days
20. 20.In how many years will ₹8000 earn ₹4800 simple interest at 12% per year? (a) 10 years (b) 5 years (c) 4 years (d) 6 years
21. 21.Every pair follows the same rule: 3 : 9, 4 : 14, 6 : 24. What is 5 : ? (a) 15 (b) 19 (c) 11 (d) 20
22. 22.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 320 (b) 160 (c) 36 (d) 80
23. 23.A teacher has 21 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 21 (c) 7 (d) 84
24. 24.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 125 (b) 101 (c) 11 (d) 20
25. 25.Which of these numbers is divisible by 11? (a) 8214 (b) 8186 (c) 8195 (d) 8201
26. 26.If 3 notebooks cost ₹30, how much do 4 notebooks cost? (a) ₹40 (b) ₹120 (c) ₹31 (d) ₹50
27. 27.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 19 (c) 31 (d) 20
28. 28.₹490 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹35 (b) ₹245 (c) ₹175 (d) ₹315
29. 29.If 5x + 4 = x + 8, what is x? (a) 1 (b) 2 (c) 4 (d) 3
30. 30.9.04 + 7.7 = ? (a) 16.74 (b) 9.81 (c) 16.84 (d) 16.64
31. 31.A bag marked ₹1460 is sold at a 50% discount. What is its selling price? (a) ₹731 (b) ₹1410 (c) ₹2190 (d) ₹730
32. 32.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 37 cm (c) 143 cm (d) 48 cm
33. 33.Two ribbons are 10 cm and 12 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) 1 cm (c) 60 cm (d) 10 cm
34. 34.If 7 kites cost ₹21, how much do 2 kites cost? (a) ₹6 (b) ₹9 (c) ₹42 (d) ₹16
35. 35.What is the average of all the whole numbers from 32 to 44? (a) 12 (b) 39 (c) 6 (d) 38
36. 36.2.33 + 7.6 = ? (a) 9.93 (b) 10.03 (c) 9.83 (d) 3.09
37. 37.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 9 cm (c) 10 cm (d) 18 cm
38. 38.If 10 July is a Saturday, what day of the week is 15 August? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
39. 39.What is the average of all the whole numbers from 14 to 24? (a) 20 (b) 19 (c) 5 (d) 10
40. 40.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 8 : ? (a) 16 (b) 10 (c) 44 (d) 64

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