Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 718 · 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 ribbons are 49 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) 7 cm (b) 1 cm (c) 49 cm (d) 14 cm
2. 2.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 24 (b) 14 (c) 25 (d) 48
3. 3.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 60 (b) 150 (c) 30 (d) 25
4. 4.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
5. 5.₹120 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹72 (b) ₹24 (c) ₹48 (d) ₹60
6. 6.A shopkeeper buys a toy for ₹900 and sells it for ₹855. What is his loss percent? (a) 6% (b) 45% (c) 5% (d) 10%
7. 7.Two ribbons are 36 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 9 cm (c) 180 cm (d) 36 cm
8. 8.Which of these numbers is divisible by 11? (a) 3231 (b) 3242 (c) 3248 (d) 3234
9. 9.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 280 (b) 700 (c) 140 (d) 55
10. 10.If 13 April is a Tuesday, what day of the week is 10 May? (a) Monday (b) Tuesday (c) Sunday (d) Wednesday
11. 11.If 4x + 7 = 19, what is x? (a) 2 (b) 4 (c) 3 (d) 12
12. 12.A teacher has 21 pencils and 56 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) 35 (d) 7
13. 13.Two ribbons are 36 cm and 96 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 6 cm (c) 36 cm (d) 60 cm
14. 14.Every pair follows the same rule: 6 : 18, 7 : 21, 9 : 27. What is 2 : ? (a) 7 (b) 14 (c) 5 (d) 6
15. 15.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 42 cm (c) 17 cm (d) 31 cm
16. 16.In how many years will ₹4000 earn ₹1000 simple interest at 5% per year? (a) 4 years (b) 6 years (c) 10 years (d) 5 years
17. 17.Two ribbons are 10 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 25 cm (c) 10 cm (d) 1 cm
18. 18.A bag marked ₹1940 is sold at a 10% discount. What is its selling price? (a) ₹1930 (b) ₹2134 (c) ₹194 (d) ₹1746
19. 19.What is the units digit of 4^52? (a) 4 (b) 6 (c) 5 (d) 7
20. 20.1/7 + 1/3 = ? (a) 11/21 (b) 3/7 (c) 10/21 (d) 1/5
21. 21.A shopkeeper buys a toy for ₹1000 and sells it for ₹800. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
22. 22.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 56 (c) 69 (d) 109
23. 23.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 500 min (b) 45 min (c) 100 min (d) 5 min
24. 24.5/9 + 3/4 = ? (a) 8/13 (b) 47/36 (c) 4/3 (d) 23/18
25. 25.Two ribbons are 6 cm and 9 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 18 cm (d) 1 cm
26. 26.What is the value of the digit 1 in 71.542? (a) 0.01 (b) 10 (c) 0.1 (d) 1
27. 27.In how many years will ₹8500 earn ₹1530 simple interest at 9% per year? (a) 3 years (b) 4 years (c) 1 year (d) 2 years
28. 28.Which is the greatest: 0.021, 0.334, 0.41, 0.4? (a) 0.021 (b) 0.334 (c) 0.41 (d) 0.4
29. 29.If 7 January is a Friday, what day of the week is 19 January? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
30. 30.If 1 March is a Monday, what day of the week is 12 March? (a) Friday (b) Thursday (c) Saturday (d) Sunday
31. 31.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 36 cm (d) 15 cm
32. 32.If 7 kites cost ₹91, how much do 10 kites cost? (a) ₹143 (b) ₹910 (c) ₹130 (d) ₹94
33. 33.Every pair follows the same rule: 5 : 23, 6 : 34, 8 : 62. What is 9 : ? (a) 76 (b) 79 (c) 27 (d) 80
34. 34.Every pair follows the same rule: 3 : 11, 4 : 14, 6 : 20. What is 7 : ? (a) 15 (b) 23 (c) 22 (d) 24
35. 35.₹6000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹900 (b) ₹7200 (c) ₹6300 (d) ₹6900
36. 36.₹468 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹36 (b) ₹180 (c) ₹234 (d) ₹288
37. 37.6.64 + 7.6 = ? (a) 14.24 (b) 14.34 (c) 7.4 (d) 14.14
38. 38.A shopkeeper buys a toy for ₹140 and sells it for ₹105. What is his loss percent? (a) 35% (b) 20% (c) 25% (d) 30%
39. 39.What is the average of all the whole numbers from 8 to 40? (a) 25 (b) 32 (c) 24 (d) 16
40. 40.9.96 + 3.3 = ? (a) 13.16 (b) 10.29 (c) 13.36 (d) 13.26

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