Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 754 · 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 simple interest on ₹5500 at 7% per year for 3 years? (a) ₹385 (b) ₹1155 (c) ₹6655 (d) ₹1540
2. 2.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) 1 cm (b) 10 cm (c) 60 cm (d) 2 cm
3. 3.If 7x + 8 = x + 62, what is x? (a) 9 (b) 11 (c) 8 (d) 10
4. 4.What is the units digit of 7^53? (a) 1 (b) 3 (c) 9 (d) 7
5. 5.What is the average of all the whole numbers from 43 to 59? (a) 8 (b) 16 (c) 51 (d) 52
6. 6.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
7. 7.If x/4 + 7 = 16, what is x? (a) 9 (b) 57 (c) 36 (d) 92
8. 8.If 13 March is a Saturday, what day of the week is 9 April? (a) Saturday (b) Friday (c) Sunday (d) Thursday
9. 9.What is the units digit of 3^27? (a) 3 (b) 1 (c) 9 (d) 7
10. 10.If 6 notebooks cost ₹54, how much do 10 notebooks cost? (a) ₹540 (b) ₹99 (c) ₹90 (d) ₹58
11. 11.Today is Sunday. What day of the week will it be after 36 days? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
12. 12.What is the units digit of 3^30? (a) 7 (b) 9 (c) 3 (d) 1
13. 13.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 5 days (d) 17 days
14. 14.In how many years will ₹5500 earn ₹1320 simple interest at 8% per year? (a) 4 years (b) 3 years (c) 6 years (d) 2 years
15. 15.Every pair follows the same rule: 2 : 13, 6 : 33, 8 : 43. What is 3 : ? (a) 17 (b) 19 (c) 18 (d) 14
16. 16.What is the average of 52, 55, 55, 75 and 73? (a) 61 (b) 63 (c) 64 (d) 62
17. 17.What is 1/2 of 16? (a) 7 (b) 16 (c) 8 (d) 9
18. 18.1/2 + 1/2 = ? (a) 3/2 (b) 1/2 (c) 2 (d) 1
19. 19.Two ribbons are 33 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 22 cm (c) 33 cm (d) 1 cm
20. 20.₹2500 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹3400 (b) ₹2650 (c) ₹3250 (d) ₹750
21. 21.What is the average of all the whole numbers from 57 to 85? (a) 14 (b) 71 (c) 72 (d) 28
22. 22.Two ribbons are 20 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 20 cm (c) 4 cm (d) 2 cm
23. 23.3/7 + 1/4 = ? (a) 5/7 (b) 9/14 (c) 19/28 (d) 4/11
24. 24.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
25. 25.In how many years will ₹1500 earn ₹60 simple interest at 2% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
26. 26.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
27. 27.₹48 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹24 (b) ₹16 (c) ₹48 (d) ₹32
28. 28.₹1500 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹1815 (b) ₹1920 (c) ₹1605 (d) ₹315
29. 29.₹68 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹17 (b) ₹68 (c) ₹51 (d) ₹34
30. 30.If 3x + 9 = 36, what is x? (a) 9 (b) 10 (c) 15 (d) 27
31. 31.If 8 pens cost ₹160, how much do 10 pens cost? (a) ₹162 (b) ₹1600 (c) ₹220 (d) ₹200
32. 32.Every pair follows the same rule: 5 : 29, 7 : 53, 9 : 85. What is 2 : ? (a) 9 (b) 26 (c) 8 (d) 7
33. 33.If 2x + 8 = 28, what is x? (a) 10 (b) 11 (c) 18 (d) 20
34. 34.What is the remainder when 667 is divided by 9? (a) 2 (b) 0 (c) 1 (d) 8
35. 35.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 42 sq cm (d) 28 sq cm
36. 36.If 13 July is a Tuesday, what day of the week is 16 August? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
37. 37.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 24 (b) 13 (c) 10 (d) 12
38. 38.If 27 September is a Thursday, what day of the week is 3 October? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
39. 39.Which fraction is greater: 3/11 or 4/9? (a) 4/9 (b) 3/11 (c) They are equal
40. 40.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 18 sq cm (d) 77 sq cm

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