Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 781 · 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.₹63 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹7 (b) ₹14 (c) ₹49 (d) ₹56
2. 2.Which is the greatest: 0.497, 0.58, 0.5, 0.067? (a) 0.497 (b) 0.58 (c) 0.5 (d) 0.067
3. 3.What is the simple interest on ₹8000 at 5% per year for 2 years? (a) ₹800 (b) ₹400 (c) ₹1200 (d) ₹8800
4. 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
5. 5.If 1 December is a Monday, what day of the week is 14 December? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
6. 6.If 26 October is a Friday, what day of the week is 15 November? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
7. 7.If x/5 + 10 = 18, what is x? (a) 8 (b) 80 (c) 40 (d) 140
8. 8.A shopkeeper buys a toy for ₹940 and sells it for ₹1034. What is his profit percent? (a) 94% (b) 15% (c) 5% (d) 10%
9. 9.₹1000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹80 (b) ₹1120 (c) ₹1080 (d) ₹1040
10. 10.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) 12 (d) 10
11. 11.A teacher has 33 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 33 (c) 22 (d) 11
12. 12.6.96 + 9.4 = ? (a) 16.26 (b) 16.46 (c) 7.9 (d) 16.36
13. 13.What is the smallest number you must add to 112 to make it divisible by 3? (a) 2 (b) 1
14. 14.A teacher has 42 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 7 (c) 294 (d) 42
15. 15.A teacher has 10 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 8 (c) 2 (d) 10
16. 16.What is the units digit of 3^16? (a) 9 (b) 3 (c) 1 (d) 7
17. 17.₹3000 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹4050 (b) ₹840 (c) ₹3210 (d) ₹3840
18. 18.Every pair follows the same rule: 5 : 13, 6 : 16, 9 : 25. What is 7 : ? (a) 20 (b) 15 (c) 19 (d) 18
19. 19.If 3x + 2 = x + 8, what is x? (a) 5 (b) 2 (c) 3 (d) 4
20. 20.What is 1/4 of 16? (a) 5 (b) 8 (c) 12 (d) 4
21. 21.What is the smallest number you must add to 206 to make it divisible by 3? (a) 2 (b) 1
22. 22.What is the average of all the whole numbers from 47 to 69? (a) 22 (b) 59 (c) 11 (d) 58
23. 23.1/3 + 6/9 = ? (a) 7/12 (b) 8/9 (c) 1 (d) 10/9
24. 24.Which fraction is greater: 7/10 or 4/7? (a) They are equal (b) 7/10 (c) 4/7
25. 25.What is 20% of 200? (a) 400 (b) 40 (c) 80 (d) 160
26. 26.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 35 (b) 60 (c) 120 (d) 300
27. 27.1.27 + 9.1 = ? (a) 2.18 (b) 10.27 (c) 10.47 (d) 10.37
28. 28.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 21% (b) 15% (c) 20% (d) 25%
29. 29.Two ribbons are 33 cm and 44 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 132 cm (b) 11 cm (c) 33 cm (d) 1 cm
30. 30.If 5 kites cost ₹40, how much do 8 kites cost? (a) ₹64 (b) ₹72 (c) ₹43 (d) ₹320
31. 31.If 10 October is a Sunday, what day of the week is 16 November? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
32. 32.If 5x + 17 = 27, what is x? (a) 2 (b) 1 (c) 3 (d) 10
33. 33.Two ribbons are 9 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 3 cm (c) 1 cm (d) 12 cm
34. 34.₹3000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹3600 (b) ₹3150 (c) ₹450 (d) ₹3450
35. 35.What is the smallest number you must add to 448 to make it divisible by 11? (a) 3 (b) 8 (c) 2 (d) 4
36. 36.What is 40% of 200? (a) 160 (b) 80 (c) 120 (d) 800
37. 37.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 7 cm (c) 8 cm (d) 14 cm
38. 38.A shopkeeper buys a toy for ₹820 and sells it for ₹492. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
39. 39.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 16 cm (d) 8 cm
40. 40.What is the simple interest on ₹9000 at 4% per year for 5 years? (a) ₹2160 (b) ₹360 (c) ₹10800 (d) ₹1800

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