Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 434 · 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 smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 40 (b) 84 (c) 168 (d) 336
2. 2.What is the smallest number you must add to 119 to make it divisible by 4? (a) 3 (b) 2 (c) 1
3. 3.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 89 (b) 45 (c) 49 (d) 5
4. 4.Every pair follows the same rule: 3 : 9, 8 : 64, 9 : 81. What is 5 : ? (a) 11 (b) 25 (c) 15 (d) 13
5. 5.₹5000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹5350 (b) ₹6050 (c) ₹5700 (d) ₹700
6. 6.Which of these numbers is divisible by 11? (a) 3094 (b) 3112 (c) 3081 (d) 3091
7. 7.Every pair follows the same rule: 2 : 1, 3 : 6, 9 : 78. What is 6 : ? (a) 34 (b) 42 (c) 33 (d) 32
8. 8.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 54 (b) 504 (c) 168 (d) 84
9. 9.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 525 (b) 105 (c) 210 (d) 50
10. 10.What is the simple interest on ₹5500 at 3% per year for 4 years? (a) ₹825 (b) ₹6160 (c) ₹660 (d) ₹165
11. 11.Every pair follows the same rule: 4 : 17, 5 : 26, 8 : 65. What is 9 : ? (a) 78 (b) 22 (c) 82 (d) 83
12. 12.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 90 sq cm (c) 18 sq cm (d) 80 sq cm
13. 13.Two ribbons are 15 cm and 24 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) 15 cm (d) 1 cm
14. 14.6/8 + 2/4 = ? (a) 11/8 (b) 2/3 (c) 9/8 (d) 5/4
15. 15.Which is the smallest: 0.6, 0.529, 0.65, 0.081? (a) 0.6 (b) 0.529 (c) 0.65 (d) 0.081
16. 16.If 8 notebooks cost ₹64, how much do 3 notebooks cost? (a) ₹59 (b) ₹192 (c) ₹32 (d) ₹24
17. 17.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
18. 18.Every pair follows the same rule: 3 : 10, 6 : 37, 9 : 82. What is 2 : ? (a) 9 (b) 5 (c) 4 (d) 6
19. 19.The simple interest on ₹4000 for 2 years is ₹480. What is the rate per year? (a) 5% (b) 12% (c) 6% (d) 7%
20. 20.What is 2/5 of 50? (a) 21 (b) 30 (c) 10 (d) 20
21. 21.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 52 sq cm (c) 26 sq cm (d) 144 sq cm
22. 22.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 9 : ? (a) 75 (b) 81 (c) 21 (d) 36
23. 23.What is 20% of 680? (a) 272 (b) 1360 (c) 544 (d) 136
24. 24.If 4 notebooks cost ₹100, how much do 8 notebooks cost? (a) ₹225 (b) ₹104 (c) ₹800 (d) ₹200
25. 25.Two ribbons are 20 cm and 25 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) 20 cm (c) 5 cm (d) 100 cm
26. 26.If 4 March is a Tuesday, what day of the week is 17 March? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
27. 27.₹1000 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹550 (b) ₹1550 (c) ₹1110 (d) ₹1660
28. 28.A teacher has 36 pencils and 60 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 24 (c) 6 (d) 36
29. 29.A shopkeeper buys a toy for ₹360 and sells it for ₹270. What is his loss percent? (a) 30% (b) 90% (c) 20% (d) 25%
30. 30.Which fraction is greater: 1/8 or 1/3? (a) They are equal (b) 1/8 (c) 1/3
31. 31.₹84 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹60 (b) ₹42 (c) ₹24 (d) ₹12
32. 32.What is the average of all the whole numbers from 5 to 19? (a) 14 (b) 7 (c) 13 (d) 12
33. 33.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
34. 34.Which is the greatest: 0.034, 0.32, 0.3, 0.267? (a) 0.034 (b) 0.32 (c) 0.3 (d) 0.267
35. 35.What is the average of all the whole numbers from 51 to 75? (a) 24 (b) 63 (c) 64 (d) 12
36. 36.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
37. 37.7.81 + 3.7 = ? (a) 11.41 (b) 8.18 (c) 11.51 (d) 11.61
38. 38.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 27 sq cm (c) 22 sq cm (d) 18 sq cm
39. 39.If 5 August is a Monday, what day of the week is 18 August? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
40. 40.1/2 + 5/9 = ? (a) 19/18 (b) 6/11 (c) 1 (d) 10/9

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