Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 345 · 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. 1.2/9 + 2/3 = ? (a) 7/9 (b) 1 (c) 1/3 (d) 8/9
2. 2.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 1 : ? (a) 4 (b) 2 (c) 1 (d) 7
3. 3.6/9 + 1/2 = ? (a) 7/11 (b) 10/9 (c) 11/9 (d) 7/6
4. 4.₹154 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹11 (b) ₹99 (c) ₹77 (d) ₹55
5. 5.Which of these numbers is divisible by 8? (a) 4072 (b) 4085 (c) 4078 (d) 4066
6. 6.A bag marked ₹420 is sold at a 50% discount. What is its selling price? (a) ₹211 (b) ₹210 (c) ₹630 (d) ₹370
7. 7.A shopkeeper buys a toy for ₹340 and sells it for ₹408. What is his profit percent? (a) 68% (b) 25% (c) 15% (d) 20%
8. 8.Today is Monday. What day of the week will it be after 85 days? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
9. 9.₹5000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹600 (b) ₹5600 (c) ₹5200 (d) ₹5800
10. 10.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
11. 11.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 28 days (b) 11 days (c) 27 days (d) 19 days
12. 12.₹168 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹60 (b) ₹108 (c) ₹12 (d) ₹84
13. 13.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 6 days (d) 15 days
14. 14.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 12 days (b) 8 days (c) 14 days (d) 15 days
15. 15.Which is the smallest: 0.22, 0.2, 0.015, 0.136? (a) 0.22 (b) 0.2 (c) 0.015 (d) 0.136
16. 16.Which fraction is greater: 3/5 or 3/4? (a) 3/4 (b) They are equal (c) 3/5
17. 17.If 6x + 11 = x + 21, what is x? (a) 2 (b) 1 (c) 3 (d) 4
18. 18.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 42 cm (c) 21 cm (d) 80 cm
19. 19.Which fraction is greater: 4/11 or 4/5? (a) 4/11 (b) They are equal (c) 4/5
20. 20.₹1500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹1725 (b) ₹1545 (c) ₹1680 (d) ₹180
21. 21.If x/2 + 15 = 25, what is x? (a) 35 (b) 10 (c) 20 (d) 80
22. 22.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 90 sq cm (c) 40 sq cm (d) 20 sq cm
23. 23.A shopkeeper buys a toy for ₹100 and sells it for ₹60. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
24. 24.What is the simple interest on ₹3000 at 11% per year for 3 years? (a) ₹330 (b) ₹3990 (c) ₹990 (d) ₹1320
25. 25.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 20 (b) 19 (c) 43 (d) 90
26. 26.Every pair follows the same rule: 3 : 16, 8 : 21, 9 : 22. What is 6 : ? (a) 21 (b) 19 (c) 18 (d) 20
27. 27.Which of these numbers is divisible by 11? (a) 6530 (b) 6543 (c) 6523 (d) 6514
28. 28.The simple interest on ₹1000 for 5 years is ₹600. What is the rate per year? (a) 11% (b) 13% (c) 12% (d) 60%
29. 29.If 4x + 10 = x + 25, what is x? (a) 3 (b) 6 (c) 7 (d) 5
30. 30.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
31. 31.A shopkeeper buys a toy for ₹740 and sells it for ₹555. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
32. 32.What is the value of the digit 8 in 82.461? (a) 0.08 (b) 8 (c) 80 (d) 0.8
33. 33.5/6 + 3/9 = ? (a) 7/6 (b) 11/9 (c) 8/15 (d) 10/9
34. 34.Every pair follows the same rule: 4 : 17, 5 : 26, 6 : 37. What is 2 : ? (a) 6 (b) 15 (c) 4 (d) 5
35. 35.Which is the smallest: 0.6, 0.089, 0.582, 0.62? (a) 0.6 (b) 0.089 (c) 0.582 (d) 0.62
36. 36.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 72 cm (c) 14 cm (d) 8 cm
37. 37.If x/6 + 7 = 12, what is x? (a) 114 (b) 5 (c) 30 (d) 65
38. 38.The simple interest on ₹9500 for 4 years is ₹1900. What is the rate per year? (a) 6% (b) 4% (c) 5% (d) 20%
39. 39.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 104 cm (d) 18 cm
40. 40.Which is the greatest: 0.421, 0.014, 0.55, 0.5? (a) 0.421 (b) 0.014 (c) 0.55 (d) 0.5

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