Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 421 · 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.Which of these numbers is divisible by 4? (a) 2592 (b) 2593 (c) 2590 (d) 2597
2. 2.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 480 min (b) 120 min (c) 44 min (d) 4 min
3. 3.What is the value of the digit 1 in 98.271? (a) 0.01 (b) 1 (c) 0.1 (d) 0.001
4. 4.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
5. 5.Two ribbons are 9 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) 15 cm (b) 9 cm (c) 1 cm (d) 3 cm
6. 6.If 31 January is a Saturday, what day of the week is 7 February? (a) Monday (b) Sunday (c) Saturday (d) Friday
7. 7.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 15% (b) 10% (c) 84% (d) 5%
8. 8.6 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 5 days (b) 10 days (c) 7 days (d) 6 days
9. 9.Which of these numbers is divisible by 3? (a) 1822 (b) 1818 (c) 1817 (d) 1819
10. 10.What is the average of all the whole numbers from 55 to 85? (a) 30 (b) 71 (c) 70 (d) 15
11. 11.What is 40% of 840? (a) 672 (b) 504 (c) 336 (d) 3360
12. 12.₹99 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹11 (b) ₹44 (c) ₹66 (d) ₹55
13. 13.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 98 (b) 50 (c) 8 (d) 56
14. 14.Which fraction is greater: 3/4 or 1/3? (a) 1/3 (b) They are equal (c) 3/4
15. 15.What is 40% of 860? (a) 516 (b) 344 (c) 688 (d) 3440
16. 16.What is the remainder when 567 is divided by 8? (a) 5 (b) 6 (c) 7 (d) 1
17. 17.If 6 notebooks cost ₹66, how much do 8 notebooks cost? (a) ₹99 (b) ₹88 (c) ₹528 (d) ₹68
18. 18.What is the value of the digit 9 in 65.197? (a) 9 (b) 0.009 (c) 0.09 (d) 0.9
19. 19.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 39 (b) 14 (c) 51 (d) 76
20. 20.What is 60% of 580? (a) 696 (b) 348 (c) 3480 (d) 232
21. 21.Which of these numbers is divisible by 6? (a) 4877 (b) 4867 (c) 4866 (d) 4864
22. 22.If 5x + 13 = 23, what is x? (a) 1 (b) 10 (c) 3 (d) 2
23. 23.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 25 cm (c) 50 cm (d) 42 cm
24. 24.If 4 kites cost ₹92, how much do 10 kites cost? (a) ₹230 (b) ₹98 (c) ₹920 (d) ₹253
25. 25.What is the smallest number you must add to 83 to make it divisible by 7? (a) 3 (b) 2 (c) 1 (d) 6
26. 26.Every pair follows the same rule: 3 : 18, 8 : 23, 9 : 24. What is 6 : ? (a) 36 (b) 22 (c) 20 (d) 21
27. 27.If 3x + 1 = x + 7, what is x? (a) 2 (b) 3 (c) 4 (d) 5
28. 28.What is 40% of 740? (a) 2960 (b) 444 (c) 592 (d) 296
29. 29.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 126 sq cm (c) 44 sq cm (d) 112 sq cm
30. 30.If x/6 + 1 = 7, what is x? (a) 48 (b) 36 (c) 6 (d) 41
31. 31.Today is Sunday. What day of the week will it be after 15 days? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
32. 32.Every pair follows the same rule: 2 : 14, 5 : 29, 8 : 44. What is 4 : ? (a) 25 (b) 16 (c) 28 (d) 24
33. 33.What is the average of all the whole numbers from 12 to 34? (a) 11 (b) 24 (c) 22 (d) 23
34. 34.8 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 2 days (d) 12 days
35. 35.If 8x + 8 = 64, what is x? (a) 9 (b) 56 (c) 7 (d) 8
36. 36.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
37. 37.What is the simple interest on ₹4500 at 6% per year for 5 years? (a) ₹5850 (b) ₹1350 (c) ₹1620 (d) ₹270
38. 38.If 8 kites cost ₹144, how much do 9 kites cost? (a) ₹162 (b) ₹180 (c) ₹145 (d) ₹1296
39. 39.Every pair follows the same rule: 4 : 14, 6 : 16, 7 : 17. What is 5 : ? (a) 16 (b) 17 (c) 15 (d) 14
40. 40.What is the value of the digit 7 in 15.637? (a) 0.07 (b) 7 (c) 0.007 (d) 0.7

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