Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 880 · 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.A teacher has 15 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 1 (c) 10 (d) 15
2. 2.If 6 notebooks cost ₹48, how much do 4 notebooks cost? (a) ₹46 (b) ₹40 (c) ₹32 (d) ₹192
3. 3.What is the value of the digit 4 in 49.263? (a) 40 (b) 0.04 (c) 4 (d) 0.4
4. 4.What is the average of all the whole numbers from 26 to 42? (a) 35 (b) 16 (c) 8 (d) 34
5. 5.Which fraction is greater: 2/5 or 5/6? (a) They are equal (b) 2/5 (c) 5/6
6. 6.The simple interest on ₹3000 for 5 years is ₹1800. What is the rate per year? (a) 13% (b) 11% (c) 60% (d) 12%
7. 7.Every pair follows the same rule: 4 : 36, 5 : 45, 7 : 63. What is 9 : ? (a) 41 (b) 81 (c) 82 (d) 80
8. 8.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 9 sq cm (d) 14 sq cm
9. 9.Two ribbons are 15 cm and 20 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) 15 cm (c) 60 cm (d) 5 cm
10. 10.What is the units digit of 7^32? (a) 3 (b) 1 (c) 9 (d) 7
11. 11.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 8 (b) 46 (c) 39 (d) 77
12. 12.What is the units digit of 9^33? (a) 1 (b) 8 (c) 7 (d) 9
13. 13.Which is the smallest: 0.744, 0.8, 0.078, 0.83? (a) 0.744 (b) 0.8 (c) 0.078 (d) 0.83
14. 14.What is 1/4 of 44? (a) 22 (b) 12 (c) 11 (d) 33
15. 15.Every pair follows the same rule: 2 : 17, 3 : 22, 4 : 27. What is 7 : ? (a) 43 (b) 41 (c) 22 (d) 42
16. 16.Which of these numbers is divisible by 9? (a) 4015 (b) 4000 (c) 4005 (d) 4006
17. 17.What is 75% of 300? (a) 75 (b) 225 (c) 450 (d) 2250
18. 18.If 3x + 6 = 2x + 14, what is x? (a) 20 (b) 10 (c) 9 (d) 8
19. 19.What is 1/2 of 4? (a) 1 (b) 2 (c) 3 (d) 4
20. 20.What is 50% of 980? (a) 491 (b) 980 (c) 4900 (d) 490
21. 21.What is the smallest number you must add to 591 to make it divisible by 9? (a) 4 (b) 2 (c) 6 (d) 3
22. 22.If 20 September is a Friday, what day of the week is 8 October? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
23. 23.Every pair follows the same rule: 2 : 2, 6 : 10, 7 : 12. What is 8 : ? (a) 15 (b) 13 (c) 8 (d) 14
24. 24.What is the value of the digit 6 in 45.617? (a) 0.006 (b) 0.6 (c) 6 (d) 0.06
25. 25.2/7 + 1/2 = ? (a) 5/7 (b) 6/7 (c) 11/14 (d) 1/3
26. 26.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 6 cm (c) 68 cm (d) 5 cm
27. 27.If 12 January is a Tuesday, what day of the week is 27 January? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
28. 28.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 1 day (b) 12 days (c) 11 days (d) 3 days
29. 29.If 4x + 13 = 2x + 21, what is x? (a) 17 (b) 6 (c) 4 (d) 5
30. 30.What is the average of 21, 33, 11 and 31? (a) 24 (b) 23 (c) 25 (d) 32
31. 31.What is the simple interest on ₹2000 at 10% per year for 4 years? (a) ₹200 (b) ₹800 (c) ₹1000 (d) ₹2800
32. 32.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
33. 33.What is the average of all the whole numbers from 57 to 75? (a) 9 (b) 18 (c) 67 (d) 66
34. 34.If 6 notebooks cost ₹24, how much do 7 notebooks cost? (a) ₹32 (b) ₹168 (c) ₹28 (d) ₹25
35. 35.Which fraction is greater: 1/3 or 3/4? (a) 3/4 (b) 1/3 (c) They are equal
36. 36.Which of these numbers is divisible by 4? (a) 717 (b) 713 (c) 723 (d) 716
37. 37.Every pair follows the same rule: 4 : 15, 6 : 17, 9 : 20. What is 8 : ? (a) 20 (b) 18 (c) 19 (d) 21
38. 38.If 14 January is a Monday, what day of the week is 14 February? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
39. 39.What is the simple interest on ₹5500 at 2% per year for 3 years? (a) ₹440 (b) ₹5830 (c) ₹330 (d) ₹110
40. 40.Every pair follows the same rule: 5 : 25, 7 : 49, 9 : 81. What is 4 : ? (a) 1 (b) 24 (c) 20 (d) 16

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