Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 979 · 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 batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 64 (c) 121 (d) 73
2. 2.5.96 + 2.7 = ? (a) 6.23 (b) 8.56 (c) 8.66 (d) 8.76
3. 3.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 9 cm (c) 10 cm (d) 18 cm
4. 4.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 24 (b) 61 (c) 49 (d) 43
5. 5.If 17 October is a Saturday, what day of the week is 13 November? (a) Thursday (b) Sunday (c) Saturday (d) Friday
6. 6.What is 4/5 of 15? (a) 3 (b) 12 (c) 15 (d) 13
7. 7.What is the remainder when 609 is divided by 10? (a) 7 (b) 9 (c) 1 (d) 8
8. 8.4/9 + 1/2 = ? (a) 5/11 (b) 8/9 (c) 1 (d) 17/18
9. 9.If 14 May is a Sunday, what day of the week is 29 May? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
10. 10.₹462 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹231 (b) ₹252 (c) ₹210 (d) ₹42
11. 11.Two ribbons are 27 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 27 cm (b) 9 cm (c) 45 cm (d) 3 cm
12. 12.What is the units digit of 3^13? (a) 1 (b) 9 (c) 7 (d) 3
13. 13.₹10000 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹11200 (b) ₹11000 (c) ₹10200 (d) ₹1000
14. 14.What is the value of the digit 7 in 92.874? (a) 0.007 (b) 0.07 (c) 7 (d) 0.7
15. 15.Two ribbons are 24 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 4 cm (c) 8 cm (d) 32 cm
16. 16.The simple interest on ₹10000 for 2 years is ₹2000. What is the rate per year? (a) 11% (b) 10% (c) 9% (d) 20%
17. 17.₹5500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹6160 (b) ₹660 (c) ₹5720 (d) ₹6380
18. 18.6 workers can build a wall in 14 days. How many days will 12 workers take, working at the same speed? (a) 28 days (b) 20 days (c) 8 days (d) 7 days
19. 19.If 14 December is a Wednesday, what day of the week is 28 December? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
20. 20.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 195 sq cm (d) 180 sq cm
21. 21.If 6x + 1 = 4x + 15, what is x? (a) 7 (b) 6 (c) 8 (d) 9
22. 22.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 130 sq cm (d) 143 sq cm
23. 23.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 47 (b) 23 (c) 20 (d) 21
24. 24.What is the units digit of 3^53? (a) 3 (b) 1 (c) 7 (d) 9
25. 25.If 15 May is a Sunday, what day of the week is 16 June? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
26. 26.₹2000 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹960 (b) ₹3200 (c) ₹2960 (d) ₹2240
27. 27.Today is Thursday. What day of the week will it be after 95 days? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
28. 28.If 7x + 5 = 4x + 38, what is x? (a) 3 (b) 13 (c) 12 (d) 11
29. 29.Today is Wednesday. What day of the week will it be after 10 days? (a) Saturday (b) Friday (c) Monday (d) Sunday
30. 30.Which fraction is greater: 7/10 or 4/7? (a) 7/10 (b) They are equal (c) 4/7
31. 31.Every pair follows the same rule: 2 : 3, 4 : 15, 8 : 63. What is 7 : ? (a) 8 (b) 48 (c) 49 (d) 51
32. 32.What is the value of the digit 4 in 29.413? (a) 0.4 (b) 0.004 (c) 4 (d) 0.04
33. 33.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 75%
34. 34.If 2 pens cost ₹6, how much do 8 pens cost? (a) ₹27 (b) ₹24 (c) ₹48 (d) ₹12
35. 35.If 7x + 10 = 2x + 20, what is x? (a) 2 (b) 6 (c) 3 (d) 4
36. 36.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) 100 cm (c) 20 cm (d) 5 cm
37. 37.If 5 mangoes cost ₹35, how much do 2 mangoes cost? (a) ₹32 (b) ₹70 (c) ₹14 (d) ₹21
38. 38.A teacher has 48 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 48 (b) 3 (c) 432 (d) 6
39. 39.Which fraction is greater: 7/12 or 5/7? (a) They are equal (b) 5/7 (c) 7/12
40. 40.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 136 cm (c) 50 cm (d) 42 cm

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