Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 796 · 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 rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 3 cm (d) 2 cm
2. 2.What is the units digit of 2^48? (a) 4 (b) 2 (c) 8 (d) 6
3. 3.3.54 + 6.1 = ? (a) 9.74 (b) 9.54 (c) 4.15 (d) 9.64
4. 4.9.22 + 7.6 = ? (a) 16.82 (b) 9.98 (c) 16.72 (d) 16.92
5. 5.If 4 May is a Wednesday, what day of the week is 16 May? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
6. 6.A bag marked ₹400 is sold at a 50% discount. What is its selling price? (a) ₹201 (b) ₹350 (c) ₹200 (d) ₹600
7. 7.₹273 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹21 (b) ₹105 (c) ₹189 (d) ₹168
8. 8.Two ribbons are 14 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 1 cm (c) 7 cm (d) 49 cm
9. 9.Every pair follows the same rule: 2 : 5, 3 : 10, 8 : 65. What is 9 : ? (a) 76 (b) 82 (c) 12 (d) 83
10. 10.Which fraction is greater: 1/4 or 2/3? (a) 1/4 (b) 2/3 (c) They are equal
11. 11.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 126 sq cm (d) 44 sq cm
12. 12.3.07 + 5.7 = ? (a) 3.64 (b) 8.87 (c) 8.77 (d) 8.67
13. 13.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 12 min (c) 24 min (d) 10 min
14. 14.What is the units digit of 4^48? (a) 5 (b) 4 (c) 7 (d) 6
15. 15.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
16. 16.Which fraction is greater: 1/8 or 6/7? (a) 1/8 (b) They are equal (c) 6/7
17. 17.What is the value of the digit 2 in 24.673? (a) 20 (b) 0.02 (c) 2 (d) 0.2
18. 18.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 20 sq cm (d) 10 sq cm
19. 19.1/3 + 4/8 = ? (a) 7/8 (b) 5/6 (c) 5/11 (d) 19/24
20. 20.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 20 sq cm (d) 24 sq cm
21. 21.What is the simple interest on ₹3000 at 9% per year for 4 years? (a) ₹4080 (b) ₹1350 (c) ₹270 (d) ₹1080
22. 22.A teacher has 6 pencils and 8 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 6 (c) 2 (d) 1
23. 23.₹185 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹111 (b) ₹74 (c) ₹148 (d) ₹37
24. 24.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 102 sq cm (b) 23 sq cm (c) 46 sq cm (d) 119 sq cm
25. 25.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 20 (b) 14 (c) 40 (d) 21
26. 26.What is 4/5 of 55? (a) 11 (b) 55 (c) 45 (d) 44
27. 27.Today is Tuesday. What day of the week will it be after 100 days? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 25 (b) 24 (c) 14 (d) 48
29. 29.A teacher has 6 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 2 (c) 6 (d) 1
30. 30.The simple interest on ₹7500 for 3 years is ₹1800. What is the rate per year? (a) 9% (b) 7% (c) 24% (d) 8%
31. 31.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 2 : ? (a) 9 (b) 26 (c) 8 (d) 18
32. 32.What is the units digit of 3^10? (a) 1 (b) 7 (c) 9 (d) 3
33. 33.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 49 (c) 21 (d) 34
34. 34.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 36 (b) 66 (c) 38 (d) 34
35. 35.₹4500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹540 (b) ₹4635 (c) ₹5040 (d) ₹5175
36. 36.Which fraction is greater: 2/3 or 6/7? (a) They are equal (b) 2/3 (c) 6/7
37. 37.Which is the greatest: 0.5, 0.419, 0.054, 0.51? (a) 0.5 (b) 0.419 (c) 0.054 (d) 0.51
38. 38.Which is the greatest: 0.24, 0.042, 0.121, 0.2? (a) 0.24 (b) 0.042 (c) 0.121 (d) 0.2
39. 39.Every pair follows the same rule: 2 : 16, 7 : 56, 9 : 72. What is 8 : ? (a) 63 (b) 22 (c) 64 (d) 65
40. 40.If 12 December is a Tuesday, what day of the week is 28 December? (a) Thursday (b) Friday (c) Wednesday (d) Saturday

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