Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 771 · 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.If 5 July is a Tuesday, what day of the week is 19 July? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
2. 2.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 44 (b) 448 (c) 224 (d) 112
3. 3.₹110 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹40 (b) ₹10 (c) ₹70 (d) ₹55
4. 4.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 2 cm (c) 3 cm (d) 4 cm
5. 5.Every pair follows the same rule: 3 : 3, 5 : 7, 7 : 11. What is 9 : ? (a) 16 (b) 14 (c) 15 (d) 9
6. 6.9 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 8 days (d) 10 days
7. 7.If 9x + 5 = 131, what is x? (a) 14 (b) 15 (c) 126 (d) 13
8. 8.What is the average of all the whole numbers from 19 to 53? (a) 34 (b) 17 (c) 37 (d) 36
9. 9.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 4 cm (c) 5 cm (d) 8 cm
10. 10.6.62 + 2.9 = ? (a) 9.42 (b) 9.62 (c) 9.52 (d) 6.91
11. 11.Today is Friday. What day of the week will it be after 34 days? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
12. 12.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
13. 13.5/8 + 2/3 = ? (a) 31/24 (b) 4/3 (c) 5/4 (d) 7/11
14. 14.Every pair follows the same rule: 4 : 12, 5 : 14, 7 : 18. What is 6 : ? (a) 18 (b) 16 (c) 17 (d) 14
15. 15.If x/3 + 5 = 11, what is x? (a) 28 (b) 6 (c) 18 (d) 48
16. 16.What is the remainder when 367 is divided by 11? (a) 3 (b) 4 (c) 7 (d) 5
17. 17.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 62 (b) 32 (c) 38 (d) 46
18. 18.Today is Sunday. What day of the week will it be after 47 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
19. 19.Which is the greatest: 0.2, 0.042, 0.135, 0.29? (a) 0.2 (b) 0.042 (c) 0.135 (d) 0.29
20. 20.3.52 + 9.9 = ? (a) 4.51 (b) 13.52 (c) 13.42 (d) 13.32
21. 21.If 5x + 1 = 66, what is x? (a) 14 (b) 13 (c) 65 (d) 12
22. 22.What is 15% of 540? (a) 459 (b) 162 (c) 810 (d) 81
23. 23.What is the remainder when 890 is divided by 12? (a) 1 (b) 3 (c) 10 (d) 2
24. 24.What is the average of 10, 12, 19 and 47? (a) 21 (b) 24 (c) 23 (d) 22
25. 25.What is 15% of 120? (a) 36 (b) 102 (c) 18 (d) 180
26. 26.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 54 (b) 36 (c) 18 (d) 15
27. 27.Which is the smallest: 0.089, 0.5, 0.52, 0.471? (a) 0.089 (b) 0.5 (c) 0.52 (d) 0.471
28. 28.If x/2 + 5 = 14, what is x? (a) 18 (b) 38 (c) 23 (d) 9
29. 29.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 26 sq cm (c) 52 sq cm (d) 168 sq cm
30. 30.A bag marked ₹740 is sold at a 15% discount. What is its selling price? (a) ₹725 (b) ₹629 (c) ₹851 (d) ₹111
31. 31.Every pair follows the same rule: 3 : 16, 4 : 23, 8 : 71. What is 2 : ? (a) 15 (b) 11 (c) 10 (d) 12
32. 32.The simple interest on ₹2500 for 2 years is ₹350. What is the rate per year? (a) 6% (b) 7% (c) 8% (d) 14%
33. 33.What is the simple interest on ₹1500 at 3% per year for 3 years? (a) ₹180 (b) ₹1635 (c) ₹45 (d) ₹135
34. 34.If 13 March is a Wednesday, what day of the week is 12 April? (a) Saturday (b) Friday (c) Thursday (d) Sunday
35. 35.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 21 (b) 20 (c) 40 (d) 14
36. 36.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
37. 37.If 9x − 1 = 35, what is x? (a) 36 (b) 3 (c) 4 (d) 5
38. 38.What is 5% of 560? (a) 532 (b) 56 (c) 280 (d) 28
39. 39.₹84 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹35 (b) ₹7 (c) ₹42 (d) ₹49
40. 40.What is 75% of 360? (a) 540 (b) 2700 (c) 270 (d) 90

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