Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 432 · 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 is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 18 sq cm (d) 77 sq cm
2. 2.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 34 (c) 64 (d) 36
3. 3.If 5 notebooks cost ₹85, how much do 10 notebooks cost? (a) ₹90 (b) ₹850 (c) ₹187 (d) ₹170
4. 4.If 11 September is a Wednesday, what day of the week is 18 October? (a) Sunday (b) Friday (c) Thursday (d) Saturday
5. 5.3/4 + 3/6 = ? (a) 3/5 (b) 7/6 (c) 4/3 (d) 5/4
6. 6.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
7. 7.Which fraction is greater: 7/9 or 4/5? (a) 7/9 (b) They are equal (c) 4/5
8. 8.Which of these numbers is divisible by 4? (a) 831 (b) 824 (c) 823 (d) 827
9. 9.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
10. 10.Every pair follows the same rule: 3 : 20, 7 : 24, 8 : 25. What is 6 : ? (a) 23 (b) 22 (c) 24 (d) 25
11. 11.What is the average of 85, 88, 66, 64 and 87? (a) 79 (b) 78 (c) 77 (d) 80
12. 12.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
13. 13.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 126 (c) 42 (d) 84
14. 14.Which is the smallest: 0.25, 0.2, 0.094, 0.144? (a) 0.25 (b) 0.2 (c) 0.094 (d) 0.144
15. 15.If 5 March is a Sunday, what day of the week is 15 March? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
16. 16.If 22 July is a Monday, what day of the week is 4 August? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
17. 17.Today is Sunday. What day of the week will it be after 84 days? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
18. 18.What is the smallest number you must add to 517 to make it divisible by 12? (a) 1 (b) 9 (c) 11 (d) 10
19. 19.If 7 pens cost ₹84, how much do 4 pens cost? (a) ₹336 (b) ₹60 (c) ₹48 (d) ₹81
20. 20.8.85 + 2.3 = ? (a) 11.15 (b) 9.08 (c) 11.25 (d) 11.05
21. 21.In how many years will ₹10000 earn ₹2700 simple interest at 9% per year? (a) 3 years (b) 2 years (c) 4 years (d) 6 years
22. 22.What is the value of the digit 4 in 47.612? (a) 4 (b) 0.04 (c) 40 (d) 0.4
23. 23.What is 8/9 of 36? (a) 36 (b) 4 (c) 33 (d) 32
24. 24.1.77 + 8.7 = ? (a) 10.57 (b) 10.37 (c) 10.47 (d) 2.64
25. 25.If 2 March is a Monday, what day of the week is 16 March? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
26. 26.Which of these numbers is divisible by 4? (a) 1203 (b) 1197 (c) 1193 (d) 1196
27. 27.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 105 cm
28. 28.What is the average of all the whole numbers from 22 to 28? (a) 25 (b) 3 (c) 26 (d) 6
29. 29.If 5 January is a Thursday, what day of the week is 20 January? (a) Thursday (b) Sunday (c) Saturday (d) Friday
30. 30.A teacher has 33 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 33 (c) 22 (d) 1
31. 31.What is 1/2 of 14? (a) 8 (b) 14 (c) 7 (d) 6
32. 32.What is the simple interest on ₹4000 at 10% per year for 5 years? (a) ₹6000 (b) ₹2000 (c) ₹400 (d) ₹2400
33. 33.Two ribbons are 35 cm and 45 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) 10 cm (c) 5 cm (d) 35 cm
34. 34.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 12 days (c) 13 days (d) 7 days
35. 35.Today is Saturday. What day of the week will it be after 71 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
36. 36.Which fraction is greater: 1/4 or 8/9? (a) 1/4 (b) They are equal (c) 8/9
37. 37.What is the simple interest on ₹3500 at 9% per year for 5 years? (a) ₹5075 (b) ₹1890 (c) ₹315 (d) ₹1575
38. 38.₹2500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹3000 (b) ₹2900 (c) ₹400 (d) ₹2600
39. 39.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 55 (b) 43 (c) 41 (d) 16
40. 40.A teacher has 33 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 55 (b) 33 (c) 1 (d) 11

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