Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 605 · 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. 1.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 2 days (b) 1 day (c) 3 days (d) 11 days
2. 2.What is the value of the digit 5 in 24.586? (a) 0.05 (b) 5 (c) 0.005 (d) 0.5
3. 3.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 12 (b) 52 (c) 55 (d) 61
4. 4.3.68 + 5.2 = ? (a) 8.78 (b) 4.2 (c) 8.88 (d) 8.98
5. 5.Which fraction is greater: 1/5 or 1/10? (a) They are equal (b) 1/10 (c) 1/5
6. 6.A bag marked ₹1240 is sold at a 30% discount. What is its selling price? (a) ₹868 (b) ₹1210 (c) ₹372 (d) ₹1612
7. 7.Today is Wednesday. What day of the week will it be after 21 days? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
8. 8.A shopkeeper buys a toy for ₹720 and sells it for ₹648. What is his loss percent? (a) 15% (b) 10% (c) 72% (d) 5%
9. 9.₹6000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹6720 (b) ₹6960 (c) ₹6240 (d) ₹720
10. 10.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 55%
11. 11.If 8 notebooks cost ₹184, how much do 9 notebooks cost? (a) ₹1656 (b) ₹207 (c) ₹185 (d) ₹230
12. 12.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 30 sq cm (d) 56 sq cm
13. 13.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 2 : ? (a) 18 (b) 8 (c) 26 (d) 9
14. 14.Today is Saturday. What day of the week will it be after 92 days? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
15. 15.Which fraction is greater: 1/6 or 2/9? (a) 2/9 (b) They are equal (c) 1/6
16. 16.What is the average of all the whole numbers from 57 to 77? (a) 68 (b) 20 (c) 67 (d) 10
17. 17.What is the smallest number you must add to 284 to make it divisible by 9? (a) 3 (b) 4 (c) 5 (d) 6
18. 18.If 7 notebooks cost ₹133, how much do 10 notebooks cost? (a) ₹136 (b) ₹209 (c) ₹1330 (d) ₹190
19. 19.What is the smallest number you must add to 292 to make it divisible by 6? (a) 2 (b) 1 (c) 4 (d) 3
20. 20.Today is Wednesday. What day of the week will it be after 35 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
21. 21.What is the value of the digit 1 in 17.456? (a) 1 (b) 10 (c) 0.01 (d) 0.1
22. 22.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
23. 23.What is 2/3 of 36? (a) 12 (b) 24 (c) 25 (d) 36
24. 24.If 8x + 9 = 3x + 29, what is x? (a) 4 (b) 6 (c) 5 (d) 3
25. 25.If 9 notebooks cost ₹135, how much do 4 notebooks cost? (a) ₹75 (b) ₹130 (c) ₹540 (d) ₹60
26. 26.If 4 notebooks cost ₹52, how much do 2 notebooks cost? (a) ₹50 (b) ₹104 (c) ₹39 (d) ₹26
27. 27.What is the units digit of 2^23? (a) 6 (b) 8 (c) 4 (d) 2
28. 28.What is the units digit of 2^21? (a) 6 (b) 4 (c) 8 (d) 2
29. 29.9 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 13 days (b) 10 days (c) 9 days (d) 8 days
30. 30.A shopkeeper buys a toy for ₹440 and sells it for ₹572. What is his profit percent? (a) 30% (b) 25% (c) 35% (d) 31%
31. 31.Two ribbons are 12 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 3 cm (c) 1 cm (d) 12 cm
32. 32.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
33. 33.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 8 cm (c) 24 cm (d) 4 cm
34. 34.What is the units digit of 9^29? (a) 8 (b) 1 (c) 9 (d) 7
35. 35.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 26 sq cm (d) 45 sq cm
36. 36.Today is Sunday. What day of the week will it be after 83 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
37. 37.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 60 cm (c) 12 cm (d) 7 cm
38. 38.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 39 (b) 45 (c) 91 (d) 38
39. 39.If 9 March is a Friday, what day of the week is 22 March? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
40. 40.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 24 (c) 42 (d) 58

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