Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 324 · 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 19 July is a Sunday, what day of the week is 6 August? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
2. 2.If 11 October is a Friday, what day of the week is 27 October? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
3. 3.If 6 mangoes cost ₹132, how much do 3 mangoes cost? (a) ₹129 (b) ₹396 (c) ₹66 (d) ₹88
4. 4.A shopkeeper buys a toy for ₹780 and sells it for ₹585. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
5. 5.Which is the smallest: 0.7, 0.72, 0.625, 0.083? (a) 0.7 (b) 0.72 (c) 0.625 (d) 0.083
6. 6.What is the remainder when 170 is divided by 7? (a) 5 (b) 3 (c) 1 (d) 2
7. 7.Which is the smallest: 0.475, 0.093, 0.5, 0.58? (a) 0.475 (b) 0.093 (c) 0.5 (d) 0.58
8. 8.Two ribbons are 48 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 6 cm (c) 48 cm (d) 36 cm
9. 9.A bag marked ₹360 is sold at a 15% discount. What is its selling price? (a) ₹414 (b) ₹54 (c) ₹345 (d) ₹306
10. 10.Today is Friday. What day of the week will it be after 67 days? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
11. 11.Two ribbons are 70 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 70 cm (b) 560 cm (c) 10 cm (d) 5 cm
12. 12.If 3 kites cost ₹48, how much do 4 kites cost? (a) ₹49 (b) ₹64 (c) ₹192 (d) ₹80
13. 13.If 8x + 19 = 139, what is x? (a) 120 (b) 15 (c) 14 (d) 16
14. 14.Which of these numbers is divisible by 6? (a) 3757 (b) 3762 (c) 3772 (d) 3764
15. 15.What is the simple interest on ₹5000 at 3% per year for 4 years? (a) ₹600 (b) ₹750 (c) ₹5600 (d) ₹150
16. 16.What is the remainder when 152 is divided by 9? (a) 1 (b) 8 (c) 6 (d) 7
17. 17.Today is Tuesday. What day of the week will it be after 91 days? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
18. 18.Every pair follows the same rule: 3 : 18, 8 : 73, 9 : 90. What is 2 : ? (a) 12 (b) 17 (c) 13 (d) 14
19. 19.₹408 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹34 (b) ₹170 (c) ₹238 (d) ₹204
20. 20.Which of these numbers is divisible by 8? (a) 4933 (b) 4926 (c) 4916 (d) 4920
21. 21.Every pair follows the same rule: 5 : 19, 6 : 22, 7 : 25. What is 2 : ? (a) 16 (b) 10 (c) 11 (d) 9
22. 22.A bag marked ₹1480 is sold at a 20% discount. What is its selling price? (a) ₹1184 (b) ₹1460 (c) ₹296 (d) ₹1776
23. 23.Which fraction is greater: 1/11 or 1/6? (a) They are equal (b) 1/6 (c) 1/11
24. 24.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 8 (b) 19 (c) 42 (d) 7
25. 25.Every pair follows the same rule: 2 : 2, 3 : 7, 9 : 79. What is 4 : ? (a) 14 (b) 19 (c) 4 (d) 15
26. 26.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 10 days (d) 5 days
27. 27.Which fraction is greater: 3/4 or 3/7? (a) They are equal (b) 3/4 (c) 3/7
28. 28.What is the average of 72, 80, 62, 72, 85 and 85? (a) 77 (b) 78 (c) 76 (d) 75
29. 29.Which fraction is greater: 3/4 or 6/7? (a) 6/7 (b) They are equal (c) 3/4
30. 30.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 102 (b) 22 (c) 21 (d) 49
31. 31.If x/5 + 6 = 16, what is x? (a) 10 (b) 50 (c) 74 (d) 110
32. 32.Every pair follows the same rule: 2 : 4, 6 : 12, 7 : 14. What is 8 : ? (a) 17 (b) 16 (c) 15 (d) 10
33. 33.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
34. 34.₹70 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹35 (b) ₹49 (c) ₹21 (d) ₹7
35. 35.2/3 + 1/7 = ? (a) 16/21 (b) 3/10 (c) 17/21 (d) 6/7
36. 36.If 10 May is a Friday, what day of the week is 19 May? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
37. 37.Today is Sunday. What day of the week will it be after 41 days? (a) Friday (b) Sunday (c) Monday (d) Saturday
38. 38.Which of these numbers is divisible by 8? (a) 1824 (b) 1828 (c) 1818 (d) 1833
39. 39.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 80 cm
40. 40.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 10 cm (c) 9 cm (d) 18 cm

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad