Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 359 · 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 x/5 + 10 = 14, what is x? (a) 120 (b) 20 (c) 60 (d) 4
2. 2.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
3. 3.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 110 sq cm (d) 21 sq cm
4. 4.If 13 June is a Friday, what day of the week is 7 July? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
5. 5.Which fraction is greater: 3/4 or 6/11? (a) They are equal (b) 3/4 (c) 6/11
6. 6.What is the average of all the whole numbers from 20 to 44? (a) 33 (b) 24 (c) 32 (d) 12
7. 7.Two ribbons are 9 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 9 cm (d) 1 cm
8. 8.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 72 cm (d) 17 cm
9. 9.What is the units digit of 3^22? (a) 9 (b) 7 (c) 3 (d) 1
10. 10.Every pair follows the same rule: 6 : 12, 8 : 16, 9 : 18. What is 2 : ? (a) 4 (b) 8 (c) 3 (d) 5
11. 11.Every pair follows the same rule: 3 : 21, 5 : 31, 7 : 41. What is 8 : ? (a) 56 (b) 26 (c) 47 (d) 46
12. 12.Every pair follows the same rule: 6 : 17, 7 : 21, 8 : 25. What is 4 : ? (a) 15 (b) 10 (c) 8 (d) 9
13. 13.If 7x − 24 = 18, what is x? (a) 7 (b) 5 (c) 6 (d) 42
14. 14.Which fraction is greater: 2/7 or 3/5? (a) They are equal (b) 2/7 (c) 3/5
15. 15.What is the units digit of 7^54? (a) 7 (b) 3 (c) 9 (d) 1
16. 16.What is the remainder when 524 is divided by 12? (a) 9 (b) 8 (c) 7 (d) 4
17. 17.A bag marked ₹340 is sold at a 15% discount. What is its selling price? (a) ₹391 (b) ₹289 (c) ₹325 (d) ₹51
18. 18.8.96 + 8.8 = ? (a) 17.76 (b) 9.84 (c) 17.86 (d) 17.66
19. 19.What is the remainder when 434 is divided by 9? (a) 2 (b) 7 (c) 3 (d) 1
20. 20.Which of these numbers is divisible by 11? (a) 7206 (b) 7200 (c) 7194 (d) 7191
21. 21.In how many years will ₹1500 earn ₹600 simple interest at 10% per year? (a) 5 years (b) 4 years (c) 3 years (d) 8 years
22. 22.Today is Wednesday. What day of the week will it be after 27 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
23. 23.What is the average of all the whole numbers from 46 to 62? (a) 16 (b) 55 (c) 8 (d) 54
24. 24.If 14 April is a Saturday, what day of the week is 18 May? (a) Thursday (b) Saturday (c) Sunday (d) Friday
25. 25.What is 40% of 220? (a) 880 (b) 176 (c) 132 (d) 88
26. 26.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 15 cm (d) 25 cm
27. 27.Every pair follows the same rule: 2 : 3, 3 : 8, 9 : 80. What is 5 : ? (a) 32 (b) 6 (c) 25 (d) 24
28. 28.If 16 April is a Friday, what day of the week is 16 May? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
29. 29.If 11 August is a Tuesday, what day of the week is 21 August? (a) Sunday (b) Saturday (c) Thursday (d) Friday
30. 30.A shopkeeper buys a toy for ₹440 and sells it for ₹374. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 66%
31. 31.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
32. 32.If 1 March is a Wednesday, what day of the week is 15 March? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
33. 33.What is 4/9 of 45? (a) 21 (b) 20 (c) 5 (d) 25
34. 34.If 10 October is a Tuesday, what day of the week is 7 November? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
35. 35.Every pair follows the same rule: 3 : 20, 6 : 23, 9 : 26. What is 7 : ? (a) 26 (b) 23 (c) 25 (d) 24
36. 36.Which is the smallest: 0.28, 0.2, 0.143, 0.085? (a) 0.28 (b) 0.2 (c) 0.143 (d) 0.085
37. 37.If 5 January is a Friday, what day of the week is 13 January? (a) Sunday (b) Monday (c) Saturday (d) Friday
38. 38.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 66 (c) 115 (d) 59
39. 39.Today is Monday. What day of the week will it be after 33 days? (a) Sunday (b) Saturday (c) Friday (d) Monday
40. 40.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹598 (b) ₹430 (c) ₹138 (d) ₹322

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