Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 2 · 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 24 April is a Monday, what day of the week is 18 May? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
2. 2.What is the simple interest on ₹8500 at 7% per year for 2 years? (a) ₹595 (b) ₹9690 (c) ₹1785 (d) ₹1190
3. 3.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
4. 4.3/5 + 2/4 = ? (a) 5/9 (b) 23/20 (c) 11/10 (d) 21/20
5. 5.What is 1/2 of 20? (a) 20 (b) 9 (c) 10 (d) 11
6. 6.Today is Thursday. What day of the week will it be after 85 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
7. 7.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 56 (b) 29 (c) 28 (d) 18
8. 8.What is the smallest number you must add to 366 to make it divisible by 7? (a) 6 (b) 2 (c) 4 (d) 5
9. 9.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) 10 cm (b) 70 cm (c) 5 cm (d) 560 cm
10. 10.If 5 January is a Tuesday, what day of the week is 19 January? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
11. 11.Two ribbons are 22 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 22 cm (b) 11 cm (c) 33 cm (d) 1 cm
12. 12.What is the average of all the whole numbers from 25 to 61? (a) 18 (b) 43 (c) 36 (d) 44
13. 13.Every pair follows the same rule: 2 : 9, 3 : 11, 7 : 19. What is 9 : ? (a) 23 (b) 22 (c) 24 (d) 16
14. 14.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 26% (b) 15% (c) 5% (d) 10%
15. 15.Today is Saturday. What day of the week will it be after 79 days? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
16. 16.If 11 August is a Wednesday, what day of the week is 14 September? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
17. 17.If 5 mangoes cost ₹115, how much do 10 mangoes cost? (a) ₹1150 (b) ₹253 (c) ₹230 (d) ₹120
18. 18.₹1000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹1030 (b) ₹1150 (c) ₹120 (d) ₹1120
19. 19.Which fraction is greater: 1/6 or 3/4? (a) They are equal (b) 3/4 (c) 1/6
20. 20.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 56 sq cm (d) 160 sq cm
21. 21.If 6x − 15 = 3, what is x? (a) 18 (b) 2 (c) 3 (d) 4
22. 22.What is the value of the digit 9 in 79.836? (a) 0.09 (b) 9 (c) 90 (d) 0.9
23. 23.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
24. 24.If 3x + 12 = 2x + 15, what is x? (a) 27 (b) 4 (c) 3 (d) 5
25. 25.A bag marked ₹360 is sold at a 50% discount. What is its selling price? (a) ₹540 (b) ₹181 (c) ₹180 (d) ₹310
26. 26.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 44 cm (c) 80 cm (d) 48 cm
27. 27.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 6 : ? (a) 8 (b) 12 (c) 36 (d) 34
28. 28.2.35 + 5.6 = ? (a) 7.85 (b) 8.05 (c) 7.95 (d) 2.91
29. 29.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 5% (b) 34% (c) 10% (d) 15%
30. 30.Which is the greatest: 0.717, 0.89, 0.8, 0.051? (a) 0.717 (b) 0.89 (c) 0.8 (d) 0.051
31. 31.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 91 cm (d) 40 cm
32. 32.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 48 cm (c) 24 cm (d) 128 cm
33. 33.3.66 + 5.9 = ? (a) 4.25 (b) 9.46 (c) 9.66 (d) 9.56
34. 34.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 16 (c) 5 (d) 31
35. 35.What is 30% of 900? (a) 540 (b) 630 (c) 270 (d) 2700
36. 36.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 11 days (c) 7 days (d) 10 days
37. 37.If x/2 + 8 = 20, what is x? (a) 32 (b) 56 (c) 12 (d) 24
38. 38.If 3x − 3 = 21, what is x? (a) 9 (b) 8 (c) 24 (d) 6
39. 39.Which fraction is greater: 1/11 or 4/5? (a) 1/11 (b) 4/5 (c) They are equal
40. 40.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 36 cm (d) 32 cm

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