Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 363 · 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.Today is Saturday. What day of the week will it be after 93 days? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
2. 2.₹1000 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹1500 (b) ₹1600 (c) ₹500 (d) ₹1100
3. 3.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
4. 4.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 5 : ? (a) 11 (b) 25 (c) 26 (d) 15
5. 5.8.01 + 2.1 = ? (a) 8.22 (b) 10.01 (c) 10.21 (d) 10.11
6. 6.What is the smallest number you must add to 164 to make it divisible by 11? (a) 1 (b) 10 (c) 2 (d) 3
7. 7.₹3500 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹5040 (b) ₹3885 (c) ₹1540 (d) ₹5425
8. 8.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 12 (b) 4 (c) 26 (d) 5
9. 9.What is the remainder when 706 is divided by 9? (a) 6 (b) 3 (c) 4 (d) 5
10. 10.In how many years will ₹10000 earn ₹2000 simple interest at 5% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
11. 11.Today is Friday. What day of the week will it be after 51 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
12. 12.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 29 sq cm (d) 209 sq cm
13. 13.2/7 + 2/5 = ? (a) 23/35 (b) 1/3 (c) 5/7 (d) 24/35
14. 14.If 14 April is a Wednesday, what day of the week is 14 May? (a) Friday (b) Thursday (c) Saturday (d) Sunday
15. 15.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 48 sq cm (c) 136 sq cm (d) 24 sq cm
16. 16.What is the average of 44, 39, 57, 34, 27 and 51? (a) 42 (b) 44 (c) 43 (d) 41
17. 17.If 1 May is a Saturday, what day of the week is 13 May? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
18. 18.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 21 cm (d) 17 cm
19. 19.Two ribbons are 10 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 1 cm (c) 6 cm (d) 10 cm
20. 20.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 1 day (d) 2 days
21. 21.Two ribbons are 20 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 70 cm (c) 5 cm (d) 10 cm
22. 22.What is the simple interest on ₹4000 at 6% per year for 2 years? (a) ₹240 (b) ₹4480 (c) ₹720 (d) ₹480
23. 23.Which fraction is greater: 4/11 or 1/12? (a) 4/11 (b) They are equal (c) 1/12
24. 24.3.59 + 4.4 = ? (a) 8.09 (b) 7.99 (c) 7.89 (d) 4.03
25. 25.What is the average of 28, 23, 25 and 8? (a) 28 (b) 22 (c) 20 (d) 21
26. 26.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 37 cm (d) 126 cm
27. 27.If 8 pens cost ₹192, how much do 9 pens cost? (a) ₹1728 (b) ₹193 (c) ₹216 (d) ₹240
28. 28.In how many years will ₹1500 earn ₹375 simple interest at 5% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
29. 29.Every pair follows the same rule: 2 : 6, 7 : 16, 8 : 18. What is 9 : ? (a) 20 (b) 13 (c) 21 (d) 27
30. 30.A teacher has 14 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 112 (c) 2 (d) 14
31. 31.What is 4/9 of 54? (a) 25 (b) 30 (c) 24 (d) 6
32. 32.What is the simple interest on ₹7500 at 2% per year for 5 years? (a) ₹8250 (b) ₹150 (c) ₹900 (d) ₹750
33. 33.Which fraction is greater: 1/6 or 5/7? (a) 1/6 (b) 5/7 (c) They are equal
34. 34.Which of these numbers is divisible by 4? (a) 3337 (b) 3342 (c) 3334 (d) 3336
35. 35.Which fraction is greater: 2/3 or 1/7? (a) They are equal (b) 2/3 (c) 1/7
36. 36.What is 1/9 of 36? (a) 4 (b) 5 (c) 8 (d) 32
37. 37.If 6x − 24 = 18, what is x? (a) 42 (b) 6 (c) 8 (d) 7
38. 38.What is the units digit of 7^25? (a) 9 (b) 3 (c) 1 (d) 7
39. 39.What is 1/2 of 24? (a) 11 (b) 13 (c) 12 (d) 24
40. 40.A shopkeeper buys a toy for ₹680 and sells it for ₹578. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%

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