Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 512 · 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.What is 2/3 of 33? (a) 11 (b) 23 (c) 33 (d) 22
2. 2.₹9000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹10890 (b) ₹9630 (c) ₹1260 (d) ₹10260
3. 3.Which of these numbers is divisible by 4? (a) 983 (b) 976 (c) 978 (d) 974
4. 4.What is 75% of 200? (a) 300 (b) 150 (c) 50 (d) 1500
5. 5.Today is Friday. What day of the week will it be after 16 days? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
6. 6.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
7. 7.What is the remainder when 239 is divided by 5? (a) 4 (b) 2 (c) 3 (d) 1
8. 8.What is the average of all the whole numbers from 44 to 52? (a) 48 (b) 4 (c) 49 (d) 8
9. 9.A shopkeeper buys a toy for ₹640 and sells it for ₹768. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 21%
10. 10.Every pair follows the same rule: 2 : 4, 7 : 14, 9 : 18. What is 3 : ? (a) 8 (b) 6 (c) 7 (d) 5
11. 11.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 56 (b) 52 (c) 45 (d) 94
12. 12.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
13. 13.Every pair follows the same rule: 3 : 7, 6 : 13, 8 : 17. What is 5 : ? (a) 11 (b) 12 (c) 9 (d) 10
14. 14.If 10 March is a Saturday, what day of the week is 20 March? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
15. 15.In how many years will ₹6500 earn ₹2340 simple interest at 9% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
16. 16.If 9x − 8 = 19, what is x? (a) 27 (b) 2 (c) 4 (d) 3
17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹75. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
18. 18.Two ribbons are 18 cm and 27 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) 54 cm (c) 3 cm (d) 18 cm
19. 19.What is the value of the digit 9 in 16.539? (a) 9 (b) 0.9 (c) 0.009 (d) 0.09
20. 20.Which fraction is greater: 1/8 or 3/4? (a) 3/4 (b) 1/8 (c) They are equal
21. 21.If 7x + 18 = 4x + 42, what is x? (a) 9 (b) 8 (c) 10 (d) 20
22. 22.If 5 kites cost ₹70, how much do 10 kites cost? (a) ₹154 (b) ₹140 (c) ₹700 (d) ₹75
23. 23.₹7500 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹9900 (b) ₹8100 (c) ₹2400 (d) ₹10500
24. 24.What is 1/4 of 20? (a) 6 (b) 5 (c) 15 (d) 10
25. 25.What is the simple interest on ₹1500 at 12% per year for 5 years? (a) ₹2400 (b) ₹1080 (c) ₹900 (d) ₹180
26. 26.₹2500 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹3500 (b) ₹1000 (c) ₹3700 (d) ₹2700
27. 27.In how many years will ₹1500 earn ₹315 simple interest at 7% per year? (a) 3 years (b) 4 years (c) 6 years (d) 2 years
28. 28.6/8 + 1/2 = ? (a) 7/10 (b) 9/8 (c) 5/4 (d) 11/8
29. 29.What is the remainder when 227 is divided by 6? (a) 3 (b) 1 (c) 4 (d) 5
30. 30.What is 2/3 of 36? (a) 12 (b) 25 (c) 24 (d) 36
31. 31.The simple interest on ₹10000 for 3 years is ₹3600. What is the rate per year? (a) 12% (b) 11% (c) 36% (d) 13%
32. 32.If 2 January is a Tuesday, what day of the week is 10 January? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
33. 33.If 9 kites cost ₹81, how much do 7 kites cost? (a) ₹72 (b) ₹79 (c) ₹63 (d) ₹567
34. 34.A bag marked ₹480 is sold at a 10% discount. What is its selling price? (a) ₹48 (b) ₹470 (c) ₹528 (d) ₹432
35. 35.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 52 cm (c) 26 cm (d) 46 cm
36. 36.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 14 (b) 54 (c) 28 (d) 40
37. 37.What is the smallest number you must add to 231 to make it divisible by 8? (a) 3 (b) 1 (c) 7 (d) 2
38. 38.What is the average of 27, 21, 44, 16, 26 and 40? (a) 30 (b) 28 (c) 31 (d) 29
39. 39.If 20 July is a Friday, what day of the week is 17 August? (a) Sunday (b) Friday (c) Thursday (d) Saturday
40. 40.What is the value of the digit 6 in 56.182? (a) 0.06 (b) 0.6 (c) 60 (d) 6

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