Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 99 · 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 25% of 760? (a) 570 (b) 1900 (c) 190 (d) 380
2. 2.₹168 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹84 (b) ₹21 (c) ₹168 (d) ₹147
3. 3.If 6x + 17 = 101, what is x? (a) 13 (b) 15 (c) 14 (d) 84
4. 4.Two ribbons are 24 cm and 54 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) 30 cm (c) 24 cm (d) 6 cm
5. 5.What is the value of the digit 6 in 34.265? (a) 0.006 (b) 0.6 (c) 6 (d) 0.06
6. 6.What is the units digit of 3^59? (a) 7 (b) 9 (c) 3 (d) 1
7. 7.What is 1/4 of 32? (a) 16 (b) 9 (c) 8 (d) 24
8. 8.Which is the smallest: 0.74, 0.671, 0.026, 0.7? (a) 0.74 (b) 0.671 (c) 0.026 (d) 0.7
9. 9.A bag marked ₹460 is sold at a 50% discount. What is its selling price? (a) ₹690 (b) ₹230 (c) ₹231 (d) ₹410
10. 10.If 21 September is a Monday, what day of the week is 5 October? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
11. 11.What is the simple interest on ₹8500 at 5% per year for 2 years? (a) ₹9350 (b) ₹850 (c) ₹425 (d) ₹1275
12. 12.What is the remainder when 658 is divided by 12? (a) 11 (b) 10 (c) 9 (d) 2
13. 13.Two ribbons are 45 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 45 cm (b) 18 cm (c) 3 cm (d) 9 cm
14. 14.In how many years will ₹2500 earn ₹525 simple interest at 7% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
15. 15.If 2x − 3 = 3, what is x? (a) 2 (b) 3 (c) 6 (d) 4
16. 16.What is 75% of 940? (a) 235 (b) 1410 (c) 7050 (d) 705
17. 17.If 13 March is a Sunday, what day of the week is 19 April? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
18. 18.A shopkeeper buys a toy for ₹480 and sells it for ₹360. What is his loss percent? (a) 25% (b) 30% (c) 20% (d) 26%
19. 19.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 30 (c) 17 (d) 36
20. 20.2.35 + 4.2 = ? (a) 2.77 (b) 6.65 (c) 6.55 (d) 6.45
21. 21.What is the remainder when 509 is divided by 12? (a) 4 (b) 7 (c) 5 (d) 6
22. 22.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 104 cm (c) 10 cm (d) 9 cm
23. 23.If 30 May is a Sunday, what day of the week is 18 June? (a) Sunday (b) Friday (c) Thursday (d) Saturday
24. 24.Every pair follows the same rule: 3 : 3, 6 : 9, 8 : 13. What is 2 : ? (a) 3 (b) 4 (c) 1 (d) 2
25. 25.What is the remainder when 602 is divided by 10? (a) 2 (b) 8 (c) 3 (d) 1
26. 26.₹7500 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹8850 (b) ₹7725 (c) ₹1125 (d) ₹8625
27. 27.2.96 + 3.1 = ? (a) 3.27 (b) 5.96 (c) 6.06 (d) 6.16
28. 28.5.86 + 2.1 = ? (a) 8.06 (b) 6.07 (c) 7.96 (d) 7.86
29. 29.What is 1/9 of 72? (a) 64 (b) 16 (c) 9 (d) 8
30. 30.Which fraction is greater: 2/3 or 5/12? (a) 2/3 (b) They are equal (c) 5/12
31. 31.Which is the greatest: 0.5, 0.043, 0.438, 0.54? (a) 0.5 (b) 0.043 (c) 0.438 (d) 0.54
32. 32.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
33. 33.Every pair follows the same rule: 3 : 9, 7 : 49, 9 : 81. What is 2 : ? (a) 8 (b) 6 (c) 4 (d) 5
34. 34.If 4 kites cost ₹56, how much do 3 kites cost? (a) ₹56 (b) ₹168 (c) ₹55 (d) ₹42
35. 35.What is the simple interest on ₹3000 at 4% per year for 2 years? (a) ₹240 (b) ₹3240 (c) ₹360 (d) ₹120
36. 36.If 15 April is a Sunday, what day of the week is 10 May? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
37. 37.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 27 (b) 26 (c) 29 (d) 50
38. 38.Every pair follows the same rule: 4 : 24, 7 : 57, 8 : 72. What is 2 : ? (a) 13 (b) 11 (c) 22 (d) 12
39. 39.If 7x − 12 = 86, what is x? (a) 15 (b) 13 (c) 98 (d) 14
40. 40.5.39 + 8.4 = ? (a) 13.89 (b) 13.79 (c) 13.69 (d) 6.23

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