Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 711 · 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. 1.1/2 + 5/8 = ? (a) 1 (b) 5/4 (c) 9/8 (d) 3/5
2. 2.Which of these numbers is divisible by 8? (a) 1206 (b) 1192 (c) 1186 (d) 1198
3. 3.What is 30% of 840? (a) 588 (b) 2520 (c) 252 (d) 504
4. 4.₹216 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹90 (b) ₹18 (c) ₹126 (d) ₹108
5. 5.If 3x + 15 = 2x + 22, what is x? (a) 9 (b) 7 (c) 8 (d) 37
6. 6.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 1 : ? (a) 7 (b) 4 (c) 1 (d) 2
7. 7.If 13 March is a Saturday, what day of the week is 21 March? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
8. 8.Every pair follows the same rule: 3 : 16, 4 : 19, 7 : 28. What is 9 : ? (a) 33 (b) 34 (c) 35 (d) 22
9. 9.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 120 cm
10. 10.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 16 cm (c) 4 cm (d) 3 cm
11. 11.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 37 cm (c) 143 cm (d) 24 cm
12. 12.Which fraction is greater: 1/3 or 4/11? (a) 1/3 (b) 4/11 (c) They are equal
13. 13.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 71 (b) 36 (c) 41 (d) 47
14. 14.What is the remainder when 287 is divided by 8? (a) 5 (b) 6 (c) 7 (d) 1
15. 15.Which fraction is greater: 1/4 or 4/5? (a) 1/4 (b) They are equal (c) 4/5
16. 16.What is the value of the digit 3 in 63.459? (a) 3 (b) 0.03 (c) 30 (d) 0.3
17. 17.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 1 (b) 2 (c) 61 (d) 16
18. 18.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 180 cm
19. 19.₹180 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹36 (b) ₹90 (c) ₹180 (d) ₹144
20. 20.₹342 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹38 (b) ₹76 (c) ₹171 (d) ₹266
21. 21.If 2x − 2 = 8, what is x? (a) 3 (b) 6 (c) 5 (d) 10
22. 22.Which is the smallest: 0.717, 0.8, 0.84, 0.025? (a) 0.717 (b) 0.8 (c) 0.84 (d) 0.025
23. 23.Which of these numbers is divisible by 3? (a) 1094 (b) 1097 (c) 1090 (d) 1092
24. 24.Which is the greatest: 0.235, 0.035, 0.31, 0.3? (a) 0.235 (b) 0.035 (c) 0.31 (d) 0.3
25. 25.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 16 (b) 18 (c) 11 (d) 23
26. 26.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 44 cm (d) 144 cm
27. 27.Every pair follows the same rule: 2 : 6, 4 : 12, 6 : 18. What is 9 : ? (a) 26 (b) 28 (c) 27 (d) 13
28. 28.Two ribbons are 70 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) 5 cm (b) 70 cm (c) 20 cm (d) 10 cm
29. 29.What is the units digit of 7^23? (a) 7 (b) 3 (c) 1 (d) 9
30. 30.What is the average of 68, 59, 87, 61, 87 and 70? (a) 74 (b) 72 (c) 73 (d) 71
31. 31.₹4000 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹5600 (b) ₹4320 (c) ₹1600 (d) ₹5920
32. 32.₹288 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹288 (b) ₹144 (c) ₹48 (d) ₹240
33. 33.If 27 January is a Friday, what day of the week is 6 February? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
34. 34.If 6 mangoes cost ₹42, how much do 12 mangoes cost? (a) ₹48 (b) ₹504 (c) ₹91 (d) ₹84
35. 35.A bag marked ₹300 is sold at a 10% discount. What is its selling price? (a) ₹330 (b) ₹270 (c) ₹30 (d) ₹290
36. 36.What is 50% of 940? (a) 470 (b) 471 (c) 940 (d) 4700
37. 37.What is the simple interest on ₹2500 at 12% per year for 4 years? (a) ₹1500 (b) ₹300 (c) ₹1200 (d) ₹3700
38. 38.If 14 January is a Thursday, what day of the week is 3 February? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
39. 39.If 30 April is a Wednesday, what day of the week is 16 May? (a) Thursday (b) Sunday (c) Saturday (d) Friday
40. 40.If 4 notebooks cost ₹92, how much do 10 notebooks cost? (a) ₹98 (b) ₹920 (c) ₹230 (d) ₹253

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