Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 286 · 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. 1.6 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 1 day (d) 3 days
2. 2.What is the average of 67, 53, 49 and 71? (a) 60 (b) 80 (c) 61 (d) 59
3. 3.If 4x + 9 = 3x + 11, what is x? (a) 20 (b) 4 (c) 3 (d) 2
4. 4.Every pair follows the same rule: 3 : 16, 5 : 18, 8 : 21. What is 4 : ? (a) 19 (b) 16 (c) 18 (d) 17
5. 5.What is the average of 85, 61, 57 and 85? (a) 73 (b) 71 (c) 96 (d) 72
6. 6.What is the smallest number you must add to 547 to make it divisible by 10? (a) 2 (b) 3 (c) 7 (d) 4
7. 7.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 1 : ? (a) 1 (b) 4 (c) 7 (d) 2
8. 8.A bag marked ₹720 is sold at a 50% discount. What is its selling price? (a) ₹360 (b) ₹361 (c) ₹1080 (d) ₹670
9. 9.If x/6 + 7 = 11, what is x? (a) 24 (b) 59 (c) 4 (d) 108
10. 10.A teacher has 54 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 54 (b) 378 (c) 3 (d) 9
11. 11.What is the simple interest on ₹8000 at 10% per year for 2 years? (a) ₹1600 (b) ₹9600 (c) ₹800 (d) ₹2400
12. 12.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 114 cm
13. 13.If 5 pens cost ₹30, how much do 11 pens cost? (a) ₹330 (b) ₹66 (c) ₹72 (d) ₹36
14. 14.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
15. 15.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 24 cm (c) 13 cm (d) 12 cm
16. 16.If 8x + 5 = 7x + 11, what is x? (a) 16 (b) 8 (c) 7 (d) 6
17. 17.What is 25% of 880? (a) 2200 (b) 440 (c) 220 (d) 660
18. 18.If 8 kites cost ₹160, how much do 3 kites cost? (a) ₹480 (b) ₹80 (c) ₹60 (d) ₹155
19. 19.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 35 cm
20. 20.₹187 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹17 (b) ₹34 (c) ₹170 (d) ₹153
21. 21.Two ribbons are 80 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) 10 cm (b) 5 cm (c) 80 cm (d) 720 cm
22. 22.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 59 (b) 35 (c) 29 (d) 34
23. 23.A bag marked ₹1300 is sold at a 40% discount. What is its selling price? (a) ₹1820 (b) ₹1260 (c) ₹520 (d) ₹780
24. 24.If 8x − 9 = 47, what is x? (a) 6 (b) 7 (c) 8 (d) 56
25. 25.₹120 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹45 (b) ₹15 (c) ₹60 (d) ₹75
26. 26.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 120 (b) 480 (c) 240 (d) 44
27. 27.Every pair follows the same rule: 3 : 24, 7 : 56, 8 : 64. What is 6 : ? (a) 47 (b) 27 (c) 49 (d) 48
28. 28.If x/4 + 6 = 10, what is x? (a) 34 (b) 16 (c) 64 (d) 4
29. 29.Which is the smallest: 0.294, 0.39, 0.095, 0.3? (a) 0.294 (b) 0.39 (c) 0.095 (d) 0.3
30. 30.What is 30% of 680? (a) 408 (b) 2040 (c) 476 (d) 204
31. 31.A bag marked ₹220 is sold at a 15% discount. What is its selling price? (a) ₹33 (b) ₹205 (c) ₹253 (d) ₹187
32. 32.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 42% (b) 10% (c) 15% (d) 20%
33. 33.Two ribbons are 33 cm and 88 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 33 cm (c) 55 cm (d) 1 cm
34. 34.If 5x + 6 = 3x + 18, what is x? (a) 12 (b) 7 (c) 8 (d) 6
35. 35.Two ribbons are 25 cm and 30 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) 1 cm (c) 150 cm (d) 25 cm
36. 36.If 8x − 1 = 15, what is x? (a) 2 (b) 16 (c) 1 (d) 3
37. 37.A teacher has 60 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 6 (c) 60 (d) 360
38. 38.Every pair follows the same rule: 2 : 1, 5 : 7, 7 : 11. What is 3 : ? (a) 2 (b) 3 (c) 5 (d) 4
39. 39.8.47 + 6.6 = ? (a) 14.97 (b) 15.17 (c) 15.07 (d) 9.13
40. 40.Today is Thursday. What day of the week will it be after 58 days? (a) Monday (b) Friday (c) Saturday (d) Sunday

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