Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 851 · 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.If 5x + 20 = 75, what is x? (a) 55 (b) 12 (c) 11 (d) 19
2. 2.Two ribbons are 45 cm and 72 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) 45 cm (c) 27 cm (d) 9 cm
3. 3.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 13 sq cm (d) 26 sq cm
4. 4.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 6 min (c) 60 min (d) 756 min
5. 5.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 10 days (c) 19 days (d) 18 days
6. 6.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 35 (c) 15 (d) 36
7. 7.₹7000 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹1680 (b) ₹8680 (c) ₹9100 (d) ₹7420
8. 8.A shopkeeper buys a toy for ₹380 and sells it for ₹437. What is his profit percent? (a) 10% (b) 20% (c) 57% (d) 15%
9. 9.Which is the greatest: 0.44, 0.063, 0.4, 0.317? (a) 0.44 (b) 0.063 (c) 0.4 (d) 0.317
10. 10.If 3x + 2 = 2x + 13, what is x? (a) 13 (b) 12 (c) 15 (d) 11
11. 11.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
12. 12.A teacher has 8 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 8 (d) 12
13. 13.In how many years will ₹1500 earn ₹120 simple interest at 2% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
14. 14.What is 5% of 940? (a) 94 (b) 47 (c) 893 (d) 470
15. 15.4.25 + 3.2 = ? (a) 4.57 (b) 7.35 (c) 7.45 (d) 7.55
16. 16.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 66 (b) 59 (c) 56 (d) 108
17. 17.4.31 + 2.1 = ? (a) 6.51 (b) 4.52 (c) 6.31 (d) 6.41
18. 18.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 38%
19. 19.If 11 January is a Thursday, what day of the week is 25 January? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
20. 20.Two ribbons are 20 cm and 45 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) 1 cm (c) 25 cm (d) 5 cm
21. 21.3.11 + 3.1 = ? (a) 3.42 (b) 6.31 (c) 6.11 (d) 6.21
22. 22.Which is the greatest: 0.3, 0.35, 0.028, 0.294? (a) 0.3 (b) 0.35 (c) 0.028 (d) 0.294
23. 23.1.11 + 5.5 = ? (a) 1.66 (b) 6.71 (c) 6.51 (d) 6.61
24. 24.If 9x − 16 = 110, what is x? (a) 14 (b) 15 (c) 13 (d) 126
25. 25.3/4 + 2/6 = ? (a) 1 (b) 7/6 (c) 13/12 (d) 1/2
26. 26.Today is Wednesday. What day of the week will it be after 92 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
27. 27.Which of these numbers is divisible by 3? (a) 1430 (b) 1426 (c) 1425 (d) 1424
28. 28.A bag marked ₹340 is sold at a 10% discount. What is its selling price? (a) ₹306 (b) ₹34 (c) ₹330 (d) ₹374
29. 29.If 4x + 3 = 3x + 6, what is x? (a) 9 (b) 5 (c) 4 (d) 3
30. 30.A shopkeeper buys a toy for ₹740 and sells it for ₹1110. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 51%
31. 31.Which is the greatest: 0.35, 0.059, 0.3, 0.277? (a) 0.35 (b) 0.059 (c) 0.3 (d) 0.277
32. 32.Which fraction is greater: 1/4 or 5/11? (a) They are equal (b) 1/4 (c) 5/11
33. 33.Which fraction is greater: 5/12 or 5/8? (a) 5/8 (b) They are equal (c) 5/12
34. 34.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 102 sq cm (b) 119 sq cm (c) 23 sq cm (d) 46 sq cm
35. 35.Every pair follows the same rule: 3 : 3, 5 : 7, 6 : 9. What is 9 : ? (a) 15 (b) 14 (c) 16 (d) 9
36. 36.2.23 + 6.4 = ? (a) 8.63 (b) 8.53 (c) 2.87 (d) 8.73
37. 37.If 8x + 14 = 3x + 24, what is x? (a) 3 (b) 4 (c) 1 (d) 2
38. 38.A shopkeeper buys a toy for ₹900 and sells it for ₹1350. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
39. 39.₹7500 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹2025 (b) ₹9525 (c) ₹10200 (d) ₹8175
40. 40.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 25 cm (c) 156 cm (d) 50 cm

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