Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 381 · 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.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 6 cm (c) 3 cm (d) 4 cm
2. 2.What is the value of the digit 3 in 72.389? (a) 0.03 (b) 0.3 (c) 3 (d) 0.003
3. 3.The simple interest on ₹2000 for 2 years is ₹120. What is the rate per year? (a) 6% (b) 4% (c) 3% (d) 2%
4. 4.₹48 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹48 (b) ₹36 (c) ₹12 (d) ₹24
5. 5.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 2 min (c) 24 min (d) 48 min
6. 6.The simple interest on ₹9000 for 3 years is ₹1350. What is the rate per year? (a) 5% (b) 6% (c) 15% (d) 4%
7. 7.Two ribbons are 50 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 50 cm (b) 5 cm (c) 10 cm (d) 300 cm
8. 8.A teacher has 30 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 120 (c) 10 (d) 5
9. 9.If 29 May is a Thursday, what day of the week is 1 June? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
10. 10.What is the remainder when 392 is divided by 11? (a) 8 (b) 7 (c) 6 (d) 4
11. 11.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) 3 (c) 9 (d) 378
12. 12.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 12 min (c) 2 min (d) 24 min
13. 13.If 6x + 7 = 5x + 18, what is x? (a) 1 (b) 11 (c) 25 (d) 12
14. 14.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 25 (b) 26 (c) 95 (d) 45
15. 15.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 6 cm (c) 75 cm (d) 7 cm
16. 16.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 24 cm
17. 17.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
18. 18.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
19. 19.In how many years will ₹2500 earn ₹1250 simple interest at 10% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
20. 20.Today is Sunday. What day of the week will it be after 26 days? (a) Sunday (b) Saturday (c) Thursday (d) Friday
21. 21.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
22. 22.What is the average of 17, 26, 32, 13 and 22? (a) 22 (b) 24 (c) 23 (d) 21
23. 23.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 240 min (b) 32 min (c) 60 min (d) 4 min
24. 24.If 3x − 5 = 10, what is x? (a) 4 (b) 6 (c) 15 (d) 5
25. 25.What is the units digit of 8^58? (a) 4 (b) 6 (c) 2 (d) 8
26. 26.Every pair follows the same rule: 6 : 21, 7 : 22, 8 : 23. What is 2 : ? (a) 19 (b) 18 (c) 16 (d) 17
27. 27.Two ribbons are 22 cm and 33 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 22 cm (b) 1 cm (c) 66 cm (d) 11 cm
28. 28.4/6 + 2/8 = ? (a) 23/24 (b) 11/12 (c) 3/7 (d) 7/8
29. 29.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 67? (a) 32 (b) 67 (c) 75 (d) 91
30. 30.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 27 (b) 51 (c) 42 (d) 18
31. 31.1.94 + 1.3 = ? (a) 2.07 (b) 3.34 (c) 3.14 (d) 3.24
32. 32.Every pair follows the same rule: 2 : 2, 5 : 23, 9 : 79. What is 6 : ? (a) 35 (b) 34 (c) 6 (d) 37
33. 33.9.48 + 5.8 = ? (a) 15.28 (b) 10.06 (c) 15.38 (d) 15.18
34. 34.What is the simple interest on ₹1500 at 11% per year for 4 years? (a) ₹165 (b) ₹2160 (c) ₹660 (d) ₹825
35. 35.What is the average of 32, 17, 10, 19, 23 and 19? (a) 20 (b) 19 (c) 24 (d) 21
36. 36.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 3 min (c) 42 min (d) 126 min
37. 37.In how many years will ₹6500 earn ₹780 simple interest at 3% per year? (a) 5 years (b) 4 years (c) 3 years (d) 8 years
38. 38.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 20 min (c) 2 min (d) 14 min
39. 39.Every pair follows the same rule: 3 : 18, 7 : 58, 8 : 73. What is 2 : ? (a) 12 (b) 17 (c) 14 (d) 13
40. 40.If 4x + 11 = 47, what is x? (a) 10 (b) 36 (c) 8 (d) 9

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