Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 666 · 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.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) 2 min (c) 12 min (d) 24 min
2. 2.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) 180 cm (d) 10 cm
3. 3.What is the units digit of 3^32? (a) 1 (b) 3 (c) 9 (d) 7
4. 4.What is the average of 69, 85, 65, 79, 64 and 82? (a) 74 (b) 75 (c) 76 (d) 73
5. 5.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
6. 6.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹60 (b) ₹12 (c) ₹48 (d) ₹54
7. 7.Which is the greatest: 0.099, 0.7, 0.645, 0.71? (a) 0.099 (b) 0.7 (c) 0.645 (d) 0.71
8. 8.In how many years will ₹3000 earn ₹300 simple interest at 2% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
9. 9.Which fraction is greater: 1/12 or 10/11? (a) 1/12 (b) They are equal (c) 10/11
10. 10.Which of these numbers is divisible by 9? (a) 6509 (b) 6516 (c) 6526 (d) 6517
11. 11.₹70 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹60 (b) ₹10 (c) ₹35 (d) ₹70
12. 12.Which fraction is greater: 4/5 or 1/9? (a) They are equal (b) 1/9 (c) 4/5
13. 13.Which fraction is greater: 1/4 or 2/3? (a) 2/3 (b) 1/4 (c) They are equal
14. 14.Every pair follows the same rule: 3 : 7, 6 : 34, 7 : 47. What is 5 : ? (a) 21 (b) 9 (c) 23 (d) 24
15. 15.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 57 (c) 61 (d) 8
16. 16.Which of these numbers is divisible by 4? (a) 3147 (b) 3150 (c) 3141 (d) 3144
17. 17.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 4 days (d) 19 days
18. 18.₹96 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹48 (b) ₹36 (c) ₹60 (d) ₹12
19. 19.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 56 min (c) 36 min (d) 224 min
20. 20.The simple interest on ₹9500 for 5 years is ₹3325. What is the rate per year? (a) 35% (b) 6% (c) 8% (d) 7%
21. 21.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 5 min (c) 25 min (d) 30 min
22. 22.What is the value of the digit 4 in 45.318? (a) 40 (b) 0.4 (c) 0.04 (d) 4
23. 23.What is the value of the digit 8 in 21.398? (a) 0.8 (b) 0.08 (c) 8 (d) 0.008
24. 24.In how many years will ₹5500 earn ₹825 simple interest at 5% per year? (a) 3 years (b) 6 years (c) 4 years (d) 2 years
25. 25.What is the simple interest on ₹2500 at 3% per year for 4 years? (a) ₹2800 (b) ₹75 (c) ₹375 (d) ₹300
26. 26.₹121 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹55 (b) ₹11 (c) ₹77 (d) ₹66
27. 27.₹320 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹120 (b) ₹40 (c) ₹200 (d) ₹160
28. 28.In how many years will ₹2000 earn ₹480 simple interest at 6% per year? (a) 4 years (b) 8 years (c) 3 years (d) 5 years
29. 29.If 6x + 29 = 71, what is x? (a) 8 (b) 6 (c) 42 (d) 7
30. 30.What is 75% of 960? (a) 720 (b) 1440 (c) 7200 (d) 240
31. 31.If 2x − 14 = 16, what is x? (a) 1 (b) 30 (c) 16 (d) 15
32. 32.Two ribbons are 18 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) 27 cm (b) 3 cm (c) 9 cm (d) 18 cm
33. 33.What is 1/9 of 108? (a) 24 (b) 96 (c) 13 (d) 12
34. 34.2.87 + 1.7 = ? (a) 4.57 (b) 4.47 (c) 3.04 (d) 4.67
35. 35.What is the remainder when 421 is divided by 7? (a) 1 (b) 0 (c) 6 (d) 2
36. 36.A teacher has 24 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 24 (c) 96 (d) 4
37. 37.Every pair follows the same rule: 2 : 12, 4 : 18, 8 : 30. What is 6 : ? (a) 24 (b) 25 (c) 16 (d) 36
38. 38.2.33 + 3.4 = ? (a) 2.67 (b) 5.83 (c) 5.63 (d) 5.73
39. 39.If x/4 + 2 = 11, what is x? (a) 52 (b) 9 (c) 36 (d) 42
40. 40.Every pair follows the same rule: 2 : 21, 3 : 22, 9 : 28. What is 5 : ? (a) 24 (b) 26 (c) 23 (d) 25

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