Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 584 · 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.What is the value of the digit 7 in 56.789? (a) 7 (b) 0.7 (c) 0.007 (d) 0.07
2. 2.Every pair follows the same rule: 3 : 24, 7 : 56, 8 : 64. What is 2 : ? (a) 16 (b) 23 (c) 17 (d) 15
3. 3.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 7 days (c) 18 days (d) 28 days
4. 4.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 40 sq cm (c) 20 sq cm (d) 51 sq cm
5. 5.If 5x + 10 = 80, what is x? (a) 70 (b) 14 (c) 18 (d) 15
6. 6.Today is Thursday. What day of the week will it be after 67 days? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
7. 7.Which fraction is greater: 3/4 or 1/5? (a) They are equal (b) 1/5 (c) 3/4
8. 8.If 3 mangoes cost ₹63, how much do 8 mangoes cost? (a) ₹189 (b) ₹168 (c) ₹68 (d) ₹504
9. 9.Every pair follows the same rule: 4 : 14, 8 : 62, 9 : 79. What is 5 : ? (a) 15 (b) 23 (c) 11 (d) 24
10. 10.In how many years will ₹2500 earn ₹400 simple interest at 8% per year? (a) 2 years (b) 3 years (c) 4 years (d) 1 year
11. 11.Which is the greatest: 0.036, 0.39, 0.289, 0.3? (a) 0.036 (b) 0.39 (c) 0.289 (d) 0.3
12. 12.What is 10% of 120? (a) 12 (b) 108 (c) 24 (d) 120
13. 13.Every pair follows the same rule: 2 : 12, 3 : 17, 8 : 42. What is 7 : ? (a) 37 (b) 38 (c) 42 (d) 17
14. 14.A teacher has 10 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 1 (c) 10 (d) 15
15. 15.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 100 (b) 250 (c) 50 (d) 35
16. 16.Two ribbons are 30 cm and 50 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) 30 cm (c) 5 cm (d) 20 cm
17. 17.Which is the greatest: 0.046, 0.4, 0.41, 0.361? (a) 0.046 (b) 0.4 (c) 0.41 (d) 0.361
18. 18.If 10 August is a Saturday, what day of the week is 20 August? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
19. 19.Which fraction is greater: 3/11 or 7/10? (a) 3/11 (b) They are equal (c) 7/10
20. 20.₹3000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹3600 (b) ₹3450 (c) ₹450 (d) ₹3150
21. 21.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) 126 min (b) 27 min (c) 3 min (d) 42 min
22. 22.Which fraction is greater: 9/10 or 3/5? (a) 9/10 (b) 3/5 (c) They are equal
23. 23.What is the units digit of 2^26? (a) 2 (b) 4 (c) 6 (d) 8
24. 24.In how many years will ₹10000 earn ₹800 simple interest at 2% per year? (a) 4 years (b) 3 years (c) 8 years (d) 5 years
25. 25.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 75 min (c) 40 min (d) 375 min
26. 26.What is the value of the digit 9 in 43.987? (a) 9 (b) 0.009 (c) 0.9 (d) 0.09
27. 27.Every pair follows the same rule: 2 : 3, 7 : 23, 9 : 31. What is 4 : ? (a) 5 (b) 12 (c) 10 (d) 11
28. 28.What is the value of the digit 5 in 63.754? (a) 0.005 (b) 0.05 (c) 5 (d) 0.5
29. 29.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 36 sq cm (c) 18 sq cm (d) 78 sq cm
30. 30.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
31. 31.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
32. 32.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 80 sq cm (d) 60 sq cm
33. 33.₹264 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹132 (b) ₹154 (c) ₹110 (d) ₹22
34. 34.A teacher has 24 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 8 (c) 24 (d) 40
35. 35.If 9x + 22 = 121, what is x? (a) 10 (b) 99 (c) 12 (d) 11
36. 36.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 4 cm (c) 2 cm (d) 3 cm
37. 37.What is the average of all the whole numbers from 5 to 43? (a) 38 (b) 19 (c) 24 (d) 25
38. 38.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 35 min (c) 300 min (d) 5 min
39. 39.Today is Friday. What day of the week will it be after 44 days? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
40. 40.What is the average of 36, 21, 30, 35, 34 and 54? (a) 34 (b) 42 (c) 36 (d) 35

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