Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 759 · 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 21 November is a Sunday, what day of the week is 17 December? (a) Sunday (b) Thursday (c) Saturday (d) Friday
2. 2.Every pair follows the same rule: 3 : 18, 5 : 34, 9 : 90. What is 8 : ? (a) 73 (b) 23 (c) 76 (d) 48
3. 3.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 2 min (c) 22 min (d) 60 min
4. 4.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 12 (b) 24 (c) 27 (d) 33
5. 5.A teacher has 16 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 16 (c) 56 (d) 4
6. 6.1/2 + 1/3 = ? (a) 2/3 (b) 2/5 (c) 5/6 (d) 1
7. 7.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 72 (b) 108 (c) 21 (d) 36
8. 8.The simple interest on ₹1500 for 2 years is ₹330. What is the rate per year? (a) 12% (b) 22% (c) 10% (d) 11%
9. 9.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 217 (b) 174 (c) 6 (d) 216
10. 10.In how many years will ₹3000 earn ₹180 simple interest at 2% per year? (a) 4 years (b) 2 years (c) 3 years (d) 6 years
11. 11.Two ribbons are 12 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 1 cm (c) 60 cm (d) 3 cm
12. 12.What is the value of the digit 4 in 94.571? (a) 4 (b) 0.04 (c) 40 (d) 0.4
13. 13.What is 1/2 of 12? (a) 6 (b) 5 (c) 12 (d) 7
14. 14.Every pair follows the same rule: 2 : 11, 4 : 13, 9 : 18. What is 5 : ? (a) 15 (b) 13 (c) 16 (d) 14
15. 15.What is the units digit of 4^49? (a) 4 (b) 5 (c) 6 (d) 3
16. 16.What is the units digit of 3^26? (a) 9 (b) 1 (c) 7 (d) 3
17. 17.What is the value of the digit 1 in 16.529? (a) 0.01 (b) 10 (c) 1 (d) 0.1
18. 18.If 8 August is a Tuesday, what day of the week is 20 August? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
19. 19.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹360 (b) ₹40 (c) ₹280 (d) ₹200
20. 20.What is the simple interest on ₹5500 at 11% per year for 5 years? (a) ₹3630 (b) ₹605 (c) ₹3025 (d) ₹8525
21. 21.Two ribbons are 40 cm and 70 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) 30 cm (d) 40 cm
22. 22.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 5 days (d) 9 days
23. 23.Which fraction is greater: 1/10 or 4/9? (a) They are equal (b) 1/10 (c) 4/9
24. 24.Which of these numbers is divisible by 6? (a) 4996 (b) 4991 (c) 4983 (d) 4986
25. 25.In how many years will ₹3000 earn ₹600 simple interest at 10% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
26. 26.What is the units digit of 2^54? (a) 6 (b) 2 (c) 8 (d) 4
27. 27.What is the simple interest on ₹1500 at 5% per year for 5 years? (a) ₹375 (b) ₹450 (c) ₹1875 (d) ₹75
28. 28.What is the average of 32, 38, 56, 32 and 77? (a) 48 (b) 49 (c) 47 (d) 46
29. 29.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 4 (b) 79 (c) 43 (d) 40
30. 30.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
31. 31.Which is the greatest: 0.32, 0.293, 0.086, 0.3? (a) 0.32 (b) 0.293 (c) 0.086 (d) 0.3
32. 32.Which of these numbers is divisible by 9? (a) 7266 (b) 7277 (c) 7282 (d) 7272
33. 33.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 6 : ? (a) 36 (b) 34 (c) 12 (d) 8
34. 34.What is the units digit of 8^60? (a) 2 (b) 8 (c) 6 (d) 4
35. 35.Every pair follows the same rule: 4 : 22, 6 : 24, 7 : 25. What is 8 : ? (a) 28 (b) 26 (c) 25 (d) 27
36. 36.What is 30% of 60? (a) 42 (b) 18 (c) 36 (d) 180
37. 37.What is the value of the digit 2 in 59.216? (a) 0.2 (b) 2 (c) 0.02 (d) 0.002
38. 38.What is the average of 73, 70, 64 and 109? (a) 79 (b) 81 (c) 80 (d) 78
39. 39.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 76 (b) 36 (c) 31 (d) 50
40. 40.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 6 cm (c) 12 cm (d) 7 cm

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