Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 309 · 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.₹273 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹189 (b) ₹168 (c) ₹21 (d) ₹105
2. 2.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 50 (b) 86 (c) 44 (d) 8
3. 3.If x/5 + 11 = 13, what is x? (a) 2 (b) 54 (c) 10 (d) 120
4. 4.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 100 min (b) 500 min (c) 5 min (d) 45 min
5. 5.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 65 (c) 35 (d) 37
6. 6.7.11 + 3.9 = ? (a) 11.11 (b) 10.91 (c) 11.01 (d) 7.5
7. 7.The simple interest on ₹1000 for 3 years is ₹330. What is the rate per year? (a) 11% (b) 12% (c) 33% (d) 10%
8. 8.What is the smallest number you must add to 203 to make it divisible by 4? (a) 1 (b) 2 (c) 3
9. 9.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 20 min (c) 42 min (d) 84 min
10. 10.What is the value of the digit 9 in 13.629? (a) 9 (b) 0.09 (c) 0.9 (d) 0.009
11. 11.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 28 (c) 30 (d) 41
12. 12.If 3 pens cost ₹33, how much do 11 pens cost? (a) ₹132 (b) ₹121 (c) ₹41 (d) ₹363
13. 13.Two ribbons are 18 cm and 81 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) 63 cm (c) 9 cm (d) 18 cm
14. 14.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 22 sq cm (d) 24 sq cm
15. 15.A teacher has 6 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 10 (c) 2 (d) 6
16. 16.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 13 sq cm (c) 40 sq cm (d) 26 sq cm
17. 17.Every pair follows the same rule: 4 : 15, 5 : 24, 9 : 80. What is 7 : ? (a) 49 (b) 18 (c) 52 (d) 48
18. 18.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 27 days (b) 26 days (c) 9 days (d) 17 days
19. 19.In how many years will ₹9500 earn ₹1710 simple interest at 6% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
20. 20.What is the value of the digit 8 in 78.521? (a) 0.8 (b) 8 (c) 0.08 (d) 80
21. 21.A shopkeeper buys a toy for ₹400 and sells it for ₹600. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
22. 22.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 33 min (c) 84 min (d) 252 min
23. 23.Every pair follows the same rule: 5 : 29, 7 : 53, 8 : 68. What is 4 : ? (a) 8 (b) 21 (c) 28 (d) 20
24. 24.What is the remainder when 175 is divided by 10? (a) 7 (b) 4 (c) 5 (d) 6
25. 25.If 5x − 21 = 4, what is x? (a) 6 (b) 4 (c) 5 (d) 25
26. 26.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 6 days (d) 15 days
27. 27.A teacher has 70 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 70 (c) 560 (d) 5
28. 28.In how many years will ₹7500 earn ₹1125 simple interest at 5% per year? (a) 2 years (b) 4 years (c) 3 years (d) 6 years
29. 29.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
30. 30.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
31. 31.Every pair follows the same rule: 5 : 25, 6 : 30, 9 : 45. What is 3 : ? (a) 15 (b) 14 (c) 23 (d) 16
32. 32.A bag marked ₹1920 is sold at a 10% discount. What is its selling price? (a) ₹2112 (b) ₹192 (c) ₹1728 (d) ₹1910
33. 33.If 18 November is a Thursday, what day of the week is 15 December? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
34. 34.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 40%
35. 35.3.43 + 2.9 = ? (a) 6.33 (b) 3.72 (c) 6.23 (d) 6.43
36. 36.3/5 + 3/5 = ? (a) 1 (b) 3/5 (c) 6/5 (d) 7/5
37. 37.Two ribbons are 40 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 40 cm (c) 4 cm (d) 240 cm
38. 38.A shopkeeper buys a toy for ₹920 and sells it for ₹1058. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
39. 39.4.54 + 4.9 = ? (a) 5.03 (b) 9.54 (c) 9.34 (d) 9.44
40. 40.Which of these numbers is divisible by 11? (a) 5644 (b) 5643 (c) 5655 (d) 5636

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