Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 248 · 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.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 43 (b) 81 (c) 68 (d) 30
2. 2.4 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 36 days (c) 5 days (d) 20 days
3. 3.Which fraction is greater: 3/10 or 1/11? (a) 3/10 (b) 1/11 (c) They are equal
4. 4.If 7 July is a Tuesday, what day of the week is 23 July? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
5. 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
6. 6.Every pair follows the same rule: 2 : 3, 6 : 35, 9 : 80. What is 5 : ? (a) 25 (b) 20 (c) 24 (d) 6
7. 7.Which of these numbers is divisible by 11? (a) 749 (b) 748 (c) 746 (d) 766
8. 8.8 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 15 days (b) 17 days (c) 16 days (d) 13 days
9. 9.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 336 min (c) 4 min (d) 40 min
10. 10.A shopkeeper buys a toy for ₹840 and sells it for ₹882. What is his profit percent? (a) 42% (b) 5% (c) 10% (d) 6%
11. 11.What is the simple interest on ₹1000 at 5% per year for 3 years? (a) ₹1150 (b) ₹200 (c) ₹150 (d) ₹50
12. 12.2/7 + 2/3 = ? (a) 20/21 (b) 2/5 (c) 19/21 (d) 1
13. 13.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
14. 14.A shopkeeper buys a toy for ₹420 and sells it for ₹294. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
15. 15.If 2 July is a Monday, what day of the week is 16 July? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
16. 16.If 7x − 14 = 14, what is x? (a) 5 (b) 28 (c) 4 (d) 3
17. 17.A teacher has 16 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 12 (c) 16 (d) 2
18. 18.In how many years will ₹3000 earn ₹1320 simple interest at 11% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
19. 19.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 3 days (d) 10 days
20. 20.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 30 min (c) 36 min (d) 216 min
21. 21.4.46 + 7.3 = ? (a) 11.66 (b) 11.86 (c) 5.19 (d) 11.76
22. 22.Which fraction is greater: 5/8 or 2/3? (a) 2/3 (b) 5/8 (c) They are equal
23. 23.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
24. 24.What is the remainder when 143 is divided by 3? (a) 0 (b) 2 (c) 1
25. 25.8 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 8 days (c) 7 days (d) 9 days
26. 26.₹135 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹15 (b) ₹120 (c) ₹121 (d) ₹135
27. 27.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 108 sq cm (c) 120 sq cm (d) 21 sq cm
28. 28.If 6 notebooks cost ₹54, how much do 10 notebooks cost? (a) ₹90 (b) ₹540 (c) ₹99 (d) ₹58
29. 29.Which of these numbers is divisible by 6? (a) 4578 (b) 4573 (c) 4581 (d) 4588
30. 30.Which fraction is greater: 1/3 or 3/5? (a) 3/5 (b) They are equal (c) 1/3
31. 31.What is the simple interest on ₹4000 at 2% per year for 4 years? (a) ₹400 (b) ₹80 (c) ₹320 (d) ₹4320
32. 32.Today is Thursday. What day of the week will it be after 46 days? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
33. 33.Which is the smallest: 0.36, 0.268, 0.098, 0.3? (a) 0.36 (b) 0.268 (c) 0.098 (d) 0.3
34. 34.If 8x − 27 = 13, what is x? (a) 5 (b) 4 (c) 6 (d) 40
35. 35.Two ribbons are 24 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 4 cm (c) 32 cm (d) 8 cm
36. 36.What is the units digit of 8^15? (a) 4 (b) 6 (c) 8 (d) 2
37. 37.If 11 June is a Wednesday, what day of the week is 12 July? (a) Monday (b) Sunday (c) Saturday (d) Friday
38. 38.Which fraction is greater: 2/11 or 1/3? (a) 1/3 (b) They are equal (c) 2/11
39. 39.If 8 kites cost ₹120, how much do 3 kites cost? (a) ₹60 (b) ₹45 (c) ₹360 (d) ₹115
40. 40.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 22 cm (d) 30 cm

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