Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 326 · 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 8 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 50 (b) 30 (c) 29 (d) 103
2. 2.If 30 October is a Wednesday, what day of the week is 4 November? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
3. 3.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 24 (c) 20 (d) 48
4. 4.A bag marked ₹1020 is sold at a 40% discount. What is its selling price? (a) ₹980 (b) ₹408 (c) ₹1428 (d) ₹612
5. 5.If 5x + 9 = 3x + 31, what is x? (a) 20 (b) 12 (c) 13 (d) 11
6. 6.A teacher has 14 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 7 (c) 14 (d) 1
7. 7.A teacher has 10 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 8 (c) 10 (d) 2
8. 8.Two ribbons are 16 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 56 cm (b) 4 cm (c) 8 cm (d) 16 cm
9. 9.What is the average of 57, 69, 74, 66, 47 and 47? (a) 60 (b) 61 (c) 72 (d) 59
10. 10.If 26 June is a Thursday, what day of the week is 4 July? (a) Saturday (b) Thursday (c) Friday (d) Sunday
11. 11.Two ribbons are 28 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 8 cm (c) 28 cm (d) 4 cm
12. 12.Every pair follows the same rule: 3 : 21, 6 : 42, 9 : 63. What is 8 : ? (a) 55 (b) 57 (c) 26 (d) 56
13. 13.Which is the greatest: 0.012, 0.755, 0.87, 0.8? (a) 0.012 (b) 0.755 (c) 0.87 (d) 0.8
14. 14.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 11 days (c) 14 days (d) 15 days
15. 15.If 4x + 16 = 2x + 24, what is x? (a) 6 (b) 5 (c) 20 (d) 4
16. 16.Which fraction is greater: 1/9 or 4/7? (a) 4/7 (b) They are equal (c) 1/9
17. 17.Every pair follows the same rule: 2 : 20, 3 : 21, 8 : 26. What is 6 : ? (a) 24 (b) 25 (c) 60 (d) 23
18. 18.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 12 (b) 41 (c) 22 (d) 31
19. 19.A teacher has 18 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 63 (b) 18 (c) 3 (d) 9
20. 20.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 28 (c) 39 (d) 15
21. 21.A teacher has 44 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 44 (b) 11 (c) 1 (d) 220
22. 22.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
23. 23.If 6x + 6 = 2x + 10, what is x? (a) 4 (b) 2 (c) 1 (d) 3
24. 24.₹320 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹200 (b) ₹120 (c) ₹160 (d) ₹40
25. 25.Two ribbons are 48 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 12 cm (c) 48 cm (d) 6 cm
26. 26.What is the remainder when 274 is divided by 9? (a) 6 (b) 5 (c) 3 (d) 4
27. 27.What is the simple interest on ₹7500 at 2% per year for 3 years? (a) ₹450 (b) ₹600 (c) ₹7950 (d) ₹150
28. 28.In how many years will ₹7500 earn ₹900 simple interest at 4% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
29. 29.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 192 sq cm (c) 28 sq cm (d) 56 sq cm
30. 30.Every pair follows the same rule: 2 : 13, 6 : 17, 7 : 18. What is 3 : ? (a) 15 (b) 13 (c) 16 (d) 14
31. 31.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 102 sq cm (c) 119 sq cm (d) 23 sq cm
32. 32.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
33. 33.Two ribbons are 28 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 28 cm (c) 224 cm (d) 2 cm
34. 34.5/8 + 2/4 = ? (a) 7/12 (b) 5/4 (c) 1 (d) 9/8
35. 35.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 112 (b) 57 (c) 56 (d) 22
36. 36.A shopkeeper buys a toy for ₹560 and sells it for ₹336. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
37. 37.3.83 + 4.4 = ? (a) 8.33 (b) 8.13 (c) 8.23 (d) 4.27
38. 38.A teacher has 15 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 6 (c) 1 (d) 3
39. 39.Two ribbons are 40 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) 5 cm (c) 40 cm (d) 200 cm
40. 40.If 2 October is a Wednesday, what day of the week is 14 October? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad