Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 201 · 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.Every pair follows the same rule: 2 : 3, 3 : 8, 6 : 35. What is 4 : ? (a) 5 (b) 15 (c) 16 (d) 17
2. 2.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 12 days (c) 19 days (d) 18 days
3. 3.Every pair follows the same rule: 3 : 21, 5 : 35, 7 : 49. What is 2 : ? (a) 20 (b) 13 (c) 14 (d) 15
4. 4.Which is the greatest: 0.496, 0.5, 0.075, 0.58? (a) 0.496 (b) 0.5 (c) 0.075 (d) 0.58
5. 5.₹7500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹2700 (b) ₹10200 (c) ₹8175 (d) ₹10875
6. 6.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 187 cm (d) 56 cm
7. 7.₹9000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹9810 (b) ₹4050 (c) ₹13860 (d) ₹13050
8. 8.If 5x + 11 = x + 55, what is x? (a) 11 (b) 13 (c) 10 (d) 12
9. 9.What is 1/5 of 45? (a) 36 (b) 18 (c) 9 (d) 10
10. 10.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 5 (c) 10 (d) 30
11. 11.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 30 (c) 126 (d) 63
12. 12.Every pair follows the same rule: 3 : 7, 4 : 11, 9 : 31. What is 5 : ? (a) 16 (b) 9 (c) 14 (d) 15
13. 13.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 25 min (b) 150 min (c) 30 min (d) 5 min
14. 14.Every pair follows the same rule: 3 : 6, 4 : 10, 5 : 14. What is 7 : ? (a) 22 (b) 23 (c) 10 (d) 14
15. 15.If 9x + 15 = 3x + 45, what is x? (a) 6 (b) 7 (c) 10 (d) 5
16. 16.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 108 min (c) 3 min (d) 36 min
17. 17.If 13 December is a Friday, what day of the week is 28 December? (a) Sunday (b) Friday (c) Saturday (d) Monday
18. 18.Two ribbons are 15 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 90 cm (c) 15 cm (d) 3 cm
19. 19.Today is Thursday. What day of the week will it be after 25 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
20. 20.If 8x + 1 = 3x + 16, what is x? (a) 3 (b) 5 (c) 4 (d) 2
21. 21.If 9x + 8 = 4x + 38, what is x? (a) 5 (b) 7 (c) 8 (d) 6
22. 22.3.33 + 7.9 = ? (a) 4.12 (b) 11.13 (c) 11.23 (d) 11.33
23. 23.₹98 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹70 (b) ₹49 (c) ₹28 (d) ₹14
24. 24.₹5500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹5775 (b) ₹1100 (c) ₹6875 (d) ₹6600
25. 25.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 96 sq cm (d) 22 sq cm
26. 26.₹2500 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹2800 (b) ₹3400 (c) ₹600 (d) ₹3100
27. 27.Which fraction is greater: 3/7 or 3/11? (a) 3/7 (b) 3/11 (c) They are equal
28. 28.If 5 kites cost ₹25, how much do 2 kites cost? (a) ₹50 (b) ₹15 (c) ₹22 (d) ₹10
29. 29.If x/4 + 1 = 5, what is x? (a) 4 (b) 19 (c) 24 (d) 16
30. 30.If 6x + 20 = 5x + 23, what is x? (a) 43 (b) 4 (c) 3 (d) 5
31. 31.What is the simple interest on ₹2000 at 3% per year for 5 years? (a) ₹60 (b) ₹300 (c) ₹2300 (d) ₹360
32. 32.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 20 sq cm (d) 10 sq cm
33. 33.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
34. 34.What is the average of all the whole numbers from 6 to 18? (a) 13 (b) 11 (c) 12 (d) 6
35. 35.What is the simple interest on ₹6000 at 9% per year for 3 years? (a) ₹540 (b) ₹1620 (c) ₹2160 (d) ₹7620
36. 36.₹8000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹1200 (b) ₹8400 (c) ₹9600 (d) ₹9200
37. 37.7.96 + 6.2 = ? (a) 8.58 (b) 14.26 (c) 14.16 (d) 14.06
38. 38.Which fraction is greater: 2/5 or 1/3? (a) 2/5 (b) They are equal (c) 1/3
39. 39.Every pair follows the same rule: 4 : 8, 5 : 11, 6 : 14. What is 2 : ? (a) 4 (b) 2 (c) 3 (d) 6
40. 40.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm

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