Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 579 · 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.What is the simple interest on ₹1000 at 7% per year for 4 years? (a) ₹1280 (b) ₹280 (c) ₹70 (d) ₹350
2. 2.Which fraction is greater: 4/5 or 3/8? (a) 3/8 (b) They are equal (c) 4/5
3. 3.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 12 min (c) 10 min (d) 2 min
4. 4.1/4 + 1/2 = ? (a) 1/3 (b) 1/2 (c) 1 (d) 3/4
5. 5.Which fraction is greater: 1/3 or 4/9? (a) 4/9 (b) 1/3 (c) They are equal
6. 6.What is the average of 45, 49, 50, 60 and 51? (a) 52 (b) 51 (c) 53 (d) 50
7. 7.5.21 + 3.3 = ? (a) 8.61 (b) 8.51 (c) 8.41 (d) 5.54
8. 8.If 8 kites cost ₹64, how much do 6 kites cost? (a) ₹48 (b) ₹56 (c) ₹62 (d) ₹384
9. 9.Which fraction is greater: 2/3 or 3/4? (a) 2/3 (b) 3/4 (c) They are equal
10. 10.What is 4/7 of 42? (a) 24 (b) 18 (c) 30 (d) 6
11. 11.1.77 + 3.1 = ? (a) 2.08 (b) 4.77 (c) 4.97 (d) 4.87
12. 12.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 140 min (c) 24 min (d) 70 min
13. 13.What is the value of the digit 5 in 17.356? (a) 5 (b) 0.5 (c) 0.005 (d) 0.05
14. 14.Two ribbons are 22 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 55 cm (b) 11 cm (c) 22 cm (d) 1 cm
15. 15.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 77 sq cm (c) 18 sq cm (d) 36 sq cm
16. 16.Which fraction is greater: 5/8 or 3/4? (a) 3/4 (b) They are equal (c) 5/8
17. 17.What is 1/4 of 8? (a) 6 (b) 4 (c) 2 (d) 3
18. 18.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 49 cm (c) 30 cm (d) 209 cm
19. 19.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 42 min (c) 360 min (d) 60 min
20. 20.If 5x + 20 = 3x + 32, what is x? (a) 26 (b) 6 (c) 7 (d) 8
21. 21.Every pair follows the same rule: 3 : 8, 6 : 35, 9 : 80. What is 5 : ? (a) 10 (b) 24 (c) 25 (d) 20
22. 22.In how many years will ₹2500 earn ₹1375 simple interest at 11% per year? (a) 5 years (b) 10 years (c) 4 years (d) 6 years
23. 23.A teacher has 63 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 18 (c) 63 (d) 3
24. 24.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
25. 25.What is the average of 41, 58, 66, 43, 66 and 44? (a) 55 (b) 54 (c) 53 (d) 52
26. 26.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 29? (a) 53 (b) 37 (c) 32 (d) 29
27. 27.Which is the greatest: 0.64, 0.582, 0.6, 0.043? (a) 0.64 (b) 0.582 (c) 0.6 (d) 0.043
28. 28.2/9 + 1/2 = ? (a) 13/18 (b) 2/3 (c) 7/9 (d) 3/11
29. 29.What is the remainder when 130 is divided by 3? (a) 0 (b) 2 (c) 1
30. 30.If x/2 + 15 = 23, what is x? (a) 8 (b) 76 (c) 16 (d) 31
31. 31.Which fraction is greater: 1/4 or 2/5? (a) They are equal (b) 2/5 (c) 1/4
32. 32.What is the average of 21, 34, 14, 19 and 52? (a) 27 (b) 29 (c) 28 (d) 35
33. 33.4/9 + 1/6 = ? (a) 1/3 (b) 2/3 (c) 11/18 (d) 5/9
34. 34.Which fraction is greater: 1/3 or 3/5? (a) 1/3 (b) They are equal (c) 3/5
35. 35.In how many years will ₹3000 earn ₹450 simple interest at 3% per year? (a) 6 years (b) 4 years (c) 5 years (d) 10 years
36. 36.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 216 (b) 30 (c) 36 (d) 72
37. 37.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 168 sq cm (d) 154 sq cm
38. 38.The simple interest on ₹1000 for 2 years is ₹180. What is the rate per year? (a) 18% (b) 10% (c) 8% (d) 9%
39. 39.If 7 kites cost ₹28, how much do 11 kites cost? (a) ₹308 (b) ₹48 (c) ₹32 (d) ₹44
40. 40.9.87 + 3.8 = ? (a) 10.25 (b) 13.57 (c) 13.67 (d) 13.77

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