Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 6 · 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 units digit of 9^20? (a) 2 (b) 0 (c) 9 (d) 1
2. 2.The simple interest on ₹1000 for 2 years is ₹40. What is the rate per year? (a) 3% (b) 4% (c) 1% (d) 2%
3. 3.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 70 (b) 140 (c) 24 (d) 71
4. 4.₹8500 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹10200 (b) ₹8925 (c) ₹9775 (d) ₹1275
5. 5.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 46 sq cm (d) 144 sq cm
6. 6.Which fraction is greater: 4/7 or 6/11? (a) 4/7 (b) They are equal (c) 6/11
7. 7.Today is Thursday. What day of the week will it be after 29 days? (a) Sunday (b) Saturday (c) Thursday (d) Friday
8. 8.Two ribbons are 27 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) 9 cm (b) 27 cm (c) 3 cm (d) 45 cm
9. 9.What is the average of all the whole numbers from 50 to 76? (a) 64 (b) 63 (c) 26 (d) 13
10. 10.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 24 cm (d) 19 cm
11. 11.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 36 (c) 4 (d) 16
12. 12.Today is Tuesday. What day of the week will it be after 82 days? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
13. 13.What is the value of the digit 3 in 31.458? (a) 30 (b) 0.03 (c) 0.3 (d) 3
14. 14.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 60 cm
15. 15.Which of these numbers is divisible by 4? (a) 2532 (b) 2533 (c) 2531 (d) 2537
16. 16.Two ribbons are 30 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 40 cm (c) 10 cm (d) 5 cm
17. 17.Every pair follows the same rule: 5 : 22, 8 : 25, 9 : 26. What is 3 : ? (a) 19 (b) 21 (c) 22 (d) 20
18. 18.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 42 min (c) 432 min (d) 72 min
19. 19.Which fraction is greater: 1/3 or 2/5? (a) 1/3 (b) 2/5 (c) They are equal
20. 20.If 7 kites cost ₹105, how much do 6 kites cost? (a) ₹104 (b) ₹105 (c) ₹90 (d) ₹630
21. 21.What is the simple interest on ₹8000 at 10% per year for 3 years? (a) ₹800 (b) ₹2400 (c) ₹10400 (d) ₹3200
22. 22.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 43 (c) 44 (d) 45
23. 23.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 14 (c) 15 (d) 27
24. 24.Today is Tuesday. What day of the week will it be after 26 days? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
25. 25.Every pair follows the same rule: 3 : 6, 4 : 8, 8 : 16. What is 7 : ? (a) 13 (b) 14 (c) 10 (d) 15
26. 26.Two ribbons are 6 cm and 9 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) 18 cm (c) 6 cm (d) 3 cm
27. 27.Which fraction is greater: 5/12 or 7/9? (a) 5/12 (b) They are equal (c) 7/9
28. 28.A bag marked ₹560 is sold at a 30% discount. What is its selling price? (a) ₹530 (b) ₹168 (c) ₹728 (d) ₹392
29. 29.If 8x − 67 = 21, what is x? (a) 10 (b) 88 (c) 12 (d) 11
30. 30.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 6 cm
31. 31.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 2 min (c) 20 min (d) 14 min
32. 32.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 4 cm (c) 9 cm (d) 2 cm
33. 33.If 26 November is a Wednesday, what day of the week is 16 December? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
34. 34.What is the value of the digit 7 in 27.159? (a) 70 (b) 0.07 (c) 7 (d) 0.7
35. 35.What is the average of 53, 58, 43, 61 and 20? (a) 46 (b) 48 (c) 49 (d) 47
36. 36.If 1 August is a Friday, what day of the week is 14 August? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
37. 37.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 11 sq cm (d) 28 sq cm
38. 38.What is the value of the digit 7 in 94.728? (a) 7 (b) 0.07 (c) 0.007 (d) 0.7
39. 39.If 8 pens cost ₹168, how much do 2 pens cost? (a) ₹42 (b) ₹162 (c) ₹336 (d) ₹63
40. 40.In how many years will ₹5500 earn ₹1100 simple interest at 4% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years

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