Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 42 · 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 smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 25 (b) 24 (c) 48 (d) 14
2. 2.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 152 sq cm (d) 133 sq cm
3. 3.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 240 (b) 120 (c) 44 (d) 480
4. 4.Two ribbons are 63 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) 504 cm (c) 63 cm (d) 3 cm
5. 5.What is the units digit of 9^19? (a) 7 (b) 8 (c) 9 (d) 1
6. 6.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
7. 7.What is 40% of 460? (a) 276 (b) 1840 (c) 368 (d) 184
8. 8.Which fraction is greater: 2/11 or 5/8? (a) 5/8 (b) 2/11 (c) They are equal
9. 9.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 5 (b) 57 (c) 29 (d) 33
10. 10.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹384 (b) ₹64 (c) ₹256 (d) ₹300
11. 11.If x/2 + 8 = 20, what is x? (a) 56 (b) 32 (c) 12 (d) 24
12. 12.What is the smallest number you must add to 727 to make it divisible by 9? (a) 2 (b) 3 (c) 7 (d) 1
13. 13.Two ribbons are 36 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 48 cm (c) 36 cm (d) 12 cm
14. 14.If 5x − 21 = 34, what is x? (a) 12 (b) 11 (c) 10 (d) 55
15. 15.If 8 notebooks cost ₹184, how much do 10 notebooks cost? (a) ₹186 (b) ₹1840 (c) ₹230 (d) ₹253
16. 16.Today is Tuesday. What day of the week will it be after 75 days? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
17. 17.If 5 December is a Tuesday, what day of the week is 20 December? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
18. 18.If 4x + 12 = x + 15, what is x? (a) 9 (b) 2 (c) 1 (d) 3
19. 19.A shopkeeper buys a toy for ₹760 and sells it for ₹1064. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
20. 20.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 240 min (c) 60 min (d) 32 min
21. 21.9.75 + 9.2 = ? (a) 19.05 (b) 18.95 (c) 18.85 (d) 10.67
22. 22.The simple interest on ₹10000 for 4 years is ₹1200. What is the rate per year? (a) 12% (b) 3% (c) 2% (d) 4%
23. 23.If 20 March is a Friday, what day of the week is 4 April? (a) Saturday (b) Friday (c) Sunday (d) Monday
24. 24.Which fraction is greater: 6/7 or 7/12? (a) 6/7 (b) They are equal (c) 7/12
25. 25.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 3 min (c) 63 min (d) 189 min
26. 26.If 9x − 8 = 73, what is x? (a) 81 (b) 10 (c) 9 (d) 8
27. 27.6.86 + 4.7 = ? (a) 11.56 (b) 7.33 (c) 11.46 (d) 11.66
28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 21 (b) 30 (c) 60 (d) 90
29. 29.8.82 + 4.3 = ? (a) 13.22 (b) 9.25 (c) 13.02 (d) 13.12
30. 30.What is the value of the digit 3 in 51.683? (a) 0.3 (b) 0.003 (c) 3 (d) 0.03
31. 31.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
32. 32.If x/2 + 12 = 19, what is x? (a) 26 (b) 62 (c) 14 (d) 7
33. 33.₹3000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹630 (b) ₹3630 (c) ₹3840 (d) ₹3210
34. 34.What is the average of 14, 26, 21, 16 and 63? (a) 29 (b) 35 (c) 27 (d) 28
35. 35.8 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 15 days (b) 16 days (c) 17 days (d) 13 days
36. 36.What is 25% of 720? (a) 360 (b) 180 (c) 1800 (d) 540
37. 37.If 18 October is a Saturday, what day of the week is 7 November? (a) Saturday (b) Sunday (c) Friday (d) Thursday
38. 38.If 3 pens cost ₹18, how much do 8 pens cost? (a) ₹23 (b) ₹144 (c) ₹54 (d) ₹48
39. 39.Every pair follows the same rule: 2 : 3, 5 : 24, 8 : 63. What is 3 : ? (a) 9 (b) 4 (c) 7 (d) 8
40. 40.If 8 December is a Saturday, what day of the week is 17 December? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday

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