Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 493 · 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.If 2x + 28 = 48, what is x? (a) 10 (b) 11 (c) 20 (d) 38
2. 2.Today is Wednesday. What day of the week will it be after 50 days? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
3. 3.What is the units digit of 9^31? (a) 1 (b) 9 (c) 8 (d) 7
4. 4.What is the remainder when 86 is divided by 7? (a) 2 (b) 1 (c) 3 (d) 5
5. 5.Every pair follows the same rule: 2 : 11, 3 : 13, 7 : 21. What is 4 : ? (a) 16 (b) 15 (c) 14 (d) 13
6. 6.What is the units digit of 3^50? (a) 3 (b) 7 (c) 1 (d) 9
7. 7.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 8 : ? (a) 20 (b) 32 (c) 62 (d) 64
8. 8.Which of these numbers is divisible by 8? (a) 3784 (b) 3779 (c) 3799 (d) 3791
9. 9.What is the remainder when 127 is divided by 3? (a) 1 (b) 0 (c) 2
10. 10.What is the smallest number you must add to 221 to make it divisible by 12? (a) 7 (b) 6 (c) 8 (d) 5
11. 11.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 9 : ? (a) 71 (b) 15 (c) 81 (d) 27
12. 12.If 20 March is a Wednesday, what day of the week is 4 April? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
13. 13.6 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 31 days (b) 14 days (c) 6 days (d) 30 days
14. 14.₹234 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹117 (b) ₹39 (c) ₹234 (d) ₹195
15. 15.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 5 min (c) 700 min (d) 140 min
16. 16.A teacher has 36 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 36 (c) 6 (d) 12
17. 17.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 32 (b) 38 (c) 62 (d) 46
18. 18.Every pair follows the same rule: 4 : 23, 7 : 56, 9 : 88. What is 8 : ? (a) 70 (b) 72 (c) 71 (d) 27
19. 19.₹3000 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹3150 (b) ₹3900 (c) ₹750 (d) ₹3750
20. 20.₹574 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹205 (b) ₹41 (c) ₹369 (d) ₹287
21. 21.Which fraction is greater: 5/9 or 5/7? (a) 5/9 (b) 5/7 (c) They are equal
22. 22.5 workers can build a wall in 14 days. How many days will 10 workers take, working at the same speed? (a) 19 days (b) 9 days (c) 7 days (d) 28 days
23. 23.Every pair follows the same rule: 4 : 15, 5 : 24, 9 : 80. What is 6 : ? (a) 35 (b) 38 (c) 17 (d) 36
24. 24.1/2 + 2/7 = ? (a) 5/7 (b) 1/3 (c) 11/14 (d) 6/7
25. 25.What is the simple interest on ₹9000 at 3% per year for 2 years? (a) ₹540 (b) ₹810 (c) ₹9540 (d) ₹270
26. 26.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 1 (c) 6 (d) 3
27. 27.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 120 (b) 300 (c) 60 (d) 35
28. 28.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) 12 min (b) 10 min (c) 24 min (d) 2 min
29. 29.Two ribbons are 20 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 100 cm (c) 1 cm (d) 20 cm
30. 30.9 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 18 days (c) 19 days (d) 13 days
31. 31.If 6x + 14 = 2x + 58, what is x? (a) 13 (b) 18 (c) 11 (d) 12
32. 32.Two ribbons are 22 cm and 55 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) 33 cm (c) 11 cm (d) 22 cm
33. 33.5.08 + 4.9 = ? (a) 9.88 (b) 5.57 (c) 9.98 (d) 10.08
34. 34.Which is the greatest: 0.455, 0.58, 0.5, 0.072? (a) 0.455 (b) 0.58 (c) 0.5 (d) 0.072
35. 35.1/9 + 2/4 = ? (a) 23/36 (b) 11/18 (c) 3/13 (d) 7/12
36. 36.If x/2 + 9 = 11, what is x? (a) 40 (b) 13 (c) 2 (d) 4
37. 37.What is the smallest number you must add to 638 to make it divisible by 9? (a) 3 (b) 8 (c) 2 (d) 1
38. 38.The simple interest on ₹9500 for 4 years is ₹2660. What is the rate per year? (a) 8% (b) 7% (c) 28% (d) 6%
39. 39.If 7 notebooks cost ₹98, how much do 2 notebooks cost? (a) ₹196 (b) ₹93 (c) ₹42 (d) ₹28
40. 40.What is 2/3 of 6? (a) 2 (b) 6 (c) 5 (d) 4

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