Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 212 · 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 12 children or among 28 children, with none left over? (a) 336 (b) 40 (c) 168 (d) 84
2. 2.Every pair follows the same rule: 4 : 24, 6 : 26, 9 : 29. What is 7 : ? (a) 27 (b) 28 (c) 42 (d) 26
3. 3.Two ribbons are 27 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 27 cm (b) 3 cm (c) 36 cm (d) 9 cm
4. 4.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 27 (b) 18 (c) 51 (d) 42
5. 5.If 5 mangoes cost ₹105, how much do 2 mangoes cost? (a) ₹210 (b) ₹102 (c) ₹42 (d) ₹63
6. 6.If x/4 + 15 = 18, what is x? (a) 3 (b) 57 (c) 12 (d) 132
7. 7.If 11 July is a Tuesday, what day of the week is 19 July? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
8. 8.Every pair follows the same rule: 2 : 15, 4 : 17, 5 : 18. What is 3 : ? (a) 17 (b) 18 (c) 15 (d) 16
9. 9.Today is Thursday. What day of the week will it be after 44 days? (a) Saturday (b) Monday (c) Sunday (d) Friday
10. 10.What is 10% of 300? (a) 270 (b) 30 (c) 300 (d) 60
11. 11.Today is Tuesday. What day of the week will it be after 25 days? (a) Sunday (b) Friday (c) Monday (d) Saturday
12. 12.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 64 (b) 36 (c) 92 (d) 44
13. 13.What is the average of all the whole numbers from 59 to 69? (a) 10 (b) 5 (c) 65 (d) 64
14. 14.If 6 mangoes cost ₹84, how much do 11 mangoes cost? (a) ₹168 (b) ₹924 (c) ₹154 (d) ₹89
15. 15.4 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 21 days (c) 20 days (d) 14 days
16. 16.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 112 (b) 56 (c) 36 (d) 224
17. 17.If 7 mangoes cost ₹175, how much do 9 mangoes cost? (a) ₹1575 (b) ₹177 (c) ₹250 (d) ₹225
18. 18.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 375 min (b) 75 min (c) 5 min (d) 40 min
19. 19.What is 2/3 of 30? (a) 21 (b) 20 (c) 30 (d) 10
20. 20.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 26 cm (c) 13 cm (d) 22 cm
21. 21.3/6 + 1/2 = ? (a) 1/2 (b) 1 (c) 5/6 (d) 7/6
22. 22.If 3x + 1 = 13, what is x? (a) 3 (b) 5 (c) 12 (d) 4
23. 23.If 6 pens cost ₹24, how much do 2 pens cost? (a) ₹48 (b) ₹12 (c) ₹20 (d) ₹8
24. 24.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 77 (c) 45 (d) 40
25. 25.9 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 14 days (b) 6 days (c) 19 days (d) 18 days
26. 26.Two ribbons are 60 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) 60 cm (b) 10 cm (c) 5 cm (d) 420 cm
27. 27.A teacher has 6 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 6 (c) 8 (d) 1
28. 28.Two ribbons are 45 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) 45 cm (b) 9 cm (c) 3 cm (d) 27 cm
29. 29.What is the average of 45, 39, 46, 30, 48 and 8? (a) 36 (b) 37 (c) 35 (d) 38
30. 30.The simple interest on ₹5500 for 4 years is ₹660. What is the rate per year? (a) 12% (b) 3% (c) 4% (d) 2%
31. 31.Today is Tuesday. What day of the week will it be after 17 days? (a) Thursday (b) Friday (c) Saturday (d) Sunday
32. 32.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 9 days (c) 25 days (d) 17 days
33. 33.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
34. 34.Every pair follows the same rule: 3 : 12, 5 : 28, 8 : 67. What is 4 : ? (a) 19 (b) 16 (c) 15 (d) 13
35. 35.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 4 : ? (a) 64 (b) 16 (c) 90 (d) 10
36. 36.If 13 July is a Thursday, what day of the week is 16 August? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
37. 37.A teacher has 30 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 20 (c) 5 (d) 10
38. 38.A shopkeeper buys a toy for ₹360 and sells it for ₹468. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
39. 39.₹308 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹28 (b) ₹140 (c) ₹168 (d) ₹154
40. 40.In how many years will ₹3500 earn ₹700 simple interest at 10% per year? (a) 4 years (b) 1 year (c) 2 years (d) 3 years

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