Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 282 · 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 6 kites cost ₹24, how much do 11 kites cost? (a) ₹29 (b) ₹264 (c) ₹44 (d) ₹48
2. 2.What is the units digit of 8^21? (a) 4 (b) 6 (c) 8 (d) 2
3. 3.What is the units digit of 3^46? (a) 7 (b) 3 (c) 1 (d) 9
4. 4.If 4x + 13 = x + 43, what is x? (a) 11 (b) 12 (c) 10 (d) 6
5. 5.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 126 (c) 42 (d) 84
6. 6.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 30 (c) 20 (d) 10
7. 7.₹117 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹45 (b) ₹9 (c) ₹72 (d) ₹81
8. 8.Which fraction is greater: 1/7 or 9/10? (a) 1/7 (b) 9/10 (c) They are equal
9. 9.Every pair follows the same rule: 2 : 6, 7 : 51, 9 : 83. What is 6 : ? (a) 38 (b) 10 (c) 35 (d) 18
10. 10.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 14 days (c) 12 days (d) 15 days
11. 11.What is 10% of 920? (a) 184 (b) 828 (c) 92 (d) 920
12. 12.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 72 cm (d) 40 cm
13. 13.In how many years will ₹4500 earn ₹1350 simple interest at 6% per year? (a) 5 years (b) 6 years (c) 4 years (d) 10 years
14. 14.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 108 min (b) 3 min (c) 36 min (d) 21 min
15. 15.₹10000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹15400 (b) ₹10900 (c) ₹14500 (d) ₹4500
16. 16.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 100 min (b) 45 min (c) 5 min (d) 500 min
17. 17.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 20 (b) 46 (c) 28 (d) 30
18. 18.Which fraction is greater: 3/4 or 4/5? (a) They are equal (b) 4/5 (c) 3/4
19. 19.What is the units digit of 3^36? (a) 3 (b) 1 (c) 9 (d) 7
20. 20.A bag marked ₹1480 is sold at a 40% discount. What is its selling price? (a) ₹2072 (b) ₹592 (c) ₹1440 (d) ₹888
21. 21.If 3x + 13 = 2x + 14, what is x? (a) 2 (b) 3 (c) 27 (d) 1
22. 22.Today is Thursday. What day of the week will it be after 58 days? (a) Friday (b) Monday (c) Sunday (d) Saturday
23. 23.What is the remainder when 139 is divided by 9? (a) 4 (b) 3 (c) 5 (d) 6
24. 24.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 4 (b) 10 (c) 13 (d) 19
25. 25.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 252 (b) 39 (c) 378 (d) 126
26. 26.What is the average of 58, 59, 63 and 60? (a) 59 (b) 60 (c) 61 (d) 80
27. 27.2/8 + 4/6 = ? (a) 3/7 (b) 23/24 (c) 11/12 (d) 7/8
28. 28.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
29. 29.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 22 days (b) 13 days (c) 21 days (d) 5 days
30. 30.If 12 June is a Saturday, what day of the week is 16 July? (a) Sunday (b) Thursday (c) Saturday (d) Friday
31. 31.What is the value of the digit 3 in 83.256? (a) 0.03 (b) 3 (c) 0.3 (d) 30
32. 32.6.21 + 6.3 = ? (a) 12.61 (b) 6.84 (c) 12.51 (d) 12.41
33. 33.Which fraction is greater: 9/10 or 4/5? (a) 4/5 (b) They are equal (c) 9/10
34. 34.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 756 (c) 252 (d) 126
35. 35.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 23 (c) 14 (d) 20
36. 36.Two ribbons are 20 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 5 cm (c) 10 cm (d) 60 cm
37. 37.6.23 + 9.2 = ? (a) 15.53 (b) 7.15 (c) 15.43 (d) 15.33
38. 38.If 3x + 28 = 64, what is x? (a) 11 (b) 13 (c) 36 (d) 12
39. 39.9 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 19 days (b) 14 days (c) 18 days (d) 6 days
40. 40.Two ribbons are 24 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 6 cm (c) 36 cm (d) 12 cm

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