Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 840 · 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 x/3 + 3 = 8, what is x? (a) 15 (b) 5 (c) 33 (d) 21
2. 2.What is the simple interest on ₹5000 at 8% per year for 2 years? (a) ₹800 (b) ₹5800 (c) ₹1200 (d) ₹400
3. 3.A teacher has 25 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 25 (c) 1 (d) 5
4. 4.Which is the greatest: 0.6, 0.537, 0.63, 0.069? (a) 0.6 (b) 0.537 (c) 0.63 (d) 0.069
5. 5.If 2 pens cost ₹50, how much do 3 pens cost? (a) ₹75 (b) ₹51 (c) ₹150 (d) ₹100
6. 6.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
7. 7.What is the average of 31, 24, 24, 25, 27 and 61? (a) 33 (b) 32 (c) 31 (d) 34
8. 8.What is the value of the digit 6 in 46.978? (a) 0.06 (b) 0.6 (c) 6 (d) 60
9. 9.If 1 July is a Monday, what day of the week is 17 July? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
10. 10.7.64 + 9.7 = ? (a) 17.24 (b) 17.34 (c) 8.61 (d) 17.44
11. 11.₹2000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹2600 (b) ₹2800 (c) ₹2200 (d) ₹600
12. 12.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 52 cm (d) 30 cm
13. 13.If 7x + 7 = 3x + 39, what is x? (a) 8 (b) 9 (c) 7 (d) 10
14. 14.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) 14 min (b) 2 min (c) 40 min (d) 20 min
15. 15.₹208 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹130 (b) ₹26 (c) ₹78 (d) ₹104
16. 16.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) 20 (b) 10 (c) 5 (d) 30
17. 17.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
18. 18.What is the simple interest on ₹6000 at 7% per year for 5 years? (a) ₹2100 (b) ₹2520 (c) ₹8100 (d) ₹420
19. 19.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 27 (b) 57 (c) 7 (d) 6
20. 20.What is the simple interest on ₹6000 at 10% per year for 4 years? (a) ₹600 (b) ₹2400 (c) ₹8400 (d) ₹3000
21. 21.Every pair follows the same rule: 3 : 17, 5 : 33, 9 : 89. What is 2 : ? (a) 13 (b) 11 (c) 16 (d) 12
22. 22.₹7500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹1650 (b) ₹9975 (c) ₹9150 (d) ₹8325
23. 23.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 4 days (c) 49 days (d) 9 days
24. 24.What is the average of all the whole numbers from 16 to 40? (a) 29 (b) 28 (c) 24 (d) 12
25. 25.1/4 + 6/7 = ? (a) 7/11 (b) 31/28 (c) 15/14 (d) 8/7
26. 26.Which fraction is greater: 1/3 or 2/5? (a) 2/5 (b) 1/3 (c) They are equal
27. 27.₹6000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹6960 (b) ₹960 (c) ₹7200 (d) ₹6240
28. 28.If 29 October is a Tuesday, what day of the week is 10 November? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
29. 29.If 4x + 30 = 42, what is x? (a) 18 (b) 3 (c) 12 (d) 4
30. 30.Every pair follows the same rule: 3 : 18, 5 : 30, 7 : 42. What is 9 : ? (a) 53 (b) 24 (c) 54 (d) 55
31. 31.Two ribbons are 44 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 55 cm (b) 44 cm (c) 1 cm (d) 11 cm
32. 32.If 4x − 5 = 3, what is x? (a) 2 (b) 1 (c) 3 (d) 8
33. 33.Which is the greatest: 0.039, 0.42, 0.4, 0.371? (a) 0.039 (b) 0.42 (c) 0.4 (d) 0.371
34. 34.Which fraction is greater: 1/8 or 1/7? (a) 1/7 (b) 1/8 (c) They are equal
35. 35.Which fraction is greater: 2/5 or 1/7? (a) 2/5 (b) 1/7 (c) They are equal
36. 36.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 96 sq cm (c) 84 sq cm (d) 19 sq cm
37. 37.What is the units digit of 9^40? (a) 9 (b) 2 (c) 1 (d) 0
38. 38.1.94 + 7.1 = ? (a) 9.04 (b) 8.94 (c) 9.14 (d) 2.65
39. 39.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) 480 (c) 120 (d) 44
40. 40.Two ribbons are 24 cm and 36 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) 72 cm (c) 12 cm (d) 24 cm

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