Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 219 · 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.Two ribbons are 10 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 2 cm (c) 6 cm (d) 1 cm
2. 2.If 18 April is a Thursday, what day of the week is 19 May? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
3. 3.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 30 (b) 10 (c) 9 (d) 63
4. 4.What is the smallest number you must add to 365 to make it divisible by 9? (a) 5 (b) 3 (c) 6 (d) 4
5. 5.A shopkeeper buys a toy for ₹900 and sells it for ₹765. What is his loss percent? (a) 16% (b) 10% (c) 15% (d) 20%
6. 6.If 2x − 10 = 2, what is x? (a) 7 (b) 12 (c) 6 (d) 5
7. 7.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 16 sq cm (d) 63 sq cm
8. 8.Which of these numbers is divisible by 6? (a) 4057 (b) 4065 (c) 4062 (d) 4072
9. 9.If 12 October is a Wednesday, what day of the week is 20 October? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
10. 10.If 5 pens cost ₹125, how much do 7 pens cost? (a) ₹175 (b) ₹200 (c) ₹875 (d) ₹127
11. 11.What is the smallest number you must add to 660 to make it divisible by 9? (a) 3 (b) 5 (c) 6 (d) 7
12. 12.If 5 notebooks cost ₹60, how much do 8 notebooks cost? (a) ₹480 (b) ₹63 (c) ₹108 (d) ₹96
13. 13.A shopkeeper buys a toy for ₹460 and sells it for ₹276. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
14. 14.Today is Wednesday. What day of the week will it be after 92 days? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
15. 15.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 48% (b) 35% (c) 40% (d) 45%
16. 16.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 40 (b) 80 (c) 18 (d) 41
17. 17.If 2 kites cost ₹10, how much do 7 kites cost? (a) ₹35 (b) ₹15 (c) ₹40 (d) ₹70
18. 18.If 2x + 27 = 41, what is x? (a) 34 (b) 14 (c) 8 (d) 7
19. 19.₹1000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹1440 (b) ₹1110 (c) ₹1330 (d) ₹330
20. 20.Which fraction is greater: 1/11 or 1/3? (a) 1/3 (b) They are equal (c) 1/11
21. 21.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 17 cm (c) 11 cm (d) 30 cm
22. 22.Every pair follows the same rule: 2 : 8, 3 : 12, 6 : 24. What is 7 : ? (a) 27 (b) 28 (c) 13 (d) 29
23. 23.What is the units digit of 3^40? (a) 3 (b) 7 (c) 1 (d) 9
24. 24.Which of these numbers is divisible by 4? (a) 888 (b) 893 (c) 891 (d) 885
25. 25.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 126 cm
26. 26.Which fraction is greater: 1/3 or 1/8? (a) 1/3 (b) 1/8 (c) They are equal
27. 27.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 60 min (c) 756 min (d) 126 min
28. 28.What is 5% of 380? (a) 38 (b) 361 (c) 19 (d) 190
29. 29.₹4500 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹4770 (b) ₹1350 (c) ₹5850 (d) ₹6120
30. 30.₹6000 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹7440 (b) ₹7800 (c) ₹1440 (d) ₹6360
31. 31.If 3 notebooks cost ₹18, how much do 4 notebooks cost? (a) ₹19 (b) ₹30 (c) ₹72 (d) ₹24
32. 32.What is the average of all the whole numbers from 58 to 74? (a) 8 (b) 66 (c) 16 (d) 67
33. 33.2.87 + 6.1 = ? (a) 8.97 (b) 3.48 (c) 8.87 (d) 9.07
34. 34.Which is the smallest: 0.035, 0.8, 0.81, 0.714? (a) 0.035 (b) 0.8 (c) 0.81 (d) 0.714
35. 35.If 6 kites cost ₹138, how much do 3 kites cost? (a) ₹92 (b) ₹414 (c) ₹69 (d) ₹135
36. 36.6/8 + 2/6 = ? (a) 25/24 (b) 4/7 (c) 9/8 (d) 13/12
37. 37.If 8 kites cost ₹176, how much do 10 kites cost? (a) ₹220 (b) ₹1760 (c) ₹178 (d) ₹242
38. 38.Two ribbons are 24 cm and 27 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) 216 cm (c) 3 cm (d) 1 cm
39. 39.A bag marked ₹1680 is sold at a 15% discount. What is its selling price? (a) ₹252 (b) ₹1428 (c) ₹1665 (d) ₹1932
40. 40.Today is Monday. What day of the week will it be after 59 days? (a) Thursday (b) Saturday (c) Friday (d) Wednesday

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