Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 993 · 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 11 July is a Monday, what day of the week is 2 August? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
2. 2.Every pair follows the same rule: 2 : 7, 6 : 39, 9 : 84. What is 5 : ? (a) 29 (b) 10 (c) 28 (d) 24
3. 3.What is the smallest number you must add to 742 to make it divisible by 11? (a) 6 (b) 8 (c) 7 (d) 5
4. 4.₹7000 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹700 (b) ₹7700 (c) ₹7840 (d) ₹7140
5. 5.If 9 kites cost ₹45, how much do 3 kites cost? (a) ₹15 (b) ₹135 (c) ₹39 (d) ₹20
6. 6.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 5 cm
7. 7.In how many years will ₹9000 earn ₹810 simple interest at 3% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
8. 8.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 75%
9. 9.₹476 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹306 (b) ₹34 (c) ₹170 (d) ₹238
10. 10.What is the smallest number you must add to 44 to make it divisible by 3? (a) 1 (b) 2
11. 11.In how many years will ₹8500 earn ₹850 simple interest at 2% per year? (a) 4 years (b) 10 years (c) 5 years (d) 6 years
12. 12.What is the average of 10, 27, 13, 25 and 50? (a) 24 (b) 25 (c) 26 (d) 27
13. 13.If 6 notebooks cost ₹78, how much do 9 notebooks cost? (a) ₹130 (b) ₹81 (c) ₹702 (d) ₹117
14. 14.Two ribbons are 72 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 504 cm (b) 6 cm (c) 72 cm (d) 12 cm
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) 140 min (b) 55 min (c) 700 min (d) 5 min
16. 16.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 21 sq cm (d) 9 sq cm
17. 17.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 360 min (c) 6 min (d) 42 min
18. 18.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 76% (b) 15% (c) 5% (d) 10%
19. 19.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 51 (b) 43 (c) 12 (d) 41
20. 20.In how many years will ₹1000 earn ₹200 simple interest at 4% per year? (a) 5 years (b) 10 years (c) 4 years (d) 6 years
21. 21.What is the value of the digit 6 in 21.864? (a) 0.6 (b) 0.06 (c) 6 (d) 0.006
22. 22.Today is Monday. What day of the week will it be after 57 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
23. 23.₹242 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹66 (b) ₹176 (c) ₹121 (d) ₹22
24. 24.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
25. 25.What is 10% of 140? (a) 28 (b) 140 (c) 126 (d) 14
26. 26.A shopkeeper buys a toy for ₹240 and sells it for ₹180. What is his loss percent? (a) 30% (b) 60% (c) 25% (d) 20%
27. 27.If 7 pens cost ₹126, how much do 6 pens cost? (a) ₹126 (b) ₹125 (c) ₹108 (d) ₹756
28. 28.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 84 cm (c) 8 cm (d) 14 cm
29. 29.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 24 sq cm (d) 12 sq cm
30. 30.5/8 + 5/8 = ? (a) 11/8 (b) 5/4 (c) 5/8 (d) 9/8
31. 31.Every pair follows the same rule: 2 : 1, 4 : 13, 9 : 78. What is 8 : ? (a) 60 (b) 65 (c) 61 (d) 62
32. 32.₹126 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹81 (b) ₹45 (c) ₹9 (d) ₹63
33. 33.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
34. 34.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
35. 35.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 48 sq cm (d) 14 sq cm
36. 36.Today is Tuesday. What day of the week will it be after 90 days? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
37. 37.Today is Friday. What day of the week will it be after 15 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
38. 38.In how many years will ₹3000 earn ₹180 simple interest at 2% per year? (a) 4 years (b) 3 years (c) 6 years (d) 2 years
39. 39.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 29 (b) 8 (c) 22 (d) 43
40. 40.If 6 kites cost ₹30, how much do 8 kites cost? (a) ₹40 (b) ₹32 (c) ₹45 (d) ₹240

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