Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 561 · 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.Which fraction is greater: 3/4 or 3/8? (a) 3/8 (b) They are equal (c) 3/4
2. 2.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 350 (b) 140 (c) 45 (d) 70
3. 3.Today is Sunday. What day of the week will it be after 19 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
4. 4.A shopkeeper buys a toy for ₹640 and sells it for ₹608. What is his loss percent? (a) 10% (b) 32% (c) 6% (d) 5%
5. 5.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 360 (b) 42 (c) 120 (d) 60
6. 6.If 22 May is a Monday, what day of the week is 15 June? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
7. 7.A teacher has 16 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 8 (c) 4 (d) 24
8. 8.Two ribbons are 12 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 12 cm (c) 2 cm (d) 4 cm
9. 9.A shopkeeper buys a toy for ₹180 and sells it for ₹270. What is his profit percent? (a) 45% (b) 90% (c) 50% (d) 55%
10. 10.Today is Friday. What day of the week will it be after 78 days? (a) Sunday (b) Monday (c) Saturday (d) Friday
11. 11.What is 1/2 of 10? (a) 6 (b) 10 (c) 4 (d) 5
12. 12.If 4x + 3 = 11, what is x? (a) 2 (b) 8 (c) 1 (d) 3
13. 13.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 10 (b) 15 (c) 45 (d) 40
14. 14.A bag marked ₹1940 is sold at a 30% discount. What is its selling price? (a) ₹582 (b) ₹2522 (c) ₹1358 (d) ₹1910
15. 15.If 4x + 3 = 15, what is x? (a) 12 (b) 3 (c) 2 (d) 4
16. 16.If 4x + 20 = x + 23, what is x? (a) 3 (b) 2 (c) 4 (d) 1
17. 17.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
18. 18.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
19. 19.If 3 kites cost ₹21, how much do 12 kites cost? (a) ₹252 (b) ₹84 (c) ₹91 (d) ₹30
20. 20.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 22 cm (d) 20 cm
21. 21.₹224 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹112 (b) ₹84 (c) ₹28 (d) ₹140
22. 22.What is 15% of 660? (a) 561 (b) 198 (c) 99 (d) 990
23. 23.If 6x + 12 = 66, what is x? (a) 10 (b) 13 (c) 54 (d) 9
24. 24.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 16 min (c) 60 min (d) 30 min
25. 25.₹215 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹43 (b) ₹86 (c) ₹129 (d) ₹172
26. 26.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) 5 min (c) 45 min (d) 500 min
27. 27.In how many years will ₹2500 earn ₹500 simple interest at 10% per year? (a) 4 years (b) 2 years (c) 1 year (d) 3 years
28. 28.A bag marked ₹1920 is sold at a 10% discount. What is its selling price? (a) ₹2112 (b) ₹1910 (c) ₹1728 (d) ₹192
29. 29.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 15 min (b) 18 min (c) 54 min (d) 3 min
30. 30.What is 20% of 300? (a) 120 (b) 240 (c) 60 (d) 600
31. 31.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 280 (b) 560 (c) 48 (d) 140
32. 32.Which of these numbers is divisible by 4? (a) 1650 (b) 1648 (c) 1645 (d) 1654
33. 33.Which is the smallest: 0.058, 0.673, 0.73, 0.7? (a) 0.058 (b) 0.673 (c) 0.73 (d) 0.7
34. 34.What is the simple interest on ₹4500 at 11% per year for 3 years? (a) ₹1485 (b) ₹1980 (c) ₹495 (d) ₹5985
35. 35.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 10 cm
36. 36.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 25 cm (d) 30 cm
37. 37.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 39 (b) 378 (c) 126 (d) 252
38. 38.Two ribbons are 21 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 1 cm (c) 7 cm (d) 28 cm
39. 39.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
40. 40.Today is Sunday. What day of the week will it be after 41 days? (a) Monday (b) Friday (c) Saturday (d) Sunday

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