Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 768 · 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 of these numbers is divisible by 4? (a) 2409 (b) 2404 (c) 2406 (d) 2403
2. 2.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 15 (b) 63 (c) 16 (d) 30
3. 3.Two ribbons are 33 cm and 88 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) 11 cm (c) 33 cm (d) 1 cm
4. 4.What is the units digit of 3^24? (a) 1 (b) 9 (c) 3 (d) 7
5. 5.Which is the smallest: 0.273, 0.3, 0.043, 0.39? (a) 0.273 (b) 0.3 (c) 0.043 (d) 0.39
6. 6.A teacher has 24 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 6 (c) 30 (d) 24
7. 7.What is the simple interest on ₹5500 at 11% per year for 5 years? (a) ₹3630 (b) ₹3025 (c) ₹8525 (d) ₹605
8. 8.2/3 + 1/2 = ? (a) 4/3 (b) 3/5 (c) 1 (d) 7/6
9. 9.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
10. 10.Which fraction is greater: 1/6 or 6/11? (a) They are equal (b) 6/11 (c) 1/6
11. 11.What is the average of all the whole numbers from 52 to 64? (a) 12 (b) 6 (c) 59 (d) 58
12. 12.What is the value of the digit 3 in 51.832? (a) 0.003 (b) 0.3 (c) 3 (d) 0.03
13. 13.Two ribbons are 55 cm and 88 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) 11 cm (c) 1 cm (d) 33 cm
14. 14.₹100 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹30 (b) ₹10 (c) ₹50 (d) ₹70
15. 15.A bag marked ₹580 is sold at a 10% discount. What is its selling price? (a) ₹58 (b) ₹638 (c) ₹522 (d) ₹570
16. 16.What is the simple interest on ₹5000 at 6% per year for 2 years? (a) ₹5600 (b) ₹300 (c) ₹900 (d) ₹600
17. 17.Two ribbons are 8 cm and 18 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) 2 cm (c) 10 cm (d) 1 cm
18. 18.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 18 (c) 1 (d) 3
19. 19.Every pair follows the same rule: 6 : 38, 7 : 43, 9 : 53. What is 8 : ? (a) 47 (b) 48 (c) 49 (d) 40
20. 20.What is the simple interest on ₹5000 at 9% per year for 3 years? (a) ₹6350 (b) ₹450 (c) ₹1800 (d) ₹1350
21. 21.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 5 days (c) 4 days (d) 3 days
22. 22.If 3 March is a Monday, what day of the week is 13 March? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
23. 23.If 2x + 6 = 10, what is x? (a) 4 (b) 2 (c) 8 (d) 3
24. 24.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) 2 min (b) 20 min (c) 14 min (d) 40 min
25. 25.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 24 min (c) 12 min (d) 2 min
26. 26.If 2 kites cost ₹20, how much do 9 kites cost? (a) ₹27 (b) ₹100 (c) ₹90 (d) ₹180
27. 27.If 8x + 6 = 54, what is x? (a) 6 (b) 7 (c) 5 (d) 48
28. 28.What is 2/9 of 90? (a) 70 (b) 10 (c) 20 (d) 30
29. 29.Which fraction is greater: 2/3 or 2/7? (a) They are equal (b) 2/7 (c) 2/3
30. 30.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 47 (c) 12 (d) 57
31. 31.Today is Thursday. What day of the week will it be after 29 days? (a) Sunday (b) Friday (c) Saturday (d) Thursday
32. 32.The simple interest on ₹6000 for 3 years is ₹1800. What is the rate per year? (a) 9% (b) 10% (c) 11% (d) 30%
33. 33.A teacher has 16 pencils and 24 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) 48
34. 34.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 5% (b) 6% (c) 14% (d) 10%
35. 35.What is the average of 40, 29, 29 and 46? (a) 35 (b) 48 (c) 36 (d) 37
36. 36.A bag marked ₹1200 is sold at a 15% discount. What is its selling price? (a) ₹1020 (b) ₹1185 (c) ₹1380 (d) ₹180
37. 37.What is the average of 28, 24, 36 and 56? (a) 37 (b) 48 (c) 35 (d) 36
38. 38.If 6x + 20 = 2x + 24, what is x? (a) 11 (b) 2 (c) 3 (d) 1
39. 39.Two ribbons are 6 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 1 cm (d) 9 cm
40. 40.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 18 cm

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