Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 685 · 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.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 68 cm
2. 2.Today is Tuesday. What day of the week will it be after 14 days? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
3. 3.What is the smallest number you must add to 306 to make it divisible by 11? (a) 3 (b) 9 (c) 1 (d) 2
4. 4.Today is Sunday. What day of the week will it be after 89 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
5. 5.If 5x + 24 = 99, what is x? (a) 14 (b) 75 (c) 16 (d) 15
6. 6.Every pair follows the same rule: 4 : 12, 7 : 15, 8 : 16. What is 6 : ? (a) 15 (b) 18 (c) 14 (d) 13
7. 7.A bag marked ₹280 is sold at a 25% discount. What is its selling price? (a) ₹255 (b) ₹210 (c) ₹350 (d) ₹70
8. 8.What is the simple interest on ₹9500 at 4% per year for 5 years? (a) ₹2280 (b) ₹380 (c) ₹11400 (d) ₹1900
9. 9.What is the value of the digit 7 in 73.285? (a) 0.7 (b) 70 (c) 7 (d) 0.07
10. 10.If 5x + 11 = 3x + 23, what is x? (a) 6 (b) 7 (c) 8 (d) 17
11. 11.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 1 : ? (a) 2 (b) 9 (c) 1 (d) 25
12. 12.Which of these numbers is divisible by 6? (a) 3344 (b) 3339 (c) 3350 (d) 3342
13. 13.What is the units digit of 8^32? (a) 4 (b) 2 (c) 6 (d) 8
14. 14.Which fraction is greater: 2/5 or 6/7? (a) 6/7 (b) They are equal (c) 2/5
15. 15.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 5 cm (c) 10 cm (d) 6 cm
16. 16.Today is Monday. What day of the week will it be after 52 days? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
17. 17.If 9 July is a Friday, what day of the week is 19 July? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
18. 18.Today is Monday. What day of the week will it be after 49 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
19. 19.Two ribbons are 21 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 84 cm (b) 21 cm (c) 7 cm (d) 1 cm
20. 20.If 6x + 7 = 4x + 9, what is x? (a) 3 (b) 8 (c) 1 (d) 2
21. 21.Two ribbons are 21 cm and 24 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) 168 cm (c) 3 cm (d) 1 cm
22. 22.If 7x + 17 = 5x + 37, what is x? (a) 27 (b) 11 (c) 10 (d) 12
23. 23.What is 15% of 40? (a) 34 (b) 60 (c) 6 (d) 12
24. 24.5.46 + 6.8 = ? (a) 12.16 (b) 12.26 (c) 6.14 (d) 12.36
25. 25.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 6 (b) 35 (c) 18 (d) 23
26. 26.5.71 + 3.1 = ? (a) 6.02 (b) 8.71 (c) 8.81 (d) 8.91
27. 27.A teacher has 77 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 22 (b) 77 (c) 11 (d) 1
28. 28.Which is the greatest: 0.59, 0.075, 0.459, 0.5? (a) 0.59 (b) 0.075 (c) 0.459 (d) 0.5
29. 29.₹3500 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹3850 (b) ₹4550 (c) ₹1050 (d) ₹4900
30. 30.What is the average of 42, 37, 50 and 67? (a) 50 (b) 48 (c) 49 (d) 51
31. 31.What is the simple interest on ₹4000 at 8% per year for 2 years? (a) ₹960 (b) ₹4640 (c) ₹640 (d) ₹320
32. 32.What is the average of all the whole numbers from 7 to 41? (a) 34 (b) 24 (c) 17 (d) 25
33. 33.If 5x − 58 = 17, what is x? (a) 15 (b) 14 (c) 75 (d) 16
34. 34.A shopkeeper buys a toy for ₹680 and sells it for ₹850. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
35. 35.Every pair follows the same rule: 4 : 16, 5 : 25, 7 : 49. What is 9 : ? (a) 21 (b) 73 (c) 81 (d) 36
36. 36.If 6x + 21 = 99, what is x? (a) 78 (b) 13 (c) 20 (d) 14
37. 37.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 8 days (c) 6 days (d) 7 days
38. 38.5/7 + 2/3 = ? (a) 10/7 (b) 4/3 (c) 29/21 (d) 7/10
39. 39.A bag marked ₹1120 is sold at a 15% discount. What is its selling price? (a) ₹1105 (b) ₹168 (c) ₹1288 (d) ₹952
40. 40.8 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 7 days (d) 4 days

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