Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 968 · 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 teacher has 30 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 3 (c) 18 (d) 30
2. 2.What is the units digit of 8^55? (a) 4 (b) 6 (c) 8 (d) 2
3. 3.1.79 + 7.6 = ? (a) 9.49 (b) 9.39 (c) 2.55 (d) 9.29
4. 4.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 27 cm (d) 54 cm
5. 5.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 21 days (b) 13 days (c) 22 days (d) 1 day
6. 6.What is the average of all the whole numbers from 38 to 62? (a) 50 (b) 51 (c) 12 (d) 24
7. 7.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
8. 8.8.37 + 2.6 = ? (a) 11.07 (b) 10.97 (c) 8.63 (d) 10.87
9. 9.What is 1/2 of 6? (a) 3 (b) 4 (c) 6 (d) 2
10. 10.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 1 day (b) 27 days (c) 17 days (d) 3 days
11. 11.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 90 (b) 21 (c) 30 (d) 60
12. 12.Which is the greatest: 0.083, 0.6, 0.67, 0.528? (a) 0.083 (b) 0.6 (c) 0.67 (d) 0.528
13. 13.Which of these numbers is divisible by 11? (a) 8777 (b) 8793 (c) 8778 (d) 8787
14. 14.What is the units digit of 8^18? (a) 2 (b) 8 (c) 4 (d) 6
15. 15.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 20 (c) 66 (d) 19
16. 16.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 48 cm (d) 4 cm
17. 17.Every pair follows the same rule: 3 : 17, 8 : 22, 9 : 23. What is 5 : ? (a) 19 (b) 20 (c) 18 (d) 21
18. 18.1/9 + 2/9 = ? (a) 4/9 (b) 1/3 (c) 1/6 (d) 2/9
19. 19.8.59 + 4.9 = ? (a) 9.08 (b) 13.39 (c) 13.59 (d) 13.49
20. 20.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
21. 21.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 4 days (c) 3 days (d) 2 days
22. 22.If 8x + 28 = 84, what is x? (a) 8 (b) 56 (c) 7 (d) 14
23. 23.₹9000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹360 (b) ₹9360 (c) ₹9180 (d) ₹9540
24. 24.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 20 days (c) 21 days (d) 5 days
25. 25.Two ribbons are 15 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) 15 cm (b) 60 cm (c) 5 cm (d) 1 cm
26. 26.4.61 + 5.6 = ? (a) 10.21 (b) 10.31 (c) 10.11 (d) 5.17
27. 27.A bag marked ₹1800 is sold at a 30% discount. What is its selling price? (a) ₹1260 (b) ₹2340 (c) ₹1770 (d) ₹540
28. 28.If 6 pens cost ₹78, how much do 2 pens cost? (a) ₹74 (b) ₹26 (c) ₹39 (d) ₹156
29. 29.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 153 sq cm (d) 136 sq cm
30. 30.Which of these numbers is divisible by 6? (a) 1865 (b) 1852 (c) 1854 (d) 1858
31. 31.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
32. 32.₹450 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹250 (b) ₹50 (c) ₹200 (d) ₹225
33. 33.The simple interest on ₹10000 for 4 years is ₹2000. What is the rate per year? (a) 6% (b) 5% (c) 4% (d) 20%
34. 34.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 16 sq cm
35. 35.If 8x + 19 = 7x + 22, what is x? (a) 3 (b) 5 (c) 41 (d) 4
36. 36.Which of these numbers is divisible by 8? (a) 3637 (b) 3642 (c) 3654 (d) 3640
37. 37.Two ribbons are 36 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 24 cm (c) 6 cm (d) 12 cm
38. 38.If 9x + 2 = 4x + 62, what is x? (a) 12 (b) 11 (c) 14 (d) 13
39. 39.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
40. 40.If 8x + 18 = 5x + 30, what is x? (a) 6 (b) 4 (c) 5 (d) 16

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