Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 907 · 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.Every pair follows the same rule: 4 : 18, 7 : 51, 9 : 83. What is 3 : ? (a) 17 (b) 10 (c) 11 (d) 12
2. 2.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 12 cm (d) 24 cm
3. 3.Which fraction is greater: 3/4 or 6/7? (a) 3/4 (b) They are equal (c) 6/7
4. 4.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 4 cm (c) 54 cm (d) 8 cm
5. 5.₹6500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹7670 (b) ₹1170 (c) ₹6890 (d) ₹8060
6. 6.A bag marked ₹480 is sold at a 25% discount. What is its selling price? (a) ₹120 (b) ₹600 (c) ₹455 (d) ₹360
7. 7.If 7x − 2 = 12, what is x? (a) 2 (b) 14 (c) 3 (d) 1
8. 8.What is the average of all the whole numbers from 39 to 51? (a) 12 (b) 46 (c) 6 (d) 45
9. 9.What is 60% of 120? (a) 720 (b) 72 (c) 48 (d) 144
10. 10.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 5 : ? (a) 92 (b) 5 (c) 126 (d) 125
11. 11.In how many years will ₹7000 earn ₹420 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
12. 12.If 3 May is a Friday, what day of the week is 17 May? (a) Thursday (b) Sunday (c) Friday (d) Saturday
13. 13.Which is the smallest: 0.696, 0.024, 0.76, 0.7? (a) 0.696 (b) 0.024 (c) 0.76 (d) 0.7
14. 14.Which of these numbers is divisible by 3? (a) 580 (b) 582 (c) 586 (d) 583
15. 15.What is 1/2 of 8? (a) 4 (b) 3 (c) 8 (d) 5
16. 16.Which is the greatest: 0.459, 0.59, 0.5, 0.033? (a) 0.459 (b) 0.59 (c) 0.5 (d) 0.033
17. 17.What is the average of all the whole numbers from 42 to 62? (a) 10 (b) 20 (c) 52 (d) 53
18. 18.6.61 + 3.5 = ? (a) 10.11 (b) 6.96 (c) 10.21 (d) 10.01
19. 19.What is the average of all the whole numbers from 6 to 34? (a) 14 (b) 21 (c) 28 (d) 20
20. 20.What is the simple interest on ₹3500 at 2% per year for 5 years? (a) ₹3850 (b) ₹420 (c) ₹350 (d) ₹70
21. 21.What is the simple interest on ₹8500 at 9% per year for 4 years? (a) ₹3060 (b) ₹765 (c) ₹11560 (d) ₹3825
22. 22.A bag marked ₹600 is sold at a 15% discount. What is its selling price? (a) ₹510 (b) ₹585 (c) ₹90 (d) ₹690
23. 23.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) 24 cm (b) 6 cm (c) 36 cm (d) 12 cm
24. 24.If x/3 + 14 = 16, what is x? (a) 34 (b) 90 (c) 6 (d) 2
25. 25.Every pair follows the same rule: 3 : 13, 6 : 16, 7 : 17. What is 8 : ? (a) 18 (b) 20 (c) 17 (d) 19
26. 26.₹117 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹26 (b) ₹91 (c) ₹13 (d) ₹104
27. 27.Which fraction is greater: 2/5 or 4/7? (a) 2/5 (b) 4/7 (c) They are equal
28. 28.If 14 March is a Tuesday, what day of the week is 6 April? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
29. 29.What is the units digit of 7^44? (a) 9 (b) 1 (c) 7 (d) 3
30. 30.What is the simple interest on ₹2500 at 12% per year for 4 years? (a) ₹300 (b) ₹1200 (c) ₹1500 (d) ₹3700
31. 31.What is the simple interest on ₹4000 at 3% per year for 3 years? (a) ₹120 (b) ₹360 (c) ₹4360 (d) ₹480
32. 32.If 16 April is a Thursday, what day of the week is 14 May? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
33. 33.Every pair follows the same rule: 3 : 18, 4 : 24, 9 : 54. What is 8 : ? (a) 48 (b) 49 (c) 23 (d) 47
34. 34.What is 2/7 of 56? (a) 40 (b) 8 (c) 24 (d) 16
35. 35.Which fraction is greater: 1/6 or 1/5? (a) They are equal (b) 1/5 (c) 1/6
36. 36.What is the units digit of 3^32? (a) 3 (b) 9 (c) 1 (d) 7
37. 37.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 1 : ? (a) 9 (b) 1 (c) 25 (d) 2
38. 38.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 12 cm (d) 3 cm
39. 39.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
40. 40.Which fraction is greater: 6/7 or 7/9? (a) They are equal (b) 7/9 (c) 6/7

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