IMO- Mathematics Olympiad (SOF) Class 8: Questions 460 - 465 of 1030
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Question number: 460
Question
A hoop is resting vertically at staircase as shown in the diagram. AB = 8 cm and BC = 4 cm. The radius of the hoop is________.
A Hoop Resting Vertically at Stair Case
Find out the radius of the hoop that is resting vertically at stair case
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 12 cm |
|
| b. | 10 cm |
|
| c. | 14 cm |
|
| d. | 11 cm |
|
Question number: 461
Question
The radius of a cylinder is doubled but its lateral surface area is unchanged. Then its height must be________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Constant |
|
| b. | Halved |
|
| c. | Doubled |
|
| d. | Tripled |
|
Question number: 462
Question
Between a square of perimeter 36 cm and a circle of circumference 36 cm, which figure has larger area and by how much?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Circle, 22 |
|
| b. | Square, 22 |
|
| c. | Circle, 26 |
|
| d. | None of the above |
|
Question number: 463
Question
Two rectangles ABCD and DBEF are as shown in the figure. The area of rectangle DBEF in square units is________.
Two Rectangles ABCD and DBEF with AB = 5 and AD = 12 Are Given
Find out the area of DBEF using given measure (AB = 5 and AD = 12)
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 40 |
|
| b. | 90 |
|
| c. | 60 |
|
| d. | 70 |
|
Question number: 464
Question
A right cylindrical vessel is full with water, how many right cones having half diameter and height as that of right cylinder will be needed to store that water?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 12 |
|
| b. | 25 |
|
| c. | 23 |
|
| d. | 24 |
|
Question number: 465
Question
The radius of the cylinder whose lateral surface area is 520 and height 5 cm, is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 17 cm |
|
| b. | 14 cm |
|
| c. | 12 cm |
|
| d. | 11 cm |
|