Foundation November 2023 Paper 3 Q26
26 An open cardboard cylinder has radius 1.9 cm and height 10.2 cm
(a) Harry assumes that the net of the cylinder is a rectangle with length \(l\) cm
Not drawn accurately
Work out the area of this rectangle. [3 marks]
In fact, the net is a parallelogram, not a rectangle.
Not drawn accurately
(b) What does this mean about the area of the net?
Tick one box. [1 mark]
- It is less than the area of the rectangle
- It is equal to the area of the rectangle
- It is more than the area of the rectangle
(c) What does this mean about the perimeter of the net?
Tick one box. [1 mark]
- It is less than the perimeter of the rectangle
- It is equal to the perimeter of the rectangle
- It is more than the perimeter of the rectangle
| Answer | Mark | Comments |
|---|---|---|
| \(2 \times 1.9 \times \pi\) or \(3.8\pi\) or [11.9, 11.94] | M1 | oe |
| \(2 \times 1.9 \times \pi \times 10.2\) or \(3.8\pi \times 10.2\) or their \([11.9, 11.94] \times 10.2\) | M1dep | oe |
| [121, 122] | A1 | SC1 [115, 116] |
Additional guidance
SC1 [115, 116] is from using the area of the circle
| Answer | Mark | Comments |
|---|---|---|
| It is equal to the area of the rectangle | B1 | accept any indication |
| Answer | Mark | Comments |
|---|---|---|
| It is more than the perimeter of the rectangle | B1 | accept any indication |