1MA0 Higher June 2016 Paper 2 Q8
8 Emma has a digital photo.
Diagram NOT accurately drawn
The photo has a width of 720 pixels.
The photo has a height of 540 pixels.
(a) Write down the ratio of the width of the photo to the height of the photo.
Give your ratio in its simplest form. (2)
Give your ratio in its simplest form. (2)
Emma wants the ratio of the width of the photo to the height of the photo to be 3 : 2
She reduces the number of pixels in the height of the photo.
The width of the photo is still 720 pixels.
The ratio of the width of the photo to the new height of the photo is 3 : 2
(b) Work out the new height of the photo. (2)
| Answer | Mark | Notes |
|---|---|---|
| 4 : 3 | 2 | M1 for 720 : 540 oe or for 3 : 4 or 1 : \(\tfrac{4}{3}\) oe or \(\tfrac{3}{4}\) : 1 oe A1 for 4 : 3 or \(\tfrac{4}{3}\) (or 1 .33….) : 1 or 1 : \(\tfrac{3}{4}\) (or 0.75) |
| Answer | Mark | Notes |
|---|---|---|
| 480 | 2 | M1 for \(720 \div 3\) (= 240) or scale factor of \(\dfrac{3}{2}\) or \(\dfrac{2}{3}\) oe or 720 : 480 A1 cao |