1MA0 Higher June 2014 Paper 1 Q20
20 Steve has a photo and a rectangular piece of card.
Diagram NOT accurately drawn
The photo is 16 cm by 10 cm.
The card is 30 cm by 15 cm.
Steve cuts the card along the dotted line shown in the diagram below.
Steve throws away the piece of card that is 15 cm by \(x\) cm.
The piece of card he has left is mathematically similar to the photo.
Work out the value of \(x\). (3)
| Answer | Mark | Notes |
|---|---|---|
| 6 | 3 | M1 for \(\dfrac{15}{10}\) (=1.5) or \(\dfrac{10}{15}\) (=0.66..) or \(\dfrac{16}{10}\) (=1.6) or \(\dfrac{10}{16}\) (=0.625) M1 for \(\dfrac{15}{10} \times 16\) (=24) oe A1 cao OR M1 for \(\dfrac{15}{16}\) (=0.9375) or \(\dfrac{16}{15}\) (=1.066…) or \(\dfrac{16}{10}\) (=1.6) or \(\dfrac{10}{16}\) (=0.625) M1 for \(\dfrac{15}{16} \times 10\) (=9.375) oe A1 20.625 oe |