1MA0 Foundation November 2014 Paper 2 Q9
9 Amy is making a shelf unit for her DVDs.
She needs
3 pieces of wood of length 32 cm
and 2 pieces of wood of length 45 cm.
Amy has a piece of wood of length 2 metres.
She cuts the 5 pieces of wood she needs from the 2 metre length of wood.
(a) What length of wood does Amy have left from the 2 metre length? (3)
The diagram shows the shelf unit.
Diagram NOT accurately drawn
Amy will put DVDs on the 2 shelves, as shown in the diagram.
Each DVD has a width of 14 mm.
(b) What is the greatest number of DVDs Amy can put on the 2 shelves? (3)
| Answer | Mark | Notes |
|---|---|---|
| 14 cm or 0.14 m | 3 | M1 for \(3 \times 32 + 2 \times 45\) (= 186) oe M1 (indep) for subtraction of “wood needed” from 2 m using consistent units eg \(200 - \text{``}186\text{''}\) (= 14) or \(2 - \text{``}1.86\text{''}\) (= 0.14) A1 for 14 cm, 0.14 m or 140 mm |
| Answer | Mark | Notes |
|---|---|---|
| 44 | 3 | M1 for \(320 \div 14\) (= 22.8... or 23) or \(2 \times 320 \div 14\) (= 45.7... or 46) M1 (dep) for evidence of truncating “total DVDs” down to integer value, e.g. 22.8... to 22 or 45.7... to 45 A1 cao |