4MA0 Foundation January 2013 Paper 2 Q12
12
Diagram NOT accurately drawn
A carton measures 10 cm by 7 cm by 5 cm.
Cartons are packed into boxes.
A box measures 50 cm by 42 cm by 40 cm.
Work out the number of cartons needed to fill completely one box.
(3)
| Scheme | Marks |
|---|---|
\(\dfrac{50}{10}\) or \(\dfrac{42}{7}\) or \(\dfrac{40}{5}\) or 5 or 6 or 8 or \(\dfrac{40}{10}\) or \(\dfrac{42}{7}\) or \(\dfrac{50}{5}\) or 4 or 6 or 10 or \(10 \times 7 \times 5\) or \(50 \times 42 \times 40\) or 350 or 84000 | M1 |
| “5” × “6” × “8” or “84000” ÷ “350” or “4” × “6” × “10” | M1 dep |
| 240 | A1 |
| (3) |
Notes
M1: for multiplier for at least one pair of edges (may be part of expression eg \(\dfrac{50 \times 42}{10 \times 7}\), \(10 \times 5 = 50\))
or for volume of at least one of two cuboids eg. \(10 \times 7 \times 5\), 350
A1: cao