1MA0 Foundation June 2017 Paper 1 Q18
18 Josef puts wooden blocks into boxes.
Diagram NOT accurately drawn
Each box is a cuboid \(x\) cm by 8 cm by 10 cm.
Each block is a cuboid 2 cm by 2 cm by 10 cm.
24 blocks completely fill a box.
Work out the value of \(x\). (4)
| Answer | Mark | Notes |
|---|---|---|
| 12 | 4 | M1 for a correct expression for the volume of a block e.g. \(2 \times 2 \times 10\) (= 40) M1 for a correct expression for the volume of a box e.g. \(10 \times 8 \times x\) or for \(\text{``}40\text{''} \times 24\) M1 for a complete method to find \(x\) e.g. \((\text{``}40\text{''} \times 24) \div (10 \times 8)\) A1 cao or M1 for a method to find number of blocks that can fit in a bottom row of the box \(8 \div 2\) (= 4) M1 for a method to find the number of rows \(24 \div 4\) (= 6) M1 for a complete method to find \(x\) e.g. \(\text{``}6\text{''} \times 2\) A1 cao |