Foundation June 2025 Paper 1R Q6
6 Aabir has some boxes and some crates.
Each box has the same weight.
Each crate has the same weight.
The total weight of 7 boxes and 2 crates is 27.3 kg
The total weight of 4 boxes and 2 crates is 16.8 kg
Work out the weight of one crate.
(4)
| Scheme | Marks |
|---|---|
| 27.3 – 16.8 (= 10.5) or \(\begin{aligned} 7b + 2c &= 27.3 \\ 4b + 2c &= 16.8 \\ \hline 3b \phantom{{}+2c} &= 10.5 \end{aligned}\) | M1 |
| “10.5” ÷ (7 – 4) (= 3.5) or \(b = 3.5\) | M1 |
| eg 27.3 – 7 × “3.5” (= 2.8) or 16.8 – 4 × “3.5” (= 2.8) or \(2c\) = 16.8 – 4 × “3.5” (= 2.8) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 1.4 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for a correct first step to find the weight of 3 boxes
M1: for a method to find the weight of one box
M1: for a method to find the weight of 2 crates
A1: oe eg \(\dfrac{7}{5}\)