Higher November 2018 Paper 2 Q13
13 Ashraf is going to put boxes into a crate.
The crate is a cuboid measuring 2.5 m by 2 m by 1.2 m
Each box is a cube of length 50 cm
He does these calculations.
|
He claims,
“I can put 48 boxes in the crate.”
Evaluate Ashraf’s method and claim. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Evaluates method | B1 | eg1 his method does not work because 1.2 m does not divide exactly by 50 cm eg2 there are not a whole number of 50 cm in 1.2 m eg3 50 cm will not fit in 0.2 m eg4 1.2 ÷ 0.5 = 2.4 which is not a whole number eg5 120 ÷ 50 = 2.4 and cannot have 2.4 boxes eg6 can only fit 2 layers of boxes |
| Evaluates claim | B1 | eg1 he can only fit 40 eg2 he will not fit (as many as) 48 |
Additional guidance
| Volume divided volume doesn’t always work | (1st) B0 |
| He is wrong as he can put 42 boxes | (2nd) B0 |
| Only 2 layers will fit so he can’t fit 48 boxes | B1B1 |
| Can’t have 0.4 of a box so he can only fit 45 boxes | B1B0 |
| 5 × 4 × 2 = 40 | B0B1 |