Numeracy Higher June 2019 Unit 1 Q1
1. Rupert Shoes sells shoes online.
Pairs of shoes are packed in shoeboxes.
The dimensions of the shoebox used are given on the diagram below.
Diagram not drawn to scale
A customer orders 2 pairs of shoes.
The package for sending the shoes to the customer is made by:
- placing one box on top of the other, and
- taping the two boxes together.
This is shown in the diagram.
The cost for sending the package is calculated using the formula below.
All dimensions are measured in cm.
Cost in £ = \(\dfrac{1}{5}\) × (\(S\) + \(F\)) × 0·02
\(S\) = value of the sum of the 3 dimensions of the package
\(F\) = value of the area of one of the largest faces of the package
How much does it cost Rupert Shoes to send the package?
Give your answer in pounds.
You must show all your working. [5]
| Scheme | Marks | Comments | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (Value sum dimensions) 40+25+30 (S = 95) | B1 | |||||||||||||||||||||
| (Value area largest face) 30 × 40 (F = 1200) | B1 | |||||||||||||||||||||
For sight of any 1 of the following:
| B1 | Not a FT mark | ||||||||||||||||||||
| Any correct substitution into the given formula, e.g. (Cost) 1/5 × (95 + 1200) × 0.02 (= 259 × 0.02) or ⅕ × 95 × 0.02 + ⅕ × 1200 ×0.02 (= 0.38 + 4.8(0)) | M1 | FT ‘their derived S’ + ‘their derived F’ (‘derived’ meaning not taken from the diagram) Allow intention of brackets, provided not contradicted For a single calculation or may be seen in stages Allow M1 for ⅕ × 1295 × 2 or ⅕ × 95 × 2 + ⅕ × 1200 ×2 | ||||||||||||||||||||
| (=) (£) 5.18 | A1 | Examples of possible FT answers:
|