Foundation November 2023 Paper 3 Q18
18 Here is a shape made from a rectangle and a triangle.
The shape has exactly one line of symmetry.
The area of the rectangle is 3.5 times the area of the triangle.
The width of the rectangle is \(w\) cm.
Work out the value of \(w\).
You must show all your working. (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| 4.8 | P1 | for finding missing length, eg \(14 - 3.8 - 3.8\ (= 6.4)\) |
| P1 | for method to find area of triangle, eg \([\text{missing length}] \times 6 \div 2\ (= 19.2)\) | |
| P1 | for method to find area of rectangle, eg \([\text{area of triangle}] \times 3.5\ (= 67.2)\) or writes an expression for the area of rectangle eg \(14w\) or \(14w \div 3.5\) | |
| P1 | for method to link both areas eg \(14w = [\text{area of triangle}] \times 3.5\) or \([\text{area of triangle}] = 14w \div 3.5\) or \([\text{area of triangle}] \times 3.5 \div 14\) | |
| A1 | cao |
Additional guidance
Where [missing length] can be “6.4” or identified in working or on the diagram as the missing length
[area of triangle] must be identified as the area of the triangle OR come from:
[missing length] × 6 ÷ 2 or
[missing length] × 6 or
[decimal] × 6 ÷ 2
Award 0 marks for a correct answer without correct supportive working.