Foundation June 2025 Paper 1 Q17

EdexcelCurrent spec4 marks2D Area & Perimeter

17 The diagram shows the plan of a stage.

The stage is made up of a rectangle and an isosceles triangle.

A rectangle 8 m by 6 m with an isosceles triangle on its 6 m side. The perpendicular height of the triangle is 3 m

Diagram NOT accurately drawn

Yuko is going to cover the stage with varnish.
She needs to buy enough tins of varnish to cover the stage with one coat of varnish.

Each tin of varnish covers an area of 4 m²

Work out the smallest number of tins of varnish that Yuko needs to buy.
Show your working clearly.

(4)

Mark scheme

Scheme

Marks

eg 6 × 8 (= 48) or \(\dfrac{1}{2} \times 6 \times 3\) (= 9) or \(\dfrac{1}{2} \times \dfrac{6}{2} \times 3\) (= 4.5)

or \(\dfrac{1}{2} \times (11 + 8) \times 3\) (= 28.5)

eg “48” + “9” (= 57)

or “48” + “4.5” + “4.5” (= 57)

or “28.5” × 2 (= 57)

or eg “48” ÷ 4 (= 12)

or “9” ÷ 4 (= 2.25 or 3)

or “4.5” ÷ 4 (= 1.125)

or “28.5” ÷ 4 (= 7.125)

eg “57” ÷ 4 (= 14.25)
or their area ÷ 4
eg total area = 66 and 66 ÷ 4 (= 16.5)

or 15 × 4 (= 60)
or using multiples of 4 for their area
eg total area = 66 and 17 × 4 (= 68)

eg “12” + “2.25” (= 14.25)

or “12” + “1.125” + “1.125” (= 14.25)

or 2 × “7.125” (= 14.25)

Working required
Answer: 15

(4)

(4 marks)

Notes

M1: for a correct method to find one relevant area

M1: from this mark onwards follow either left hand column or right hand column
left hand column for a complete method to find the total area
or
right hand column a correct method to find the number of tins of paint for part of the stage

M1: left hand column (indep) for a method to find the number of tins for their area ft from any value that has come from a calculation that includes at least 2 of the given dimensions
or
right hand column method to find the total number of tins of paint by adding number of tins from the parts of the stage

A1: dep on M2, must be from correct working