Simplifying Basic Expressions: Eduqas GCSE Foundation June 2022 Paper 2 Q10

Foundation June 2022 Paper 2 Q10

10.

(a) Simplify \(5f + 6g + 3f - 9g\). [2]

(b) Expand \(5(m - 3)\). [1]

(d) Solve \(\dfrac{e}{2} - 4 = 6\). [2]

(e)

The rectangle below has length \(y\) and width \(x\).

Diagram not drawn to scale

Three rectangles congruent to the one above are arranged, without overlapping, to create the large rectangle below.

Diagram not drawn to scale

Find an expression for the perimeter of this large rectangle in terms of \(x\).
Simplify your answer. [3]

Scheme	Marks	Comments
8f – 3g	B2	B1 for sight of 8f or -3g. Mark final answer.

Scheme	Marks	Comments
5m – 15	B1

Scheme	Marks	Comments
32.4 as their final answer	B2	B1 for 31.2 or 1.2 or 6 x 5.2 + 3 x 0.4 Do not allow 31.2x or 1.2y or 32.4xy or x = 31.2 or y = 1.2 Mark final answer.

Mark scheme (d)

Scheme	Marks	Comments
\(\frac{e}{2} = 10\) or e - 8 = 12	B1
e = 20	B1	FT from e/2 = k OR e – m = 12 OR e - 8 = n Allow 2 marks for an embedded answer BUT only 1 mark if contradicted by e ≠ 20 If no marks, then award SC1 for e/2 = 6 + 4 and e = 6 + 4 x 2 (=14) seen.

Mark scheme (e)

Scheme	Marks	Comments
10x	B3	Award B2 for 3y + 4x OR 4y + 2x OR for a correct answer in terms of x that is not fully simplified e.g. 2x + x + 2x + x + x + x + 2x Award B1 for any one of: a correct answer in terms of x and y that is not fully simplified e.g. y + x + y + x + x + y + x for recognising that y = 2x, may be shown on the diagram e.g. y = x + x or x = 0.5y An answer of 5y is awarded 2 marks (B3 MR -1) An answer in terms of y that is not fully simplified e.g. y + y + y + 4 × 0.5y is awarded 1 mark (B2 MR -1)
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