Constructions: WJEC GCSE Numeracy Higher June 2025 Unit 1 Q1

Numeracy Higher June 2025 Unit 1 Q1

WJECHigherCurrent spec3 marksConstructions

1. The scale drawing below shows a plan of a stage in a theatre.
The stage measures 10 metres by 6 metres.

The scale used is 1 cm represents 1 metre.

An ‘X’ will be marked on the stage where a microphone is to be placed.

The ‘X’ must be:

equidistant from the front of the stage and the right wing
2 metres from the front of the stage.

Draw suitable lines on the plan and show where the ‘X’ will be marked. [3]

Scale: 1 cm represents 1 metre

Rectangle 10 cm by 6 cm showing the stage plan, labelled Front (top), Back (bottom), Left wing (left) and Right wing (right)

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.

Mark scheme

Scheme	Marks	Comments
Unambiguous correct position of X	B3	X must be shown within the tolerance ± 2mm, ± 2°, not for the sight of the intersection of lines within tolerance ± 2mm or ± 2° or a dot B2 for the any one of the following: unambiguous intersection of 2 appropriate lines within tolerance ± 2mm or ± 2°, but the position of X is not indicated, e.g. unambiguous angle bisector between front and right wing ± 2° AND unambiguous horizontal line 2cm ± 2mm from the front a horizontal line 2cm ± 2mm from the front AND a vertical line 2cm ± 2mm from the right wing a horizontal line 2cm ± 2mm from the front AND an intersecting arc radius 2cm± 2mm with centre on the right wing 2cm ± 2mm from the front Position of X indicated with one line (seen or implied) within tolerance and the other line (seen or implied) very slightly out of tolerance (≈ ± 4mm, ≈ ± 4°) B1 for appropriate sight of any one of the following: unambiguous angle bisector between front and right wing ± 2° unambiguous horizontal line 2cm ± 2mm from the front unambiguous vertical line of length 2cm ± 2mm that is 2cm ± 2mm from the right wing position of X indicated but both lines, seen or implied, slightly out of tolerance (≈ ± 4mm, ≈ ± 4°) exactly two X positions marked, one X meeting both criteria and the other X meeting one criterion B0 for the following: X meeting one criterion but no suitable line indicated a vertical line of length 2cm from the front but not 2cm from the right, with X meeting one criterion

Scheme

Marks

Comments

Unambiguous correct position of X

X must be shown within the tolerance ± 2mm, ± 2°, not for the sight of the intersection of lines within tolerance ± 2mm or ± 2° or a dot

B2 for the any one of the following:

unambiguous intersection of 2 appropriate lines within tolerance ± 2mm or ± 2°, but the position of X is not indicated, e.g.
- unambiguous angle bisector between front and right wing ± 2°
  AND
  unambiguous horizontal line 2cm ± 2mm from the front
- a horizontal line 2cm ± 2mm from the front
  AND
  a vertical line 2cm ± 2mm from the right wing
- a horizontal line 2cm ± 2mm from the front
  AND
  an intersecting arc radius 2cm± 2mm with centre on the right wing 2cm ± 2mm from the front
Position of X indicated with one line (seen or implied) within tolerance and the other line (seen or implied) very slightly out of tolerance
(≈ ± 4mm, ≈ ± 4°)

B1 for appropriate sight of any one of the following:

unambiguous angle bisector between front and right wing ± 2°
unambiguous horizontal line 2cm ± 2mm from the front
unambiguous vertical line of length 2cm ± 2mm that is 2cm ± 2mm from the right wing
position of X indicated but both lines, seen or implied, slightly out of tolerance (≈ ± 4mm, ≈ ± 4°)
exactly two X positions marked, one X meeting both criteria and the other X meeting one criterion

B0 for the following:

X meeting one criterion but no suitable line indicated
a vertical line of length 2cm from the front but not 2cm from the right, with X meeting one criterion