Plans and elevations
OCR J560 expects fluent translation between a 3D solid and its three orthographic views. Plans and elevations appear on every Foundation paper and frequently on Higher.
The three standard views
- Plan view — the view looking straight down on the object from above.
- Front elevation — the view looking horizontally at the front face.
- Side elevation — the view looking horizontally from the side (usually the left).
Each view is a 2D drawing showing the outline as it would appear with parallel projection (no perspective). All measurements are true to scale.
Conventions
- Use a sharp pencil and ruler. Lines that are visible in the view are solid; hidden edges (behind another face) are usually shown dashed when asked.
- Each view should be drawn on a separate part of the grid. OCR mark schemes typically award B1 per correct view, with shape and dimensions both required.
- Always label which view is which — "Plan", "Front", "Side".
Building from views
Going the other way — given the three views, sketch the solid — is harder. Read each view as constraints:
- Plan tells you the footprint (base shape).
- Front elevation tells you the height and front-facing profile.
- Side elevation confirms depth and any features hidden from the front.
A common OCR question: an L-shaped block. Plan is an L. Front shows the tall and short heights. Side shows the depth. Total volume = sum of two cuboids.
✦Worked example
A staircase solid (two-step) sitting on a 6×4 cm base, total height 4 cm in two equal 2 cm steps:
- Plan: rectangle 6 × 4 cm with an internal line at 3 cm splitting it.
- Front elevation: an L-shape — full 6 cm wide, 4 cm tall on the back half, dropping to 2 cm on the front half.
- Side elevation: rectangle 4 × 4 cm.
OCR mark scheme conventions
- B1 per view drawn correctly with correct shape and dimensions.
- Loss of mark for missing dimensions or wrong proportions on grid paper.
- Hidden lines only required if the question states "show hidden edges".
⚠Common mistakes
- Drawing a perspective sketch instead of an orthographic view.
- Confusing front and side elevation directions.
- Ignoring the squared grid scale (e.g. each square = 1 cm).
AI-generated · claude-opus-4-7 · v3-ocr-maths-leaves