Nine problems at the level of last year's Q7 and Q8, easiest first. Every drawing on this page is generated from one 3D model of the object, so the views always agree with each other and with the isometric — including every hidden line.
For each problem: draw the answer on paper first (pencil, scale, set square — 6–8 minutes, like the exam). Then press Next ▶ to see it built step by step: construction lines, then the visible edges, then the hidden ones. Answer lines appear in green (missing view) or rust (missing lines). Short on time? Do A4, A5, B3 and B4 — they're exam level.
Problems here come in two layouts, because last year's Q7 and Q8 used a different one from your lecture examples. You never need to name the system — just do this: pick one feature you can place on the isometric (a step at the front, a slot at the back) and find it in the view next to the front view.
First-angle layout (lecture examples): top view below the front view, left view to the right. The side of each view nearest the front view is the object's back.
Q7 layout (third angle): top view above the front view, left view to the left. The side of each view nearest the front view is the object's front.
Either way, the top view always has the object's front at its bottom edge, and the left view always has the front at its right edge — only where the view is placed changes. When views are already given, put the missing one where that layout says it goes.
The routine, every time
Missing view: (1) box it in — heights travel horizontally from the front view, widths vertically, and depths turn the corner through a 45° mitre line; (2) outline and visible edges, one feature at a time; (3) hidden edges, dashed. Missing lines: go feature by feature (each step, slot, hole, channel) and check it appears in all three views — as a full line where you can see it, dashed where you can't.
Part A · Missing view (like Q7)
A1 · A stepped block with a groove Warm-up
First-angle layout Front view and top view (first angle). Draw the left view.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Front view and top view (first angle). Draw the left view. Draw it on paper first, then step through.Height from the front view (horizontal projectors), depth from the top view through the 45° mitre line. Box it: 30 deep × 40 high.Outline and visible edges: the left face is an L — full height at the back, stepped down to 20 for the front 15 mm. In first angle the left view sits to the right of the FV, so its left edge is the object's back.Hidden edge: the groove on top (x 20–30, 10 deep) is behind the left 20 mm of material, so its floor shows as a dashed line at height 30 over the back part.
A2 · A notched block with a tunnel underneath Warm-up
First-angle layout Front view and left view (first angle). Draw the top view.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Front view and left view (first angle). Draw the top view. Draw it on paper first, then step through.Width from the front view (vertical projectors down), depth from the left view through the mitre line. Box it: 50 wide × 30 deep, front edge at the bottom.Visible edges: the front-left corner notch (15 wide, 10 deep) shows as a step in the outline.Hidden edges: the tunnel under the block (x 15–35) can't be seen from above, so its two walls are dashed lines running front to back.
A3 · A wall, a base and a block in front Steady
First-angle layout Top view and left view (first angle). The arrow shows the front. Draw the front view.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Top view and left view (first angle). The arrow shows the front. Draw the front view. Draw it on paper first, then step through.Width from the top view (vertical projectors up), height from the left view (horizontal projectors across). Box it: 60 wide × 40 high.Outline: the back wall gives the full 60 × 40 rectangle; the base's top edge runs across at height 10; the shallow channel underneath (x 20–40, 5 high) is open at the front, so it shows as a visible notch.The block in front of the wall (x 25–35, up to 30): its front face is a rectangle drawn in full lines. No hidden lines are needed — everything else is behind something already drawn as a full line.
A4 · Stepped corners, a back slot, a tunnel Exam level
Q7 layout (top view above, left view on the left) Front view and top view in the Q7 layout (top view above the front view). Draw the left view, on the left of the front view.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Front view and top view in the Q7 layout (top view above the front view). Draw the left view, on the left of the front view. Draw it on paper first, then step through.Height from the front view, depth from the top view through the mitre line (here it sits top-left). In this layout the side of the left view nearest the front view is the object's front — check: the front corner steps must appear on its right edge.Visible edges: the left face is stepped down to 25 for the front 15 mm — an L of full lines on the right-hand side of the view. The outline stays a full rectangle because the middle (x 15–35) is full height at the front.Hidden edges, dashed: the back slot (10 deep, from height 20 up) and the tunnel roof at height 10, which runs right through front to back.
A5 · A front notch, lowered back corners, a cross-tunnel Exam level
Q7 layout (top view above, left view on the left) Front view and left view in the Q7 layout (left view on the left). Draw the top view, above the front view.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Front view and left view in the Q7 layout (left view on the left). Draw the top view, above the front view. Draw it on paper first, then step through.Width from the front view (projectors straight up), depth from the left view through the mitre line. In this layout the top view's bottom edge (nearest the FV) is the object's front.Visible edges: the front notch (x 20–40, 15 deep) and the two lowered back corners (15 × 15) — each shows as a rectangle of full lines.Hidden edges, dashed: the tunnel under the block runs left to right (depth 15–25). Where its wall line lands on a visible edge, the full line wins.
Part B · Missing lines (like Q8)
B1 · Step and groove Warm-up
First-angle layout Three views (first angle), with lines missing. Find and add them.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Three views (first angle), with lines missing. Find and add them. There are 3 groups of missing lines. Find them on paper first, then step through.Top view: the front step's edge, 10 mm from the front (bottom) edge — the step at height 20 is a separate surface from the top at 30, so there must be a line between them. It breaks where the groove crosses it.Front view: the same step seen from the front — a full line at height 20, broken by the groove.Left view: the groove floor at height 15 is behind the left 20 mm of material, so it is a dashed line all the way across.
B2 · L-bracket with a square hole Steady
First-angle layout Three views (first angle), with lines missing. Find and add them.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Three views (first angle), with lines missing. Find and add them. There are 3 groups of missing lines. Find them on paper first, then step through.Front view: the square hole runs left–right through the upright. From the front it is hidden inside the upright: two dashed lines at heights 20 and 30.Top view: the same hole from above — two dashed lines at depths 15 and 25, across the upright's 15 mm.Left view: the corner notch at the front-right of the base (10 deep) is hidden behind the upright — a short dashed vertical line 10 mm from the front (right) edge.
B3 · Q8-style support (square hole, channel underneath) Exam level
First-angle layout Three views (first angle), with lines missing. Find and add them.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Three views (first angle), with lines missing. Find and add them. There are 4 groups of missing lines. Find them on paper first, then step through.Top view: the square hole goes front to back through the upright, so from above its sides are hidden — two dashed lines at 30 and 40.Top view: the channel under the base (x 15–55) — its two walls, dashed.Left view: the hole again — from the side its top and bottom are hidden: dashed at 25 and 35.Left view: the channel roof at height 5, dashed across. (Q8's missing lines were exactly this kind: every hole and channel appears in every view.)
B4 · Q7-layout block with a slot and a back tunnel Exam level
Q7 layout (top view above, left view on the left) Three views in the Q7 layout (top view above, left view on the left), with lines missing. Find and add them.
Isometric drawing (sizes in mm). The arrow marks the front.
The problem as set. Three views in the Q7 layout (top view above, left view on the left), with lines missing. Find and add them. There are 3 groups of missing lines. Find them on paper first, then step through.Front view: the tunnel at the back (x 10–40, 10 high) can't be seen from the front — a dashed rectangle at the bottom.Left view: the front-left notch (15 deep). In this layout the left view's right side is the front, so the notch edge is a full line 15 mm in from the right.Left view: the top slot's floor at height 15 is behind the left part — dashed, all the way across.
After the practice
Where the marks go
☐ Every hidden edge dashed — a missing hidden line is the commonest lost mark (all four Part B problems are mostly hidden lines). ☐ Views lined up: the same height in the front and side views, the same width in the front and top views. ☐ Construction and projector lines left in, thin. ☐ Final lines thick and dark. ☐ The missing view placed where the given layout says.