This video shows how to match a three-dimensional arrangement to its view from a specified position. Watch an 11+ non-verbal reasoning question solved step by step.
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10 questions, with feedback after each one. No sign-up needed.
Read the questions in this quiz
Question 1
Which drawing shows this solid seen from the right-hand side?
Seen from the right-hand side
A.A 3 squares across and 3 squares down, filled at row 1 square 3; row 2 square 3; row 3 squares 1, 2 and 3
B.B 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1, 2 and 3; row 3 square 3
C.C 3 squares across and 3 squares down, filled at row 1 squares 1 and 2; row 2 squares 1 and 3; row 3 square 1
D.D 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1, 2 and 3; row 3 square 1
Question 2
Which drawing shows this solid seen from straight above?
Seen from straight above
A.A 3 squares across and 3 squares down, filled at row 1 squares 2 and 3; row 2 square 2; row 3 squares 1 and 2
B.B 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1 and 2; row 3 squares 2 and 3
C.C 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 2 and 3; row 3 squares 1 and 2
D.D 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1, 2 and 3; row 3 square 3
Question 3
Which drawing shows this solid seen from straight above?
Seen from straight above
A.A 3 squares across and 3 squares down, filled at row 1 square 1; row 2 squares 1, 2 and 3; row 3 square 1
B.B 3 squares across and 3 squares down, filled at row 1 square 1; row 2 squares 1, 2 and 3; row 3 square 2
C.C 3 squares across and 3 squares down, filled at row 1 squares 1, 2 and 3; row 2 square 2; row 3 square 2
D.D 3 squares across and 3 squares down, filled at row 1 square 3; row 2 squares 1, 2 and 3; row 3 square 2
Question 4
Which drawing shows this solid seen from the right-hand side?
Seen from the right-hand side
A.A 3 squares across and 3 squares down, filled at row 1 squares 1 and 3; row 2 squares 1 and 2; row 3 square 2
B.B 3 squares across and 3 squares down, filled at row 1 square 1; row 2 squares 1, 2 and 3; row 3 square 2
C.C 3 squares across and 3 squares down, filled at row 1 squares 1, 2 and 3; row 2 squares 2 and 3; row 3 square 2
D.D 3 squares across and 3 squares down, filled at row 1 square 3; row 2 squares 1, 2 and 3; row 3 square 2
Question 5
Which drawing shows this solid seen from straight above?
Seen from straight above
A.A 2 squares across and 3 squares down, filled at row 1 squares 1 and 2; row 2 squares 1 and 2; row 3 square 2
B.B 2 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1 and 2; row 3 squares 1 and 2
C.C 2 squares across and 3 squares down, filled at row 1 square 1; row 2 squares 1 and 2; row 3 squares 1 and 2
D.D 2 squares across and 3 squares down, filled at row 1 squares 1 and 2; row 2 squares 1 and 2; row 3 square 1
Question 6
Which drawing shows this solid seen from straight above?
Seen from straight above
A.A 3 squares across and 3 squares down, filled at row 1 squares 1, 2 and 3; row 2 squares 1 and 2; row 3 square 1
B.B 3 squares across and 3 squares down, filled at row 1 squares 1, 2 and 3; row 2 square 1; row 3 square 1
C.C 3 squares across and 3 squares down, filled at row 1 squares 2 and 3; row 2 squares 1 and 3; row 3 square 1
D.D 3 squares across and 3 squares down, filled at row 1 squares 1, 2 and 3; row 2 square 3; row 3 square 3
Question 7
Which drawing shows this solid seen from the right-hand side?
Seen from the right-hand side
A.A 3 squares across and 3 squares down, filled at row 1 squares 2 and 3; row 2 square 2; row 3 squares 1 and 2
B.B 3 squares across and 3 squares down, filled at row 1 squares 1 and 2; row 2 square 2; row 3 squares 2 and 3
C.C 3 squares across and 3 squares down, filled at row 1 square 3; row 2 squares 1, 2 and 3; row 3 squares 1 and 3
D.D 3 squares across and 3 squares down, filled at row 1 squares 2 and 3; row 2 squares 2 and 3; row 3 square 1
Question 8
Which drawing shows this solid seen from straight above?
Seen from straight above
A.A 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1, 2 and 3; row 3 square 3
B.B 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1, 2 and 3; row 3 square 1
C.C 3 squares across and 3 squares down, filled at row 1 squares 2 and 3; row 2 squares 1 and 2; row 3 squares 1 and 2
D.D 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1, 2 and 3; row 3 square 2
Question 9
Which drawing shows this solid seen from the right-hand side?
Seen from the right-hand side
A.A 3 squares across and 3 squares down, filled at row 1 square 2; row 2 squares 1, 2 and 3; row 3 squares 1 and 2
B.B 3 squares across and 3 squares down, filled at row 1 square 3; row 2 squares 1, 2 and 3; row 3 square 1
C.C 3 squares across and 3 squares down, filled at row 1 square 1; row 2 squares 1, 2 and 3; row 3 square 3
D.D 3 squares across and 3 squares down, filled at row 1 square 3; row 2 squares 1 and 2; row 3 squares 1 and 3
Question 10
Which drawing shows this solid seen from the right-hand side?
Seen from the right-hand side
A.A 3 squares across and 3 squares down, filled at row 1 squares 2 and 3; row 2 square 2; row 3 squares 1 and 2
B.B 3 squares across and 3 squares down, filled at row 1 squares 2 and 3; row 2 squares 1, 2 and 3; row 3 square 2
C.C 3 squares across and 3 squares down, filled at row 1 squares 1 and 2; row 2 squares 2 and 3; row 3 square 2
D.D 3 squares across and 3 squares down, filled at row 1 squares 2 and 3; row 2 squares 1 and 2; row 3 square 2
Practise it now
Scrub the camera round and watch the solid squash flat into a drawing.
Loading the interactive exercise. Nothing you do here is saved or scored.
A worked example
One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.
Drawing what you would see
Picture yourself standing in front of it. Every cube becomes one square, and cubes lined up one behind another become the same square. Which of these drawings is what you would see?
1 of the cubes sit directly behind another cube from the front, so they share a square with it instead of adding one.
A 3 squares across and 3 squares down, filled at row 1 square 1; row 2 square 1; row 3 squares 1, 2 and 33 squares across and 3 squares down, filled at row 1 square 1; row 2 square 1; row 3 squares 1, 2 and 3
B 3 squares across and 3 squares down, filled at row 1 squares 1, 2 and 3; row 2 square 3; row 3 square 33 squares across and 3 squares down, filled at row 1 squares 1, 2 and 3; row 2 square 3; row 3 square 3
C 3 squares across and 3 squares down, filled at row 1 square 1; row 2 square 3; row 3 squares 1, 2 and 33 squares across and 3 squares down, filled at row 1 square 1; row 2 square 3; row 3 squares 1, 2 and 3
D 3 squares across and 3 squares down, filled at row 1 square 3; row 2 square 3; row 3 squares 1, 2 and 33 squares across and 3 squares down, filled at row 1 square 3; row 2 square 3; row 3 squares 1, 2 and 3
Answer: 3 squares across and 3 squares down, filled at row 1 square 1; row 2 square 1; row 3 squares 1, 2 and 3
How you get there
Seen from the front, each cube becomes one square and 1 of the cubes hide directly behind another one. Draw the visible squares row by row: 3 squares across and 3 squares down, filled at row 1 square 1; row 2 square 1; row 3 squares 1, 2 and 3. Its mirror image has the same squares reversed left to right, so it shows the solid the wrong way round rather than the requested view.
Why the other answers tempt
A flipped drawing has all the right squares in all the wrong places. Check which side the sticking-out part is on before you choose.
If they are stuck, say this
Work out the outline first, then check it is the right way round: turning a drawing upside down changes it, and so does holding it up to a mirror.
Scrub the camera round and watch the solid squash flat into a drawing.
A view is what the solid looks like with all the depth squashed out of it, so two cubes lined up one behind the other leave only ONE square on the paper. Work out the outline first, then work out which way round it goes: most wrong answers are the right outline flipped or turned.
Step 1. Flatten it. Scrub the camera all the way round and watch the solid squash flat into the drawing beside it.
Step 2. Pick the view. Which of these four is the front view of the solid?
What to say if they get stuck
Drag the scrub track slowly. The solid squashes flat along the direction you are looking, and what is left is the drawing.
Check the square that sticks out on its own first, then check which way round it sits.
One cube here hides exactly behind another one, so the drawing has fewer squares than the solid has cubes.
The 11+ does not test these skills in isolation, and practising one in the wrong order wastes the practice. These are the skills the curriculum map connects this one to.
Questions parents ask about match a solid and its view
What this skill involves, common mistakes and ways to practise it at home.
Match a 3D arrangement to a specified 2D viewpoint. It is one of 22 named non-verbal reasoning skills in the 11+, in the spatial strand, and this page carries 1 interactive exercise that practises it.
A flipped drawing has all the right squares in all the wrong places. Check which side the sticking-out part is on before you choose. The wrong answers on this skill are built out of that, not out of random numbers, so it is worth naming out loud before your child meets it under time pressure.
Point at the next move rather than explaining the whole rule. Work out the outline first, then check it is the right way round: turning a drawing upside down changes it, and so does holding it up to a mirror.
The skill map draws the line here: Viewpoint is fixed. A question past that line is testing a different named non-verbal reasoning skill, which is worth knowing before you spend a week practising the wrong one.
The skill map connects it to rotate a 3D solid mentally. Mental rotation supports matching a solid from a changed viewpoint. That skill has its own page here.
Use View Matcher, embedded on this page. It is the exercise the skill map attaches to match a solid and its view, it runs in the browser with no account to make, these exercises are not scored and do not save learner records. The separate quiz sends answers for marking and shows a score, without saving an assessment record. It also has its own link, so you can send it to a child without sending them anywhere else first.
Non-verbal reasoning is the paper families most often leave until last
A free diagnostic covers matrices, series, odd one out, rotation, reflection and the 3D questions, and shows where the time is worth spending.
