dMdMAT Exam Prep
Core Module

Figure Sequences

What this question type is

A visual pattern puzzle. You see a small shape moving across a 4×4 grid over several frames. A rule governs how it moves, rotates, or changes colour. Your job is to work out the rule and pick the two frames that come next.

How to solve it

Track one attribute at a time — first position (which direction is the shape stepping each frame?), then rotation or colour if those are changing too. Movement can be vertical, horizontal or diagonal, but a shape never switches from a diagonal move to another movement type mid-series. Watch for the shape bouncing off an edge: when it reaches the grid boundary, it can either bounce back inward or continue moving along that outer edge — check which one the earlier frames show before assuming. Some series step up by one each time (1 field, then 2, then 3 — the same x+1 pattern can apply to a rotation angle or a colour cycle instead of a distance). Shapes never overlap or disappear, which is a useful check on any rule you're testing. Continue the pattern two more steps to fill the two blank frames.

Worked example

A blue corner-block starts near the top-right and steps down-and-left one cell each frame: (row 1, col 2) → (2, 1) → (3, 0). At the left edge the horizontal direction flips, so the next step goes down-and-right — but it's also at the bottom, so the vertical direction flips too, sending it up-and-right: (2, 1) → (1, 2) → (0, 3). Those last two are the answers.

Try it yourself

0 of 20 solved

Frame 5 — choose one

Frame 6 — choose one

Why

Stepping down-left hits the left edge at (3,0), so the horizontal direction flips to the right and the vertical flips upward. The shape returns up-right: (2,1) → (1,2) → (0,3).

Frame 5 — choose one

Frame 6 — choose one

Why

The chevron moves right and rotates +90° each frame. At the right edge (col 3) the horizontal direction flips, so it steps back left while rotation continues: (2,3)@270° → (2,2)@0° → (2,1)@90°.

Frame 5 — choose one

Frame 6 — choose one

Why

Moving down-right reaches the corner (3,3), where both directions flip. The shape retraces the diagonal upward: (3,3) → (2,2) → (1,1).

Frame 5 — choose one

Frame 6 — choose one

Why

The circle moves one step at a time clockwise along the grid's outer edge, rather than bouncing back inward at a boundary. From (3,0) it continues up the left edge: (2,0) → (1,0) → (0,0).

Frame 5 — choose one

Frame 6 — choose one

Why

The cross moves one step at a time to the right along its row and bounces back inward when it reaches the right edge. The full sequence runs (1,2) → (1,3) → (1,2) → (1,1) → (1,0) → (1,1), so the two missing frames are (1,0) and (1,1).

Frame 5 — choose one

Frame 6 — choose one

Why

The triangle moves one step at a time downward along its column and bounces off the bottom edge. The full sequence runs (2,1) → (3,1) → (2,1) → (1,1) → (0,1) → (1,1), so the two missing frames are (0,1) and (1,1).

Frame 5 — choose one

Frame 6 — choose one

Why

The circle moves one step at a time clockwise along the grid's outer boundary. The full sequence runs (0,2) → (0,3) → (1,3) → (2,3) → (3,3) → (3,2), so the two missing frames are (3,3) and (3,2).

Frame 5 — choose one

Frame 6 — choose one

Why

The corner-block moves one step at a time counter-clockwise along the grid's outer boundary. The full sequence runs (3,1) → (3,2) → (3,3) → (2,3) → (1,3) → (0,3), so the two missing frames are (1,3) and (0,3).

Frame 5 — choose one

Frame 6 — choose one

Why

The chevron moves diagonally along the main diagonal, bouncing off the bottom-right corner. The full sequence runs (1,1) → (2,2) → (3,3) → (2,2) → (1,1) → (0,0), so the two missing frames are (1,1) and (0,0).

Frame 5 — choose one

Frame 6 — choose one

Why

The triangle moves one step at a time clockwise along the outer boundary and rotates 90 degrees to the right each frame. The full sequence runs (0,3) → (1,3) → (2,3) → (3,3) → (3,2) → (3,1), so the two missing frames are (3,2) and (3,1).

Frame 5 — choose one

Frame 6 — choose one

Why

The cross moves one step at a time to the left along its row, bouncing off the left edge, while its colour cycles from blue to red to green each frame. The full sequence runs (3,3) → (3,2) → (3,1) → (3,0) → (3,1) → (3,2), so the two missing frames are (3,1) and (3,2).

Frame 5 — choose one

Frame 6 — choose one

Why

The circle moves one step at a time downward along its column, bouncing off the bottom edge, and rotates 90 degrees to the left each frame. The full sequence runs (0,2) → (1,2) → (2,2) → (3,2) → (2,2) → (1,2), so the two missing frames are (2,2) and (1,2).

Frame 5 — choose one

Frame 6 — choose one

Why

The chevron moves diagonally along the anti-diagonal, bouncing off the boundary, while its colour cycles from green to navy each frame. The full sequence runs (1,2) → (0,3) → (1,2) → (2,1) → (3,0) → (2,1), so the two missing frames are (3,0) and (2,1).

Frame 5 — choose one

Frame 6 — choose one

Why

The corner-block moves one step at a time counter-clockwise along the outer boundary and rotates 90 degrees to the right each frame. The full sequence runs (0,0) → (1,0) → (2,0) → (3,0) → (3,1) → (3,2), so the two missing frames are (3,1) and (3,2).

Frame 5 — choose one

Frame 6 — choose one

Why

The triangle moves one step at a time to the right along its row, bouncing off the right edge, while its colour cycles from red to green to navy each frame. The full sequence runs (0,0) → (0,1) → (0,2) → (0,3) → (0,2) → (0,1), so the two missing frames are (0,2) and (0,1).

Frame 5 — choose one

Frame 6 — choose one

Why

The chevron moves clockwise along the outer boundary, but the number of steps grows by one each frame: 1 step, then 2 steps, then 3 steps, and so on. The full sequence runs (0,0) → (0,1) → (0,3) → (3,3) → (2,0) → (0,3), so the two missing frames are (2,0) and (0,3).

Frame 5 — choose one

Frame 6 — choose one

Why

The cross moves diagonally along the main diagonal, bouncing off the boundary, and rotates 90 degrees to the right each frame at the same time. The full sequence runs (0,0) → (1,1) → (2,2) → (3,3) → (2,2) → (1,1), so the two missing frames are (2,2) and (1,1).

Frame 5 — choose one

Frame 6 — choose one

Why

The circle moves diagonally along the anti-diagonal, bouncing off the boundary, while its colour cycles from blue to red to green each frame. The full sequence runs (2,1) → (3,0) → (2,1) → (1,2) → (0,3) → (1,2), so the two missing frames are (0,3) and (1,2).

Frame 5 — choose one

Frame 6 — choose one

Why

The corner-block moves counter-clockwise along the outer boundary, but the number of steps grows by one each frame: 1 step, then 2 steps, then 3 steps, and so on. The full sequence runs (3,3) → (2,3) → (0,3) → (0,0) → (3,1) → (0,3), so the two missing frames are (3,1) and (0,3).

Frame 5 — choose one

Frame 6 — choose one

Why

The triangle moves one step at a time clockwise along the outer boundary, rotating 90 degrees to the left each frame while its colour cycles from navy to blue each frame at the same time. The full sequence runs (2,3) → (3,3) → (3,2) → (3,1) → (3,0) → (2,0), so the two missing frames are (3,0) and (2,0).