WORKED EXAMPLE (not scored). Study the 2x2 matrix of figures below. One rule links the two figures in the top row and continues into the bottom row; a second, separate rule links the two figures down each column. The bottom-right cell is missing, marked '?'. Work out which of the five options completes the matrix.
(Total for Question 1 is 0 marks)
2
Study the 2x2 matrix of figures below. A single rule rotates the figure by a fixed amount as you read left to right, then continue top to bottom. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 2 is 1 mark)
3
Study the 2x2 matrix of figures below. The bottom row repeats the pattern of the top row exactly. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 3 is 1 mark)
4
Study the 2x2 matrix of figures below. A single rule changes the shading of the figure as you read left to right; the bottom row repeats the same shading rule as the top row. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 4 is 1 mark)
5
Study the 2x2 matrix of figures below. A single rule increases the number of dots inside the shape as you read left to right; the bottom row repeats the same rule as the top row. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 5 is 1 mark)
6
Study the 2x2 matrix of figures below. One rule links the two figures in each row; a separate rule links the two figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 6 is 1 mark)
7
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 7 is 1 mark)
8
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 8 is 1 mark)
9
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 9 is 1 mark)
10
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 10 is 1 mark)
11
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 11 is 1 mark)
12
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 12 is 1 mark)
13
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 13 is 1 mark)
14
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 14 is 1 mark)
15
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 15 is 1 mark)
16
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 16 is 1 mark)
17
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 17 is 1 mark)
18
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 18 is 1 mark)
19
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 19 is 1 mark)
20
Study the 3x3 matrix of figures below. One rule links the figures across each row; a second rule links the figures down each column. The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 20 is 1 mark)
21
Study the 3x3 matrix of figures below. This matrix uses a SINGLE rule that runs through all nine cells in reading order (left to right along row 1, then left to right along row 2, then left to right along row 3). The figure rotates by a fixed amount from each cell to the next. The bottom-right cell is missing, marked '?'. Identify which option completes the sequence.
(Total for Question 21 is 1 mark)
22
Study the 3x3 matrix of figures below. This matrix uses a SINGLE rule that runs through all nine cells in reading order. The number of sides of the shape follows a repeating cycle. All shapes are the same medium size, solid black fill. The bottom-right cell is missing, marked '?'. Identify which option completes the sequence.
(Total for Question 22 is 1 mark)
23
Study the 3x3 matrix of figures below. THREE separate rules operate together: a row rule (the shape alternates across each row), and two column rules (shading and dot-count both change down the rows). The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 23 is 1 mark)
24
Study the 3x3 matrix of figures below carefully. The rotation rule does NOT follow simple reading order. Instead it follows a 'snake' path: left to right along row 1, then right to left along row 2, then left to right along row 3, rotating the figure by a fixed amount at each step along that path. The bottom-right cell is missing, marked '?'. Identify which option completes the sequence.
(Total for Question 24 is 1 mark)
25
Study the 3x3 matrix of figures below. THREE rules operate together: a row rule (the number of sides increases across each row), a column rule (shading darkens down each column), and a DIAGONAL rule (the three cells running from top-left to bottom-right each carry one extra small marker not seen elsewhere in the grid). The bottom-right cell is missing, marked '?'. Identify which option completes the matrix.
(Total for Question 25 is 1 mark)
Mark scheme · EP.N3 Matrices
Question 1
B1 Selects A: applies the row rule (shading changes from white to black moving left to right) together with the column rule (size increases from small to medium moving top to bottom).
Answer: A
Question 2
B1 Selects B: continues the single 90 degree clockwise rotation sequence (up, right, down, left) to give an arrow pointing left.
Answer: B
Question 3
B1 Selects D: the bottom row must repeat the top row exactly, so the missing figure equals the top-right figure (white diamond).
Answer: D
Question 4
B1 Selects A: the row rule (white to diagonal hatching) applies in the bottom row exactly as in the top row.
Answer: A
Question 5
B1 Selects C: the bottom row repeats the top row's dot-count rule (1 dot then 2 dots side by side).
Answer: C
Question 6
B1 Selects E: applies the row rotation rule (+45 degrees clockwise) together with the column shading rule (white to black).
Answer: E
Question 7
B1 Selects B: applies the row rule (dot count 0,1,2 across columns) and the column rule (size small, medium, large down rows) together.
Answer: B
Question 8
B1 Selects D: applies the row shading rule (white, hatched, black across columns) and the column rule (0,1,2 small squares above the circle down rows).
Answer: D
Question 9
B1 Selects A: applies the row rotation rule (+90 degrees clockwise across columns) and the column size rule (small, medium, large down rows).
Answer: A
Question 10
B1 Selects C: applies the row rule (number of black points 1,2,3 clockwise from the top point) and the column rule (outline weight thin, medium, thick down rows).
Answer: C
Question 11
B1 Selects E: applies the row rule (stripe count 1,2,3 across columns) and the column rule (size small, medium, large down rows).
Answer: E
Question 12
B1 Selects B: applies the row rule (shading white, hatched, black across columns) and the column rule (0,1,2 triangles above the hexagon down rows).
Answer: B
Question 13
B1 Selects D: applies the row rule (rotation +90 degrees clockwise across columns) and the column rule (size small, medium, large down rows).
Answer: D
Question 14
B1 Selects A: applies the row rule (direction up, right, down across columns) and the column rule (shading white outline, hatched, solid black down rows).
Answer: A
Question 15
B1 Selects C: applies the row rule (0,1,2 circles across columns) and the column rule (rotation +90 degrees clockwise down rows).
Answer: C
Question 16
B1 Selects E: applies the row rule (line count 1,2,3 across columns) and the column rule (size small, medium, large down rows).
Answer: E
Question 17
B1 Selects B: applies the row rule (mouth rotates 90 degrees clockwise across columns: right, down, left) and the column rule (size small, medium, large down rows).
Answer: B
Question 18
B1 Selects D: applies the row rule (outline style solid, dashed, dotted across columns) and the column rule (fill black, white, diagonally hatched down rows).
Answer: D
Question 19
B1 Selects A: applies the row rule (inner square shading white, hatched, black across columns) and the column rule (inner square size small, medium, large down rows), while the outer circle stays constant.
Answer: A
Question 20
B1 Selects C: applies the row rule (shape fixed per column: triangle, square, pentagon) and the column rule (shading white, stippled, solid black down rows).
Answer: C
Question 21
B1 Selects E: recognises that the single rotation sequence (+45 degrees clockwise per cell, reading order) completes a full 360 degree turn after 8 steps, returning to the starting orientation (up) at the 9th cell.
Answer: E
Question 22
B1 Selects B: recognises the repeating 4-term cycle (3,4,5,6 sides) and identifies that cell 9 is the 1st term of the cycle repeated (3 sides).
Answer: B
Question 23
B1 Selects D: applies the row rule (shape alternates square, diamond, square across columns, so column 3 is always a square), the column shading rule (white, hatched, black down rows) and the column dot-count rule (0,1,2 dots down rows), while noting the dots must contrast with the black fill.
Answer: D
Question 24
B1 Selects A: correctly traces the snake path (row 1 left-to-right, row 2 right-to-left, row 3 left-to-right) and continues the +45 degree clockwise rotation to complete a full 360 degree turn, returning to the starting orientation (up).
Answer: A
Question 25
B1 Selects C: applies the row rule (sides 5,6,7 across columns, so column 3 is always a heptagon), the column rule (shading white, hatched, black down rows, so row 3 is solid black) and the diagonal rule (cell (3,3) lies on the main diagonal so it must carry the small star marker).