Non-verbal reasoning.
Find the visual rule.

Eight free questions on patterns, rotations, and folding, with an explanation for every answer.

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By Foldmetry · Updated

What is non-verbal reasoning?

Non-verbal reasoning uses relationships between visual shapes and patterns. Typical tasks involve sequences, matrices, classification, rotation, and reflection. Instead of choosing a word or solving a written arithmetic expression, you infer a rule from the diagrams. “Non-verbal” does not mean that instructions disappear: you still need to understand whether the question asks for the next item, a missing cell, or a shape with a stated property.

This free non-verbal reasoning test contains eight original learning questions. It is untimed and gives an explanation for every answer. The set is not an official 11+ paper, CAT4 assessment, or standardized ability test. It has no age norms, percentile conversion, or passing threshold. You can use it as a short introduction to visual methods without downloading an app or creating an account.

Non-verbal reasoning test: eight questions

0 of 8 answered

Choose one answer for every question, then check your answers. Untimed, free, and no account. Answers are processed only in this browser; leaving the page clears them.

1. Which direction comes next in the sequence? Arrows point up, right, down, then an unknown fourth direction.

Answer and method

Left. Left. Every arrow turns 90° clockwise: up → right → down → left. The rule concerns orientation, not the position of the arrow on the page.

2. How many dots belong in the missing cell? A three-by-three matrix contains 1,2,3 dots in row one; 2,3,4 in row two; and 3,4,? in row three.

Answer and method

5. Five. Moving right adds one dot, and moving down adds one dot too. Both the bottom row (3,4,5) and last column (3,4,5) support the same answer. Check both directions instead of relying on one neighbouring cell.

3. Which option is the reflected shape? Filled squares listed from top to bottom and left to right. Target: row 1, columns 2,3; row 2, columns 1,2; row 3, columns 2. A: row 1, columns 2; row 2, columns 1,2,3; row 3, columns 3. B: row 1, columns 2; row 2, columns 2,3; row 3, columns 1,2. C: row 1, columns 1; row 2, columns 1,2,3; row 3, columns 2. D: row 1, columns 1,2; row 2, columns 2,3; row 3, columns 2.

Answer and method

Option D. D reverses the order of the branches around the outline. A, B and C can be obtained by quarter, half and three-quarter turns respectively. Counting squares alone cannot distinguish these options: they all contain five.

4. Which shape has exactly three sides? A is a square, B a pentagon, C a rhombus and D a triangle.

Answer and method

Option D. D is the triangle. A and C have four sides and B has five. Rotation and fill colour do not change the number of sides, which is the property specified by the question.

5. Which face is opposite B? A–C–E–F form a horizontal row; B is above C and D is below C.

Answer and method

D. D is opposite B. The four squares in the horizontal belt make the side walls, leaving B and D as the top and bottom. This conclusion uses the actual positions in this net, not the alphabetical order of the labels.

6. How many distinct holes appear after unfolding? A square with a vertical crease at x=2, the right half folded left, and a punch at (1,1).

Answer and method

2. There are two holes: (1, 1) and (3, 1). The punch goes through two layers and is away from the crease. A point exactly on a crease needs a separate overlap check, so do not use the layer-count shortcut blindly.

7. How many dots should come next? Groups contain one dot, two dots, three dots, then an unknown group.

Answer and method

4. Four. Each group adds one dot. Describe the smallest rule that explains every given step before choosing a more complicated alternative.

8. Which option is a rotation, without a reflection? Filled squares listed from top to bottom and left to right. Target: row 1, columns 2,3; row 2, columns 1,2; row 3, columns 2. A: row 1, columns 1,2; row 2, columns 2,3; row 3, columns 2. B: row 1, columns 3; row 2, columns 1,2,3; row 3, columns 2. C: row 1, columns 2; row 2, columns 2,3; row 3, columns 1,2. D: row 1, columns 2; row 2, columns 1,2; row 3, columns 2,3.

Answer and method

Option C. C is the target turned through 180°. Trace the off-centre branch around the outline: its order stays the same. The other three options reverse that order. A different viewing direction does not authorize reflecting a flat shape through the paper.

A method for finding visual rules

First identify what changes: the number of elements, their orientation, their position, their fill, or the relationships between them. Check one candidate rule against every given step. For a matrix, test both rows and columns. The missing cell should satisfy all the visible constraints, not just resemble its nearest neighbour. If a simple count rule explains the full grid, do not invent a complicated transformation without evidence.

Then separate transformations from properties. Rotating a triangle changes its direction but preserves its three sides. Reflecting an asymmetric shape can preserve the number of squares while reversing their arrangement. Counting only one attribute is therefore enough for a stated side-count question but not enough for a rotation-versus-reflection question. Read what the task asks before selecting the feature you will compare.

Finally, predict an answer before scanning the options. If the arrows turn clockwise by a quarter turn, say which direction comes next. If each matrix step adds one dot, state the missing count. This prevents a visually attractive distractor from becoming your rule after the fact. Use the choices to confirm a prediction, then explain why at least one competing answer fails.

Using explanations to review a result

The score tells you how many items in this particular set were correct. A pattern question and a paper-folding question can fail for different reasons even when they contribute equally to that total. Review the transformation you used: a count increment, a consistent turn, a reflection across a crease, or an invariant such as the number of sides. Repeated guessing on the same page mainly measures recognition of answers.

For a new example, sketch your own pattern with the same rule and ask whether another person can identify it. Keep the rule consistent across all steps. For folded paper, physically unfold one example to check where the holes land. For an asymmetric shape, trace its branches to distinguish a turn from a reflection. These checks connect an answer to observable geometry rather than to a memorized letter.

Take the method into daily practice.

Foldmetry on iPhone and iPad brings six spatial skills into 36 guided lessons, daily practice, and local mistake review. Free to start, with optional Pro features.

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Actual Foldmetry app screen showing the six guided skill paths.