6 questions · Worked answers

Spatial reasoning

Work through six spatial reasoning questions on rotation, reflection, coordinates and cube faces. Reveal worked answers and check your method. No signup.

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6 questions · Worked answers

Pattern recognition

Try six free pattern-recognition questions on sequences, alternating rules, rotations and grids, with clear worked answers. Untimed practice; no account.

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What these collections are for

These focused collections are different from the 15-question mixed assessment. They isolate one kind of problem at a time, let you reveal a worked explanation, and keep the answer key separate from the print view. That format is useful when you want to study a method without a timer or an IQ-style estimate. The spatial set focuses on tracking position and orientation; the pattern set asks you to test a rule against every step of a sequence.

Use the first attempt to notice your own approach. Before opening a solution, write what you think changes, what remains fixed, and which clue supports your answer. Then compare your reasoning with the explanation. If the explanation uses an operation you did not see, try a fresh question of the same type before returning to the mixed assessment. The printable pages include attribution so a teacher, tutor, or study group can share them with the source intact.

Choose the right starting point

Use spatial practice when tracking a corner through a turn or reflection feels difficult. Choose patterns when you want to compare changes across a sequence. If you are unsure, start with the five reasoning categories and ten worked puzzles to see how the skills differ.

Practise for understanding, not a label

Write a short explanation before revealing the answer. A correct guess is a chance to learn a method; a wrong answer is a chance to find the exact step that failed. These small sets have no population norms and cannot diagnose ability or predict a clinical IQ score.

Use a printable worksheet

Each collection has a print layout: use your browser’s Print command to create a worksheet, with answers on a separate page. No download account or email address is required. Keep the source attribution when sharing the worksheet.

Read a guide or try a mixed session