MENSA Cheat Sheet 2026

The 30 highest-yield MENSA facts, distilled from real exam questions. Print it, save it as a PDF, or study it here — free, no sign-up.

1. Which shape comes next in the series: Triangle, Circle, Square, Pentagon, …? → Hexagon
2. Some flowers fade quickly. All roses are flowers. Which conclusion is valid? → Some flowers may fade quickly
3. A piece of paper folded in half twice and then cut once will, when unfolded, show how many identical holes if the cut crosses one folded layer fully? → 4
4. Which word does NOT belong with the others: Cylinder, Sphere, Cone, Hexagon, Cube? → Hexagon
5. Person A says: 'All parrots are birds and can talk.' Person B counters: 'My parrot cannot talk.' What has Person B identified? → A counterexample disproving the universal claim
6. If FAST is coded as HCUV, how is SLOW coded? → UNQY
7. Which does NOT belong? Quartz, Obsidian, Granite, Diamond → Obsidian
8. Study a grid: 5 rows × 4 columns = 20 cells. Cells are numbered left to right, top to bottom. What number is in Row 3, Column 2? → B. 10
9. No reptiles are warm-blooded. All snakes are reptiles. Therefore: → No snakes are warm-blooded
10. Three consecutive even numbers sum to 78. What is the smallest? → B. 24
11. EPHEMERAL : PERMANENT :: OPAQUE : ? → Transparent
12. Complete: 1, 8, 27, 64, ? → 125
13. Lion is to Pride as Wolf is to ___? → Pack
14. Notice these numbers: 7, 3, 8, 1, 5, 9, 2, 4, 6. What is the sum of the 2nd and 7th numbers? → A. 5
15. Which figure is the odd one out: a circle, an oval, a square, and an ellipse? → Square
16. Find the next number: 100, 96, 88, 76, 60, ? → 40
17. A company's revenue grew from $500,000 to $650,000. What is the percentage increase? → C. 30%
18. Complete the sequence: 1, 4, 9, 16, 25, ___? → 36
19. Premises: If A then B. If B then C. If C then D. A is true. What follows? → D is true
20. Figures: ○△○△○△. If the pattern continues, what are the next two shapes? → ○△
21. A number sequence is presented: 15, 22, 9, 31, 17, 8, 26, 13. What is the position of the largest number? → B. 4th
22. CARTOGRAPHER is to MAPS as LEXICOGRAPHER is to: → Dictionaries
23. What completes: 11, 22, 33, 44, ? → 55
24. Which sentence is free of redundancy? → They arrived at the station.
25. All mammals are warm-blooded. All dogs are mammals. Therefore, all dogs are ___? → Warm-blooded
26. What is the missing value? 256, 64, 16, 4, [?] → 1
27. Argument: 'You're wrong about climate change — you're not even a scientist.' This is which fallacy? → Ad hominem (attacking the person)
28. Which statement best follows from: 'All squares are rectangles. Some rectangles are not squares.'? → Not all rectangles are squares
29. Complete the pattern: 1, 4, 9, 16, 25, ? → 36
30. A sequence of shapes follows this rule: circle, square, triangle, circle, square, triangle… What is the 17th shape in the sequence? → Square