Shapes & Properties
9 free practice questions with explanations
PassNova has 9 free 11+ Non-Verbal Reasoning practice questions on Shapes & Properties, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Shapes & Properties: example questions & answers
9 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
How many sides does a pentagon have?
- A4
- B5✓
- C6
- D7
Answer: A pentagon has 5 sides (penta = five).
How many sides does a hexagon have?
- A5
- B6✓
- C7
- D8
Answer: A hexagon has 6 sides (hexa = six).
Which shape has no straight sides or corners?
- ASquare
- BTriangle
- CCircle✓
- DPentagon
Answer: A circle is a curved shape with no straight sides or corners.
How many right angles does a rectangle have?
- A0
- B2
- C4✓
- D6
Answer: A rectangle has 4 right angles (90° at each corner).
A shape with 8 sides is called a:
- AHexagon
- BHeptagon
- COctagon✓
- DNonagon
Answer: An octagon has 8 sides (oct = eight), like a stop sign.
A triangle has all three sides equal. It is called:
- AScalene
- BIsosceles
- CEquilateral✓
- DRight-angled
Answer: An equilateral triangle has three equal sides and three equal angles.
A triangle with exactly two equal sides is called:
- AScalene
- BIsosceles✓
- CEquilateral
- DRound
Answer: An isosceles triangle has two equal sides (and two equal angles).
Which shape tessellates (fits together with no gaps) on its own?
- ACircle
- BSquare✓
- CPentagon
- DOval
Answer: Squares fit together edge-to-edge with no gaps, so they tessellate. Circles leave gaps.
How many corners does a triangle have?
- A2
- B3✓
- C4
- D5
Answer: A triangle has 3 corners (vertices) and 3 sides.