11+ Non-Verbal Reasoning

Symmetry & Reflection

7 free practice questions with explanations

PassNova has 7 free 11+ Non-Verbal Reasoning practice questions on Symmetry & Reflection, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.

Sample questions

Symmetry & Reflection: example questions & answers

7 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.

  1. How many lines of symmetry does a square have?

    • A1
    • B2
    • C4
    • D0

    Answer: A square has 4 lines of symmetry: two diagonals, one vertical and one horizontal.

  2. How many lines of symmetry does a circle have?

    • A0
    • B1
    • C4
    • DInfinite (more than you can count)

    Answer: A circle has infinitely many lines of symmetry — any line through its centre.

  3. How many lines of symmetry does the letter 'A' (capital) have?

    • A0
    • B1
    • C2
    • D4

    Answer: A capital 'A' has one vertical line of symmetry down the middle.

  4. If you reflect the lower-case letter 'b' in a vertical mirror, which letter do you see?

    • Ap
    • Bd
    • Cq
    • Db

    Answer: A vertical mirror flips 'b' left-to-right to make 'd'.

  5. Which capital letter looks the same after a vertical mirror reflection?

    • AF
    • BA
    • CR
    • DG

    Answer: 'A' is symmetrical down the middle, so it looks the same reflected vertically.

  6. If you fold a square exactly in half corner-to-corner, the two halves are both:

    • ASquares
    • BTriangles
    • CCircles
    • DRectangles

    Answer: Folding a square along its diagonal makes two right-angled triangles.

  7. Which capital letter has a horizontal line of symmetry?

    • AB
    • BF
    • CR
    • DN

    Answer: 'B' has a horizontal line of symmetry across its middle; F, R and N do not.

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