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Non-verbal reasoning Eight questions with answers

Reflection: non-verbal reasoning questions with answers

A shape reflected in a mirror line.

Questions written by Remelia in the style of the familiarisation papers; not taken from any exam paper.

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Try each question before opening its answer. Printed, the questions come on one sheet and the answers on the next.

Eight reflection questions

  1. Which option shows the shape reflected in the dashed mirror line?

    A shape and a mirror lineThe mirror line is an upright mirror line. Given: a shape of squares 3 rows by 2; row 1: column 1 black, column 2 white; row 2: column 1 white, column 2 white; row 3: column 2 white. Options: A: a shape of squares 3 rows by 2; row 1: column 1 white, column 2 black; row 2: column 1 white, column 2 white; row 3: column 1 white | B: a shape of squares 2 rows by 3; row 1: column 1 white, column 2 white, column 3 white; row 2: column 1 black, column 2 white | C: a shape of squares 3 rows by 2; row 1: column 1 white; row 2: column 1 white, column 2 white; row 3: column 1 white, column 2 black | D: a shape of squares 2 rows by 3; row 1: column 1 black, column 2 white; row 2: column 1 white, column 2 white, column 3 white | E: a shape of squares 2 rows by 3; row 1: column 2 white, column 3 black; row 2: column 1 white, column 2 white, column 3 white.ABCDE
    Show the answer to question 1

    Answer: A

    Why:

    Reflect in an upright mirror line: every square keeps its distance from the line but lands on the other side. Check where each black square goes.

  2. Which option shows the shape reflected in the dashed mirror line?

    A shape and a mirror lineThe mirror line is a flat mirror line. Given: a shape of squares 3 rows by 2; row 1: column 1 black, column 2 white; row 2: column 1 white, column 2 white; row 3: column 1 white. Options: A: a shape of squares 3 rows by 2; row 1: column 1 white; row 2: column 1 white, column 2 white; row 3: column 1 black, column 2 white | B: a shape of squares 3 rows by 2; row 1: column 2 white; row 2: column 1 white, column 2 white; row 3: column 1 white, column 2 black | C: a shape of squares 3 rows by 2; row 1: column 1 white, column 2 black; row 2: column 1 white, column 2 white; row 3: column 2 white | D: a shape of squares 3 rows by 2; row 1: column 1 black, column 2 white; row 2: column 1 white, column 2 white; row 3: column 1 white | E: a shape of squares 2 rows by 3; row 1: column 2 white, column 3 white; row 2: column 1 white, column 2 white, column 3 black.ABCDE
    Show the answer to question 2

    Answer: A

    Why:

    Reflect in a flat mirror line: every square keeps its distance from the line but lands on the other side. Check where each black square goes.

  3. Which option shows the shape reflected in the dashed mirror line?

    A shape and a mirror lineThe mirror line is an upright mirror line. Given: a shape of squares 2 rows by 4; row 1: column 1 white, column 2 white, column 3 black, column 4 white; row 2: column 1 white, column 2 black, column 3 white. Options: A: a shape of squares 2 rows by 4; row 1: column 2 white, column 3 black, column 4 white; row 2: column 1 white, column 2 black, column 3 white, column 4 white | B: a shape of squares 2 rows by 4; row 1: column 1 white, column 2 black, column 3 white; row 2: column 1 white, column 2 white, column 3 black, column 4 white | C: a shape of squares 2 rows by 4; row 1: column 1 white, column 2 black, column 3 white, column 4 white; row 2: column 2 white, column 3 black, column 4 white | D: a shape of squares 4 rows by 2; row 1: column 2 white; row 2: column 1 white, column 2 black; row 3: column 1 black, column 2 white; row 4: column 1 white, column 2 white | E: a shape of squares 4 rows by 2; row 1: column 1 white, column 2 white; row 2: column 1 white, column 2 black; row 3: column 1 black, column 2 white; row 4: column 1 white.ABCDE
    Show the answer to question 3

    Answer: C

    Why:

    Reflect in an upright mirror line: every square keeps its distance from the line but lands on the other side. Check where each black square goes.

  4. Which option shows the shape reflected in the dashed mirror line?

    A shape and a mirror lineThe mirror line is a diagonal mirror line (top left to bottom right). Given: a shape of squares 2 rows by 4; row 1: column 4 white; row 2: column 1 white, column 2 white, column 3 white, column 4 black. Options: A: a shape of squares 4 rows by 2; row 1: column 1 black, column 2 white; row 2: column 1 white; row 3: column 1 white; row 4: column 1 white | B: a shape of squares 2 rows by 4; row 1: column 1 black, column 2 white, column 3 white, column 4 white; row 2: column 1 white | C: a shape of squares 4 rows by 2; row 1: column 1 white, column 2 black; row 2: column 2 white; row 3: column 2 white; row 4: column 2 white | D: a shape of squares 4 rows by 2; row 1: column 2 white; row 2: column 2 white; row 3: column 2 white; row 4: column 1 white, column 2 black | E: a shape of squares 4 rows by 2; row 1: column 1 white; row 2: column 1 white; row 3: column 1 white; row 4: column 1 black, column 2 white.ABCDE
    Show the answer to question 4

    Answer: D

    Why:

    Reflect in a diagonal mirror line (top left to bottom right): every square keeps its distance from the line but lands on the other side, so rows become columns. Check where each black square goes.

  5. Which option shows the shape reflected in the dashed mirror line?

    A shape and a mirror lineThe mirror line is a diagonal mirror line (bottom left to top right). Given: a shape of squares 2 rows by 4; row 1: column 2 black, column 3 white, column 4 white; row 2: column 1 white, column 2 white, column 3 white. Options: A: a shape of squares 2 rows by 4; row 1: column 1 white, column 2 white, column 3 white; row 2: column 2 black, column 3 white, column 4 white | B: a shape of squares 4 rows by 2; row 1: column 1 white; row 2: column 1 white, column 2 white; row 3: column 1 black, column 2 white; row 4: column 2 white | C: a shape of squares 2 rows by 4; row 1: column 2 white, column 3 white, column 4 white; row 2: column 1 white, column 2 white, column 3 black | D: a shape of squares 2 rows by 4; row 1: column 2 black, column 3 white, column 4 white; row 2: column 1 white, column 2 white, column 3 white | E: a shape of squares 4 rows by 2; row 1: column 2 white; row 2: column 1 white, column 2 white; row 3: column 1 white, column 2 black; row 4: column 1 white.ABCDE
    Show the answer to question 5

    Answer: E

    Why:

    Reflect in a diagonal mirror line (bottom left to top right): every square keeps its distance from the line but lands on the other side, so rows become columns. Check where each black square goes.

  6. Which option shows the shape reflected in the dashed mirror line?

    A shape and a mirror lineThe mirror line is a diagonal mirror line (top left to bottom right). Given: a shape of squares 3 rows by 3; row 1: column 2 black, column 3 white; row 2: column 2 black; row 3: column 1 white, column 2 white. Options: A: a shape of squares 3 rows by 3; row 1: column 3 white; row 2: column 1 black, column 2 black, column 3 white; row 3: column 1 white | B: a shape of squares 3 rows by 3; row 1: column 2 black, column 3 white; row 2: column 2 black; row 3: column 1 white, column 2 white | C: a shape of squares 3 rows by 3; row 1: column 1 white, column 2 black; row 2: column 2 black; row 3: column 2 white, column 3 white | D: a shape of squares 3 rows by 3; row 1: column 1 white, column 2 white; row 2: column 2 black; row 3: column 2 black, column 3 white | E: a shape of squares 3 rows by 3; row 1: column 2 white, column 3 white; row 2: column 2 black; row 3: column 1 white, column 2 black.ABCDE
    Show the answer to question 6

    Answer: A

    Why:

    Reflect in a diagonal mirror line (top left to bottom right): every square keeps its distance from the line but lands on the other side, so rows become columns. Check where each black square goes.

  7. Which option shows the shape reflected in the dashed mirror line?

    A shape and a mirror lineThe mirror line is a flat mirror line. Given: a shape of squares 4 rows by 2; row 1: column 1 white; row 2: column 1 white, column 2 white; row 3: column 1 black, column 2 black; row 4: column 1 white. Options: A: a shape of squares 2 rows by 4; row 1: column 2 black, column 3 white; row 2: column 1 white, column 2 black, column 3 white, column 4 white | B: a shape of squares 4 rows by 2; row 1: column 1 white; row 2: column 1 black, column 2 black; row 3: column 1 white, column 2 white; row 4: column 1 white | C: a shape of squares 4 rows by 2; row 1: column 2 white; row 2: column 1 white, column 2 white; row 3: column 1 black, column 2 black; row 4: column 2 white | D: a shape of squares 2 rows by 4; row 1: column 1 white, column 2 black, column 3 white, column 4 white; row 2: column 2 black, column 3 white | E: a shape of squares 2 rows by 4; row 1: column 2 white, column 3 black; row 2: column 1 white, column 2 white, column 3 black, column 4 white.ABCDE
    Show the answer to question 7

    Answer: B

    Why:

    Reflect in a flat mirror line: every square keeps its distance from the line but lands on the other side. Check where each black square goes.

  8. Which option shows the shape reflected in the dashed mirror line?

    A shape and a mirror lineThe mirror line is a diagonal mirror line (bottom left to top right). Given: a shape of squares 3 rows by 4; row 1: column 4 black; row 2: column 3 white, column 4 white; row 3: column 1 black, column 2 white, column 3 white, column 4 white. Options: A: a shape of squares 4 rows by 3; row 1: column 3 black; row 2: column 3 white; row 3: column 2 white, column 3 white; row 4: column 1 black, column 2 white, column 3 white | B: a shape of squares 3 rows by 4; row 1: column 4 black; row 2: column 3 white, column 4 white; row 3: column 1 black, column 2 white, column 3 white, column 4 white | C: a shape of squares 4 rows by 3; row 1: column 1 white, column 2 white, column 3 black; row 2: column 1 white, column 2 white; row 3: column 1 white; row 4: column 1 black | D: a shape of squares 3 rows by 4; row 1: column 1 white, column 2 white, column 3 white, column 4 black; row 2: column 1 white, column 2 white; row 3: column 1 black | E: a shape of squares 3 rows by 4; row 1: column 1 black, column 2 white, column 3 white, column 4 white; row 2: column 3 white, column 4 white; row 3: column 4 black.ABCDE
    Show the answer to question 8

    Answer: C

    Why:

    Reflect in a diagonal mirror line (bottom left to top right): every square keeps its distance from the line but lands on the other side, so rows become columns. Check where each black square goes.

Answers

  1. 1. A
  2. 2. A
  3. 3. C
  4. 4. D
  5. 5. E
  6. 6. A
  7. 7. B
  8. 8. C

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Remelia practises non-verbal reasoning only for a child whose chosen exam sets it, in short sessions beside maths and English, with the same drawings, and brings back on later days what they got wrong.

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