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Non-verbal reasoning Eight questions with answers

Rotation: non-verbal reasoning questions with answers

A shaded grid after a quarter or half turn.

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 rotation questions

  1. The grid is turned 90° anticlockwise. Which option shows it after the turn?

    A grid to turnGiven: a grid 3 rows by 3; row 1: column 3 black; row 2: column 3 dotted; row 3: column 1 dotted, column 3 black. Options: A: a grid 3 rows by 3; row 1: column 1 black, column 2 dotted, column 3 black; row 2: empty; row 3: column 1 dotted | B: a grid 3 rows by 3; row 1: column 1 dotted; row 2: empty; row 3: column 1 black, column 2 dotted, column 3 black | C: a grid 3 rows by 3; row 1: column 3 black; row 2: column 3 dotted; row 3: column 1 dotted, column 3 black | D: a grid 3 rows by 3; row 1: column 1 black; row 2: column 1 dotted; row 3: column 1 black, column 3 dotted | E: a grid 3 rows by 3; row 1: column 1 black, column 2 dotted, column 3 black; row 2: empty; row 3: column 3 dotted.ABCDE
    Show the answer to question 1

    Answer: E

    Why:

    Turn the whole grid 90° anticlockwise: the top row becomes the left column, read from the bottom up. Follow one shaded square to check.

  2. The grid is turned 90° clockwise. Which option shows it after the turn?

    A grid to turnGiven: a grid 4 rows by 4; row 1: column 1 black, column 4 black; row 2: column 1 black, column 2 black, column 3 black, column 4 dotted; row 3: empty; row 4: empty. Options: A: a grid 4 rows by 4; row 1: column 1 black, column 2 dotted; row 2: column 2 black; row 3: column 2 black; row 4: column 1 black, column 2 black | B: a grid 4 rows by 4; row 1: column 1 black, column 4 black; row 2: column 1 dotted, column 2 black, column 3 black, column 4 black; row 3: empty; row 4: empty | C: a grid 4 rows by 4; row 1: column 3 dotted, column 4 black; row 2: column 3 black; row 3: column 3 black; row 4: column 3 black, column 4 black | D: a grid 4 rows by 4; row 1: column 3 black, column 4 black; row 2: column 3 black; row 3: column 3 black; row 4: column 3 dotted, column 4 black | E: a grid 4 rows by 4; row 1: empty; row 2: empty; row 3: column 1 black, column 2 black, column 3 black, column 4 dotted; row 4: column 1 black, column 4 black.ABCDE
    Show the answer to question 2

    Answer: D

    Why:

    Turn the whole grid 90° clockwise: the left column becomes the top row, read from the bottom up. Follow one shaded square to check.

  3. The grid is turned 90° clockwise. Which option shows it after the turn?

    A grid to turnGiven: a grid 4 rows by 4; row 1: column 3 black; row 2: column 1 dotted; row 3: column 2 black, column 3 black; row 4: column 3 black, column 4 dotted. Options: A: a grid 4 rows by 4; row 1: column 3 dotted; row 2: column 2 black; row 3: column 1 black, column 2 black, column 4 black; row 4: column 1 dotted | B: a grid 4 rows by 4; row 1: column 3 black; row 2: column 1 dotted; row 3: column 2 black, column 3 black; row 4: column 3 black, column 4 dotted | C: a grid 4 rows by 4; row 1: column 3 black, column 4 dotted; row 2: column 2 black, column 3 black; row 3: column 1 dotted; row 4: column 3 black | D: a grid 4 rows by 4; row 1: column 2 black; row 2: column 4 dotted; row 3: column 2 black, column 3 black; row 4: column 1 dotted, column 2 black | E: a grid 4 rows by 4; row 1: column 4 dotted; row 2: column 1 black, column 3 black, column 4 black; row 3: column 3 black; row 4: column 2 dotted.ABCDE
    Show the answer to question 3

    Answer: A

    Why:

    Turn the whole grid 90° clockwise: the left column becomes the top row, read from the bottom up. Follow one shaded square to check.

  4. The grid is turned 90° clockwise. Which option shows it after the turn?

    A grid to turnGiven: a grid 4 rows by 4; row 1: column 2 dotted; row 2: column 1 black; row 3: empty; row 4: column 2 black. Options: A: a grid 4 rows by 4; row 1: column 2 black; row 2: empty; row 3: column 1 black; row 4: column 2 dotted | B: a grid 4 rows by 4; row 1: column 2 dotted; row 2: column 1 black; row 3: empty; row 4: column 2 black | C: a grid 4 rows by 4; row 1: column 2 black; row 2: column 1 dotted, column 4 black; row 3: empty; row 4: empty | D: a grid 4 rows by 4; row 1: column 3 black; row 2: column 1 black, column 4 dotted; row 3: empty; row 4: empty | E: a grid 4 rows by 4; row 1: column 3 dotted; row 2: column 4 black; row 3: empty; row 4: column 3 black.ABCDE
    Show the answer to question 4

    Answer: D

    Why:

    Turn the whole grid 90° clockwise: the left column becomes the top row, read from the bottom up. Follow one shaded square to check.

  5. The grid is turned 90° clockwise. Which option shows it after the turn?

    A grid to turnGiven: a grid 4 rows by 4; row 1: column 1 black; row 2: column 4 black; row 3: column 3 black, column 4 black; row 4: column 1 black, column 2 dotted. Options: A: a grid 4 rows by 4; row 1: column 2 black, column 3 black; row 2: column 3 black; row 3: column 4 dotted; row 4: column 1 black, column 4 black | B: a grid 4 rows by 4; row 1: column 1 black, column 4 black; row 2: column 1 dotted; row 3: column 2 black; row 4: column 2 black, column 3 black | C: a grid 4 rows by 4; row 1: column 2 black, column 3 black; row 2: column 2 black; row 3: column 1 dotted; row 4: column 1 black, column 4 black | D: a grid 4 rows by 4; row 1: column 4 black; row 2: column 1 black; row 3: column 1 black, column 2 black; row 4: column 3 dotted, column 4 black | E: a grid 4 rows by 4; row 1: column 1 black, column 4 black; row 2: column 4 dotted; row 3: column 3 black; row 4: column 2 black, column 3 black.ABCDE
    Show the answer to question 5

    Answer: B

    Why:

    Turn the whole grid 90° clockwise: the left column becomes the top row, read from the bottom up. Follow one shaded square to check.

  6. The grid is turned 90° clockwise. Which option shows it after the turn?

    A grid to turnGiven: a grid 4 rows by 4; row 1: column 1 dotted, column 3 black, column 4 dotted; row 2: empty; row 3: column 4 black; row 4: empty. Options: A: a grid 4 rows by 4; row 1: empty; row 2: column 4 black; row 3: empty; row 4: column 1 dotted, column 3 black, column 4 dotted | B: a grid 4 rows by 4; row 1: column 2 black, column 4 dotted; row 2: column 4 black; row 3: empty; row 4: column 4 dotted | C: a grid 4 rows by 4; row 1: column 1 dotted, column 3 black; row 2: column 1 black; row 3: empty; row 4: column 1 dotted | D: a grid 4 rows by 4; row 1: column 1 dotted; row 2: empty; row 3: column 1 black; row 4: column 1 dotted, column 3 black | E: a grid 4 rows by 4; row 1: column 4 dotted; row 2: empty; row 3: column 4 black; row 4: column 2 black, column 4 dotted.ABCDE
    Show the answer to question 6

    Answer: E

    Why:

    Turn the whole grid 90° clockwise: the left column becomes the top row, read from the bottom up. Follow one shaded square to check.

  7. The grid is turned 90° anticlockwise. Which option shows it after the turn?

    A grid to turnGiven: a grid 3 rows by 3; row 1: empty; row 2: column 1 black, column 2 dotted, column 3 black; row 3: column 1 black. Options: A: a grid 3 rows by 3; row 1: column 2 black; row 2: column 2 dotted; row 3: column 1 black, column 2 black | B: a grid 3 rows by 3; row 1: column 3 black; row 2: column 1 black, column 2 dotted, column 3 black; row 3: empty | C: a grid 3 rows by 3; row 1: column 1 black, column 2 black; row 2: column 2 dotted; row 3: column 2 black | D: a grid 3 rows by 3; row 1: empty; row 2: column 1 black, column 2 dotted, column 3 black; row 3: column 1 black | E: a grid 3 rows by 3; row 1: column 2 black; row 2: column 2 dotted; row 3: column 2 black, column 3 black.ABCDE
    Show the answer to question 7

    Answer: E

    Why:

    Turn the whole grid 90° anticlockwise: the top row becomes the left column, read from the bottom up. Follow one shaded square to check.

  8. The grid is turned 180°. Which option shows it after the turn?

    A grid to turnGiven: a grid 4 rows by 4; row 1: column 1 black, column 4 black; row 2: empty; row 3: column 2 black, column 3 black; row 4: column 1 black. Options: A: a grid 4 rows by 4; row 1: column 1 black, column 4 black; row 2: column 3 black; row 3: column 3 black; row 4: column 1 black | B: a grid 4 rows by 4; row 1: column 1 black; row 2: column 2 black, column 3 black; row 3: empty; row 4: column 1 black, column 4 black | C: a grid 4 rows by 4; row 1: column 4 black; row 2: column 2 black, column 3 black; row 3: empty; row 4: column 1 black, column 4 black | D: a grid 4 rows by 4; row 1: column 4 black; row 2: column 2 black; row 3: column 2 black; row 4: column 1 black, column 4 black | E: a grid 4 rows by 4; row 1: column 1 black, column 4 black; row 2: empty; row 3: column 2 black, column 3 black; row 4: column 4 black.ABCDE
    Show the answer to question 8

    Answer: C

    Why:

    Turn the whole grid 180°: the top row becomes the bottom row, read backwards. Follow one shaded square to check.

Answers

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