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Non-verbal reasoning Eight questions with answers

Complete the pattern: non-verbal reasoning questions with answers

Find the missing piece of a symmetric pattern.

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 complete the pattern questions

  1. A piece is missing from the pattern. Which piece completes it?

    A pattern with a piece missingGiven: a grid 6 rows by 6, with the 3 by 3 block at the top left missing, marked ?; row 1: column 4 dotted, column 6 dotted; row 2: empty; row 3: column 4 dotted, column 5 dotted; row 4: column 2 dotted, column 3 dotted, column 4 dotted, column 6 dotted; row 5: column 4 dotted; row 6: column 1 dotted, column 3 dotted, column 6 dotted. Options: A: a grid 3 rows by 3; row 1: column 2 dotted, column 3 dotted; row 2: empty; row 3: column 1 dotted, column 3 dotted | B: a grid 3 rows by 3; row 1: column 1 dotted, column 3 dotted; row 2: column 1 dotted; row 3: column 3 dotted | C: a grid 3 rows by 3; row 1: column 1 dotted; row 2: column 3 black; row 3: column 1 dotted, column 3 dotted | D: a grid 3 rows by 3; row 1: column 1 dotted; row 2: column 3 dotted; row 3: column 1 dotted, column 3 dotted | E: a grid 3 rows by 3; row 1: column 1 dotted, column 2 dotted; row 2: empty; row 3: column 1 dotted, column 3 dotted.?ABCDE
    Show the answer to question 1

    Answer: D

    Why:

    Look at the rest of the pattern: the pattern looks the same after every quarter turn. So the top left corner is the turned copy of the corner it matches.

  2. A piece is missing from the pattern. Which piece completes it?

    A pattern with a piece missingGiven: a grid 6 rows by 6, with the 3 by 3 block at the bottom right missing, marked ?; row 1: column 1 black, column 3 black, column 5 dotted, column 6 black; row 2: column 1 black, column 2 black, column 3 dotted, column 6 black; row 3: column 4 black, column 5 black; row 4: empty; row 5: column 1 black, column 2 black, column 3 dotted; row 6: column 1 black, column 3 black. Options: A: a grid 3 rows by 3; row 1: empty; row 2: column 1 black, column 2 black, column 3 dotted; row 3: column 1 black, column 3 black | B: a grid 3 rows by 3; row 1: column 3 black; row 2: column 1 dotted, column 3 dotted; row 3: column 1 black, column 2 black | C: a grid 3 rows by 3; row 1: column 2 dotted, column 3 black; row 2: column 3 black; row 3: column 1 black, column 2 black | D: a grid 3 rows by 3; row 1: column 2 black, column 3 black; row 2: column 1 black, column 3 dotted; row 3: column 1 black | E: a grid 3 rows by 3; row 1: column 1 black, column 2 black; row 2: column 3 black; row 3: column 2 dotted, column 3 black.?ABCDE
    Show the answer to question 2

    Answer: E

    Why:

    Look at the rest of the pattern: the bottom half of the pattern mirrors the top half. So the bottom right corner is the mirror image of the corner it matches.

  3. A piece is missing from the pattern. Which piece completes it?

    A pattern with a piece missingGiven: a grid 6 rows by 6, with the 3 by 3 block at the bottom right missing, marked ?; row 1: column 1 dotted, column 6 black; row 2: column 1 black, column 6 dotted; row 3: column 1 black, column 3 black, column 5 black; row 4: column 2 black; row 5: column 1 dotted; row 6: column 1 black. Options: A: a grid 3 rows by 3; row 1: column 1 dotted; row 2: column 1 black; row 3: column 1 dotted, column 3 black | B: a grid 3 rows by 3; row 1: column 1 dotted, column 2 black, column 3 black; row 2: empty; row 3: column 3 black | C: a grid 3 rows by 3; row 1: column 1 black, column 3 black; row 2: column 3 black; row 3: column 3 dotted | D: a grid 3 rows by 3; row 1: column 1 dotted, column 3 black; row 2: column 1 black; row 3: column 1 dotted | E: a grid 3 rows by 3; row 1: column 1 black, column 2 black, column 3 dotted; row 2: empty; row 3: column 1 black.?ABCDE
    Show the answer to question 3

    Answer: C

    Why:

    Look at the rest of the pattern: the pattern looks the same turned upside down (a half turn). So the bottom right corner is the turned copy of the corner it matches.

  4. A piece is missing from the pattern. Which piece completes it?

    A pattern with a piece missingGiven: a grid 6 rows by 6, with the 3 by 3 block at the top right missing, marked ?; row 1: column 2 black; row 2: column 1 black, column 2 black; row 3: column 1 black, column 3 black; row 4: column 3 black, column 4 black, column 6 black; row 5: column 1 black, column 2 black, column 5 black, column 6 black; row 6: column 2 black, column 3 black, column 5 black. Options: A: a grid 3 rows by 3; row 1: column 1 black, column 3 black; row 2: column 1 black, column 2 black; row 3: column 2 black | B: a grid 3 rows by 3; row 1: column 1 black, column 2 black; row 2: column 2 black, column 3 black; row 3: column 1 black | C: a grid 3 rows by 3; row 1: column 1 black; row 2: column 2 black, column 3 black; row 3: column 1 black, column 2 black | D: a grid 3 rows by 3; row 1: column 3 black; row 2: column 1 black, column 2 black; row 3: column 2 black, column 3 black | E: a grid 3 rows by 3; row 1: column 1 black, column 3 black; row 2: column 1 black, column 2 black; row 3: column 2 dotted.?ABCDE
    Show the answer to question 4

    Answer: B

    Why:

    Look at the rest of the pattern: the pattern looks the same after every quarter turn. So the top right corner is the turned copy of the corner it matches.

  5. A piece is missing from the pattern. Which piece completes it?

    A pattern with a piece missingGiven: a grid 6 rows by 6, with the 3 by 3 block at the bottom right missing, marked ?; row 1: column 5 black; row 2: column 1 black, column 2 dotted, column 3 black, column 4 black, column 5 dotted; row 3: column 2 black, column 3 black, column 4 black, column 5 black; row 4: column 2 black, column 3 black; row 5: column 2 dotted, column 3 black; row 6: column 2 black. Options: A: a grid 3 rows by 3; row 1: column 2 black, column 3 dotted; row 2: column 1 black, column 2 dotted, column 3 black; row 3: empty | B: a grid 3 rows by 3; row 1: column 2 black; row 2: column 2 dotted, column 3 black; row 3: column 2 black, column 3 black | C: a grid 3 rows by 3; row 1: column 2 black, column 3 black; row 2: column 1 black, column 2 dotted, column 3 black; row 3: empty | D: a grid 3 rows by 3; row 1: column 1 black, column 2 black; row 2: column 1 black, column 2 dotted, column 3 black; row 3: empty | E: a grid 3 rows by 3; row 1: column 2 black; row 2: column 2 dotted, column 3 black; row 3: column 2 black, column 3 dotted.?ABCDE
    Show the answer to question 5

    Answer: D

    Why:

    Look at the rest of the pattern: the pattern looks the same after every quarter turn. So the bottom right corner is the turned copy of the corner it matches.

  6. A piece is missing from the pattern. Which piece completes it?

    A pattern with a piece missingGiven: a grid 6 rows by 6, with the 3 by 3 block at the top right missing, marked ?; row 1: empty; row 2: column 1 black, column 3 dotted; row 3: column 2 black, column 3 black; row 4: column 2 dotted, column 3 black, column 4 black, column 5 black; row 5: column 3 black, column 4 dotted, column 6 black; row 6: column 2 black. Options: A: a grid 3 rows by 3; row 1: empty; row 2: column 1 black, column 3 dotted; row 3: column 2 black, column 3 black | B: a grid 3 rows by 3; row 1: column 2 black; row 2: column 3 dotted; row 3: column 2 dotted, column 3 black | C: a grid 3 rows by 3; row 1: column 2 black; row 2: column 1 black; row 3: column 1 black, column 2 dotted | D: a grid 3 rows by 3; row 1: column 1 black, column 2 black; row 2: column 1 dotted, column 3 black; row 3: empty | E: a grid 3 rows by 3; row 1: column 2 dotted, column 3 black; row 2: column 3 black; row 3: column 2 black.?ABCDE
    Show the answer to question 6

    Answer: C

    Why:

    Look at the rest of the pattern: the pattern looks the same after every quarter turn. So the top right corner is the turned copy of the corner it matches.

  7. A piece is missing from the pattern. Which piece completes it?

    A pattern with a piece missingGiven: a grid 6 rows by 6, with the 3 by 3 block at the top left missing, marked ?; row 1: column 4 black, column 6 black; row 2: column 4 black, column 5 black; row 3: empty; row 4: column 5 black, column 6 black; row 5: column 2 black, column 3 black, column 5 black; row 6: column 1 black, column 3 black, column 6 black. Options: A: a grid 3 rows by 3; row 1: column 1 black, column 3 dotted; row 2: column 1 black, column 2 black; row 3: empty | B: a grid 3 rows by 3; row 1: column 1 black; row 2: column 2 black; row 3: column 1 black, column 2 black | C: a grid 3 rows by 3; row 1: empty; row 2: column 1 black, column 2 black; row 3: column 1 black, column 3 black | D: a grid 3 rows by 3; row 1: empty; row 2: column 2 black, column 3 black; row 3: column 1 black, column 3 black | E: a grid 3 rows by 3; row 1: column 2 black, column 3 black; row 2: column 2 black; row 3: column 3 dotted.?ABCDE
    Show the answer to question 7

    Answer: B

    Why:

    Look at the rest of the pattern: the pattern looks the same after every quarter turn. So the top left corner is the turned copy of the corner it matches.

  8. A piece is missing from the pattern. Which piece completes it?

    A pattern with a piece missingGiven: a grid 6 rows by 6, with the 3 by 3 block at the top right missing, marked ?; row 1: column 2 black; row 2: column 3 black; row 3: column 2 dotted; row 4: column 1 black, column 5 dotted; row 5: column 1 black, column 4 black; row 6: column 1 black, column 2 black, column 3 black, column 5 black. Options: A: a grid 3 rows by 3; row 1: column 1 black, column 2 black, column 3 black; row 2: column 1 black; row 3: column 1 black | B: a grid 3 rows by 3; row 1: column 2 black; row 2: column 3 black; row 3: column 2 dotted | C: a grid 3 rows by 3; row 1: column 3 black; row 2: column 3 black; row 3: column 1 dotted, column 2 black, column 3 black | D: a grid 3 rows by 3; row 1: column 3 black; row 2: column 3 black; row 3: column 1 black, column 2 black, column 3 black | E: a grid 3 rows by 3; row 1: column 1 black, column 2 black, column 3 black; row 2: column 3 black; row 3: column 3 black.?ABCDE
    Show the answer to question 8

    Answer: E

    Why:

    Look at the rest of the pattern: the pattern looks the same turned upside down (a half turn). So the top right corner is the turned copy of the corner it matches.

Answers

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

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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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