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Non-verbal reasoning Eight questions with answers

Nets of solids: non-verbal reasoning questions with answers

Which net folds to make a solid.

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 nets of solids questions

  1. Which net folds to make this solid?

    Nets and solidsGiven: a drawing of a pentagonal prism. Options: A: a net of 6 squares: face 1 is a square; face 2 (square) on the top of face 1; face 3 (square) on the bottom of face 1; face 4 (square) on the right of face 1; face 5 (square) on the left of face 1; face 6 (square) on the bottom of face 3 | B: a net of 2 pentagons, 5 rectangles: face 1 is a pentagon; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the right of face 1; face 4 (rectangle) on the bottom left of face 1; face 5 (rectangle) on the left of face 1; face 6 (pentagon) on the bottom left of face 4; face 7 (rectangle) on the bottom of face 6 | C: a net of 2 pentagons, 5 rectangles: face 1 is a rectangle; face 2 (pentagon) on the top of face 1; face 3 (pentagon) on the bottom of face 1; face 4 (rectangle) on the left of face 1; face 5 (rectangle) on the right of face 1; face 6 (rectangle) on the top left of face 2; face 7 (rectangle) on the bottom left of face 6 | D: a net of 2 pentagons, 5 rectangles: face 1 is a rectangle; face 2 (pentagon) on the top of face 1; face 3 (pentagon) on the bottom of face 1; face 4 (rectangle) on the left of face 1; face 5 (rectangle) on the right of face 1; face 6 (rectangle) on the bottom right of face 3; face 7 (rectangle) on the bottom left of face 3 | E: a net of 2 pentagons, 5 rectangles: face 1 is a rectangle; face 2 (pentagon) on the top of face 1; face 3 (pentagon) on the bottom of face 1; face 4 (rectangle) on the left of face 1; face 5 (rectangle) on the right of face 1; face 6 (rectangle) on the bottom left of face 3; face 7 (rectangle) on the left of face 4.ABCDE
    Show the answer to question 1

    Answer: D

    Why:

    The pentagonal prism has 2 pentagons and 5 rectangles. 3 other nets have the same faces, but when they are folded two faces land in the same place and one side is left open.

  2. Which net folds to make this solid?

    Nets and solidsGiven: a drawing of a pentagonal prism. Options: A: a net of 2 pentagons, 5 rectangles: face 1 is a pentagon; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the bottom right of face 1; face 4 (rectangle) on the bottom left of face 1; face 5 (rectangle) on the left of face 1; face 6 (rectangle) on the bottom left of face 4; face 7 (pentagon) on the left of face 5 | B: a net of 2 pentagons, 5 rectangles: face 1 is a rectangle; face 2 (pentagon) on the top of face 1; face 3 (pentagon) on the bottom of face 1; face 4 (rectangle) on the right of face 1; face 5 (rectangle) on the top left of face 2; face 6 (rectangle) on the bottom left of face 3; face 7 (rectangle) on the right of face 4 | C: a net of 2 hexagons, 6 rectangles: face 1 is a rectangle; face 2 (hexagon) on the top of face 1; face 3 (hexagon) on the bottom of face 1; face 4 (rectangle) on the right of face 1; face 5 (rectangle) on the left of face 1; face 6 (rectangle) on the top right of face 2; face 7 (rectangle) on the top of face 2; face 8 (rectangle) on the top left of face 2 | D: a net of 2 pentagons, 5 rectangles: face 1 is a rectangle; face 2 (pentagon) on the top of face 1; face 3 (pentagon) on the bottom of face 1; face 4 (rectangle) on the left of face 1; face 5 (rectangle) on the right of face 1; face 6 (rectangle) on the bottom right of face 3; face 7 (rectangle) on the bottom left of face 3 | E: a net of 2 pentagons, 5 rectangles: face 1 is a pentagon; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the right of face 1; face 4 (rectangle) on the bottom left of face 1; face 5 (rectangle) on the left of face 1; face 6 (pentagon) on the right of face 3; face 7 (rectangle) on the right of face 6.ABCDE
    Show the answer to question 2

    Answer: D

    Why:

    The pentagonal prism has 2 pentagons and 5 rectangles. 3 other nets have the same faces, but when they are folded two faces land in the same place and one side is left open.

  3. Which net folds to make this solid?

    Nets and solidsGiven: a drawing of a triangular prism. Options: A: a net of 2 triangles, 3 rectangles: face 1 is a triangle; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the bottom right of face 1; face 4 (rectangle) on the bottom left of face 1; face 5 (triangle) on the top of face 2 | B: a net of 2 triangles, 3 rectangles: face 1 is a rectangle; face 2 (triangle) on the bottom of face 1; face 3 (rectangle) on the right of face 1; face 4 (rectangle) on the left of face 1; face 5 (triangle) on the bottom of face 4 | C: a net of 2 pentagons, 5 rectangles: face 1 is a pentagon; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the right of face 1; face 4 (rectangle) on the bottom right of face 1; face 5 (rectangle) on the bottom left of face 1; face 6 (rectangle) on the left of face 1; face 7 (pentagon) on the bottom left of face 5 | D: a net of 2 triangles, 3 rectangles: face 1 is a triangle; face 2 (rectangle) on the bottom right of face 1; face 3 (rectangle) on the bottom left of face 1; face 4 (triangle) on the bottom left of face 3; face 5 (rectangle) on the bottom of face 4 | E: a net of 6 squares: face 1 is a square; face 2 (square) on the top of face 1; face 3 (square) on the bottom of face 1; face 4 (square) on the right of face 1; face 5 (square) on the left of face 1; face 6 (square) on the bottom of face 3.ABCDE
    Show the answer to question 3

    Answer: A

    Why:

    The triangular prism has 2 triangles and 3 rectangles. 2 other nets have the same faces, but when they are folded two faces land in the same place and one side is left open.

  4. The net is folded up. Which solid does it make?

    Nets and solidsGiven: a net of 4 triangles: face 1 is a triangle; face 2 (triangle) on the top of face 1; face 3 (triangle) on the bottom right of face 1; face 4 (triangle) on the bottom left of face 1. Options: A: a drawing of a square-based pyramid | B: a drawing of a cube | C: a drawing of a triangular-based pyramid | D: a drawing of a cuboid | E: a drawing of a triangular prism.ABCDE
    Show the answer to question 4

    Answer: C

    Why:

    Count the faces and their shapes: a net of 4 triangles. Folded, they make a triangular-based pyramid.

  5. The net is folded up. Which solid does it make?

    Nets and solidsGiven: a net of 2 pentagons, 5 rectangles: face 1 is a rectangle; face 2 (pentagon) on the top of face 1; face 3 (pentagon) on the bottom of face 1; face 4 (rectangle) on the left of face 1; face 5 (rectangle) on the right of face 1; face 6 (rectangle) on the top right of face 2; face 7 (rectangle) on the left of face 4. Options: A: a drawing of a cuboid | B: a drawing of a cube | C: a drawing of a pentagonal prism | D: a drawing of a triangular-based pyramid | E: a drawing of a hexagonal prism.ABCDE
    Show the answer to question 5

    Answer: C

    Why:

    Count the faces and their shapes: a net of 2 pentagons, 5 rectangles. Folded, they make a pentagonal prism.

  6. The net is folded up. Which solid does it make?

    Nets and solidsGiven: a net of 2 triangles, 3 rectangles: face 1 is a rectangle; face 2 (triangle) on the top of face 1; face 3 (triangle) on the bottom of face 1; face 4 (rectangle) on the right of face 1; face 5 (rectangle) on the left of face 1. Options: A: a drawing of a cube | B: a drawing of a triangular-based pyramid | C: a drawing of a pentagonal prism | D: a drawing of a triangular prism | E: a drawing of a hexagonal prism.ABCDE
    Show the answer to question 6

    Answer: D

    Why:

    Count the faces and their shapes: a net of 2 triangles, 3 rectangles. Folded, they make a triangular prism.

  7. Which net folds to make this solid?

    Nets and solidsGiven: a drawing of a cuboid. Options: A: a net of 4 rectangles, 2 squares: face 1 is a rectangle; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the bottom of face 1; face 4 (square) on the right of face 1; face 5 (rectangle) on the top of face 2; face 6 (square) on the right of face 2 | B: a net of 1 square, 4 triangles: face 1 is a triangle; face 2 (square) on the top of face 1; face 3 (triangle) on the bottom right of face 1; face 4 (triangle) on the bottom left of face 1; face 5 (triangle) on the top of face 2 | C: a net of 2 pentagons, 5 rectangles: face 1 is a pentagon; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the right of face 1; face 4 (rectangle) on the bottom right of face 1; face 5 (rectangle) on the bottom left of face 1; face 6 (rectangle) on the left of face 1; face 7 (pentagon) on the right of face 3 | D: a net of 4 rectangles, 2 squares: face 1 is a rectangle; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the bottom of face 1; face 4 (square) on the left of face 1; face 5 (rectangle) on the left of face 4; face 6 (square) on the top of face 4 | E: a net of 4 rectangles, 2 squares: face 1 is a square; face 2 (rectangle) on the top of face 1; face 3 (rectangle) on the bottom of face 1; face 4 (rectangle) on the left of face 1; face 5 (rectangle) on the right of face 1; face 6 (square) on the top of face 2.ABCDE
    Show the answer to question 7

    Answer: E

    Why:

    The cuboid has 4 rectangles and 2 squares. 2 other nets have the same faces, but when they are folded two faces land in the same place and one side is left open.

  8. The net is folded up. Which solid does it make?

    Nets and solidsGiven: a net of 2 pentagons, 5 rectangles: face 1 is a rectangle; face 2 (pentagon) on the top of face 1; face 3 (pentagon) on the bottom of face 1; face 4 (rectangle) on the right of face 1; face 5 (rectangle) on the left of face 1; face 6 (rectangle) on the top right of face 2; face 7 (rectangle) on the top left of face 2. Options: A: a drawing of a pentagonal prism | B: a drawing of a cuboid | C: a drawing of a square-based pyramid | D: a drawing of a triangular prism | E: a drawing of a hexagonal prism.ABCDE
    Show the answer to question 8

    Answer: A

    Why:

    Count the faces and their shapes: a net of 2 pentagons, 5 rectangles. Folded, they make a pentagonal prism.

Answers

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

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