11+ Entrance Non-Verbal Reasoning: 3D Shapes Questions and Answers

Question 1

A 2D net of a cube is shown.
The faces have a circle, a square, and a triangle.
The square is in the centre.
The circle is on the face above the square, and the triangle is on the face to the right of the square.
Which of the following cubes can be made by folding this net?

Accepted Answer

{"answer":"A cube showing the square on the front, the circle on the top, and the triangle on the right face.","image":null}

Answer

{"answer":"A cube showing the square on the front, the triangle on the top, and the circle on the right face.","image":null}

Answer

{"answer":"A cube showing the circle and the square on adjacent faces, with the triangle on the opposite face to the square.","image":null}

Answer

{"answer":"A cube showing the square on the front, the circle on the top, and the triangle on the left face.","image":null}

Question 2

A 3D shape is constructed by stacking identical cubes on a flat surface. The front view shows a stack of 3 cubes, a stack of 2 cubes, and a stack of 1 cube from left to right. The side view from the right shows a single column of 3 cubes. What is the minimum number of cubes needed to build this shape?

Accepted Answer

{"answer":"6","image":null}

Answer

{"answer":"8","image":null}

Answer

{"answer":"7","image":null}

Answer

{"answer":"9","image":null}

Question 3

An L-shaped 3D object is made from four cubes in a line, with one additional cube placed on top of the second cube from the end. An arrow indicates you are looking at the object from the front. Which of the options correctly shows the view of the object from the right-hand side?

Accepted Answer

{"answer":"A single column of two cubes.","image":null}

Answer

{"answer":"A shape like the letter 'T'.","image":null}

Answer

{"answer":"A single column of three cubes.","image":null}

Answer

{"answer":"A horizontal row of four squares.","image":null}

Question 4

A 3D shape is shown, which has a grey cylinder as a base and a white cone on top. Which of the options below shows the same shape after it has been rotated 90 degrees forward (top towards you)?

Accepted Answer

{"answer":"The shape lying on its side, with the white cone point facing you and the grey cylinder extending behind it.","image":null}

Answer

{"answer":"The same shape, but with a grey cone and a white cylinder.","image":null}

Answer

{"answer":"The shape lying on its side, with the grey circular base of the cylinder facing you and the white cone point to the right.","image":null}

Answer

{"answer":"The shape is upside down, with the white cone at the bottom and the grey cylinder on top.","image":null}

Question 5

A pile of cubes is shown. The bottom layer is a solid 3x3 square of cubes. The second layer is a 2x2 square of cubes centred on top of the bottom layer. The top layer is a single cube placed in the centre of the second layer. How many cubes are in the pile in total?

Accepted Answer

{"answer":"14","image":null}

Answer

{"answer":"13","image":null}

Answer

{"answer":"9","image":null}

Answer

{"answer":"10","image":null}

Question 6

Two 3D shapes are shown: a triangular prism and a cube of the same width. Which of the following shapes can be made by joining these two shapes together on one of their square faces?

Accepted Answer

{"answer":"A shape resembling a house with a pitched roof.","image":null}

Answer

{"answer":"A larger cube.","image":null}

Answer

{"answer":"A hexagonal prism.","image":null}

Answer

{"answer":"A square-based pyramid.","image":null}

A 2D net of a cube is shown.The faces have a circle, a square, and a triangle.The square is in the centre.The circle is on the face above the square, and the triangle is on the face to the right of the square.Which of the following cubes can be made by folding this net?

A 2D net of a cube is shown.
The faces have a circle, a square, and a triangle.
The square is in the centre.
The circle is on the face above the square, and the triangle is on the face to the right of the square.
Which of the following cubes can be made by folding this net?