Key Stage 2 (KS2) · Mathematics

Properties of Shapes: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Properties of Shapes.

10 questions21 marksFree, no account

Question 1

1 mark

Which of the following statements about a rhombus is not always true?

Question 2

1 mark

A quadrilateral has exactly one pair of parallel sides. Two of its interior angles are right angles. What is the most specific name for this shape?

Question 3

1 mark

A shape is made by attaching a square with side length \(6\) cm to one of the longer sides of a rectangle that measures \(10\) cm by \(6\) cm. What is the total perimeter of the new combined shape if the shared side is hidden inside the shape?

Question 4

1 mark

Which of the following 3D shapes has exactly 4 faces, 4 vertices, and 6 edges?

Question 5

1 mark

Which property is shared by both a rectangle and a parallelogram?

Question 6

2 marks

Identify the 3D shape that has 6 identical square faces, 12 edges, and 8 vertices.

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Question 7

5 marks

A quadrilateral has two pairs of equal adjacent sides, but opposite sides are not equal. One of its diagonals is a line of symmetry and bisects the other diagonal at a right angle. What is the name of this shape, and how many pairs of equal opposite angles does it have?

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Question 8

2 marks

Identify the 3D shape that has 2 circular bases and 1 curved surface. How many edges does this shape have?

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Question 9

3 marks

Consider a 3D shape with 8 vertices, 12 edges, and 6 faces. All its faces are identical squares.
(a) What is the name of this 3D shape?
(b) If each edge of this shape is \( 5\text{ cm} \) long, what is the total length of all its edges?
(c) What is the total surface area of this shape?

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Question 10

4 marks

Identify the properties of the following 2D shapes:
(a) A shape has 4 sides of equal length and no right angles. What is the specific name of this quadrilateral?
(b) How many lines of symmetry does a regular hexagon have?
(c) If a triangle has one angle of \(90^{\circ}\) and two sides of equal length, what are the sizes of the other two angles?

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