Shapes worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

1. 2 marks

   A polygon is named after the number of sides it has.

   (a)

   A polygon has \(8\) sides.

   Write down the mathematical name of the polygon.

   (b)

   How many sides does a quadrilateral have?

2. 1 mark

   Here is a quadrilateral.

   State the mathematical name of the quadrilateral.

3. 1 mark

   Hafsa is thinking of a quadrilateral. She says:

   "My shape has opposite sides that are equal and parallel, no right angles, and no lines of symmetry."

   State the mathematical name of Hafsa's quadrilateral.

4. 2 marks

   Here is a regular decagon.

   (a)

   State the number of lines of symmetry of the shape.

   (b)

   State the order of rotational symmetry of the shape.

5. 2 marks

   The diagram shows an isosceles trapezium.

   (a)

   Write down the number of lines of symmetry of the isosceles trapezium.

   (b)

   Write down the order of rotational symmetry of the isosceles trapezium.

6. 3 marks

   The diagram shows the quadrilateral \(DEFG\).

   (a)

   Write down the side that is parallel to \(DE\).

   (b)

   Write down the side that is perpendicular to \(DE\).

   (c)

   Write down the mathematical name of the quadrilateral \(DEFG\).

7. 1 mark

   Priya draws a quadrilateral. Its two diagonals are equal in length and cut each other exactly in half, but do not cross at right angles.

   State the mathematical name of Priya's quadrilateral.

8. 2 marks

   A polygon is named after the number of sides it has.

   (a)

   A polygon has \(7\) sides.

   State the mathematical name of the polygon.

   (b)

   How many sides does an octagon have?

9. 1 mark

   Here is a quadrilateral.

   Write down the mathematical name of the quadrilateral.

10. 1 mark

    Callum is thinking of a quadrilateral. He says:

    "My shape has exactly one pair of parallel sides."

    State the mathematical name of Callum's quadrilateral.

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