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IGCSE Math B6.E SymmetryTopic Practice

6.E Symmetry

Symmetry about a point, line or plane Recognise line and rotational symmetry Complete shapes with a given axis ofsymmetry and order of rotational symmetry

Question 1

[Maximum number: 2]
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A pattern is made with grey and white squares.

Question 1(a)

(a)

Write down the order of rotational symmetry for this pattern.

[ 1 ]

Question 1(b)

(b)
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Shade, on the grid below, exactly 5 squares to make a pattern with 4 lines of symmetry.

[ 1 ]

Question 2

[Maximum number: 2]

A pattern is made using a four by four grid with both grey squares and white squares.

Question 2(a)

(a)
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Shade one more square to make a pattern with exactly one line of symmetry.

[ 1 ]

Question 2(b)

(b)
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Shade two more squares to make a pattern that has rotational symmetry of order 2.

[ 1 ]

Question 2

[Maximum number: 2]
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A pattern is made with white squares and shaded squares.

Question 2(a)

(a)

Shade one more square to make a pattern with rotational symmetry of order 2.

[ 1 ]

Question 2(b)

(b)
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Here is a different pattern made from white squares and shaded squares.

Shade one more square to make a pattern with exactly one line of symmetry.

[ 1 ]

Question 3

A pattern on a white grid is made from 6 shaded squares.

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Shade exactly 2 more squares so that the 8 shaded squares will make a pattern with rotational symmetry of order 4

Question 4

[Maximum number: 2]
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Write down

Question 4(a)

(a)

the number of lines of symmetry of the figure,

[ 1 ]

Question 4(b)

(b)

the order of rotational symmetry of the figure.

[ 1 ]

Question 4

Question 4(a)

(a)

Write down the order of rotational symmetry of a regular hexagon.

[ 1 ]

Question 4(b)

(b)
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A shape is made from a regular hexagon and a square.
The vertices of the square lie on the sides of the hexagon.

For this shape, write down the number of lines of symmetry.

[ 1 ]

Question 3

A pattern is made with white squares and shaded squares.
(a)

Question image

Shade one more square to make a pattern with exactly 1 line of symmetry.
(1)
(b)

Question image

Shade one more square to make a pattern with rotational symmetry of order 2

Question 8

[Maximum number: 2]
Question image

Write down

Question 8(a)

(a)

the number of lines of symmetry of the figure,

[ 1 ]

Question 8(b)

(b)

the order of rotational symmetry of the figure.

[ 1 ]
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