UNIT 31 Angles and Symmetry: CSEC Revision Test
MEP Jamaica: STRAND I
UNIT 31 Angles and Symmetry
1.
CSEC Revision Test
For each shape below, copy the shape and
(a)
mark all lines of symmetry
(b)
(i)
(ii)
state the order of rotational symmetry.
(4 marks)
2.
Copy and complete each shape below so that they have the stated symmetry.
(a)
(b)
One line of symmetry
No rotational symmetry
Four lines of symmetry
Rotational symmetry of order 4
(4 marks)
3.
Find the size of the angles marked by letters in each figure.
(a)
(b)
b
85˚
a
32˚
(2 marks)
24˚
B
4.
Not to scale
57˚
46˚
A
C
D
(a)
Calculate angle BCD, giving a reason for your answer.
(2 marks)
(b)
Calculate angle ABC, giving a reason for your answer.
(2 marks)
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UNIT 31 Angles and Symmetry: CSEC Revision Test
MEP Jamaica: STRAND I
UNIT 31 Angles and Symmetry
CSEC Revision Test
5.
The diagram shows the Space Shuttle
ride at a theme park.
y
x
45˚
20˚
(a)
Calculate angle x.
Do not measure the angle. (2 marks)
(b)
Calculate angle y.
Do not measure the angle. (2 marks)
70˚
E
6.
The diagram opposite, not drawn to scale,
shows parallel lines AB and CD intersected
by the line EF.
A
56
B
o
Calculate the size of the angle marked
(a)
w
(b)
x.
w x
C
D
y
F
7.
(2 marks)
Calculate the angle marked x in each of the following diagrams.
(a)
(b)
x
x
22˚
(3 marks)
42˚
8.
The diagram has two pairs of parallel lines.
Angles marked p and q are equal.
p
80˚
x
(a)
What geometrical name is given to
this type of equal angles?
(b)
Write down the size of angle r.
(c)
(i)
Write down the size of angle x.
(ii)
What geometrical name is
given to the pair of angles x and q?
Diagram not
accurately drawn
r
q
(4 marks)
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UNIT 31 Angles and Symmetry: CSEC Revision Test
MEP Jamaica: STRAND I
UNIT 31 Angles and Symmetry
9.
CSEC Revision Test
(a)
Calculate the interior angle of a regular hexagon.
(2 marks)
(b)
Calculate the interior angle of a regular pentagon.
(2 marks)
Some brands of football have pieces of leather in the shape of regular hexagons sewn
together with pieces of leather in the shape of regular pentagons as shown.
Not to scale
(c)
10.
Use your answers to (a) and (b) to explain why it is not possible to draw a
tessellation using a combination of these two shapes.
(2 marks)
ABCDE is a regular pentagon.
O is the centre of the pentagon.
B
C
y
Diagram not
accurately
drawn
x
O
A
D
E
(a)
(b)
(i)
Write down the order of rotational symmetry of the regular pentagon.
(ii)
Write down the number of lines of symmetry of triangle OCD.
(2 marks)
Work out the value of
(i)
x
(ii)
y.
(3 marks)
TOTAL MARKS: 38
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MEP Jamaica: STRAND I
UNIT 31 Angles and Symmetry: CSEC Revision Test
UNIT 31 Angles and Symmetry
CSEC Revision Test
ANSWERS
1.
(a)
(i)
(ii)
B1 B1
(b)
2.
(i) Order 1
(ii) Order 4
(a)
B1 B1
(4 marks)
B2 B2
(4 marks)
B1 B1
(2 marks)
(b)
3.
(a) 116˚
(b) 71˚
4.
(a) 134˚, angles on a straight line are supplementary.
B1 B1
(b) 77˚ , angles in a triangle are supplementary.
B1 B1
(4 marks)
M1 A1 M1 A1
(4 marks)
B1 B1
(2 marks)
B1 B2
(3 marks)
5.
(a)
115˚
(b) 135˚
6.
(a)
56°
(b)
7.
(a)
x = 138˚
(b) x = 44˚
8.
(a)
Corresponding angles
(c)
(i) 80˚ (ii) Alternate angles
9.
(a) 120˚
124°
(b) 80˚
B1 B1
B1 B1
(b) 108˚
B2 B2
(c) Angles at a vertex cannot equal 360˚.
10.
(a) (i) 5
(ii) 1
(4 marks)
B2
(b) (i) 72˚
(ii) 54˚
(6 marks)
B1 B1 M1 A1 B1
(5 marks)
TOTAL MARKS: 38
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