igureMaths
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Browse Angles & polygons
50 questions at your level
Difficulty
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Level 1
Level 2
Level 3
Level 4
Level 5
Angle rules & giving reasons
13 questions
Lesson
Not started
Mark as done
A
B
C
ABC
A
B
C
is a triangle with
A
B
=
A
C
AB = AC
A
B
=
A
C
.
B
C
D
BCD
B
C
D
is a straight line.
Angle
B
A
C
=
44
°
BAC = 44°
B
A
C
=
44°
.
44°
x
A
B
C
D
Diagram NOT accurately drawn
Work out the size of the angle marked
x
x
x
. You must give reasons for each stage of your working.
●●●
●●
Level 3
5 marks
Start
→
Mark as done
The diagram shows a triangle.
(2x + 10)°
(3x − 20)°
(x + 40)°
Diagram NOT accurately drawn
Work out the size of the largest angle of the triangle.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
The diagram shows four angles meeting at a point.
114°
2x°
x°
Diagram NOT accurately drawn
Work out the size of the angle marked
2
x
°
2x°
2
x
°
.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
Triangle
P
Q
R
PQR
P
QR
has
P
Q
=
P
R
PQ = PR
P
Q
=
P
R
.
Angle
P
Q
R
=
65
°
PQR = 65°
P
QR
=
65°
.
65°
P
Q
R
Diagram NOT accurately drawn
Work out the size of angle
Q
P
R
QPR
QP
R
. Give a reason for each stage of your working.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
The diagram shows two straight lines crossing at a point.
(3x + 10)°
76°
Diagram NOT accurately drawn
Work out the value of
x
x
x
. Give a reason for your answer.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
A
F
B
AFB
A
F
B
and
C
H
G
D
CHGD
C
H
G
D
are parallel lines.
E
F
G
EFG
E
F
G
and
F
H
FH
F
H
are straight lines.
104°
52°
A
B
C
D
E
F
G
H
Show that triangle
F
G
H
FGH
F
G
H
is isosceles.
Give a reason for each stage of your working.
(5 marks)
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●●
Level 3
5 marks
Start
→
Angles in parallel lines
17 questions
Lesson
Not started
Mark as done
The diagram shows two parallel lines crossed by a straight line.
118°
y°
z°
Diagram NOT accurately drawn
(a)
Work out the size of the angle marked
y
y
y
. Give a reason for your answer.
(b)
Write down the size of the angle marked
z
z
z
. Give a reason for your answer.
●●●
●●
Level 3
4 marks
Start
→
Mark as done
The diagram shows two parallel lines crossed by a straight line.
71°
y°
z°
Diagram NOT accurately drawn
(a)
Write down the size of the angle marked
y
y
y
. Give a reason for your answer.
(b)
Work out the size of the angle marked
z
z
z
. Give a reason for your answer.
●●●
●●
Level 3
4 marks
Start
→
Mark as done
The diagram shows two parallel lines and a straight line crossing them.
(2x + 30)°
(3x − 10)°
Diagram NOT accurately drawn
Work out the value of
x
x
x
. (3 marks)
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●●
Level 3
3 marks
Start
→
Mark as done
A
F
B
AFB
A
F
B
and
C
H
G
D
CHGD
C
H
G
D
are parallel lines.
E
F
G
EFG
E
F
G
and
F
H
FH
F
H
are straight lines.
104°
52°
A
B
C
D
E
F
G
H
Show that triangle
F
G
H
FGH
F
G
H
is isosceles.
Give a reason for each stage of your working.
(5 marks)
●●●
●●
Level 3
5 marks
Start
→
Mark as done
P
Q
R
S
PQRS
P
QR
S
is a quadrilateral.
4x − 5
3x + 10
5x − 20
3x
P
Q
R
S
The angles are measured in degrees.
Show that
P
Q
R
S
PQRS
P
QR
S
is a trapezium.
(4 marks)
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●●
Level 3
4 marks
Start
→
Interior & exterior angles of polygons
22 questions
Lesson
Not started
Mark as done
Each interior angle of a regular polygon is
162
°
162°
162°
.
Work out the number of sides of the polygon.
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●●
Level 3
3 marks
Start
→
Mark as done
The diagram shows a pentagon.
97°
134°
83°
x°
112°
Diagram NOT accurately drawn
Work out the size of the angle marked
x
x
x
.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
Each exterior angle of a regular polygon is
24
°
24°
24°
.
Work out the number of sides of the polygon.
●●●
●●
Level 3
2 marks
Start
→
Mark as done
(a)
The size of each interior angle of a regular polygon is
156
°
156°
156°
Work out the number of sides of the polygon. (3 marks)
(b)
A different regular polygon has
12
12
12
sides.
Work out the size of each interior angle of this polygon. (1 mark)
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●●
Level 3
4 marks
Start
→
Mark as done
P
Q
R
S
PQRS
P
QR
S
is a quadrilateral.
4x − 5
3x + 10
5x − 20
3x
P
Q
R
S
The angles are measured in degrees.
Show that
P
Q
R
S
PQRS
P
QR
S
is a trapezium.
(4 marks)
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●●
Level 3
4 marks
Start
→
Mark as done
P
Q
PQ
P
Q
,
Q
R
QR
QR
,
R
S
RS
R
S
and
S
T
ST
S
T
are four sides of a regular polygon with
n
n
n
sides.
P
Q
R
S
T
U
V
W
Q
R
U
V
W
QRUVW
QR
U
V
W
is a regular pentagon.
R
S
U
RSU
R
S
U
is an equilateral triangle.
Work out the value of
n
n
n
.
You must show all your working.
(4 marks)
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Level 3
4 marks
Start
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