igureMaths
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50 questions at your level
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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
The diagram shows a quadrilateral.
(2x − 10)°
(4x + 15)°
(x + 50)°
(3x + 5)°
Diagram NOT accurately drawn
(a)
Work out the size of the smallest angle of the quadrilateral.
(b)
Explain how you can check that your four angles are correct.
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Level 4
5 marks
Start
→
Mark as done
The diagram shows a quadrilateral.
x°
85°
95°
2x°
Diagram NOT accurately drawn
Work out the value of
x
x
x
. Give a reason for your answer.
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Level 4
3 marks
Start
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Angles in parallel lines
17 questions
Lesson
Not started
Mark as done
P
Q
PQ
P
Q
and
R
S
RS
R
S
are parallel straight lines.
A
A
A
is a point on
P
Q
PQ
P
Q
, and
B
B
B
and
C
C
C
are points on
R
S
RS
R
S
with
A
B
=
A
C
AB = AC
A
B
=
A
C
.
Angle
P
A
B
=
48
°
PAB = 48°
P
A
B
=
48°
.
48°
P
Q
R
S
A
B
C
Diagram NOT accurately drawn
Work out the size of angle
B
A
C
BAC
B
A
C
. You must give reasons for each stage of your working.
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Level 4
4 marks
Start
→
Mark as done
The diagram shows two parallel lines crossed by a straight line.
(3x + 20)°
(2x − 15)°
Diagram NOT accurately drawn
(a)
Work out the value of
x
x
x
.
(b)
Work out the size of the smaller of the two marked angles.
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Level 4
4 marks
Start
→
Mark as done
The diagram shows two parallel lines crossed by a straight line.
70°
(2x + 30)°
Diagram NOT accurately drawn
Work out the value of
x
x
x
. Give a reason for your answer.
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Level 4
3 marks
Start
→
Mark as done
A
P
B
APB
A
P
B
and
Q
R
QR
QR
are parallel straight lines.
P
P
P
is joined to
Q
Q
Q
and to
R
R
R
.
Angle
P
Q
R
=
68
°
PQR = 68°
P
QR
=
68°
. Angle
Q
P
R
=
47
°
QPR = 47°
QP
R
=
47°
.
68°
47°
A
P
B
Q
R
Diagram NOT accurately drawn
Work out the size of angle
R
P
B
RPB
R
P
B
. Give a reason for each stage of your working.
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●
Level 4
4 marks
Start
→
Mark as done
P
Q
R
PQR
P
QR
is a triangle.
P
Q
R
S
T
P
S
Q
PSQ
P
S
Q
and
P
T
R
PTR
P
T
R
are straight lines.
S
T
ST
S
T
is parallel to
Q
R
QR
QR
.
(a)
Prove that triangle
P
Q
R
PQR
P
QR
is similar to triangle
P
S
T
PST
P
S
T
.
(2 marks)
S
T
=
12
ST = 12
S
T
=
12
cm \qquad
Q
R
=
20
QR = 20
QR
=
20
cm \qquad
P
R
=
35
PR = 35
P
R
=
35
cm
(b)
Work out the length of
T
R
TR
T
R
.
(3 marks)
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Level 4
5 marks
Start
→
Interior & exterior angles of polygons
22 questions
Lesson
Not started
Mark as done
The diagram shows a regular pentagon and a regular hexagon which have a common edge.
a°
Diagram NOT accurately drawn
Work out the size of the angle marked
a
a
a
.
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Level 4
4 marks
Start
→
Mark as done
Each interior angle of a regular polygon
P
P
P
is 4 times the size of each exterior angle.
(a)
Work out the number of sides of polygon
P
P
P
.
Each interior angle of a regular polygon
Q
Q
Q
is
6
°
6°
6°
bigger than each interior angle of polygon
P
P
P
.
(b)
Work out the number of sides of polygon
Q
Q
Q
.
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●
Level 4
5 marks
Start
→
Mark as done
Five of the interior angles of a hexagon are
130
°
130°
130°
,
145
°
145°
145°
,
105
°
105°
105°
,
118
°
118°
118°
and
132
°
132°
132°
.
Work out the size of the sixth interior angle.
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Level 4
3 marks
Start
→
Mark as done
The sum of the interior angles of a polygon is
1440
°
1440°
1440°
.
(a)
Work out the number of sides of the polygon.
The polygon is regular.
(b)
Work out the size of each exterior angle.
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Level 4
3 marks
Start
→
Mark as done
Here is a pentagon.
104°
127°
141°
P
Q
R
S
T
Angle
P
T
S
=
3
×
PTS = 3 \times
P
T
S
=
3
×
angle
P
Q
R
PQR
P
QR
Work out the size of angle
P
T
S
PTS
P
T
S
.
You must show all your working.
(4 marks)
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Level 4
4 marks
Start
→