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Pythagoras & right-angled trigonometry
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Browse Pythagoras & right-angled trigonometry
54 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Pythagoras' theorem
24 questions
Lesson
Not started
Mark as done
The diagram shows a right-angled triangle.
9 cm
x
12 cm
Diagram NOT accurately drawn
Work out the length of
x
x
x
.
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Level 2
3 marks
Start
→
Mark as done
The diagram shows a right-angled triangle.
12 cm
5 cm
x
Diagram NOT accurately drawn
Work out the value of
x
x
x
.
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●●●
Level 2
2 marks
Start
→
Mark as done
The diagram shows a right-angled triangle.
5 cm
12 cm
Diagram NOT accurately drawn
(a)
Work out the length of the hypotenuse. (2 marks)
(b)
Work out the area of the triangle. (1 mark)
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Level 2
3 marks
Start
→
Mark as done
A
B
C
ABC
A
B
C
is a right-angled triangle.
7.4 cm
5.9 cm
A
B
C
Diagram NOT accurately drawn
A
B
=
7.4
AB = 7.4
A
B
=
7.4
cm and
B
C
=
5.9
BC = 5.9
B
C
=
5.9
cm.
Work out the length of
A
C
AC
A
C
.
Give your answer correct to 1 decimal place. (3 marks)
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Level 2
3 marks
Start
→
Mark as done
A
A
A
is the point
(
−
2
,
3
)
(-2, 3)
(
−
2
,
3
)
and
B
B
B
is the point
(
4
,
11
)
(4, 11)
(
4
,
11
)
.
(a)
Work out the length of
A
B
AB
A
B
. [3]
(b)
Work out the gradient of the line
A
B
AB
A
B
. [1]
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Level 2
4 marks
Start
→
Right-angled trigonometry (SOHCAHTOA)
31 questions
Lesson
Not started
Mark as done
Here is a right-angled triangle.
8 cm
6 cm
x
Diagram NOT accurately drawn
Work out the size of angle
x
x
x
. Give your answer to 1 decimal place.
●●
●●●
Level 2
2 marks
Start
→
Mark as done
Here is a right-angled triangle.
y
10 cm
30°
Diagram NOT accurately drawn
Work out the length
y
y
y
.
●●
●●●
Level 2
2 marks
Start
→
Mark as done
9.5 cm
6.2 cm
x
P
Q
R
Diagram NOT accurately drawn
P
Q
R
PQR
P
QR
is a right-angled triangle.
P
Q
=
9.5
PQ = 9.5
P
Q
=
9.5
cm and
Q
R
=
6.2
QR = 6.2
QR
=
6.2
cm.
Work out the size of the angle marked
x
x
x
.
Give your answer correct to 1 decimal place. (3 marks)
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Level 2
3 marks
Start
→
Mark as done
A ladder of length
5
5
5
m leans against a vertical wall. The ladder makes an angle of
70
°
70°
70°
with the horizontal ground.
(a)
How far up the wall does the ladder reach? Give your answer correct to 2 decimal places. [2]
(b)
How far is the foot of the ladder from the wall? Give your answer correct to 2 decimal places. [2]
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Level 2
4 marks
Start
→
Mark as done
From a point on level ground
40
40
40
m from the base of a vertical tower, the angle of elevation of the top of the tower is
38
°
38°
38°
.
(a)
Work out the height of the tower. Give your answer correct to 3 significant figures. [2]
(b)
Work out the distance from the point to the top of the tower. Give your answer correct to 3 significant figures. [2]
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Level 2
4 marks
Start
→