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Questions
Q1.
Work out the value of x.
...........................................................
(Total for question = 2 marks)
Q2.
Work out the value of x.
...........................................................
(Total for question = 2 marks)
Q3.
The diagram shows the positions of three turbines A, B and C.
Diagram NOT accurately drawn
A is 6 km due north of turbine B. C is 4.5 km due west of turbine B.
(a) Calculate the distance AC.
...........................................................km(3)
(b) Calculate the bearing of C from A. Give your answer correct to the nearest degree.
...........................................................°(4)
(Total for Question is 7 marks)
Q4.
Here is triangle PQR.
The length of QR is 60% of the length of PR.
Find the value of sin QPR. Give your answer correct to 3 significant figures.
...........................................................
(Total for question = 3 marks)
Q5.
The diagram shows triangle ABC.
ADC and DEB are straight lines.
AD = 4.4 cm BC = 8.6 cm E is the midpoint of DB.
Angle CDB = 90° Angle DCB = 40°
Work out the size of angle EAD. Give your answer correct to 1 decimal place. You must show all your working.
........................................................... °
(Total for question = 4 marks)
Q6.
The diagram shows a triangular prism.
The base, ABCD, of the prism is a square of side length 15 cm. Angle ABE and angle CBE are right angles. Angle EAB = 35°
M is the point on DA such that
DM : MA = 2 : 3
Calculate the size of the angle between EM and the base of the prism. Give your answer correct to 1 decimal place.
........................................................... °
(Total for question = 4 marks)
Q7.
The diagram represents a metal frame.
The frame is made from four metal bars, AB, AC, BC and BD.
Angle ABC = angle ADB = 90° AB = 5 m BC = 3 m
Work out the total length of the four metal bars of the frame. Give your answer correct to 3 significant figures.
........................................................... m
(Total for question = 5 marks)
Q8.
* The diagram shows a ladder leaning against a vertical wall.
The ladder stands on horizontal ground.
The length of the ladder is 6 m. The bottom of the ladder is 2.25 m from the bottom of the wall.
A ladder is safe to use when the angle marked y is about 75°.
Is the ladder safe to use? You must show all your working.
(Total for Question is 3 marks)
Q9.
ADB and AEC are straight lines. DE is parallel to BC.
Angle ABC = 90° AC = 10 cm. BC = 6 cm.
D is the midpoint of AB.
Work out the area of trapezium BCED.
........................................................... cm2
(Total for question = 4 marks)
Q10.
ABC is a right-angled triangle. D is a point on AB.
Angle ACD = 30° AD = 10.4 cm DB = 5.2 cm AC = 18 cm
Work out the size of the angle marked x. Give your answer correct to 1 decimal place.
........................................................... °
(Total for question = 4 marks)
Mark Scheme
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Q2.
Q3.
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Q5.
Q6.
Q7.
Q8.
Q9.
Q10.
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