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

Q1. 

 

Q2. 

 

Q3. 

Q4. 

 

Q5. 

 

Q6. 

 

Q7. 

 

Q8.

 

Q9. 

 

Q10.