Week 9 Prep Year 10 Trigonometry Questions

Q1.

 

Work out the area of triangle ABC. Give your answer correct to 3 significant figures.

........................................................... m2

(Total for question = 4 marks) Q2.

 

The diagram shows a triangle ABC. AB = (2x + 1) cm, AC = (2x − 1) cm and BC = 2 7 cm. Angle BAC = 60°

Work out the value of x. Show clear algebraic working.

x = ...........................................................

(Total for question = 3 marks)

Q3. 

The diagram shows a metal plate.

The metal plate is made from a sector OAB of a circle, centre O, and a triangle OCB.

Angle AOB = 65° Angle OCB = 35° OA = OB = 8 cm. AOC is a straight line.

(a)   Calculate the length of BC. Give your answer correct to 3 significant figures.

........................................................... cm

(3)

(b)   Calculate the total area of the metal plate. Give your answer correct to 3 significant figures.

........................................................... cm2

(4)

(Total for Question is 7 marks)

Q4.Triangles ABC and ACD are similar.

Angle BAC = angle CAD. Angle ABC = angle ACD.AB = 5 cm and AC = 8 cm.(a) Calculate the length of AD.

...........................................................cm(2)

The area of triangle ABC is 12 cm2

(b) Calculate the area of triangle ACD.

...........................................................cm2

(2)

(Total for question = 4 marks)

Q5. 

ABC is an arc of a circle with centre O and radius 8 cm. AC is a chord of the circle. Angle AOC = 120°

Calculate the perimeter of the shaded segment. Give your answer correct to 3 significant figures.

........................................................... cm

(Total for question = 5 marks)

Q6. 

The diagram shows two triangles, A and B.

The area of triangle B is 3 times the area of triangle A.

Given that b > 4, find an expression for a in terms of b.

a = ...........................................................

 

(Total for question = 5 marks)

Q7. 

A, B and C are three towns.

The bearing of B from A is 105° The bearing of C from B is 230°

The distance of C from A is 180 km. The distance of C from B is 95 km.

Calculate the distance of B from A. Give your answer correct to 3 significant figures.

........................................................... km

 

(Total for question = 5 marks) 

Mark Scheme

Q1. 

 

Q2.

Q3. 

Q4.

Q5. 

The correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.

 

Q6. 

The correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.

 

Q7.