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.
