daveprakdotcom.files.wordpress.com · Web viewIB2 - DPR - Mixed Trigonometry Questions. Question 1. Work out angle x . (3 marks) Question 2. Triangle ABC is right-angled at B.AB

IB2 - DPR - Mixed Trigonometry Questions

Question 1

Work out angle x .

.......................... ❑°

(3 marks)

Question 2

Triangle ABC is right-angled at B.AB = 20 cm, correct to 1 significant figure.BC = 8.3 cm, correct to 2 significant figures.

Calculate the lower bound for the value of tan x° .

..........................

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(3 marks)

Question 3

Determine the angle θ , giving your answer correct to 3 significant figures.

.......................... ❑°

Question 4

Here is a quadrilateral .

Angle is acute.

Work out the size of angle .Give your answer correct to 1 decimal place.

.......................... ❑°

(6 marks)


Question 5

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

.......................... c m2

(6 marks)

Question 6


A, B and L are points on a circle, centre O.AB is a chord of the circle.M is the midpoint of AB.LOM is a straight line.

AB = 24cm. LM = 18cm.

Calculate the diameter of the circle.

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

(4 marks)

Question 7

is a trapezium.

Work out the size of angle x .Give your answer correct to 1 decimal place.

.......................... ❑°

(4 marks)

Question 8

ABC is a triangle.


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

.......................... c m2

(2 marks)

Question 9

The diagram shows a triangular prism.

cm, cm and cm.Angle = angle = angle BC D=90°

Work out the size of the angle between the line and the plane .Give your answer correct to 1 decimal place.

.......................... ❑°

(3 marks)


Question 10

The diagram shows a solid cone.The base of the cone is a horizontal circle, centre O, with radius 4.5 cm.AB is a diameter of the base and OV is the vertical height of the cone.The curved surface area of the cone is 130 cm2.

Calculate the size of the angle AVB.

Give your answer correct to 1 decimal place.

.......................... ❑°

(4 marks)

Question 11

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.

Given that cm correct to 3 significant figures, calculate the total area of the metal plate.Give your answer correct to 3 significant figures.

.......................... c m2

(4 marks)

Question 12

ABCDEF is a triangular prism.AB = 9 cm, BC = 15 cm and AE = 12 cm.Angle ABC = 90 .�M is the midpoint of CD.

Calculate the size of the angle between AM and the plane BCDF.Give your answer correct to 1 decimal place.

.......................... ❑°

(5 marks)

Question 13


AC = 8 cm.AB = 3 cm.DE = 19 cm.Angle ABC = angle CBD = angle BDE = 90 .�Angle BDC = 50 . �

Calculate the length of CD.Give your answer correct to 3 significant figures.

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

(4 marks)

Question 14

The lengths of the sides of a triangle are 4.2 cm, 5.3 cm and 7.6 cm.

The angle included between the sides of length 4.2 cm and 5.3 cm is equal to 105.7° .

Calculate the area of the triangle.Give your answer correct to 3 significant figures.

.......................... c m2

Question 15

ABC is an isosceles triangle.


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

.......................... c m2

(4 marks)

Question 16

B, C and D are points on a circle, centre O.BOD is a diameter of the circle.AB is the tangent to the circle at B.AO = 8 cm. Angle BAO = 30 Angle � CBD = 63 �

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

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

(4 marks)

Question 17

The diagram shows a pyramid with base .


is perpendicular to both and .Angle C BD=34° Angle A DB=45° Angle DB A=60° cm.

Calculate the size of the angle between the line and the plane .Give your answer correct to 1 decimal place.

.......................... ❑°

(5 marks)

Question 18

In triangle PQR,

PQ = 10.5 cm,PR = 8.3 cm.angle QPR = 62 . �


Calculate the area of triangle PQR.

Give your answer correct to 3 significant figures.

.......................... c m2

(2 marks)

Question 19

The diagram shows a cuboid ABCDPQRS and a pyramid PQRSV.V is directly above the centre, X, of ABCD.

The total height, VX, is 5 metres.

Work out the angle between the planes VQR and PQRS.

.......................... ❑°

(2 marks)


Question 20

The diagram shows a regular hexagon.The perimeter of the hexagon is 42 cm.

Calculate the area of the hexagon.Give your answer correct to 3 significant figures.

.......................... c m2

(5 marks)


Answers

Question 1

102.6 ❑°

Question 2

0.33

Question 3

29.4 ❑°

Question 4

91.4 ❑°

Question 5

14.3 c m2


Question 6

26 cm

Question 7

any value in the range 123.5 ❑° to 123.6 ❑°

Question 8

any value in the range 18.1 c m2 to 18.2 c m2

Question 9


Question 10

58.6 ❑°


Question 11

any value in the range 61.5 c m2 to 61.6 c m2

Question 12


Question 13

any value in the range 9.67 cm to 9.69 cm

Question 14

10.7 c m2

Question 15

any value in the range 49.2 c m2 to 50 c m2


Question 16

3.63 cm

Question 17


Question 18

38.5 c m2


Question 19

21.8 ❑°

Question 20

127 c m2


daveprakdotcom.files.wordpress.com · Web viewIB2 - DPR - Mixed Trigonometry Questions. Question 1. Work out angle x . (3 marks) Question 2. Triangle ABC is right-angled at B.AB

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