Questions

Q1.

ABC is an isosceles triangle.

Work out the area of the triangle.

Give your answer correct to 3 significant figures.

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

2

(Total for Question is 4 marks)

Q2.

The diagram shows a sketch of the graph of y = cos x°

(a) Write down the coordinates of the point A.

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

(1)

(b) On the same diagram, draw a sketch of the graph of y = 2 cos x°

(1)

(Total for Question is 2 marks)

Q3.

The diagram shows part of a sketch of the curve y = sin x°.

(a) Write down the coordinates of the point P.

(.............................. , ..............................)

(1)

(b) Write down the coordinates of the point Q.

(.............................. , ..............................)

(1)

Here is a sketch of the curve y = a cos bx° + c, 0 ≤ x ≤ 360

(c) Find the values of a, b and c.

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

b =...........................................................

c =...........................................................

(3)

(Total for Question is 5 marks)

Q4.

Diagram NOT accurately drawn

ABC is a triangle.

AB = 8.7 cm.

Angle ABC = 49°.

Angle ACB = 64°.

Calculate the area of triangle ABC.

Give your answer correct to 3 significant figures.

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

2

(Total for Question is 5 marks)

Q5.

ABC is a triangle.

D is a point on AC.

Angle BAD = 45°

Angle ADB = 80°

AB = 7.4 cm

DC = 5.8 cm

Work out the length of BC.

Give your answer correct to 3 significant figures.

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

(Total for question = 5 marks)

Q6.

The diagram shows triangle LMN.

Calculate the length of LN.

Give your answer correct to 3 significant figures.

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

(Total for Question is 5 marks)

Q7.

ABCD is a quadrilateral.

Diagram NOT accurately drawn

Work out the length of DC.

Give your answer correct to 3 significant figures.

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

(Total for Question is 6 marks)

Q8.

In triangle RPQ,

RP = 8.7 cm

PQ = 5.2 cm

Angle PRQ = 32°

(a) Assuming that angle PQR is an acute angle,

calculate the area of triangle RPQ.

Give your answer correct to 3 significant figures.

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

2

(4)

(b) If you did not know that angle PQR is an acute angle, what effect would this have on your calculation of

the area of triangle RPQ?

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

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

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

(1)

(Total for question = 5 marks)

Q9.

Jerry wants to cover a triangular field, ABC, with fertiliser.

Here are the measurements Jerry makes

angle ABC = 50° correct to the nearest degree,

BA = 225 m correct to the nearest 5 m,

BC = 175 m correct to the nearest 5 m.

Work out the upper bound for the area of the field.

You must show your working.

...........................................................m

2

(Total for Question is 3 marks)

Q10.

* The diagram shows the triangle PQR.

PQ = x cm

PR = 2x cm

Angle QPR = 30°

The area of triangle PQR = A cm

2

Show that x =

(Total for Question is 3 marks)

Q11.

VABCD is a solid pyramid.

ABCD is a square of side 20 cm.

The angle between any sloping edge and the plane ABCD is 55°

Calculate the surface area of the pyramid.

Give your answer correct to 2 significant figures.

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

2

(Total for question = 5 marks)