Questions
Q1.
ABC is an isosceles triangle.
Work out the area of the triangle.
........................................................... 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.
. . . . . . . . . . . . . . . . . . . . . cm
2
(Total for Question is 5 marks)
Q5.
ABC is a triangle.
D is a point on AC.
AB = 7.4 cm
DC = 5.8 cm
Work out the length of BC.
........................................................... cm
(Total for question = 5 marks)
Q6.
The diagram shows triangle LMN.
Calculate the length of LN.
........................................................... cm
(Total for Question is 5 marks)
Q7.
Diagram NOT accurately drawn
Work out the length of DC.
. . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question is 6 marks)
Q8.
In triangle RPQ,
RP = 8.7 cm
PQ = 5.2 cm
Angle PRQ = 3
(a) Assuming that angle PQR is an acute angle,
calculate the area of triangle RPQ.
...........................................................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.
...........................................................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.