GCE Mathematics C4 0976-01
WJEC 2014 Online Exam Review GCE Mathematics C4 0976-01 All Candidates' performance across questions
Question Title 1 2 3 4 5 6 7 8 9 10
N 3157 3157 3137 3106 3080 3132 3109 3066 3066 2880
Mean 4.4 3.9 6.1 3 5.2 6.6 4.7 7.4 5.4 0.5
SD 1 0.9 2.7 2.1 2 1.9 2.6 3 3 1
Max Mark 5 6 10 6 7 9 8 10 11 3
FF 88.5 65.1 60.7 49.7 74.4 73 58.8 74.3 48.8 18.1
Attempt % 99.8 99.8 99.2 98.2 97.3 99 98.3 96.9 96.9 91
Question
GCE Mathematics C4 0976-01 10 9 8 7 6 5 4 3 2 1
18.1 48.8 74.3 58.8 73 74.4 49.7 60.7 65.1 88.5 0
10
20
30
40
50
60
Facility Factor %
70
80
90
100
4 6
10
2
4.
The region R is bounded by the curve y = 3 + 2 sin x, the x-axis and the lines x = 0, x = π . 4 Find the volume of the solid generated when R is rotated through four right angles about the x-axis. Give your answer correct to the nearest integer. [6]
© WJEC CBAC Ltd.
(0976-01)
3 6.
The curve C has the parametric equations x = 2t, y = 5t 3. The point P lies on C and has parameter p. (a) Show that the equation of the tangent to C at the point P is
2y = 15p2x – 20p 3.
[4]
(b) The tangent to C at the point P intersects C again at the point Q(2q, 5q3). Given that p = 1, show that q satisfies the equation
q3 – 3q + 2 = 0. Hence find the value of q.
© WJEC CBAC Ltd.
[5]
(0976-01)
4
10. Complete the following proof by contradiction to show that
sin θ + cos θ X 2 for all values of θ. Assume that there is a value of θ for which sin θ + cos θ > Then squaring both sides, we have:
END OF PAPER © WJEC CBAC Ltd.
(0976-01)
2. [3]
Question Title 1 2 3 4 5 6 7 8 9 10
N 3157 3157 3137 3106 3080 3132 3109 3066 3066 2880
Mean 4.4 3.9 6.1 3 5.2 6.6 4.7 7.4 5.4 0.5
SD 1 0.9 2.7 2.1 2 1.9 2.6 3 3 1
Max Mark 5 6 10 6 7 9 8 10 11 3
FF 88.5 65.1 60.7 49.7 74.4 73 58.8 74.3 48.8 18.1
Attempt % 99.8 99.8 99.2 98.2 97.3 99 98.3 96.9 96.9 91
Question
GCE Mathematics C4 0976-01 10 9 8 7 6 5 4 3 2 1
18.1 48.8 74.3 58.8 73 74.4 49.7 60.7 65.1 88.5 0
10
20
30
40
50
60
Facility Factor %
70
80
90
100
4 6
10
2
4.
The region R is bounded by the curve y = 3 + 2 sin x, the x-axis and the lines x = 0, x = π . 4 Find the volume of the solid generated when R is rotated through four right angles about the x-axis. Give your answer correct to the nearest integer. [6]
© WJEC CBAC Ltd.
(0976-01)
3 6.
The curve C has the parametric equations x = 2t, y = 5t 3. The point P lies on C and has parameter p. (a) Show that the equation of the tangent to C at the point P is
2y = 15p2x – 20p 3.
[4]
(b) The tangent to C at the point P intersects C again at the point Q(2q, 5q3). Given that p = 1, show that q satisfies the equation
q3 – 3q + 2 = 0. Hence find the value of q.
© WJEC CBAC Ltd.
[5]
(0976-01)
4
10. Complete the following proof by contradiction to show that
sin θ + cos θ X 2 for all values of θ. Assume that there is a value of θ for which sin θ + cos θ > Then squaring both sides, we have:
END OF PAPER © WJEC CBAC Ltd.
(0976-01)
2. [3]
