Further Maths Past Questions and Answers

If g : r \(\to\) 5 - 2r, r is a real number, find the image of -3

A 13
B 11
C -1
D -9

Question 637:

Consider the following statements:
p: Birds fly
q: The sky is blue
r: The grass is green
What is the symbolic representation of "If the grass is green and the sky is not blue, then the birds do not fly"?

A A. (r ^ p) \(\to\) q(r ^~ p) \(\to\) q
B (r ^ q) \(\to\) p
C (r ~ ^ p) \(\to\) q

Question 638:

Given that \(\frac{1}{x^2 - 4} = \frac{p}{(x + 2)} + \frac{Q}{(x - 2})\)
x \(\neq \pm 2\)
Find the value of (P + Q)

A \(\frac{3}{2}\)
B 1
C \(\frac{1}{2}\)

Question 639:

Find the sum of the first 20 terms of the sequence -7-3, 1, ......

A 620
B 660
C 690
D 1240

Question 640:

Find the value of x for which 6\(\sqrt{4x^2 + 1}\) = 13x, where x > 0

A \(\frac{6}{5}\)
B \(\frac{25}{24}\)
C \(\frac{24}{25}\)
D \(\frac{5}{6}\)