If y = (2x + 2)\(^3\), find \(\frac{\delta y}{\delta x}\)

A. 3(2x +2)²

B. 6(2x +2)

C. 3(2x +2)

D. 6(2x +2)²

The radius of a circle is increasing at the rate of 0.02cms^-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.

A. 0.75cm²S^-1

B. 0.53cm²S^-1

C. 0.35cm²S^-1

D. 0.88cm²S^-1

Find the mean of t + 2, 2t - 4, 3t + 2 and 2t.

A. t + 1

B. 2t

C. 2t + 1

D. t

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode.

A. 6

B. 8

C. 14

D. 2

\(\begin{array}{c|c}Age & 20 & 25 & 30 & 35 & 40 & 45 \\
\hline \text{No. of people} & 3 & 5 & 1 & 1 & 2 & 3 \end{array}\)

Calculate the median age of the frequency distribution in the table above

A. 25

B. 30

C. 35

D. 20

If the variance of 3+x, 6, 4, x and 7-x is 4 and the mean is 5, find the standard deviation

A. \(\sqrt{3}\)

B. 2

C. 3

D. \(\sqrt{2}\)

\(\begin{array}{c|c} Score & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline Frequency & 1 & 0 & 7 & 5 & 2 & 3 & 1 & 1 \end{array}\)
The table above shows the scores of 20 students in further mathematics test. What is the range of the distribution?

A. 7

B. 6

C. 3

D. 10

In how many ways can a student select 2 subjects from 5 subjects?

A. \(\frac{5!}{3!}\)

B. \(\frac{5!}{2!2!}\)

C. \(\frac{5!}{2!3!}\)

D. \(\frac{5!}{2!}\)

In how many ways can 3 seats be occupied if 5 people are willing to sit?

A. 60

B. 20

C. 5

D. 120

What is the probability that an integer x \((1 \leq x \leq 25)\) chosen at random is divisible by both 2 and 3?

A. \(\frac{1}{25}\)

B. \(\frac{1}{5}\)

C. \(\frac{4}{25}\)

D. \(\frac{3}{4}\)