What value of k makes the given expression a perfect square m\(^2\) - 8m + k = 0

• A.2
• B.4
• C.8
• D.16

Given the sets A = [2, 4, 6, 8] and B = [2, 3, 5, 9]. If a number is selected at random from set B, what is the probability that the number is prime?

• A. 1
• B. \(\frac{3}{4}\)
• C. \(\frac{1}{2}\)
• D. \(\frac{1}{4}\)

The table shows the heights in cm of some seedlings in a certain garden.

(a) Draw the cumulative frequency curve for the distribution.

(b) Using the curve in (a), find thesemi-interquartile range.

P = {2, 1,3, 9, 1/2}; Q = {1,21/2,3, 7} and R = {5, 4, 21/2}. Find P∩Q∩R

• A. (2¹/₂)
• B. ?
• C. (1, 3, 7)
• D. (4)

A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope was 1.25m, what was the percentage error in the measurement?

• A. 0.25%
• B. 0.01%
• C. 0.80%
• D. 0.40%

There is a boat with a ladder attached to it and the ladder is eight metres tall if the water rises four metres how much of the ladder will be on to of the water?

• A. 12 metres
• B. 48 metres
• C. 8 metres
• D. 10 metres

Evaluate: lim\(_{x→-2}\) \(\frac{x^3+8}{x+2}\).

What number would fill the gap in the set of numbers below: 3 5 7 6 10 14 12 20 ----

• A. 30
• B. 42
• C. 28
• D. 24

Find the value of x for which 2(3^2x-1) = 162

• A. 5/2
• B. 3/2
• C. 2/5
• D. 1/2

\(\begin{array}{c|c} x & 2 & 4 & 6 & 8\\ \hline f & 4 & y & 6 & 5 \end{array}\)

If the mean of the above frequency distribution is 5.2, find y

• A. 2, 1
• B. 1, 2
• C. 1, 5
• D. 5, 2