Correct Answer: B. 2

Correct Answer: B. 20 years

Explanation

Range = 30.5 - 10.5 = 20 years

Correct Answer: B. 10%

Correct Answer: (b) 8hrs 50mins

Correct Answer: C. \(81\sqrt{2}\)

Explanation

\(T_{n} = ar^{n - 1}\) (Geometric progression)

\(a = \sqrt{6}, r = \frac{T_{2}}{T_{1}} = \frac{3\sqrt{2}}{\sqrt{6}} \)

\(r = \frac{\sqrt{18}}{\sqrt{6}} = \sqrt{3}\)

\(\therefore T_{8} = (\sqrt{6})(\sqrt{3})^{8 - 1} \)

= \((\sqrt{6})(27\sqrt{3}) = 27\sqrt{18} = 81\sqrt{2}\)

Correct Answer: B. \(-1\)

Explanation

\(f(x) = \frac{3x + 1}{x^{2} - 1}\)

\(f(-3) = \frac{3(-3) + 1}{(-3)^{2} - 1} = \frac{-8}{8} = -1\)

Correct Answer: A. 204

Explanation

(a)To find sin q =\(\frac{2\sqrt{2}}{3}\) and cos p = \(\frac{\sqrt{3}}{3}\). Then, substituting

sin(p - q) = sin p cos q - cos p sin q = (\(\frac{1}{2} \times -\frac{1}{3}\)) - (\(\frac{2\sqrt{2}}{3} \times \frac{\sqrt{3}}{2}\)

Which simplified to -\(\frac{1}{6} - \frac{2\sqrt{6}}{6}\) and can be written as \(\frac{-1 -2\sqrt{6}}{6}\)

(b), candidates were expected to obtain the following table

Then, using the table and applying the formula;

\(\int^4_1\frac{2}{\sqrt{x + 3}}\)dx = 0.5{\(\frac{1}{2}\) + 0.9428 + 0.8944 + 0.8528 + 0.8165 + 0.7845 + \(\frac{0.7559}{2}\)}

= 0.5 (5.16895)

= 2.584475

= 2.58 correct to two decimal places.

Correct Answer: C. 6

Correct Answer: A. 8

Explanation

When finding the median, you are looking for the middle number. Always arrange the numbers in ascending order. Since, the numbers are not in inceasing order, let's arrange it. It should look like: 1,2,5,8,37,45,90. Now, let's count the numbers in the set which is seven. Then divide seven by two. We do this because we will split the number set in half. Because seven doesn't divide evenly into two, this means we can easily determine the median. Since seven divided by two is 3.5, we are going to eliminate three numbers from leftmost in number set toward the right direction and three numbers from rightmost in number set toward the left direction. The only number left is 8 and therefore is the right answer.