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- 10 minutes in duration
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- A mixture of short answer and multiple-choice questions
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- Question 1 of 10
##### 1. Question

Find the total surface of the prism, leaving in \({{\rm{m}}^2}\).

CorrectIncorrect - Question 2 of 10
##### 2. Question

Find \(A\), if \({\cos ^3}\theta + \cos \theta {\sin ^2}\theta = A\cos \theta \).

\(A = \)

CorrectIncorrect##### Hint

\({\sin ^2}\theta + {\cos ^2}\theta = 1\)

- Question 3 of 10
##### 3. Question

Convert \(96.7^\circ \) to radians, correct to 3 significant figures.

radians

CorrectIncorrect##### Hint

\(\pi \text{ radian } = 180^\circ \)

- Question 4 of 10
##### 4. Question

Find the angle in radians of a circle of the radius 1.2 cm and the arc length 5 cm, correcting to two significant figures.

\(\theta = \) degrees

CorrectIncorrect##### Hint

\(l = r\theta \)

- Question 5 of 10
##### 5. Question

Find \(\theta \), correcting to the nearest degree.

\(\theta = \) degree(s)

CorrectIncorrect##### Hint

\(\dfrac{a}{{\sin A}} = \dfrac{b}{{\sin B}} = \dfrac{c}{{\sin C}}\)

- Question 6 of 10
##### 6. Question

Find the smallest angle in the triangle, correcting to the nearest minute.

\(\theta = \) degree(s) and minute(s)

CorrectIncorrect##### Hint

\(\cos A = \dfrac{{{b^2} + {c^2} – {a^2}}}{{2bc}}\)

- Question 7 of 10
##### 7. Question

For the function \(f\left( x \right) = \dfrac{{ – 2x – 1}}{{x + 1}}\), find the horizontal and vertical asymptotes.

\(x = \) , \(y = \)

CorrectIncorrect - Question 8 of 10
##### 8. Question

Find the vector equation of the following diagram.

CorrectIncorrect - Question 9 of 10
##### 9. Question

Find the positive value of \(k\), correcting to three significant figures, if the length of \( \begin{pmatrix} k \\ – 3 \end{pmatrix} \) is 7.2.

CorrectIncorrect - Question 10 of 10
##### 10. Question

Find vectors of length 2 units which are parallel to \(\left( {\begin{array}{*{20}{c}}

2\\

3\\

5

\end{array}} \right)\).CorrectIncorrect