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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

The gradient of a line is \(-1\) and the line passes through the points $\left( {4,2} \right)$ and $\left( {a, – 3} \right)$.

Find the value of \(a \).\(a = \)

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

Find the interior angle of a 30-sided regular polygon.

\( ^\circ \)

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

Which of the following is a regular quadrilateral?

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

Find \(\theta \), correcting to the nearest degree, if the area of the triangle is 16 cm

^{2}.\(\theta = \) degree(s)

CorrectIncorrect##### Hint

\(Area = \dfrac{1}{2}ab\sin C\)

- 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 \(x\), correcting to one decimal place.

degree(s)

CorrectIncorrect##### Hint

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

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

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

\(\theta = \) \(^\circ\)

CorrectIncorrect##### Hint

\(\begin{align} \displaystyle

{a^2} = {b^2} + {c^2} – 2bc\cos A\\

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

\end{align}\) - Question 8 of 10
##### 8. Question

A boat sails on a bearing of \(\text{S}30^\circ\text{W}\) for 15 km, then changes direction and sails for 22 km. Its bearing from the starting point is now \(\text{N}55^\circ\text{W}\). Find the distance, to one decimal place, between the starting point and the current position.’

distance = km

CorrectIncorrect##### Hint

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

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

Given four angles \( 4x+30, 2x+40, 2x+40 \) and \( 2x-20 \) are in a quadrilateral, find \( x \).

\( x = \) \( ^\circ \)

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

Drag and drop the descriptions to the corresponding boxes.

##### Sort elements

- All three sides are equal in length.
- Two sides are equal in length.
- No sides are equal in length.
- All angles are less than \( 90^{\circ} \).
- Contains a \( 90^{\circ} \) angle.
- Contains an angle greater than \( 90^{\circ} \).

- equilateral triangle
- isosceles triangle
- scalene triangle
- acute-angled triangle
- right-angled triangle
- Obtuse-angled triangle

CorrectIncorrect