## Are you ready to take your first step toward achieving your goal?

- 10 diagnosis quiz questions
- 10 minutes in duration
- Required to attempt all questions
- A mixture of short answer and multiple-choice questions
- Instant feedback straight after the test

## OK, let’s get started now!

## Are you ready to take your first step toward achieving your goal?

- Ten diagnosis quiz questions
- Ten minutes in duration
- Required to attempt all questions
- A mixture of short-answer and multiple-choice questions
- Instant feedback straight after the quiz

## OK, let’s get started now!

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- Question 1 of 10
##### 1. 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 2 of 10
##### 2. Question

A river has parallel banks that run directly east-west. From the southern bank, John takes a bearing to a particular point on the opposite bank, and the bearing is \(043^\circ\text{T}\). He then walks 12 m due east and takes a second bearing to the point, and this is \(306^\circ\text{T}\). Find the width of the river, correcting to one decimal place.

width of the river = m

CorrectIncorrect##### Hint

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

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

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

degree(s)

CorrectIncorrect##### Hint

\({a^2} = {b^2} + {c^2} – 2bc\cos A\)

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

Convert \(112.4^\circ \) to radians, correct to 3 significant figures.

radians

CorrectIncorrect##### Hint

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

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

Find \(\theta \), if \(\sin \theta = 0.6\) and \(\cos \theta = 0.8\), correct to 2 decimal places.

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

If \(\tan x = – \dfrac{4}{3}\) and \(\dfrac{\pi }{2} < x < \pi \), \(\sin x = \dfrac{a}{5}\) and \(\cos x = \dfrac{b}{5}\). Find \(a\) and \(b\).

\(a = \) , \(b = \)

CorrectIncorrect##### Hint

\(\tan \theta = \dfrac{{\sin \theta }}{{\cos \theta }}\)

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

Find the angle of inclination, in radian correcting to two significant figures, of a line having a gradient of 3.2.

CorrectIncorrect - Question 8 of 10
##### 8. 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 9 of 10
##### 9. Question

Solve \(\sin \left( {4x – 180^\circ } \right) = 0\) for \( 0^\circ \le x \le 180^\circ \). Write five answers in ascending order.

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

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

Solve \(\tan \left( {4x – 180^\circ } \right) = 0\) for \(0^\circ \le x \le 180^\circ \). Write five answers in ascending order, , correcting to one decimal place where necessary.

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

CorrectIncorrect