## 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!

#### Quiz Summary

0 of 10 Questions completed

Questions:

#### Information

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading…

You must sign in or sign up to start the quiz.

You must first complete the following:

#### Results

#### Results

0 of 10 Questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 point(s), (0)

Earned Point(s): 0 of 0, (0)

0 Essay(s) Pending (Possible Point(s): 0)

#### Categories

- Not categorized 0%

### The result is not promising.

### You will need to push yourself a bit further.

### You are almost getting there.

### Stay focused to obtain better results!

### Excellent!

### We are so impressed with your result!

### Fantastic Result!

### We hope you’ll keep continued this serial of good marks.

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10

- Current
- Review
- Answered
- Correct
- Incorrect

- 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