## 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 the value of \(a \) if the points $\left( {3, – 1} \right),\left( {5,5} \right),\left( {a, – 4} \right)$ are collinear.

Note that collinear means that more than two points lie on the same straight line.\(a = \)

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

The perpendicular bisector of \(\left( {1,2} \right)\) and \(\left( {3,7} \right)\) is \(4x + 10y + A = 0\).

\(A = \)

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

Two angles of a pentagon are right angles. The other three angles are all equal. Find the size of these angles.

\( ^\circ \)

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

Which of the following is a regular quadrilateral?

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

A certain quadrilateral has each angle \( 10^\circ \) greater than the previous one, except the smallest angle. How large is the smallest angle?

\( ^\circ \)

CorrectIncorrect - Question 6 of 10
##### 6. 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 7 of 10
##### 7. 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 8 of 10
##### 8. Question

To calculate the height of a tree, Sarah measures the angle of elevation to the top as \(42^\circ \). She then walks 20 m closer to the tree and measures the angle of elevation as \(61^\circ \). Find the height of the tree.

height of the tree = m

CorrectIncorrect##### Hint

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

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

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

degree(s)

CorrectIncorrect##### Hint

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

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

Find the amplitude and period of \(y = \tan 2x\).

amplitude = , period = degree(s)

CorrectIncorrect