## 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!

#### 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 \(a \) and \(b \), if \(a \), \(1 \), \(a+b \) forms a geometric sequence, and \(b \), \(0.5 \), \(a-b \) forms an arithmetic sequence.

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

CorrectIncorrect##### Hint

\(Ge{o_n} = {u_1}{r^{n – 1}}\) and \(Ar{i_n} = {u_1} + \left( {n – 1} \right)d\)

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

Solve \({\log _{10}}x = – 5\), correcting to one significant figures.

$x=$

CorrectIncorrect##### Hint

\(a = {b^x} \Leftrightarrow x = {\log _b}a\)

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

State the domain and range of \(y = {x^2} – 2x\).

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

The perimeter of a rectangular playing field is 170 m and the length of the diagonals of the field is 65 m. Calculate the dimensions of the field.

shorter side =

longer side =

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

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

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

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

If \(\cos \theta = 0.4\) and \(\theta \) is obtuse, find the value of \(\cos \dfrac{\theta }{2}\), correcting to two decimal places.

CorrectIncorrect##### Hint

\(\begin{align} \displaystyle

\cos 2\theta &= {\cos ^2}\theta – {\sin ^2}\theta \\

&= 2{\cos ^2}\theta – 1\\

&= 1 – 2{\sin ^2}\theta

\end{align}\) - Question 7 of 10
##### 7. Question

Select the corresponding frequency table for the cumulative frequency graph shown.

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

Find the probability that a randomly chosen student plays rugby given that he plays soccer.

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

In which of the following subjects did John achieve his best result?

\( \begin {array} {|c|c|c|} \hline

subject & mean & standard \ deviation & John’s \ mark \\ \hline

chemist & 75 & 7 & 73 \\ \hline

economy & 70 & 6 & 73 \\ \hline

finance & 65 & 5 & 73 \\ \hline

geography & 80 & 8 & 73 \\ \hline

\end{array} \)\(z\)-score on chemistry:

\(z\)-score on economy:

\(z\)-score on finance:

\(z\)-score on geography:

Which is the best result? (chemistry/economy/finance/geography)

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

Find \(\int {\left( {\sin x + \cos 4x} \right)dx} \).

CorrectIncorrect##### Hint

\(\int {\sin \left( {ax + b} \right)dx} = – \dfrac{1}{a}\cos \left( {ax + b} \right) + C\\

\int {\cos \left( {ax + b} \right)dx} = \dfrac{1}{a}\sin \left( {ax + b} \right) + C\)