## 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

If \({u_{10}} = 100\) and \({u_{15}} = 175\), find \({u_{100}}\) of the arithmetic sequence.

CorrectIncorrect - 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

The amount in an investment account is initially \($4500 \) at the beginning of January 2019 and decrease by 5% per annum due to deflation. At which year and month the amount becomes half.

CorrectIncorrect##### Hint

\(A = P \times {\left( {1 – r} \right)^t}\)

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

Find \(\theta \), correcting to the nearest degree, if the area of the triangle is 12 cm

^{2}. Ensure \(\theta \) is an obtuse angle.\(\theta = \) degree(s)

CorrectIncorrect##### Hint

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

- Question 5 of 10
##### 5. 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 6 of 10
##### 6. Question

Find the interquartile range of the data represented in the box-and-whisker plot.

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

1 & 0 & 1 &&&& \\

2 & 1 & 2 & 6 &&& \\

3 & 2 & 4 & 7 & 7 && \\

4 & 3 &&&&& \\

\end{array} \)List the scores in ascending order.

The upper quartile is .

The lower quartile is .

The interquartile range is .

CorrectIncorrect##### Hint

Interquartile Range = Upper Quartile – Lower Quartile

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

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

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

Daniel is a marathon runner. On the Olympic course in the northern hemisphere, the meantime is 2 hours 16 minutes with a standard deviation of 5 minutes. On the southern hemisphere, the meantime is 2 hours 20 minutes with a standard deviation of 4 minutes. In the northern hemisphere, Daniel’s time was 2 hours 18 minutes and in the southern hemisphere, his time was 2 hours 21 minutes. By writing these \(z\)-scores, determine the better performance.

\(z\)-score on northern hemisphere:

\(z\)-score on northern hemisphere:Which is the better result? (northern or southern)

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

For what values of \(x\) is \(y = \dfrac{{{x^2}}}{{2{x^2} + x + 1}}\) decreasing?

CorrectIncorrect##### Hint

increasing: \(f’\left( x \right) > 0\), decreasing: \(f’\left( x \right) < 0\)

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

Find the value of \(k\) if \(\int_{ – 1}^2 {\left( {3{x^2} + 4x + k} \right)dx} = 30\).

CorrectIncorrect