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
Solve \( 3x^2 – 10x + 4 \lt 2x^2 – 5x – 2 \).
\( \lt x \lt \)
CorrectIncorrect - Question 2 of 10
2. Question
Find the amplitude and period of \(y = 2 \cos x\).
amplitude = , period = degree(s)
CorrectIncorrect - Question 3 of 10
3. Question
Solve \(\sin \left( {x – 45^\circ } \right) = \dfrac{1}{{\sqrt 2 }}\) for \( 0^\circ \le x \le 540^\circ \). Write four answers in ascending order.
\(x= \) \(^\circ \), \(^\circ \), \(^\circ \), \(^\circ \)
CorrectIncorrect - Question 4 of 10
4. Question
Solve \(\sin 4x = \sin 2x\) for \(0^\circ \le x \le 360^\circ \). Write answers in ascending order.
\(x = \) \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\)
CorrectIncorrectHint
\(\sin 2x = 2\sin x\cos x\)
- Question 5 of 10
5. Question
Find \(\dfrac{d}{{dx}}{\log _e}{e^x}{\left( {{e^{2x}} – 1} \right)^3}\).
CorrectIncorrectHint
\(\dfrac{d}{{dx}}{\log _e}f\left( x \right) = \dfrac{1}{{f\left( x \right)}} \times f’\left( x \right)\)
- Question 6 of 10
6. Question
Find \(\int {\left( {\sin x + \cos x} \right)dx} \).
CorrectIncorrectHint
\(\int {\sin \left( {ax + b} \right)dx} = – \dfrac{1}{a}\cos \left( {ax + b} \right) + C\\
\int {\cos \left( {ax + b} \right)dx} = \dfrac{1}{a}\sin \left( {ax + b} \right) + C\) - Question 7 of 10
7. Question
A particle has velocity function \(v\left( t \right) = \sin 2t\) cm/s as it moves in a straight line. The particle is initially 0.5 cm to the right of the origin. Find the displacement of the particle at the end of \(\pi \) seconds.
cm
CorrectIncorrect - Question 8 of 10
8. Question
The initial population of horses is 500 and it is decreasing by \(r\% \) each month. Find \(r \) for which the population after 10 months reaches 200. Answer correct to two decimal places.
\(r \)
CorrectIncorrectHint
\({T_n} = {u_1}{r^{n – 1}}\)
- Question 9 of 10
9. Question
Select the corresponding frequency table for the cumulative frequency graph shown.
CorrectIncorrect - Question 10 of 10
10. 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