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- 10 minutes in duration
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- A mixture of short answer and multiple-choice questions
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- Question 1 of 10
##### 1. Question

Find the highest common factor of \(12\), \(15\) and \(24\).

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

Joyce borrows \$5000 to buy a used car. The bank charges a 9.8% per annum flat rate of interest over 30 months. How much is each equal monthly repayment?

dollars and cents

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

Solve $\dfrac{{x + \sqrt x }}{{x – \sqrt x }} = 2$.

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

Find \(A\), \(B\), \(C\) and \(D\) if \(\left( { – x + 3} \right)\left( {x + 2} \right)\left( {2x + 3} \right) = A{x^3} + B{x^2} + Cx + D\).

\(A = \) , \(B = \) , \(C = \) , \(D = \)

CorrectIncorrect##### Hint

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

Find the positive value of \(b \), if the vertex of \(y = {x^2} – 2bx + 3\) is \(\left( {b, – 13} \right)\).

\(b = \)

CorrectIncorrect##### Hint

\(x = – \dfrac{b}{{2a}}\)

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

Find \(k\) given \(\vec a = \left( {\begin{array}{*{20}{c}}

2\\

k

\end{array}} \right)\) and \(\vec b = \left( {\begin{array}{*{20}{c}}

5\\

1

\end{array}} \right)\) are perpendicular.CorrectIncorrect##### Hint

\(\cos \theta = \dfrac{{\vec a \bullet \vec b}}{{\left| {\vec a} \right|\left| {\vec b} \right|}}\)

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

Find the interior angle of a 30-sided regular polygon.

\( ^\circ \)

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

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

degree(s)

CorrectIncorrect##### Hint

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

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

The Venn diagram below shows the number of students in group \(A\), \(B\) or \(C\). Find the number of students who are in at least one of groups.

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

Describe the strength of the linear relationship with correlation coefficient \(r = – 1\).

CorrectIncorrect