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Question 1 of 10

1. Question

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

Correct

Incorrect

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

Correct

Incorrect

Question 3 of 10

3. Question

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

Correct

Incorrect

Question 4 of 10

4. Question

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

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

Correct

Incorrect

Hint

Question 5 of 10

5. Question

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

\(b = \)

Correct

Incorrect

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.