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

Three consecutive odd numbers add up to 147. Write these three odd numbers in ascending order (smallest to largest).

, ,

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

Solve \(2x – 5 = 4x + 9\).

\(x = \)

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

Solve \(\dfrac{1}{5} = \dfrac{4}{{3x + 2}}\).

\(x = \)

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

Expand and simplify \({\left( {x + \dfrac{1}{x}} \right)^2}\).

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

Find \(A \), if \(\dfrac{9}{{\left( {x – 1} \right)\left( {3x – 7} \right)}} \div \dfrac{{x + 3}}{{x – 1}} = \dfrac{A}{{\left( {3x – 7} \right)\left( {x + 3} \right)}}\).

\(A = \)

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

If \(a = – 2,b = 3\) and \(c = 9\), find the value of \({\left( {a + b} \right)^2} + \sqrt {4c} \).

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

Find \(b\), given \(A = \dfrac{{a + b}}{{ab}} \) where \(A = 22\) and \(a = 11\), correcting to two significant figures in ascending order.

\(b = \)

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

Expand and simplify \(- 5\left( {4{x^2} + 3} \right)\left( {4{x^2} – 3} \right)\).

CorrectIncorrect##### Hint

\(\left( {a + b} \right)\left( {a – b} \right) = {a^2} – {b^2}\)

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

A sequence is defined by \({u_n} = {3^n}\). Find \({u_4}\).

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

Find the interest rate per annum, correcting to 2 decimal places, that would enable an investment of \($5000\) to grow to \($7000\) over 3 years if interest is compounded quarterly.

CorrectIncorrect##### Hint

\(A = P{\left( {1 + r} \right)^n}\)