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- 10 minutes in duration
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- A mixture of short answer and multiple-choice questions
- Instant feedback straight after the test

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- Question 1 of 10
##### 1. Question

Find \(A \), if \(\dfrac{1}{{\left( {x + 2} \right)\left( {2x – 5} \right)}} \div \dfrac{{x – 9}}{{2x – 5}} = \dfrac{A}{{\left( {x + 2} \right)\left( {x – 9} \right)}}\).

\(A = \)

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

Find \(A\), \(B\) and \(C\) if \(3\left( {2x + 5} \right)\left( {2x – 5} \right) = A{x^2} + Bx + C\).

\(A = \)

\(B = \)

\(C = \)

CorrectIncorrect##### Hint

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

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

Make \(a\) the subject of \(P = \dfrac{{\sqrt[3]{a} – b}}{b}\).

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

Four consecutive even numbers add up to 92. Find the largest of the four numbers.

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

The average of 5 numbers is 11. A new number is added, then the new average becomes 12. Find the new number added.

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

Find \( x \), if \({\left( {{4^{ – 2}}} \right)^{ – 1}} = {2^x}\).

\( x = \)

CorrectIncorrect##### Hint

\({a^{ – 1}} = \dfrac{1}{a}\)

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

Solve the following simultaneous equations by substitution.

\(\left\{ {\begin{array}{*{20}{c}}

{5x + 2y = 17}\\

{- 2y + 3x = 7}

\end{array}} \right.\)\(x = \) , \(y = \)

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

Find \( k\) values in order to have no solutions.

\(\left\{ {\begin{array}{*{20}{c}}

{kx + 2y = 16}\\

{y = – 4x + 8}

\end{array}} \right.\)CorrectIncorrect - Question 9 of 10
##### 9. Question

Find the next two terms of \(85,81,77,73, \cdots \)

,

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

A geometric sequence has \({u_3} = 18\) and \({u_6} = 486\). Find its general term.

CorrectIncorrect##### Hint

\({u_n} = {u_1} \times {r^{n – 1}}\)