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

Find the product of the first three even numbers.

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

If \(a = – 2,b = 3\) and \(c = 7 \), find the value of \(\sqrt {4a + {b^2}} – \sqrt {5 + 3c} \).

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

Find \(r\), given \(V = \dfrac{4}{3}\pi {r^3}\) where \(V = 1000\), correcting to two significant figures.

\(r = \)

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

Make \(a\) the subject of \(k = \dfrac{{a + b}}{{2ab}}\).

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

Write \(\dfrac{{{x^3} – 7x + 2}}{{{x^{ – 2}}}}\) in non-fractional form without negative exponents.

CorrectIncorrect##### Hint

\(\dfrac{{{a^x}}}{{{a^y}}} = {a^{x – y}}\)

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

Find \(A\), \(B\) and \(C\) if \(3x\left( {x + 5} \right) + 4\left( {x – 2} \right) = A{x^2} + Bx + C\).

\(A = \)

\(B = \)

\(C = \)

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

Solve \(2x – 5 = 4x + 9\).

\(x = \)

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

Solve \({\left( {x + 2} \right)^2} = {\left( {x – 1} \right)^2}\), correcting to one decimal place.

\(x = \)

CorrectIncorrect##### Hint

\(\begin{align} \displaystyle

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

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

\end{align}\) - Question 9 of 10
##### 9. Question

Solve \(\dfrac{{7 – x}}{5} = \dfrac{{3x + 1}}{8}\), correcting to two significant place.

\(x = \)

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

Amy is 4 times as old as Ben. In 5 years’ time Amy will only be 3 times as old as Ben. Find their present ages.

Amy = , Ben =

CorrectIncorrect