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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

Write \(1.\bar 5\) correct to two significant figures.

CorrectIncorrect##### Hint

\(1.\bar 5 = 1.55555 \cdots \)

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

Find \(k\) such that \( \cdots ,k – 1,2k + 1,4k – 2, \cdots \) forms an arithmetic sequence.

\(k = \)

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

Evaluate \(\sum\limits_{n = 7}^{10} {{2^{n – 5}}} \).

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

Consider the sequence \(6,12,18, \cdots \). Find the number of terms between \(1000\) and \(10 000\).

Number of terms is

CorrectIncorrect##### Hint

\({a^x} = y \Rightarrow x = {\log _x}y\)

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

A desk was purchased for \($1600\) and depreciated at 3% each quarter. Find its value after ten years, correcting to the nearest cent.

dollar(s)

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

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

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

Solve \({25^x} – 23 \times {5^x} – 50 = 0\).

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

Solve \({\log _{10}}x = 1\) .

$x=$

CorrectIncorrect##### Hint

\(a = {b^x} \Leftrightarrow x = {\log _b}a\)

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

Solve \({\log _4}{x^3} + {\log _2}\sqrt x = 8\).

\(x = \)

CorrectIncorrect##### Hint

\({\log _a}{x^n} = n{\log _a}x\)

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

Simplify \(\dfrac{{\left( {n + 2} \right)! – 3\left( {n + 1} \right)! + n!}}{{n!}}\).

CorrectIncorrect