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Question 1 of 10

1. Question

Find the time that is \(4\dfrac{1}{3}\)hours after 3:16 pm.

: (am/pm)

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Question 2 of 10

2. Question

A currency exchange converts 1 Australian Dollar (AUD) for 0.53 British Pound (GBP) and 1 British Pound (GBP) for 1.17 EURO (EUR). Convert 40 EUR to AUD, correcting to the nearest AUD.

AUD

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Incorrect

Question 3 of 10

3. Question

Jess measured a rectangular land by 123.2 cm by 216.5 cm. She estimates the area of the land by rounding each measurement to the nearest cm. Find the percentage error in Jess’ estimation, correcting to the nearest %.

\(\%\)

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Hint

\(\text{Percentage Error } = \dfrac{{\left| {\text{Actual Value } – \text{Estimated Value }} \right|}}{{\text{Estimated Value }}} \times 100\% \)

Question 4 of 10

4. Question

Find the area of the sector, correcting to two significant figures.

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Hint

\(\text{Area of a sector } = \pi {r^2} \times \dfrac{\theta }{{360^\circ }}\)

Question 5 of 10

5. Question

Find the total surface of the prism, leaving in \({\rm{c}}{{\rm{m}}^2}\).

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Question 6 of 10

6. Question

Choose vector quantities.

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Question 7 of 10

7. Question

Find the vector equation of the following diagram.

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Question 8 of 10

8. Question

Find \(x\) and \(y\), if the vector \(\overrightarrow {CD} \) in unit vector form is \( x\vec{i} + y \vec{j} \)

\(x = \) , \(y = \)

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Question 9 of 10

9. Question

Find the positive value of \(k\), correcting to three significant figures, if the length of \( \begin{pmatrix} k \\ – 3 \end{pmatrix} \) is 7.2.

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Question 10 of 10

10. Question

Find \(x\) and \(y\), if \(\overrightarrow {CA} = \left( {\begin{array}{*{20}{c}} x\\ y \end{array}} \right)\) given \(\overrightarrow {AB} = \left( {\begin{array}{*{20}{c}} -2\\ 4 \end{array}} \right)\) and \(\overrightarrow {BC} = \left( {\begin{array}{*{20}{c}} 2\\ 6 \end{array}} \right)\).