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

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

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

Todd is 33 years old and his daughter Amy is 3 years old. In how many years’ time will Todd be 3 times the age of Amy?

years

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

Write \(1.\overline {776} \) correct to one significant figure.

CorrectIncorrect##### Hint

\(1.\overline {776} = 1.776776776 \cdots \)

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

Calculate the compounded value of investment:

$8000 for 4 months at 6% per annum with interest compounded monthly.$ , correcting to the nearest cent

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

Select the corresponding frequency table for the cumulative frequency graph shown.

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

Find the median of the scores.

\( \begin{array}{|c|c|} \hline

Score & Frequency \\ \hline

10 & 3 \\ \hline

20 & 8 \\ \hline

30 & 10 \\ \hline

40 & 15 \\ \hline

\end{array} \)There are scores.

So, the median is the th score.

Thus, the median is

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

Find the interquartile range of the data represented in box-and-whisker plot.

\( \begin{array}{c|cccccc}

1 & 4 & 8 &&&& \\

2 & 2 & 6 & 9 &&& \\

3 & 0 & 3 & 4 & 7 & 8 & \\

4 & 1 & 2 & 4 &&& \\

\end{array} \)List the scores in ascending order.

The upper quartile is .

The lower quartile is .

The interquartile range is .

CorrectIncorrect##### Hint

Interquartile Range = Upper Quartile – Lower Quartile

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

A six-sided biased die is rolled 20 times and the number appearing uppermost is noted each time. The numbers uppermost on the six-sided die are:

\(4{\rm{ }}1{\rm{ }}6{\rm{ }}3{\rm{ }}5{\rm{ }}1{\rm{ }}4{\rm{ }}6{\rm{ }}3{\rm{ }}2{\rm{ }}5{\rm{ }}1{\rm{ }}6{\rm{ }}5{\rm{ }}2{\rm{ }}4{\rm{ }}2{\rm{ }}3{\rm{ }}5{\rm{ }}2\)

Estimate the experimental probability of rolling a “five” or “six” with this die.

Experimental probability =

CorrectIncorrect##### Hint

\(\text{Experimental probability } = \dfrac{{\text{favourable outcomes }}}{{\text{total number of trials }}}\)

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

7 cards numbered 2, 3, 4, 5, 6, 7, and 8 are placed in a hat. Two are taken simultaneously. Find the probability that both are odd. Answer to two decimal places.

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

A bag contains 2 black and 3 white discs. A disc is selected from the bag, its colour is noted, and it is then returned to the bag before a second disc is drawn. Find the probability that the discs have the same colours.

CorrectIncorrect##### Hint

For branches in each group in the tree diagram the sum of the probabilities adds to 1.