Year 12 ICAS Mathematics 5-Question Sample

Question 1 of 5 Chance and data

In a comparing-distributions problem from a red-team holiday-homework booklet, use the box-plot summary. Which comparison is best supported?

Box plot summary

Class	Minimum	Q1	Median	Q3	Maximum
A	25	37	43	50	65
B	27	38	48	58	73

A Class A has the higher median and the larger interquartile range. B The two classes have the same median, but Class A has the larger spread. C Class A must have the highest mean because its minimum is smaller. D Class B has the higher median and the larger interquartile range.

Question 2 of 5 Chance and data

In a correlation problem from a south-side peer-marking exercise, the scatterplot compares training time and score. Which conclusion is most reasonable?

A There is no association because the points are not exactly on one line. B Training time proves the exact score for every student. C There is a positive association, but the graph alone does not prove training caused every score change. D There is a negative association because the x-values increase.

Question 3 of 5 Algebra and patterns

For a matching-equation task from a red-team worked-example wall, the graph is a translation of \(y=x^2\). Which equation matches the vertex shown?

A \(y=(x+2)^2+4\) B \(y=x^2+2\) C \(y=(x-2)^2-4\) D \(y=(x-2)^2+4\)

Question 4 of 5 Space and geometry

For a third-side task from a south-side peer-marking exercise, the included angle between two known sides is 48 degrees. Which length is closest to side \(c\)?

A 15 cm B 3 cm C 9 cm D 21 cm

Question 5 of 5 Measures and units

In a scaled-measurements problem from a red-team peer-marking exercise, a scale drawing of a rectangular room uses the measurements shown. What is the actual floor area?

Scale drawing of a room

Plan measure	Value
Scale	1 cm represents 4 m
Plan length	6 cm
Plan width	3 cm
Required	actual floor area

A \(288\text{ m}^2\) B \(18\text{ m}^2\) C \(72\text{ m}^2\) D \(288\text{ m}^4\)

Year 12 Mathematics sample

Answer the sample questions