Year 11 ICAS Mathematics 5-Question Sample

Question 1 of 5 Chance and data

In a two-step-probability question from a south-side lesson-starter slide, two counters are drawn without replacement. What is the probability that both are red?

Counters in a bag

Colour	Count
Red	5
Blue	7
Total	12

A $\frac{25}{144}$ B $\frac{5}{33}$ C $\frac{5}{12}$ D $\frac{35}{132}$

Question 2 of 5 Chance and data

In a conditional-probability question from a red-team study-group worksheet, a student is known to be from the robotics club. What is the probability that the student passed the trial?

Trial outcome by group

Group	Passed	Not passed	Total
Robotics club	20	10	30
Other students	19	5	24

A $\frac{20}{39}$ B $\frac{13}{18}$ C $\frac{1}{3}$ D $\frac{2}{3}$

Question 3 of 5 Number and arithmetic

In a compound-interest question from a south-side study-skills workshop, an account compounds annually. Which amount is closest to the balance after 4 years?

Investment details

Starting amount	Annual rate	Years
$1000	6%	4

A $1,262.48 B $1,240.00 C $6,553.60 D $1,060.00

Question 4 of 5 Number and arithmetic

For a surd-simplification task from a red-team peer-marking exercise, simplify $\sqrt{72}+\sqrt{50}$.

A $\sqrt{122}$ B $11\sqrt{2}$ C $30\sqrt{2}$ D $12\sqrt{2}$

Question 5 of 5 Chance and data

In a comparing-distributions problem from a south-side peer-marking exercise, use the box-plot summary. Which comparison is best supported?

Box plot summary

Class	Minimum	Q1	Median	Q3	Maximum
A	29	39	47	55	69
B	30	40	51	63	76

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 B has the higher median and the larger interquartile range. D Class A must have the highest mean because its minimum is smaller.

Year 11 Mathematics sample

Answer the sample questions

In a two-step-probability question from a south-side lesson-starter slide, two counters are drawn without replacement. What is the probability that both are red?

In a conditional-probability question from a red-team study-group worksheet, a student is known to be from the robotics club. What is the probability that the student passed the trial?

In a compound-interest question from a south-side study-skills workshop, an account compounds annually. Which amount is closest to the balance after 4 years?

For a surd-simplification task from a red-team peer-marking exercise, simplify \(\sqrt{72}+\sqrt{50}\).

In a comparing-distributions problem from a south-side peer-marking exercise, use the box-plot summary. Which comparison is best supported?