Year 12 ICAS Mathematics 5-Question Sample

Question 1 of 5 Algebra and patterns

For a bus timetable check, an arithmetic sequence starts at 7 with common difference 3. What is the sum of the first 8 terms?

Arithmetic sequence

First term	Common difference	Number of terms
7	3	8

A 56 B 140 C 28 D 280

Question 2 of 5 Algebra and patterns

Geometric sequence

First term	Common ratio	Term wanted
2	3	term 5

A 14 B 486 C 162 D 54

Question 3 of 5 Number and arithmetic

Growth by a constant factor

Starting count	Growth each hour	Hours
8	triples (x3)	2

A 48 B 24 C 72 D 77

Question 4 of 5 Space and geometry

Similar shapes

Side ratio (small:large)	Small shape area
2:4	8 cm^2

A \(16\text{ cm}^2\) B \(128\text{ cm}^2\) C \(20\text{ cm}^2\) D \(32\text{ cm}^2\)

Question 5 of 5 Space and geometry

A 7 units B 1 units C 5 units D 6 units