Year 10 ICAS Mathematics 5-Question Sample

Question 1 of 5 Algebra and patterns

At a theatre seating rehearsal, an arithmetic sequence starts at 5 with common difference 3. What is the sum of the first 8 terms?

Arithmetic sequence

First term	Common difference	Number of terms
5	3	8

A 124 B 40 C 26 D 248

Question 2 of 5 Algebra and patterns

Geometric sequence

First term	Common ratio	Term wanted
3	3	term 5

A 15 B 729 C 243 D 81

Question 3 of 5 Number and arithmetic

Growth by a constant factor

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

A 45 B 30 C 15 D 50

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

Question 5 of 5 Space and geometry

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