ICAS Mathematics study materials
ICAS Mathematics study resources

ICAS Mathematics case studies

ICAS Mathematics ยท Put your knowledge to work in context.

ICAS Mathematics is one of the six subjects in the ICAS academic competition - a school-based challenge run by Janison and supported by The University of Sydney, taken by students from Years 2 to 12 in Australia, New Zealand, Asia and further afield. It is a competition rather than a curriculum test: candidates sit a Mathematics paper pitched at their own year level, and outcomes are reported against clearly defined, nationally standardised achievement levels, so a result carries the same meaning wherever the paper was sat. Every participant receives a certificate; medals go to the highest achievers. Papers are delivered online through a locked-down browser, and across ICAS subjects the sitting runs 30โ€“60 minutes depending on the subject and year level. The ICAS Mathematics case studies are 5 cases and about 2,662 words.

1

The Muffin Order

Students at Riverton Primary are baking muffins for a community breakfast and need at least 240 muffins. Two suppliers have sent quotes.

494 words, about 2 min
2

Two Gyms and a Promotion

Two gyms in the same shopping centre advertise these prices: FlexFit: 60 joining fee, then 12 per week. BodyWorks: 150 joining fee, then 8 per week.

595 words, about 3 min
3

Paving the Community Garden

A community garden has a rectangular lawn measuring 8.4 m by 6.2 m. A circular pond of radius 1.5 m sits in the middle of the lawn and will be kept, with a paved edge around it.

498 words, about 2 min
4

The Raffle Totals

Two Year 10 classes sell raffle tickets for a school trip. Class 10A has 30 students; their sales have a mean of 12 tickets and a median of 10.

552 words, about 3 min
5

The Hall Ramp

A council is building a wheelchair ramp to a community hall doorway. The floor inside the doorway is 0.90 m above the path outside.

523 words, about 3 min