NCEA L1 Maths study materials
NCEA L1 Maths study resources

NCEA L1 Maths case studies

NCEA L1 Maths · Put your knowledge to work in context.

NCEA Level 1 Mathematics and Statistics is the first of the three NCEA levels, and NCEA is described by NZQA as the main qualification for secondary school students in New Zealand. In general, students work through levels 1 to 3 in years 11 to 13 at school. Mathematics and Statistics splits into two connected strands: mathematics is the exploration and use of patterns and relationships in quantities, space, and time, while statistics is the exploration and use of patterns and relationships in data. Achievement in the subject is assessed through several standards, each covering a specific set of skills and knowledge, and each standard you achieve is worth credits towards the qualification. The NCEA L1 Maths case studies are 5 cases and about 3,038 words.

1

Raised Garden Beds: Timber, Soil and Budget

Members of a school sustainability group plan to build three identical raised vegetable beds. Each bed is a rectangular prism with internal dimensions 2.4 m long, 1.2 m wide and 0.35 m deep.

610 words, about 3 min
2

Screen Time Claim: Mean, Median and Sampling

A Year 11 statistics class surveys screen time on a school night for two groups. Group A is a random sample of 30 students from the year group; Group B is 30 students who volunteered from the digital technology club.

619 words, about 3 min
3

Choosing an Internet Plan with Variable Data Use

A family is comparing two monthly internet plans. Plan A costs 65.00 per month and includes 200 GB; extra data costs 1.50 per GB, charged per whole GB.

654 words, about 3 min
4

School Fair Spinner: Expected Profit and Risk

At a school fair, a stall runs a spinner game. The spinner has four sectors: a red sector of 180 degrees, a blue sector of 90 degrees, a green sector of 45 degrees and a gold sector of 45 degrees.

609 words, about 3 min
5

Hall Ramp Gradient and Accessibility

A community hall has a door threshold 0.72 m above the concrete path. The committee plans a straight ramp from the path to the door.

546 words, about 3 min