NCEA Level 2 Mathematics and Statistics case studies
NCEA Level 2 Mathematics and Statistics · Put your knowledge to work in context.
NCEA Level 2 Mathematics and Statistics is the Level 2 stage of New Zealand's National Certificate of Educational Achievement, administered by NZQA. It sits in the Mathematics and Statistics subject area, which NZQA describes as two connected disciplines: mathematics as the exploration and use of patterns and relationships in quantities, space, and time, and statistics as the exploration and use of patterns and relationships in data. Most learners reach it after Level 1, but the standards are open to any candidate entered for them. Assessment runs on two tracks. Topics on this exam: Number and Algebra, Geometry and Measurement, and Statistics and Probability. The NCEA Level 2 Mathematics and Statistics case studies are 5 cases and about 2,627 words.
1Film Night Ticket Target
A student council is running a film night in the school hall. The hall hire and equipment cost 650, and catering costs 3.20 per person. Adult tickets sell for 14 and student tickets for 9. The hall can hold 180 people.
538 words, about 3 min2GreenEdge Mower Choice
A student runs a lawn-mowing business called GreenEdge. She has 160 lawns contracted for the season and charges 25 per lawn. A petrol mower costs 480 and uses fuel and maintenance worth 4.20 per lawn. A battery mower costs 1,150 and uses electricity worth 1.10 per lawn, but after 90 lawns it needs a compulsory 180 battery service before it can be used again.
561 words, about 3 min3Courtyard Shade Sail
A school is installing a triangular shade sail over a courtyard. The anchor points are A, B and C. The distance AB is 6.4 m, AC is 5.1 m, and the angle BAC is 72°. The fabric costs 38 per square metre and is sold only in whole square metres.
519 words, about 3 min4Rainwater Tank Capacity
A rural school installs a rainwater tank for its garden. The tank is a cylinder of radius 1.2 m and height 2.4 m, with a hemispherical top that also stores water. The school must keep 15% of the tank's total capacity as freeboard, so that water does not overflow in heavy rain. The garden irrigation system uses 850 litres per day.
437 words, about 2 min5After-School Bus Survey
A youth council surveys students at two schools about a new after-school bus. At School A, 150 students are surveyed and 63 say they use the bus regularly. At School B, 90 students are surveyed and 30 say they use the bus regularly. The survey is completed by volunteers during one lunchtime, and not all absent or bus-using students are necessarily present.
572 words, about 3 min