Measurement — NSW Year 10 Core Maths
Units, measurement error, area, and the surface area and volume of prisms and cylinders for Year 10. Seven subtopics and 140 practice questions, each with a worked solution, aligned to NESA outcomes including MA5-ARE-C-01 and MA5-VOL-C-01.
Measurement in NSW Year 10 Core
Measurement in Year 10 Core starts with units and accuracy: converting metric units, using prefixes and scientific notation, and finding the absolute and percentage error of a measurement. It then revises area and finishes with the surface area and volume of prisms and cylinders.
The seven subtopics below follow that order. Measurement is one of the 11 topics in NSW Year 10 Maths Core and sits within NESA's Measurement and Space strand (NESA outcomes MA5‑MAG‑C‑01, MA5‑ARE‑C‑01 and MA5‑VOL‑C‑01, and area revision from Stage 4, MA4‑ARE‑C‑01). Pythagoras' theorem in 3D and the surface area and volume of pyramids and cones are studied in Year 10 Advanced. These skills carry into Stage 6 and into everyday work such as building, landscaping and design.
Subtopics
Measurement: common questions
What measurement is in Year 10 Core maths?
Year 10 Core measurement covers converting units, measurement error, the area of plane shapes and circles, and the surface area and volume of prisms and cylinders.
What is the difference between absolute error and percentage error?
The absolute error is half the smallest unit on the instrument, for example \(\pm 0.5\) L for a reading to the nearest litre. The percentage error divides the absolute error by the measurement and multiplies by 100, so it shows how accurate a measurement is compared with its size.
How do you work out a cylinder's surface area?
Add the two circular ends to the curved surface: \(A = 2\pi r^2 + 2\pi rh\). The curved part unrolls into a rectangle whose length is the circumference of the end.
Which NESA outcomes cover Year 10 Core measurement?
Surface area of prisms and cylinders comes under MA5‑ARE‑C‑01 and their volumes under MA5‑VOL‑C‑01, and units and measurement error belong to MA5‑MAG‑C‑01.
How do you find the volume of a prism?
Multiply the area of the cross-section by the length of the prism: \(V = Ah\). A triangular prism with a cross-section of area \(12\) cm\(^2\) and a length of \(10\) cm has volume \(V = 12 \times 10 = 120\) cm\(^3\).