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Skill map
General Mathematics
Measurement and similarity
Chapter 9
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RESTS ON
Rounding
FOUNDATIONS
State the order of magnitude of a number and interpret changes in orders
CH 8
Decimal place value
FOUNDATIONS
Substitute known values into a formula and evaluate it correctly
CH 5
Multiplication and division
FOUNDATIONS
Convert between units
FOUNDATIONS
Multiply and divide fractions
FOUNDATIONS
Simplify a ratio
CH 1
Simplify a fraction
FOUNDATIONS
Solve two-step linear equations by inverse operations in reverse order
CH 5
Approximation and scientific notation
Pythagoras' theorem
Perimeter and area
Arcs and sectors
Volume and capacity
Volume of pyramids
Surface area
Similarity and scale factors
Tests for similar triangles
Similar solids and scale factors
Round a number to a stated count of significant figures
Write a large or small number as a × 10ⁿ with 1 ≤ a < 10
Multiply and divide numbers in standard form
Identify the hypotenuse and compute it from the two shorter sides
Compute a shorter side from the hypotenuse and the other leg
Find a length in a described solid by chaining plane right-angled triangles
Convert between area units and between volume units by squaring or cubing the length factor
Compute the perimeter of a described polygon as the sum of its side lengths
Select and apply the area formula matching the named shape and measurements
Compute a triangle's area from its three sides
Compute a circle's circumference and area from a stated radius or diameter
Trace the boundary of a composite shape
Compute a composite area by decomposition
Compute the length of an arc subtending θ° at the centre
Compute a sector's area as a fraction of the circle's area
Convert between volume in cubic units and capacity in mL or L
Compute a prism's volume as cross-sectional area × length
Compute a cylinder's volume as πr²h
Compute a cone's volume as one third of its enclosing cylinder
Compute a sphere's volume and a hemisphere's as half of that
Compute a pyramid's volume as one third of its enclosing prism
Compute the surface area of a solid with plane faces
Compute a pyramid's surface area as base plus triangular faces
Apply the curved-solid surface-area formulas
Decide whether two described polygons are similar
Compute the scale factor k of a similar pair
Scale areas of similar figures by k²
Find an unknown length on one of two similar figures
Decide whether two described triangles are similar and name the test
Decide whether two described solids of the same kind are similar
Scale volumes of similar solids by k³