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What is the formula used to find the hypotenuse?
C² = a² + b²

What is the formula used to find the short side of a triangle?
a² + b² = C²

How to find the perimeter of a polygon.
Adding the lengths of all sides of the polygon.
What is perimeter?
The total distance around the outside boundary of a two-dimensional shape.

What is the formula for circumference when there is radius?
2 x π x r

What is the formula for circumference when there is diameter.
π x d
Convert 1km² into ha and state the conversion.
1km² x 100
1km² = 100 ha
Convert 1ha into m² and state the conversion.
1ha x 10 000
1ha = 10 000m²
Convert 1m² into cm² and state the conversion.
1m² x 10 000
1m² = 10 000cm²
Convert 1cm² into mm² and state the conversion.
1cm² x 100
1cm² = 100mm²
What conversion do I need to do to get from mm² to cm²?
Divide by 100
What conversion do I need to do to get from cm² to m²?
Divide by 10 000
What conversion do I need to do to get from m² to ha?
Divide by 10 000
What conversion do I need to do to get from ha into km²?
Divide by 100

What is the area of a rectangle?
= length x width

What is the area of a triangle?
= 1/2 x base x height

What is the area of a parallelogram?
= base x height

What is the area of a trapezium?
= 1/2 x (a + b) x h

What is the area of a kite?
= 1/2 x d₁ x d₂

What is the area of a circle?
= π x r²

What is a composite figure?
Figures made up of two or more basic shapes.

What is the volume of a solid?
The amount of space a solid occupies.
1 cubic millimetre is the volume of a cube with side length..
1mm
1 cubic centimetre is the volume of a cube with side length..
1cm
1 cubic metre is the volume of a cube with side length..
1m
1cm³ = 10mm x 10mm x 10mm =
1000mm³
1m³ = 100cm x 100cm x 100cm =
1 000 000cm³
State the conversion for m³ into cm³.
Multiply by 1 000 000
State the conversion for cm³ into mm³.
Multiply by 1000
State the conversion for mm³ into cm³.
Divide by 1000
State the conversion for cm³ into m³.
Divide by 1 000 000

What is the volume of a solid of uniform cross-section?
= area of end x length

What is the volume of rectangular prism.
= length x width x height

What is the volume of cylinder?
= π x r² x h
How do you calculate the area of a composite figure?
Split the figure into smaller and calculate their areas, add or subtract as needed.
What does a uniform cross-section mean?
A solid has the same cross-sectional shape and area throughout its length.
How many millimetres are in a centimetre?
10mm
How many centimetres are in a metre?
100cm
How many metres are in a kilometre?
1000m
How many millilitres are in a litre?
1000ml
How do you convert cubic centimetres to millilitres?
1cm³ = 1ml
How do you identify which formula to use in a word problem?
Identify what the question asks you to calculate, recognise the shape and choose the appropriate formula.