Mathematics Review: Measurement & Conversions

What is the area of a triangle with a base of 10m and a height of 6m?

What is the area of a circle with a radius of 2cm?

What is the area of a rectangle with a length of 12cm and a width of 2cm?

What is the area of a semicircle with a radius of 5m?

What is the area of a rectangle with a length of 1.2m and a width of 40cm?

What is the perimeter of a semicircle with a radius of 3cm?

What is the internal angle sum of a pentagon?

What is the value of x in the quadrilateral shown?

What is the supplementary angle to 80°?

What is the angle sum of a regular pentagon?

Which diagram shows equal alternate angles?

What is the value of a in the equation a + 80° = 180°?

What is the area of a rectangle with a length of 6m and a width of 4m?

Find the area of a triangle with a base of 5m and a height of 3m.

What is the perimeter of a rectangle with a length of 10m and a width of 4m?

Find the area of a circle with a radius of 3m.

What is the area of a trapezium with a height of 5m, a top base of 4m and a bottom base of 6m?

Find the area of a sector with a radius of 4m and an angle of 60°.

Geometry

The internal angle sum of a pentagon is unknown.
The internal angle sum of an octagon is unknown.
In a diagram, the supplementary angle to 80° is 100°.
The angle sum of a regular pentagon is 540°.
Equal alternate angles can be found in certain diagrams.

Fractions, Decimals, and Percentages

Equivalent fractions can be written in different forms, e.g. 3/5 = 11/55.
Evaluations can be performed on fractions, e.g. 3-1/4 = 2/4.
Reciprocals can be found for fractions, e.g. 2/5 reciprocal is 5/2.
Operations can be performed on fractions, e.g. 3/4 × 2/3 = 6/12.
Evaluations can be performed on decimals, e.g. 3.84 + 3.09 = 6.93.

Measurement

Conversions can be made between units, e.g. 5m = 500cm, 1.8m = 180cm.
The perimeter of shapes can be found, e.g. a rectangle with a length of 6m and a width of 4m has a perimeter of 20m.
The area of shapes can be found, e.g. a triangle with a base of 6m and a height of 10m has an area of 30m².
The circumference of a circle can be found using the formula C = 2πr.
The volume of solids can be found, e.g. a rectangular prism with a length of 4m, a width of 2m, and a height of 3m has a volume of 24m³.

Algebra

Expressions can be written to represent the sum of variables, e.g. p + q.
Expressions can be written to represent the product of variables, e.g. p × 3.
Evaluations can be performed on algebraic expressions, e.g. 7k - 2 when k = 3.
Simplification of algebraic expressions can be performed, e.g. 2a + 3a = 5a.

Time

Times can be written in 24-hour format, e.g. 3:30 pm = 15:30.

Review of essential mathematics concepts, focusing on measurement and conversions, including length, area, and volume. Practice problems and exercises for Australian Curriculum Year 8 students.