Mathematics Review: Measurement & Conversions

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.