sec 1 g3 end of year math revision

How do you calculate percentage?

Percentage = (Part ÷ Whole) × 100%

How do you convert a fraction to a decimal?

Decimal = Numerator ÷ Denominator

How do you find a fraction of a quantity?

Fraction of quantity = Fraction × Quantity

How do you express a ratio and find fractions of the total?

Ratio a:b, total parts = a+b, fraction of total = a/(a+b) or b/(a+b)

How do you solve a proportion a/b = c/d?

Cross multiply: a × d = b × c

How do you expand brackets a(b+c)?

a(b+c) = ab + ac

How do you factorise ab + ac?

ab + ac = a(b + c)

How do you solve a simple equation?

Use addition, subtraction, multiplication, division to isolate the variable

What is substitution in algebra?

Replace variables with given numbers to calculate

How do you calculate the perimeter of a shape?

Perimeter = sum of all sides

What is the area of a rectangle?

Area = length × width

What is the area of a square?

Area = side²

What is the area of a triangle?

Area = 1/2 × base × height

What is the area of a parallelogram?

Area = base × height

What is the area of a trapezium?

Area = 1/2 × (sum of parallel sides) × height

How do you calculate the circumference of a circle?

Circumference = 2 × π × radius or π × diameter

How do you calculate the area of a circle?

Area = π × radius × radius

What is the volume of a cube?

Volume = side³

What is the surface area of a cube?

Surface area = 6 × side²

What is the volume of a cuboid?

Volume = length × width × height

What is the surface area of a cuboid?

Surface area = 2(lw + lh + wh)

What is the volume of a cylinder?

Volume = π × radius² × height

What is the surface area of a cylinder?

Surface area = 2 × π × radius × (height + radius)

What is the formula for speed?

Speed = Distance ÷ Time

How do you calculate distance?

Distance = Speed × Time

How do you calculate time?

Time = Distance ÷ Speed

How do you calculate the average of a set of numbers?

Average = Sum of quantities ÷ Number of quantities

What is the sum of angles on a straight line?

180° (angles on a straight line)

What is the sum of angles at a point?

360° (for sum of angles at a point)

What is the sum of angles in a triangle?

180° (triangle)

What is the sum of angles in a quadrilateral?

360° (for sum of angles in a quadrilateral)

What are alternate angles?

Angles on opposite sides of a transversal (Z

What are corresponding angles?

Angles in the same position on parallel lines (F

What are co-interior angles?

Pairs of angles formed when a transversal line intersects two other lines, typically parallel lines. (C shape)

How do you calculate the mean of data?

Mean = Sum of data ÷ Number of data points

How do you find the median?

Median = Middle value when data is arranged in order

How do you find the mode?

Mode = Most frequent value in the data

How do you find the range of data?

Range = Maximum – Minimum

What is variable in math?

a variable is a symbol, most often a letter like 'x' or 'y', that represents an unknown or changing quantity