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Algebra

2 formulas

Linear Equation

Linear Equation

Easy
\\[x = \frac{c - b}{a}\\]
x = (c - b) / a
a b c

Solves a simple linear equation ax + b = c

Quadratic Equation

Quadratic Formula

Medium
\\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\]
(-b ± sqrt(b²-4ac)) / (2a)
a b c

Solves any quadratic equation of the form ax² + bx + c = 0

Commercial Mathematics

3 formulas

Compound Interest

Compound Interest

Medium
\\[A = P\left(1 + \frac{R}{100}\right)^T\\]
A = P(1 + R/100)^T
P R T

Calculates amount after compound interest

Unit: ₦

Percentage

Percentage

Easy
\\[\% = \frac{\text{Part}}{\text{Whole}} \times 100\\]
% = (Part / Whole) × 100
part whole

Calculates a percentage of a value

Unit: %

Simple Interest

Simple Interest

Easy
\\[SI = \frac{PRT}{100}\\]
SI = (P × R × T) / 100
P R T

Calculates simple interest given Principal, Rate and Time

Unit: ₦

Mensuration

4 formulas

Circle

Area of a Circle

Easy
\\[A = \pi r^2\\]
πr²
r

Calculates the area of a circle given its radius

Unit: cm²

Circle

Circumference of a Circle

Easy
\\[C = 2\pi r\\]
2πr
r

Calculates the circumference (perimeter) of a circle

Unit: cm

Rectangle

Area of a Rectangle

Easy
\\[A = l \times b\\]
A = l × b
l b

Calculates the area of a rectangle given its length and breadth

Unit: cm²

Triangle

Area of a Triangle

Easy
\\[A = \frac{1}{2} b h\\]
½ × base × height
b h

Calculates the area of a triangle given its base and height

Unit: cm²

Number Theory

1 formula

HCF & LCM

Relationship: LCM & HCF

Medium
\\[LCM \times HCF = A \times B\\]
LCM × HCF = Product of the two numbers
A B

The product of LCM and HCF equals the product of the two numbers

Probability

1 formula

Basic Probability

Probability of an Event

Easy
\\[P(E) = \frac{\text{Favourable outcomes}}{\text{Total outcomes}}\\]
P(E) = Favourable / Total
favourable total

Calculates the probability of an event occurring

Statistics

2 formulas

Central Tendency

Arithmetic Mean

Easy
\\[\bar{x} = \frac{\sum x}{n}\\]
Mean = Sum of values / Number of values
sum n

Calculates the arithmetic mean (average) of a data set

Spread

Range

Easy
\\[\text{Range} = x_{max} - x_{min}\\]
Range = Max value - Min value
max min

Calculates the range of a data set

Trigonometry

2 formulas

Ratios

Sine Rule

Medium
\\[\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\\]
a/sin(A) = b/sin(B) = c/sin(C)
a b A B

Relates sides and angles of any triangle via sine

Unit: degrees

Right Triangle

Pythagoras Theorem

Medium
\\[a^2 + b^2 = c^2\\]
a² + b² = c²
a b c

Finds the hypotenuse or a side of a right-angled triangle

Unit: cm