✓ Effortless Math · Free Formula Review
Grade 6 Math Formula Review
Every key Grade 6 math formula on one page — ratios, percents, integers, expressions, geometry, statistics, and probability.
Ratios & Proportional Relationships
Unit ratea rate with denominator 1 (e.g., 60 miles per 1 hour)
Constant of proportionalityk = y ÷ x
Proportional equationy = k x
Solving a proportiona/b = c/d → a × d = b × c
Scale drawingdrawing length = actual length × scale factor
Percents & Financial Literacy
Percent of a numberpart = percent (decimal) × whole
Percent change(new − old) ÷ old × 100
Markup / discount / tax / tipfinal = original ± (percent × original)
Simple interestI = p × r × t (rate as a decimal)
The Number System
Subtracting integersa − b = a + (−b)
Multiplying / dividing signssame signs → +, different signs → −
Absolute value|x| = distance of x from 0 (never negative)
Expressions & Equations
Distributive propertya(b + c) = a·b + a·c
Two-step equationundo + / − first, then × / ÷ (same to both sides)
Inequalitiesflip the sign when you × or ÷ by a negative
Geometry
Area of a rectangleA = l × w
Area of a triangleA = ½ × b × h
Area of a parallelogramA = b × h
Area of a trapezoidA = ½ (b₁ + b₂) h
Circumference of a circleC = π d = 2 π r
Area of a circleA = π r²
Volume of a prismV = B × h (B = base area)
Statistics & Probability
Mean (average)sum of values ÷ number of values
Rangemaximum − minimum
Interquartile range (IQR)Q₃ − Q₁
ProbabilityP(event) = favorable ÷ total outcomes