Grade 7 Math Worksheets
Twenty-four free printable worksheets covering core Grade 7 math topics, each with a full answer key.
Number Sense

Integers: Multiplying & Dividing
Sign rules for products and quotients, including squares of negative numbers.

Fractions, Decimals & Percents
Converting between forms, including percents above 100 and below 1.

Ratios, Rates & Proportional Reasoning
Simplifying ratios, unit rates, scale and solving proportions.

Powers, Exponents & Square Roots
Squares, cubes, exponent notation and perfect square roots.
Operations

Order of Operations with Integers
Applying BEDMAS when negative numbers and exponents are involved.

Multiplying & Dividing Fractions
Products, reciprocals and mixed numbers, with answers in lowest terms.

Percent Increase & Decrease
Finding the percent change and working forwards and backwards from it.

Decimal Operations & Estimation
Multiplying and dividing decimals, and estimating to check an answer is reasonable.
Patterning & Algebra

Algebraic Expressions & Like Terms
Collecting like terms, expanding brackets and substituting values.

Solving Two-Step Equations
Isolating the variable by undoing addition first, then multiplication.

Linear Relations & Tables of Values
Building tables from a rule, and finding the rule from a sequence.

The Cartesian Plane
Quadrants, reflections, dilatations and finding lengths on the grid.
Measurement & Geometry

Circles: Circumference & Area
Using pi to find the distance around and the space inside a circle.

Area of Composite Shapes
Trapezoids and shapes built by adding or subtracting simpler figures.

Volume & Surface Area of Prisms
Rectangular and triangular prisms, and converting volume to capacity.

Angles & Parallel Lines
Straight lines, angles at a point, triangles and angles formed by a transversal.
Data & Probability

Mean, Median, Mode & Outliers
Summarising data and judging which measure best represents it.

Displaying & Interpreting Data
Percentages, circle-graph angles and choosing the right display for the data.

Probability of Independent Events
Single events, complements and the probability of two events both happening.

Sampling & Bias
Choosing a fair sample, spotting loaded questions and judging conclusions.
Financial Literacy

Unit Rates & Best Buy
Comparing prices per unit, fuel consumption and simple currency conversion.

Tax, Discounts & Tips
Adding HST, applying discounts and calculating a tip on a bill.

Simple Interest & Saving
Using I = P x r x t to work out interest, totals and saving plans.

Budgeting & Spending Decisions
Building a budget, allocating percentages and separating needs from wants.
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