Grade 7 Maths Worksheets

Learning Objectives

• Identify different representations of linear relationships using algebraic and numerical methods.
• Calculate and interpret linear equations and data points in real-world contexts.
• Analyze the advantages and limitations of algebraic and numerical approaches in problem solving.+ Show more

Learning Objectives

• Translate a real-world situation into an equation by defining variables and writing equivalent modeled expressions
• Solve equations to find the variable value that satisfies the modeled relationship
• Interpret the solution in context and check that it makes sense

Learning Objectives

• Identify and describe basic number and geometric patterns.
• Use reasoning to determine rule sets for sequences and arrangements.
• Apply pattern rules to predict subsequent terms in sequences.+ Show more

Learning Objectives

• Understand and compare different methods for adding, subtracting, multiplying, and dividing fractions.
• Apply visual models and algorithmic techniques to solve fraction problems in real-world scenarios.
• Evaluate the effectiveness and accuracy of various fraction strategies through reasoning and calculation.+ Show more

Learning Objectives

• Understand and properly apply the order of operations in evaluating expressions.
• Solve multi-step problems involving parentheses, exponents, multiplication, division, addition, and subtraction.
• Analyze how different arrangements of operations affect the results of expressions.+ Show more

Learning Objectives

• Extract a greatest common factor (GCF) to rewrite a linear expression as a product
• Use factoring as the reverse of distribution to connect factored and expanded forms
• Solve linear equations by factoring out a common factor

Learning Objectives

• Understand different sampling methods used in data collection.
• Apply mathematical reasoning to interpret sampling data scenarios.
• Calculate sample statistics and evaluate sampling effectiveness.+ Show more

Learning Objectives

• Translate word statements into linear equations of the form px + q = r
• Identify the variable, coefficient(s), and constant when rewriting a situation as an equation
• Solve linear equations after rewriting from words

Learning Objectives

• Understand how to calculate and interpret the mean, median, and mode of a data set.
• Apply measures of central tendency to real-world data scenarios to support decision-making.
• Compare and analyze different measures to identify outliers and understand data distribution.+ Show more

Learning Objectives

• Solve equations of the form px + q = r by using equivalent transformations to isolate the variable.
• Handle fractions and negative numbers correctly when subtracting q and dividing by p.
• Check that a proposed value makes the original equation true.

Learning Objectives

• Understand how simple interest affects savings over time.
• Calculate the total amount after applying simple interest for different periods and rates.
• Interpret interest calculations to make informed saving decisions.+ Show more

Learning Objectives

• Assess and compare different problem-solving strategies used in mathematical contexts.
• Develop metacognitive skills by reflecting on personal reasoning and persistence.
• Apply logical reasoning and calculations to real-world problems involving percentages, measurements, and data interpretation.+ Show more

Learning Objectives

• Understand and interpret ratios and rates in real-world contexts.
• Apply proportional reasoning to solve problems involving measurements, money, and data.
• Model and compare different scenarios using ratios and rates to evaluate solutions.+ Show more

Learning Objectives

• Represent a percent increase or decrease as a multiplicative factor (e.g., +15% → ×1.15, −25% → ×0.75).
• Use proportional reasoning to find a new amount from a base amount after a percent change.
• Interpret percent models and conversion tables to move between fraction, decimal, and percent forms.

Learning Objectives

• Understand and interpret scale factors in drawings and maps.
• Apply proportional reasoning to determine actual measurements from scaled representations.
• Calculate real-world dimensions based on scale models.+ Show more

Learning Objectives

• Recognise proportional relationships by checking whether corresponding values form equivalent ratios
• Use constant multiplicative change (a single scale factor) to find missing values in proportional situations
• Identify the constant of proportionality k in models of the form y = kx

Learning Objectives

• Understand the criteria for selecting appropriate mathematical tools in problem-solving.
• Apply different tools such as diagrams, manipulatives, graphing software, and calculators to solve real-world problems.
• Assess the reasonableness of solutions based on the tools and methods used.+ Show more

Learning Objectives

• Understand and apply geometric formulas to calculate surface area of cylinders, cones, and other solids.
• Decompose complex shapes into manageable parts for easier measurement.
• Solve real-world problems involving surface area in practical contexts like packaging and engineering.+ Show more

Learning Objectives

• Understand basic probability concepts and models.
• Apply probability principles to real-world and experimental scenarios.
• Calculate theoretical probabilities of simple events involving coins and dice.+ Show more

Learning Objectives

• Understand how nets represent three-dimensional shapes.
• Calculate surface area of nets for cubes and pyramids.
• Interpret real-world 3D models from their nets.+ Show more

Learning Objectives

• Apply probability rules to calculate the likelihood of combined and sequential events.
• Interpret and analyze probability trees for complex scenarios.
• Use multiplication and addition principles to solve layered probability problems.+ Show more

Learning Objectives

• Compare rational numbers by using their positions relative to 0 on the number line.
• Order rational numbers with different signs and with the same sign.
• Use absolute value (distance from 0) to justify comparisons.

Learning Objectives

• Understand how to decompose complex shapes into basic geometric figures to find their area.
• Apply the concept of summing areas of decomposed parts in real-world contexts.
• Develop problem-solving skills through multi-step reasoning involving measurements and calculations.+ Show more

Learning Objectives

• Understand and compare different payment methods and their costs.
• Apply mathematical calculations to budget and evaluate consumer choices.
• Interpret data and marketing claims to make responsible financial decisions.+ Show more

Learning Objectives

• Understand how to perform basic operations with decimal numbers accurately.
• Interpret and evaluate the reasonableness of decimal calculations in real-world contexts.
• Apply problem-solving strategies to multi-step decimal problems involving addition, subtraction, multiplication, and division.+ Show more

Learning Objectives

• Understand the concept of bias and how it affects data validity.
• Apply mathematical reasoning to evaluate sampling methods and data accuracy.
• Perform calculations involving percentages, proportions, and data interpretation in real-world scenarios.+ Show more