Grade 7 Maths Worksheets

Learning Objectives

• Understand how to interpret scale factors in maps and diagrams.
• Apply proportional reasoning to find real-world distances from scaled measurements.
• Solve multi-step problems involving scale conversions and proportional relationships.+ 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 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 the concept of probability through real-world scenarios.
• Calculate and interpret experimental and theoretical probabilities.
• Apply probability concepts to solve multi-step problems involving chance.+ Show more

Learning Objectives

• Understand and apply estimation strategies for multiplication and division using rounded or compatible numbers.
• Evaluate the reasonableness of estimated results in real-world contexts such as shopping and measurements.
• Develop mathematical reasoning by analyzing the accuracy of estimations compared to exact calculations.+ 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 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

• Understand the concept of equivalent fractions using visual models and calculation methods.
• Apply cross-multiplication and simplification strategies to determine if fractions are equivalent.
• Interpret and analyze real-world scenarios involving ratios, proportions, and fractional relationships.+ 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

• Apply mathematical reasoning to analyze financial data and marketing claims.
• Calculate percentages, discounts, and total costs in practical scenarios.
• Interpret data to make informed financial decisions based on mathematical analysis.+ Show more

Learning Objectives

• Understand how to translate real-world scenarios into algebraic equations.
• Apply variables to represent unknown quantities in problem-solving.
• Develop skills to construct and interpret linear equations from contextual data.+ Show more

Learning Objectives

• Understand and interpret proportional relationships in different contexts.
• Solve real-world problems involving ratios, rates, and proportions.
• Compare and evaluate different expressions of proportionality.+ Show more

Learning Objectives

• Multiply rational numbers and apply predictable sign rules for products and quotients.
• Divide rational numbers by rewriting division as multiplication by the reciprocal.
• Simplify products and quotients of fractions and check reasonableness using magnitude.+ Show more

Learning Objectives

• Understand the importance of collaboration in developing problem-solving strategies.
• Apply mathematical reasoning to solve real-world problems through group discussion and shared reasoning.
• Interpret data and utilize calculations to make decisions in practical contexts.+ Show more

Learning Objectives

• Understand different methods for organizing collected data such as tables, charts, and graphs.
• Interpret and evaluate the clarity and effectiveness of visual data representations.
• Apply appropriate data organization techniques to real-world scenarios to improve analysis and communication.+ Show more

Learning Objectives

• Identify when two algebraic expressions are equivalent by rewriting them using distributive property and combining like terms
• Expand expressions with brackets (e.g., a(b+c)) to show equivalent forms clearly
• Explain how the structure of an expression shows what each coefficient contributes+ Show more

Learning Objectives

• Understand how to interpret linear relations represented in tabular form.
• Calculate the rate of change (slope) from data in tables.
• Identify the x-intercept and y-intercept from data tables.+ 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

• Apply sequential percent changes using multiplicative factors (e.g., discount then tax).
• Represent percent change using parts of a 100% tape diagram model.
• Translate percent situations into equations and solve for the unknown original amount.+ Show more

Learning Objectives

• Use the distributive property to expand expressions of the form p(x+q)
• Convert factored/parenthetical equations into equivalent linear equations
• Combine like terms correctly after expanding, then solve for the variable

Learning Objectives

• Apply algebraic expressions and equations to model real-world situations.
• Assess the reasonableness of solutions within practical contexts.
• Develop problem-solving strategies for budgeting, speed, and data interpretation.+ Show more

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

• Understand the concept of sequences and patterns in mathematics.
• Apply rules and formulas to generate and analyze sequences.
• Use sequences to model real-world situations and introduce basic coding concepts.+ Show more

Learning Objectives

• Understand how to calculate simple interest on loans and savings.
• Apply interest formulas to real-world borrowing and saving scenarios.
• Analyze the impact of interest rates on total debt and savings over time.+ Show more

Learning Objectives

• Interpret lengths on a scale drawing and identify corresponding drawing and actual lengths
• Find a scale factor as a ratio (actual ÷ drawing) and use it consistently
• Use the scale factor to calculate missing drawing or actual lengths+ Show more

Learning Objectives

• Interpret absolute value |x| as the distance of x from 0 on a number line.
• Explain why absolute values are always nonnegative and why opposite signs can give the same absolute value.
• Compute absolute values using distance from 0 and absolute value properties.

Learning Objectives

• Understand how to form and interpret linear equations based on real-world scenarios.
• Apply linear models to solve practical problems involving distance, cost, and data trends.
• Evaluate the reasonableness of linear models and interpret their parameters in context.+ Show more

Learning Objectives

• Understand and interpret proportional relationships using visual tools like tables and double number lines.
• Apply proportional reasoning to solve real-world problems involving ratios, rates, and percentages.
• Analyze and verify the consistency of solutions derived from proportional models.+ Show more

Learning Objectives

• Define relative frequency as the fraction of times an event occurs in repeated trials
• Calculate relative frequency from a set of observed counts (and simplify the fraction)
• Use relative frequency to estimate probability and interpret it as long-run behavior

Learning Objectives

• Develop mental math techniques for addition, subtraction, multiplication, and division of integers, fractions, and decimals.
• Evaluate the reasonableness of mental calculations in real-world contexts such as shopping or measurements.
• Apply mental math strategies to solve multi-step problems involving percentages and estimations.+ Show more

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

• Understand how to combine like terms in algebraic expressions.
• Apply the distributive property to simplify expressions.
• Develop problem-solving skills through real-world algebra scenarios.+ 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 and calculate basic measures of data spread such as range, interquartile range, and standard deviation.
• Interpret measures of spread to assess data variability and consistency in real-world contexts.
• Apply concepts of data spread to compare different data sets like test scores or measurements.+ Show more

Learning Objectives

• Identify complementary, supplementary, vertical, adjacent, and linear-pair angles
• Classify angle pairs formed by parallel lines and transversals
• Calculate unknown angle measures using geometric relationships+ Show more

Learning Objectives

• Read two-way frequency tables to find counts and totals
• Calculate percentages and relative frequencies from two-way tables
• Find missing values in two-way tables using totals and margins+ Show more

Learning Objectives

• Use vertical angles to find unknown angle measures in intersecting lines.
• Use linear pair relationships to solve for unknown angles on a straight line.
• Recognise and apply the idea of supplementary angles formed by adjacent angles.

Learning Objectives

• Use the triangle area formula A = (1/2)bh to find the area of a geometric component on a scale drawing.
• Apply a uniform scale factor to relate drawing areas to actual areas.
• Use additive area relationships to combine areas of parts to get a total actual area.+ Show more

Learning Objectives

• Understand proportional relationships can be written in the form y = kx.
• Identify and interpret the constant of proportionality k as the unit rate.
• Solve simple equations of the form kx = y to find x or k.+ Show more

Learning Objectives

• Determine the area scale factor when all lengths in a scale drawing are multiplied by the same scale factor
• Use the rule area scale factor = (length scale factor)² to find missing areas
• Interpret how changing linear dimensions affects surface coverage on a scale drawing

Learning Objectives

• Recognise that proportional relationships form straight lines that pass through the origin.
• Find the unit rate (slope) k from plotted points on a line through the origin.
• Use y = kx to predict y-values for new x-values and check whether a point fits the relationship.

Learning Objectives

• Summarize a distribution of relative frequency estimates using its center (typical value).
• Describe variability using measures such as the interquartile range (IQR) or range.
• Compare distributions from different chance processes by comparing their center and spread.

Learning Objectives

• Use vertical angle relationships to set up equations that show two angles are equal
• Use linear pair (supplementary) relationships to set up equations that add to 180°
• Solve equations to find unknown angle measures and explain why the equation matches the diagram

Learning Objectives

• Use a common nonzero denominator to clear fractions from both sides of an equation.
• Solve the resulting equation with integer coefficients and keep the same solution set.
• Connect clearing denominators to checking solutions in the original fractional equation.

Learning Objectives

• Apply the distributive property to expand expressions with parentheses.
• Combine like terms after expansion to write an equivalent linear expression in simplest form.
• Handle negative and fractional coefficients correctly during distributive expansion.

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

• 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

• Use relative frequency (number of successes ÷ number of trials) to estimate a probability.
• Describe how relative frequency tends to stabilize as the number of trials increases.
• Compare experimental estimates to a probability model using closeness (error).+ Show more