Grade 7 Maths Worksheets

Learning Objectives

• Translate real-world situations into rational-number expressions using addition, subtraction, multiplication, and division.
• Interpret the meaning of positive and negative values (gain vs. loss, up vs. down) in the context of the situation.
• Simplify and evaluate rational expressions to find interpretable results.

Learning Objectives

• Add and subtract integers and rational numbers using sign-sensitive calculations.
• Solve linear equations involving rational coefficients by performing balanced inverse operations.
• Use equivalent forms (like factoring/distributing) to simplify rational-number expressions.

Learning Objectives

• Explain why dividing by a nonzero rational number q is the same as multiplying by its reciprocal 1/q.
• Rewrite quotients of rational numbers as multiplication problems using multiplicative inverses.
• Evaluate and simplify rational-number divisions and interpret the reciprocal/cancellation patterns.

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

• Interpret |x| as the distance of a rational number x from 0
• Compare rational numbers using their absolute values (distances from 0)
• Solve simple absolute value equations+ Show more

Learning Objectives

• Combine successive rational changes (rises and drops) to find a net change in context
• Use rational multipliers and fractions to scale quantities and interpret the meaning of the result
• Check whether a rational answer makes sense by interpreting its direction and magnitude in the scenario

Learning Objectives

• Translate “at least” and “no more than” situations into linear inequalities
• Solve linear inequalities and interpret the solution as a range of allowed values
• Match inequality signs to open/closed boundaries when representing solution sets on number lines

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

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

• Interpret unit rates as ratios divided to a per-1 quantity, even when amounts are fractions
• Compute unit rates by dividing by a fractional quantity (using equivalent fractions or reciprocals)
• Use tape diagrams and ratio reasoning to support unit rate calculations with fractional parts+ Show more

Learning Objectives

• Convert a ratio into a unit rate by dividing so the second quantity is 1
• Interpret unit rates in real-world contexts such as speed and price per item
• Solve problems using unit rates to scale to different quantities

Learning Objectives

• Complete proportional tables by finding missing values using a constant ratio y/x
• Use the constant of proportionality y/x to extend patterns in tables
• Check whether a table represents a proportional relationship by comparing y/x across rows+ Show more

Learning Objectives

• Use tape diagrams to interpret ratios and ratios that stay equivalent when quantities are scaled.
• Solve multi-step ratio scaling problems by applying proportional scale factors consistently across steps.
• Check that intermediate and final quantities keep the same ratio.

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

• 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

• 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

• Use the distributive property with rational coefficients (fractions and negatives) to expand expressions with parentheses
• Rewrite equivalent expressions by distributing the same rational factor to every term inside parentheses
• Combine like terms after distribution to simplify correctly+ Show more

Learning Objectives

• Interpret solution sets for equations and inequalities in the context of a problem statement
• Use equivalent algebraic forms to keep the same meaning when modelling and interpreting results
• Match inequality solution direction to words like “at least” and “no more than”

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

• 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 apply formulas for calculating the surface area of cylinders, cones, and pyramids.
• Interpret real-world problems involving surface area in contexts like packaging and construction.
• Decompose three-dimensional objects into nets and interpret cross-sections for surface area calculations.+ Show more

Learning Objectives

• Identify and describe key properties of two-dimensional shapes such as angles, parallel lines, and symmetry.
• Apply geometric concepts to interpret real-world shapes and scenarios.
• Calculate angles and measures within polygons and circles.+ Show more

Learning Objectives

• Understand the properties of exponents, including product and power of a power laws.
• Apply exponent rules to simplify expressions in mathematical and real-world contexts.
• Interpret exponential expressions in practical situations such as population growth or decay.+ 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

• Apply percentage calculations to real-world problems involving discounts, taxes, and interest.
• Interpret the meaning of percent ratios and analyze how changing bases or rates affects outcomes.
• Develop problem-solving strategies for verifying the reasonableness of percentage calculations.+ 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

• Understand the relationship between subtraction and addition of integers.
• Apply integer subtraction in real-world contexts such as finance, temperature, and elevation.
• Develop problem-solving strategies for multi-step subtraction problems involving negative and positive integers.+ Show more

Learning Objectives

• Understand how to add positive and negative integers in various contexts.
• Apply integer addition to real-world scenarios like budgeting and temperature changes.
• Develop reasoning skills to evaluate the reasonableness of integer sums in practical situations.+ 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 apply the product, quotient, and power properties of exponents.
• Interpret exponents in real-world contexts such as growth, population, and financial calculations.
• Evaluate the reasonableness of exponential expressions and solutions in practical problems.+ Show more

Learning Objectives

• Apply the order of operations to evaluate algebraic and numerical expressions accurately.
• Interpret the structure of complex expressions, including exponents and fractions.
• Analyze and verify the correctness of evaluated results in real-world scenarios.+ Show more

Learning Objectives

• Understand how to convert between decimals and percents accurately.
• Interpret decimals, percents, and ratios in real-world contexts like discounts and data analysis.
• Apply proportional reasoning and evaluate multiple methods for conversions.+ Show more

Learning Objectives

• Understand how to perform multiple integer operations within complex contexts.
• Apply addition, subtraction, multiplication, and division to solve real-world problems involving integers.
• Analyze the results of combined operations to check their reasonableness in practical scenarios.+ Show more

Learning Objectives

• Understand how to interpret and create visual representations such as graphs and diagrams for problem-solving.
• Apply appropriate visual tools to analyze and validate solutions in spatial and numerical contexts.
• Develop critical thinking skills by assessing the effectiveness and limitations of different visual representations.+ Show more

Learning Objectives

• Analyze personal problem-solving strategies and identify areas for improvement.
• Apply mathematical reasoning to real-world scenarios involving calculations and interpretation.
• Develop perseverance and reflection skills in solving complex math problems.+ Show more

Learning Objectives

• Identify and evaluate different problem-solving strategies used in mathematics.
• Apply logical reasoning and visual methods to solve complex problems.
• Select appropriate strategies for various mathematical challenges.+ Show more

Learning Objectives

• Develop skills to analyze and interpret complex mathematical problems expressed in word form.
• Apply logical reasoning and problem-solving strategies to multi-step mathematical questions.
• Recognize connections across different mathematical topics such as algebra, geometry, and percentages when solving problems.+ 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

• Identify and categorize various sources of income such as wages, investments, and benefits.
• Calculate net income after deductions from gross income using percentage-based deductions.
• Interpret real-world income scenarios and solve related mathematical problems.+ Show more

Learning Objectives

• Analyze marketing claims related to credit cards, loans, and savings plans.
• Calculate and compare interest rates and costs to evaluate financial benefits.
• Interpret advertised benefits using mathematical reasoning.+ Show more

Learning Objectives

• Understand the concept of simple interest and how it is calculated.
• Apply interest formulas to real-world scenarios involving savings and loans.
• Interpret interest rates and assess their impact on financial decisions.+ Show more

Learning Objectives

• Understand how to compute simple interest using principal, rate, and time.
• Interpret interest rate data to compare savings options and loan costs.
• Apply mathematical reasoning to solve real-world financial problems involving interest.+ Show more

Learning Objectives

• Understand how to interpret income and expenses in real-world scenarios.
• Apply mathematical operations to calculate budgets, savings, and expenses.
• Develop problem-solving skills related to financial planning and data interpretation.+ Show more

Learning Objectives

• Interpret various financial options such as payment plans, savings accounts, and loan terms.
• Apply mathematical calculations to compare costs and benefits of different financial decisions.
• Analyze consumer information to make responsible and informed financial choices.+ Show more

Learning Objectives

• Calculate and compare costs associated with different payment options including fees and interest.
• Apply percentages to determine transaction fees and interest charges in real-world scenarios.
• Interpret financial data to make responsible payment choices based on cost-benefit analysis.+ Show more

Learning Objectives

• Apply mathematical calculations to real-world shopping and budgeting scenarios.
• Interpret percentages, discounts, and pricing to make informed consumer choices.
• Analyze multi-step financial problems involving costs, savings, and comparisons.+ Show more

Learning Objectives

• Calculate and compare costs associated with different payment methods.
• Apply mathematical reasoning to interpret real-world financial scenarios.
• Evaluate benefits and drawbacks of payment options through problem-solving activities.+ Show more

Learning Objectives

• Understand how budgeting helps in achieving financial goals.
• Apply mathematical skills to interpret budgeting scenarios.
• Calculate allocations, savings, and expenses based on income data.+ Show more