Grade 7 Maths Worksheets

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

• 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

• 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

• 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

• Understand how to plot points from a linear equation on a coordinate grid.
• Interpret the slope and intercept of a linear equation in graphing.
• Apply graphing methods to solve real-world problems involving linear relations.+ 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

• 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

• 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

• 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 forms of linear equations such as slope-intercept and point-slope forms.
• Apply algebraic techniques to rewrite linear equations in various formats.
• Interpret the features of a line based on its equation form, such as rate of change and initial value.+ 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

• 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 the effects of translations, rotations, reflections, and dilations on geometric figures.
• Apply transformation concepts to solve real-world problems involving shape adjustments and measurements.
• Analyze the properties preserved or changed through various transformations to understand symmetry, congruence, and similarity.+ 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

• Understand how to decompose complex shapes into simpler components to calculate area.
• Apply mathematical reasoning to solve multi-step area problems in real-world contexts.
• Interpret diagrams and measurements to determine the total area of composite shapes.+ Show more

Learning Objectives

• Identify and classify regular and irregular polygons based on side lengths and angles.
• Apply properties such as congruence and symmetry to analyze polygons.
• Calculate missing angle measures in polygons and interpret real-world scenarios involving shape properties.+ 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

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

• Understand and calculate the perimeter of various geometric shapes including rectangles and composite figures.
• Apply formulas to find the area of rectangles and more complex figures involving multiple shapes.
• Interpret real-world problems to determine perimeter and area, making practical measurements.+ Show more

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

• 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

• 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 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

• 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

• 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

• 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

• 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

• 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

• 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 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

• Represent probability using numbers between 0 and 1 and interpret 0 and 1
• Match probability statements to inequalities and interval notation
• Convert probability values between decimal and fraction forms when outcomes are equally likely

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

• 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

• 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

• Solve one-step equations using inverse operations accurately.
• Solve two-step equations by applying inverse operations in the correct order.
• Identify and correct common equation-solving mistakes.+ Show more

Learning Objectives

• Interpret income and expenses to assess financial health.
• Apply mathematical calculations to solving budgeting scenarios.
• Differentiate between fixed and variable costs in personal finance.+ 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

• Identify different types of polygons based on their side counts and angles.
• Calculate the interior angle sums of various polygons.
• Apply polygon properties to real-world scenarios involving measurement and classification.+ 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

• 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

• 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

• 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

• 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

• 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 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

• 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

• Identify the five parts of a box-and-whisker plot
• Calculate five-number summaries from ordered data sets
• Construct accurate box plots on scaled number lines+ 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