Maths Worksheets

Learning Objectives

• Understand how to calculate experimental probabilities from data gathered through trials.
• Interpret data to compare experimental results with theoretical probabilities.
• Apply probability concepts to real-world scenarios involving randomness and sample size.+ Show more

Learning Objectives

• Understand how to analyze and compare different financial products using unit prices and interest rates.
• Develop problem-solving skills involving calculations of costs, percentages, and interest over time.
• Apply mathematical reasoning to evaluate consumer choices related to savings, loans, and credit options.+ Show more

Learning Objectives

• Identify and describe the rules behind numeric and algebraic patterns.
• Solve pattern-related problems involving calculations and interpretations.
• Apply understanding of sequences and functions to real-world contexts.+ Show more

Learning Objectives

• Apply basic arithmetic operations to solve budgeting problems.
• Interpret percentages and ratios in real-life financial contexts.
• Analyze resource allocation decisions and their outcomes.+ 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

• Use the proportional function rule y = kx to find unknown inputs or outputs
• Determine the constant of proportionality k from given values and apply it to new values
• Solve proportional relationships in context, interpreting the results as meaningful

Learning Objectives

• Identify x-intercepts and y-intercepts from a coordinate grid by reading where a graph crosses the axes.
• Interpret x-intercepts as input values where the output equals 0 (zeros).
• Interpret the y-intercept as the output value when the input is 0.+ Show more

Learning Objectives

• Understand different sampling techniques and their applications in data collection.
• Apply mathematical reasoning to interpret sampling data and estimate populations.
• Calculate sample sizes, probabilities, and margins of error in practical scenarios.+ Show more

Learning Objectives

• Interpret discounts, sales, and per-unit prices to compare value between options.
• Calculate savings and sale prices using proportional reasoning.
• Use ratios and tables to decide which purchase is the better buy.

Learning Objectives

• Understand the components of the surface area of cylinders, including lateral surface area and base areas.
• Apply formulas to calculate the surface area of cylinders in practical scenarios.
• Interpret real-world problems involving measurement and geometry to determine total surface area.+ Show more

Learning Objectives

• Rearrange algebraic formulas to isolate a chosen variable using inverse operations.
• Maintain algebraic equivalence by performing the same operation to both sides of an equation.
• Substitute into rearranged formulas accurately and interpret results using constraints (e.g., non-zero denominators, non-negative roots).

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

• Understand how degrees of numerator and denominator affect the end behavior of rational functions.
• Interpret asymptotes and complex features in the graphs of rational functions.
• Apply transformations and composite functions to analyze rational graphs.+ Show more

Learning Objectives

• Interpret and calculate percentages in various contexts such as discounts, taxes, and markups.
• Translate between fractions, decimals, and percentages accurately.
• Apply proportional reasoning to real-world problems involving price changes.+ Show more

Learning Objectives

• Identify and use the fact that a radius perpendicular to a chord bisects the chord
• Use the right angle formed by a perpendicular radius to relate radii, distances to chords, and half-chord lengths
• Solve for unknown chord segment lengths using midpoint and perpendicular constraints

Learning Objectives

• Apply mathematical calculations to interpret personal financial data.
• Analyze income and expenses to assess budgeting effectiveness.
• Use percentages and data interpretation skills in practical financial scenarios.+ Show more

Learning Objectives

• Understand how to calculate the midpoint of a segment using algebraic and geometric methods.
• Apply the midpoint formula to solve real-world problems involving segment division and coordinate geometry.
• Interpret the geometric significance of midpoints in symmetry and segment bisectors.+ Show more

Learning Objectives

• Interpret and evaluate function notation in various representations.
• Apply function composition and inverse functions to analyze real-world data.
• Solve multi-step problems involving function calculations and interpretations.+ Show more

Learning Objectives

• Calculate unit rates (price per 1 item or 1 kilogram) to compare value.
• Use proportional reasoning to complete tables and solve price equations.
• Evaluate which option is more affordable by comparing costs using the same quantity.

Learning Objectives

• Understand how to interpret scatter plots to identify different types of correlations.
• Calculate and compare the strength of linear relationships between data sets.
• Apply mathematical reasoning to interpret data and assess causality versus association.+ Show more

Learning Objectives

• Understand the properties of logarithms and how to apply them to solve equations.
• Develop skills to rewrite and manipulate logarithmic and exponential expressions.
• Apply logarithmic methods to solve real-world problems involving growth, decay, and data interpretation.+ 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

• Understand the characteristics of linear relations and their graphical representations.
• Apply algebraic methods to solve systems of linear equations using substitution and elimination.
• Interpret the solutions of linear systems within real-world contexts.+ Show more

Learning Objectives

• Solve multi-step ratio problems by finding an intermediate unit rate or quantity and then scaling to the final amount
• Keep the same proportional multiplier within each proportional relationship while applying it across steps
• Translate ratio situations into equations and use algebra to find missing values

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 how to combine like terms in algebraic expressions.
• Simplify algebraic expressions to their equivalent forms.
• Apply manipulation techniques to solve real-world problems involving linear relations.+ Show more

Learning Objectives

• Rewrite rational expressions into equivalent simplified forms by using factoring and canceling common factors.
• Identify excluded values by tracking when original denominators would be zero, even after cancellation.
• Explain why two algebraically similar rational forms may differ in domain and solution validity.

Learning Objectives

• Understand how to compute powers and roots efficiently using mathematical strategies.
• Apply knowledge of exponents to solve real-world problems involving growth and scaling.
• Analyze how powers influence size and quantities in practical contexts like finance and patterns.+ Show more

Learning Objectives

• Understand how shifts, stretches, and reflections affect quadratic functions both algebraically and graphically.
• Apply transformation concepts to interpret changes in the vertex and shape of a parabola.
• Solve real-world problems involving quadratic transformations in practical contexts.+ Show more

Learning Objectives

• Interpret key features of graphs of functions, including where they increase or decrease and where maxima or minima occur
• Use intercepts to describe how a function behaves at specific input values
• Sketch or describe a graph using features (not just isolated points)+ Show more

Learning Objectives

• Identify when two figures are similar using equal corresponding angles and proportional corresponding side lengths
• Use the scale factor between similar figures to find unknown side lengths
• Solve similarity problems involving proportional relationships and apply angle equality to find missing angles+ 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 rounding techniques to estimate results of rational number calculations.
• Develop reasoning strategies using benchmarks and compatible numbers to verify solutions.
• Solve multi-step word problems involving money, measurements, and percentages through estimation.+ Show more

Learning Objectives

• Translate word constraints (at most, at least, less than, greater than) into inequalities.
• Interpret a graph or number line to determine which values satisfy an inequality, including whether the boundary value is included.
• Write solution sets using interval notation for inequalities.

Learning Objectives

• Reflect on and evaluate problem-solving strategies used in mathematics.
• Analyze the effectiveness of different reasoning approaches for solving problems.
• Develop awareness of personal thinking processes to improve mathematical understanding.+ Show more

Learning Objectives

• Understand and apply basic trigonometric identities to solve equations.
• Solve trigonometric equations within specified intervals using algebraic and graphical methods.
• Interpret solutions of trigonometric equations in real-world contexts, such as periodic phenomena.+ Show more

Learning Objectives

• Understand and apply the product, quotient, and power rules of logarithms
• Simplify complex logarithmic expressions using fundamental properties
• Solve exponential and logarithmic equations through property manipulation+ Show more

Learning Objectives

• Translate word and graphical constraints into inequalities in one variable.
• Solve one-variable inequalities and describe the solution set correctly.
• Explain how inequality direction changes when multiplying or dividing by a negative number.+ Show more

Learning Objectives

• Distinguish rational and irrational numbers using whether their decimal expansions terminate or repeat
• Convert between common fractions and decimals to determine if a decimal terminates or repeats
• Use number line and graphs to connect decimal behaviour to rational vs irrational classification

Learning Objectives

• Use the form y = kx to describe proportional relationships that pass through the origin.
• Interpret the unit rate k as the slope of a proportional graph.
• Use proportional graphs to find missing y-values for given x-values and to compare rates of change.

Learning Objectives

• Translate word phrases into algebraic expressions using symbols and variables
• Simplify expressions by expanding brackets using the distributive property
• Recognize when two expressions or equations are equivalent

Learning Objectives

• Use inverse operations in a step-by-step algorithm to solve linear equations.
• Write algebraic expressions for outputs from given algorithm rules, including sequences.
• Check whether a proposed value is a solution by substituting into an equation.+ Show more

Learning Objectives

• Convert fractions to terminating decimals and relate them to equivalent decimals on a number line.
• Convert between fractions, decimals, and percents for the same rational value.
• Recognise when a fraction will have a terminating decimal and connect repeating decimals to fraction form.

Learning Objectives

• Understand how to apply trigonometric ratios to measure distances and angles in real-world navigation problems.
• Calculate distances between points using triangulation methods based on angle measurements.
• Interpret and solve multi-step navigation problems involving angles and distances.+ Show more

Learning Objectives

• Identify what the parts of an expression (coefficients, exponents, and factors) represent in a real situation
• Translate a word description into an algebraic expression and interpret the result
• Explain how changes to an expression’s structure affect the quantities it models

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 meaning of coefficients in algebraic expressions as rates of change.
• Interpret the initial value parameter in linear relationships within real-world contexts.
• Apply mathematical reasoning to solve problems involving coefficients and linear models.+ Show more