Maths Worksheets

Learning Objectives

• Evaluate exact trigonometric values for common radian angles using the unit circle.
• Determine the signs of sine, cosine, and tangent based on the quadrant.
• Use radian angle relationships and periodicity to find equivalent trig values.

Learning Objectives

• Understand the definition and notation of vectors in two and three dimensions.
• Calculate the magnitude and direction of vectors in real-world contexts.
• Interpret vectors as directed line segments and analyze their properties.+ Show more

Learning Objectives

• Understand basic probability concepts and how to calculate simple probabilities in real-world scenarios.
• Apply probabilistic reasoning to evaluate risks and support informed decision-making.
• Interpret likelihood and compare different probabilistic outcomes in everyday contexts.+ Show more

Learning Objectives

• Solve systems of two linear equations using substitution and elimination.
• Interpret a system’s solution as the intersection point that satisfies both equations at the same time.
• Check whether an ordered pair satisfies both equations in a system.+ Show more

Learning Objectives

• Apply measures of central tendency and variability to analyze real-world data.
• Interpret data summaries to draw meaningful conclusions.
• Evaluate sampling methods and their impact on data reliability.+ Show more

Learning Objectives

• Translate verbal calculations into numerical expressions using whole-number operations.
• Identify operation symbols from mathematical terms and verbal phrases.
• Match written mathematical descriptions with equivalent numerical expressions.+ Show more

Learning Objectives

• Identify operations and mathematical vocabulary within numerical expressions.
• Interpret the meaning of parentheses and grouping symbols.
• Translate verbal descriptions into correctly grouped numerical expressions.+ Show more

Learning Objectives

• Calculate multi-digit whole-number products using accurate multiplication strategies.
• Divide multi-digit whole numbers to find accurate quotients.
• Estimate products and quotients using appropriate numerical strategies.+ Show more

Learning Objectives

• Understand and interpret various financial components involved in personal budgeting.
• Apply mathematical calculations to real-world financial scenarios.
• Analyze banking instruments and their role in personal finance management.+ Show more

Learning Objectives

• Understand how to calculate total repayment amounts based on interest rates and payment schedules.
• Apply mathematical reasoning to compare different loan repayment options in real-world contexts.
• Interpret the effects of varying interest rates and payment amounts on loan affordability and duration.+ Show more

Learning Objectives

• Understand different data visualization techniques such as pie charts, histograms, and box plots.
• Interpret data distributions and identify measures of central tendency and variability.
• Evaluate the effectiveness of various data representations in communicating information.+ Show more

Learning Objectives

• Understand different methods of data collection such as surveys and observational studies.
• Apply sampling techniques to gather representative data.
• Interpret data sets to assess their validity and accuracy.+ Show more

Learning Objectives

• Identify and describe basic arithmetic and geometric sequences.
• Apply pattern rules to find missing numbers in sequences.
• Use formulas to generalize and extend number patterns.+ Show more

Learning Objectives

• Understand how to model data using fractions, decimals, and percents in practical scenarios.
• Evaluate the appropriateness of different representations to communicate information clearly.
• Apply calculations involving fractions, decimals, and percentages to solve real-world problems.+ Show more

Learning Objectives

• Round decimal numbers accurately to the nearest whole number.
• Apply place-value reasoning when rounding to tenths and hundredths.
• Round precise decimal measurements to the nearest thousandth.+ Show more

Learning Objectives

• Compare decimal numbers through the thousandths place accurately.
• Identify the place value of digits in decimal numbers.
• Use greater than, less than, and equal to symbols correctly.+ Show more

Learning Objectives

• Apply trigonometric identities to simplify complex expressions.
• Solve equations involving periodic and oscillatory functions.
• Interpret solutions geometrically and algebraically in real-world contexts.+ Show more

Learning Objectives

• Identify and describe linear and nonlinear number patterns.
• Use tables, graphs, and equations to analyze patterns.
• Apply pattern recognition to predict future values in real-world contexts.+ Show more

Learning Objectives

• Understand the concept of compound interest and how it affects investment growth.
• Calculate the future value of investments based on different interest rates and compounding frequencies.
• Interpret data related to investment options and make informed financial decisions.+ Show more

Learning Objectives

• Interpret complex statistical models such as multiple regression and non-linear models in real-world contexts.
• Evaluate the assumptions and limitations of advanced statistical models.
• Apply mathematical reasoning to analyze data and draw informed conclusions.+ Show more

Learning Objectives

• Understand the process of constructing regression models from data.
• Calculate and interpret the slope and intercept in the context of real-world data.
• Apply regression analysis to predict outcomes based on variable relationships.+ Show more

Learning Objectives

• Understand the concept of confidence intervals for population means and proportions.
• Apply formulas to calculate confidence intervals in real-world scenarios.
• Interpret the results of statistical inference to make informed decisions.+ Show more

Learning Objectives

• Understand when and how to properly interpret measures of central tendency and variability.
• Apply calculations to determine mean, median, and range in practical data sets.
• Compare different measures to evaluate data usefulness in real-world contexts.+ Show more

Learning Objectives

• Understand and apply higher-order derivatives in analyzing function behaviour.
• Differentiate composite functions with multiple layers accurately.
• Interpret second and higher derivatives to describe concavity and inflection points.+ Show more

Learning Objectives

• Understand the concept of composing functions and its effects on graphs and algebraic expressions.
• Apply function composition to solve real-world problems involving measurements, budgeting, and data interpretation.
• Analyze how composition relates to inverse functions and interpret the behavior of composed functions.+ Show more

Learning Objectives

• Find and interpret median and interquartile range (IQR) from a box plot and explain what they say about center and spread.
• Use mean/median and range/IQR to compare two data sets, especially when one distribution is skewed or has outliers.
• Justify which statistical measure (median vs mean, IQR vs range) is most appropriate for a given distribution shape.

Learning Objectives

• Apply mathematical concepts to personal finance scenarios involving budgeting, interest, and amortization.
• Interpret financial data and make informed decisions based on calculations and analysis.
• Develop problem-solving skills through real-world financial situations.+ Show more

Learning Objectives

• Apply the concepts of distance, midpoint, and line equations to model and solve resource distribution problems.
• Interpret graphical and numerical data to optimize resource allocation in real-world contexts.
• Develop mathematical reasoning and problem-solving skills related to applied resource management scenarios.+ Show more

Learning Objectives

• Understand different methods of data collection such as surveys and observations.
• Apply mathematical calculations to interpret data gathered from real-world scenarios.
• Develop reasoning skills related to sampling techniques and ethical considerations in data gathering.+ Show more

Learning Objectives

• Understand the concept of scaling and proportional relationships.
• Apply ratios to interpret scaled measurements in real-world contexts.
• Perform multi-step calculations involving scaling factors and measurements.+ Show more

Learning Objectives

• Understand the concept of compound interest and how it differs from simple interest.
• Calculate future value of investments using compound interest formulas.
• Analyze the effect of compounding frequency on investment growth.+ Show more

Learning Objectives

• Understand how interest rates affect long-term savings and debt.
• Apply mathematical calculations to evaluate different payment plans and budgeting options.
• Interpret financial data and make informed decisions based on quantitative analysis.+ Show more

Learning Objectives

• Write composed functions using the correct order (f ∘ g)(x) = f(g(x)).
• Evaluate composed function models by substituting one function into another.
• Interpret composed models as multi-step processes where one output becomes the next input.+ Show more

Learning Objectives

• Understand the geometric and algebraic methods of vector addition and scalar multiplication.
• Apply vector concepts to solve real-world problems involving navigation, force diagrams, and measurements.
• Analyze how scaling vectors affects their magnitude and direction.+ Show more

Learning Objectives

• Interpret linear relationships using tables, graphs, and equations
• Identify the constant rate of change and link it to the slope of a graph
• Use an equation to model a real-world situation and make predictions

Learning Objectives

• Understand and interpret unit pricing labels to determine cost-effectiveness.
• Calculate and compare unit prices across different products and sizes.
• Apply mathematical reasoning to make informed shopping decisions.+ Show more

Learning Objectives

• Understand how to calculate discounts and price adjustments using percentages.
• Apply proportional reasoning to interpret sale prices, taxes, and markups.
• Solve multi-step problems involving percentages, decimals, and fractions in real-world contexts.+ 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 complementary angle relationships in a right triangle to convert between sine and cosine values.
• Use complementary angle cofunction relationships to convert between tangent and cotangent values.
• Apply cofunction identities to solve for missing trigonometric ratios of acute angles.

Learning Objectives

• Solve rational equations by clearing denominators and using domain restrictions
• Identify and reject extraneous solutions by checking answers in the original equation
• Write the set of values excluded by denominators and explain why they must be excluded

Learning Objectives

• Identify domain restrictions, including excluded x-values, from rational functions
• Determine vertical asymptotes and holes by factoring and checking canceled factors
• Find x- and y-intercepts by using zeros of the numerator with nonzero denominators+ Show more

Learning Objectives

• Convert between equivalent polynomial forms (expanded, factored, and vertex form) for quadratics
• Use factoring to identify zeros and x-intercepts of polynomial functions
• Use completing the square to rewrite quadratics in a form that reveals the vertex and maximum/minimum value+ Show more

Learning Objectives

• Describe how translations, rotations, and reflections move points on a 2D coordinate grid.
• Calculate the image of a point under a specified rigid motion.
• Use properties of rigid motions to verify that distances and angles are preserved.

Learning Objectives

• Explain what a unit rate is and how it relates to ratios.
• Complete and interpret ratio tables by finding missing values.
• Convert between equivalent rates using consistent scaling to get values for a denominator of 1.+ Show more

Learning Objectives

• Recognise how open and closed endpoints show strict and non-strict inequalities on a number line.
• Read a solution set from an inequality number line and write the matching inequality.
• Represent the solution set of an inequality using interval notation.

Learning Objectives

• Read a line plot to find key features such as the mode, range, and gaps.
• Describe the overall shape of a line plot by looking for clustering and spread.
• Use frequency information from stacked marks to support conclusions about where values concentrate and how values vary.

Learning Objectives

• Describe whether a function’s output increases or decreases as the input changes using interval notation.
• Read increasing/decreasing intervals from a graph by using key features such as intercepts/vertices and direction.
• Interpret monotonic trends from a table and translate them into interval notation.

Learning Objectives

• Understand the concept of linear relations and how they can be represented using tables, graphs, and algebraic expressions.
• Identify linear patterns and interpret the rate of change in real-world scenarios.
• Apply mathematical reasoning to analyze and interpret data involving linear relationships.+ Show more