Maths Worksheets

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

• Apply exponential growth and decay concepts to real-world problems.
• Interpret mathematical models with multiple variables in scientific and financial contexts.
• Evaluate the effectiveness and limitations of exponential and logarithmic models.+ Show more

Learning Objectives

• Understand the formulas for simple and compound interest.
• Calculate interest accrued over different time periods.
• Apply interest concepts to real-world financial scenarios.+ Show more

Learning Objectives

• Understand the concept of ratios and their practical applications.
• Calculate and interpret ratios in real-world contexts such as shopping and measurements.
• Simplify ratios and recognize proportional relationships.+ Show more

Learning Objectives

• Apply volume formulas for prisms and related solids using correct base area and dimensions
• Solve measurement problems by finding missing dimensions or comparing volumes
• Use consistent units and interpret calculated volumes in context

Learning Objectives

• Describe the direction of association in a scatter plot (positive, negative, or none).
• Judge the strength of association by how tightly points cluster around a general trend.
• Read coordinates from a scatter plot and use them to support conclusions about the pattern.

Learning Objectives

• Interpret linear models in real-world contexts and analyze data trends.
• Construct and interpret data tables and graphs to model linear relationships.
• Calculate and evaluate the parameters of linear models, such as slope and intercept.+ Show more

Learning Objectives

• Understand how trigonometric functions can model real-world periodic phenomena.
• Interpret amplitude, period, and phase shift in the context of oscillating patterns.
• Apply formulas for sine and cosine functions to solve practical problems involving periodic motion.+ Show more

Learning Objectives

• Describe how a dilation scales distances from a fixed center using a scale factor
• Find the image of points under a dilation using coordinates and the scale factor
• Use dilation properties to reason about proportional segments, preserved angles, and parallel lines

Learning Objectives

• Understand the concept of implicit differentiation and when it is applied
• Apply implicit differentiation to find derivatives of implicitly defined functions
• Interpret derivatives at points on curves defined by relations involving both variables+ Show more

Learning Objectives

• Understand the concept of ratios and how to compare quantities using proportional reasoning.
• Apply ratios to solve real-world problems such as scaling recipes and calculating speeds.
• Interpret and analyze proportional relationships in different contexts.+ Show more

Learning Objectives

• Understand how collaborative feedback enhances mathematical understanding and reasoning.
• Apply teamwork strategies to solve real-world mathematical problems.
• Analyze the impact of respectful and constructive feedback on problem-solving outcomes.+ Show more

Learning Objectives

• Analyze and compare the accuracy of different algebraic and graphical models in real-world problems.
• Apply criteria such as simplicity, fit, and interpretability to evaluate models.
• Use mathematical reasoning to justify the choice of a model based on data and context.+ Show more

Learning Objectives

• Understand different methods of collecting data systematically.
• Apply sampling techniques to gather representative data.
• Interpret data presented in tables and graphs.+ Show more

Learning Objectives

• Understand the difference between experimental and theoretical probability.
• Apply probability concepts to real-world scenarios and data analysis.
• Calculate experimental probabilities from data and compare with theoretical values.+ Show more

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

• Develop skills to perform multi-step calculations involving rational numbers accurately.
• Apply understanding of order of operations to solve real-world problems.
• Interpret and validate solutions by estimating and reasoning about outcomes.+ Show more

Learning Objectives

• Understand the properties of sine and cosine functions, including amplitude, period, phase shift, and vertical displacement.
• Apply mathematical reasoning to interpret and compare sinusoidal models in real-world contexts.
• Calculate and analyze parameters of periodic functions to solve practical problems involving cycles and oscillations.+ Show more

Learning Objectives

• Interpret and analyze various types of diagrams to understand linear relationships.
• Graph linear equations and inequalities accurately and interpret their features.
• Compare graphical and algebraic forms of linear relations using real-world data.+ Show more

Learning Objectives

• Use the identity i^2 = −1 to expand products and powers involving complex numbers.
• Verify polynomial identities by expanding both sides and simplifying to the same polynomial form.
• Factor and expand expressions with complex factors while keeping results in valid polynomial form.

Learning Objectives

• Apply interest calculation formulas to real-world scenarios.
• Interpret and evaluate data from financial documents and cases.
• Develop skills in budgeting, cost analysis, and financial decision-making.+ Show more

Learning Objectives

• Apply compound interest formulas to financial scenarios.
• Interpret the effects of interest rate changes over long-term savings.
• Calculate accumulated savings with compound interest approximations.+ Show more

Learning Objectives

• Solve one-variable equations and interpret the solution in context
• Solve and interpret one-variable inequalities, including checking boundary values
• Translate a real-world scenario into an equation or inequality in one variable+ Show more

Learning Objectives

• Understand the concept of vertical and horizontal asymptotes and their role in function behaviour.
• Apply algebraic and graphical techniques to identify asymptotes of rational and exponential functions.
• Analyze the relationship between limits and asymptotic behaviour to interpret function trends.+ Show more

Learning Objectives

• Understand how to plot functions and data points on coordinate axes.
• Interpret graphical features such as trends, intersections, and turning points.
• Apply graphical methods to analyze real-world data and models.+ Show more

Learning Objectives

• Develop skills to interpret and assess the reasonableness of mathematical solutions.
• Apply logical reasoning and calculation checks to verify solutions in real-world contexts.
• Evaluate different approaches to problem-solving for accuracy and consistency.+ Show more

Learning Objectives

• Understand the formula for calculating the volume of a prism as base area times height.
• Apply the volume formula to solve real-world problems involving storage and measurement.
• Interpret and analyze multi-step volume problems involving different base shapes.+ Show more

Learning Objectives

• Understand how ratios and proportions are used in real-world contexts.
• Apply proportions to solve problems involving recipes, scales, and rates.
• Set up and interpret ratios to compare quantities and calculate missing values.+ Show more

Learning Objectives

• Classify numbers as rational or irrational
• Use closure properties to predict whether an expression is rational or irrational
• Apply addition and multiplication rules involving rational and irrational numbers

Learning Objectives

• Understand the formula for calculating simple interest.
• Apply simple interest concepts to real-world financial scenarios.
• Interpret interest rates, principal amounts, and time periods in calculations.+ Show more

Learning Objectives

• Understand and apply advanced polynomial factorization methods such as synthetic division and the Rational Root Theorem.
• Solve polynomial equations by identifying zeros and their multiplicities.
• Analyze polynomial behavior and graph shapes based on factorization.+ Show more

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

• Understand how to interpret coefficients and terms in algebraic expressions representing linear relations.
• Develop skills in manipulating algebraic expressions to isolate variables and solve for unknowns.
• Apply algebraic models to practical scenarios such as calculating costs, distances, and rates.+ Show more

Learning Objectives

• Interpret and analyze data displays to draw valid conclusions.
• Calculate measures of central tendency and variability for data sets.
• Evaluate the reliability of data and the validity of conclusions drawn from analysis.+ Show more

Learning Objectives

• Understand the structure of polynomial expressions and identify individual terms.
• Apply rules for combining like terms and factorization to simplify polynomial expressions.
• Use polynomial expansion techniques to analyze the behavior of polynomial functions.+ Show more

Learning Objectives

• Interpret and calculate discounts and markups in real-world shopping scenarios.
• Analyze trade-offs between immediate costs and future benefits in financial decision-making.
• Apply percentage calculations to budgeting and personal finance problems.+ Show more

Learning Objectives

• Understand how to interpret data trends using scatter plots and fitted lines.
• Analyze measures of data spread and their relation to outliers or anomalies.
• Select appropriate visualizations to effectively communicate relationships in data.+ Show more

Learning Objectives

• Use circle similarity to relate radii, circumferences, arc lengths, and areas through scale factors.
• Apply constant ratios such as \(\frac{C}{r}=2\pi\) and \(\frac{A}{r^2}=\pi\) to solve problems.
• Determine how circumference and area change when the radius is multiplied by a scale factor.

Learning Objectives

• Apply properties of angles, shapes, and congruence to geometric problems.
• Use logical reasoning to justify geometric relationships and theorems.
• Solve multi-step geometric problems involving measurements and properties.+ 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

• 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 Bayes’ theorem to interpret test results (e.g., PPV and NPV)
• Calculate probabilities of positive/negative test outcomes using sensitivity, specificity, and prevalence
• Distinguish between P(D|+) and P(+|D) and explain why they differ

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 the slope and y-intercept from points on a line in a coordinate grid.
• Write a linear function equation y = mx + b from two points.
• Use linear models to make predictions from the graph (including slope meaning).+ Show more

Learning Objectives

• Use box plots to compare the center (median) and spread (IQR) of two groups.
• Use line plots to compare typical values and variability between groups by describing where most data cluster.
• Make informal comparative inferences about populations using sample summaries, including uncertainty and the effect of outliers.

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

• Solve quadratic equations in one variable by factoring or using algebraic methods
• Connect the zeros of a quadratic to the x-intercepts of its graph
• Use the discriminant to predict the number of real solutions and x-intersections

Learning Objectives

• Understand that converting a decimal to a percent means multiplying by 100
• Convert decimals (including decimals greater than 1) into percents
• Relate the size of a decimal to the size of its percent value