Maths Worksheets

Learning Objectives

• Compare products with their original positive quantities.
• Identify when multiplication increases, decreases, or preserves a quantity.
• Explain how fractions less than 1 scale quantities down.+ Show more

Learning Objectives

• Understand the algebraic computation of the vector (cross) product in three dimensions.
• Interpret the geometric significance of the cross product as a vector orthogonal to the plane.
• Apply the cross product to solve real-world problems involving torque, forces, and area calculations.+ Show more

Learning Objectives

• Apply vector operations such as dot product and cross product to solve real-world physics and engineering problems.
• Interpret and model physical systems using vectors in multi-dimensional contexts.
• Perform multi-step calculations involving vector components, magnitudes, and angles with justified reasoning.+ Show more

Learning Objectives

• Calculate products of fractions in real-world contexts.
• Multiply mixed numbers to solve measurement problems.
• Interpret fraction multiplication as finding part of a quantity.+ Show more

Learning Objectives

• Understand how exponents model exponential growth and decay in real-world contexts.
• Apply the rules of exponents to solve practical problems involving scaling, population growth, and decay.
• Interpret and analyze exponential functions through calculations and reasoning.+ Show more

Learning Objectives

• Calculate quotients when dividing unit fractions by whole numbers.
• Interpret equal sharing using written descriptions of fraction models.
• Match unit fraction division equations to visual model descriptions.+ Show more

Learning Objectives

• Apply percentage calculations to real-world financial scenarios.
• Interpret and analyze income and expense data to set realistic financial goals.
• Develop multi-step problem-solving strategies for budgeting and saving.+ Show more

Learning Objectives

• Calculate and interpret the amount of interest accrued over different periods.
• Understand the impact of interest on total debt repayment.
• Evaluate different borrowing options based on interest rates and terms.+ Show more

Learning Objectives

• Identify the parameters a and b in an exponential function f(x)=a·b^x
• Construct an exponential model from initial value and growth/decay factor
• Use the model to make predictions by evaluating f(x) for given x

Learning Objectives

• Calculate quotients when dividing whole numbers by unit fractions.
• Interpret unit fraction division using equal groups and partitions.
• Identify fraction models that match division equations.+ Show more

Learning Objectives

• Identify equivalent fractions representing the same portion of a whole.
• Generate equivalent fractions using multiplication of numerators and denominators.
• Simplify fractions by dividing numerators and denominators by common factors.+ Show more

Learning Objectives

• Identify common denominators for fractions with different denominators.
• Generate equivalent fractions using a shared denominator.
• Calculate sums of fractions with unlike denominators accurately.+ Show more

Learning Objectives

• Calculate sums of mixed numbers with unlike denominators.
• Subtract mixed numbers using appropriate regrouping strategies.
• Find common denominators using equivalent fractions.+ Show more

Learning Objectives

• Identify benchmark fractions of zero, one-half, and one whole.
• Estimate fraction sums involving unlike denominators using benchmarks.
• Estimate fraction differences using fraction magnitude and number sense.+ Show more

Learning Objectives

• Generate equivalent fractions using a common denominator.
• Calculate differences between fractions with unlike denominators.
• Interpret fraction subtraction through number line movements.+ Show more

Learning Objectives

• Understand how the second derivative determines the concavity of a function.
• Identify inflection points where the curvature changes sign.
• Apply second derivative tests to analyze the shape of graphs in real-world scenarios.+ Show more

Learning Objectives

• Apply vector operations to calculate areas, distances, and angles in geometric figures.
• Model diagonals and sides of polygons using vectors to analyze spatial relationships.
• Utilize scalar and vector products to determine angles and areas in real-world contexts.+ Show more

Learning Objectives

• Understand the formal definition of limits and how they describe the behaviour of functions near specific points or infinity.
• Apply algebraic and graphical methods to evaluate limits and determine points of continuity.
• Analyze functions for continuity or discontinuity at given points, including cusps and jumps.+ 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

• Solve real-world addition problems involving fractions with like denominators.
• Subtract fractions with unlike denominators in measurement contexts.
• Construct equivalent fractions using a common denominator.+ Show more

Learning Objectives

• Calculate decimal differences accurately to the hundredths place.
• Apply place-value strategies when subtracting decimal numbers.
• Solve money word problems involving prices and change.+ Show more

Learning Objectives

• Calculate decimal sums accurately to the hundredths place.
• Represent decimal addition using hundredths grid models.
• Align decimal points using ones, tenths, and hundredths.+ Show more

Learning Objectives

• Calculate products involving decimal factors to hundredths accurately.
• Apply place value reasoning when multiplying tenths and hundredths.
• Use the distributive property to calculate decimal products.+ Show more

Learning Objectives

• Represent decimal multiplication using rectangular area models.
• Interpret overlapping regions on hundredths grids as decimal products.
• Calculate decimal products using place-value reasoning.+ Show more

Learning Objectives

• Represent decimal division using equal groups and place-value drawings.
• Interpret tenths and hundredths in decimal division models.
• Calculate decimal quotients using equal sharing and place-value reasoning.+ Show more

Learning Objectives

• Calculate decimal sums and differences accurately to hundredths.
• Multiply decimal quantities in real-world purchasing and measurement situations.
• Divide decimal amounts into equal shares or portions.+ Show more

Learning Objectives

• Calculate decimal quotients using whole-number divisors.
• Divide numbers to hundredths by decimal divisors.
• Apply place-value reasoning to decimal division calculations.+ Show more

Learning Objectives

• Calculate multi-digit whole-number products using the standard multiplication algorithm.
• Identify the place value of digits in multiplication factors.
• Calculate partial products when multiplying by ones and tens.+ Show more

Learning Objectives

• Round whole-number factors to the nearest ten or hundred.
• Calculate approximate products using rounded whole numbers.
• Select compatible numbers to simplify mental multiplication.+ Show more

Learning Objectives

• Calculate whole-number quotients using two-digit divisors.
• Apply place-value strategies to divide four-digit whole numbers.
• Use partial quotients to solve multi-digit division problems.+ Show more

Learning Objectives

• Evaluate numerical expressions containing parentheses using whole-number operations.
• Calculate expressions with nested parentheses, brackets, and braces.
• Apply the correct order of operations within grouped expressions.+ Show more

Learning Objectives

• Calculate whole-number quotients and remainders in division word problems.
• Identify leftover quantities after dividing objects into equal groups.
• Determine when a division remainder should be ignored.+ 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

• Understand and identify the symmetry properties of functions, including even and odd functions.
• Analyze the end behavior of rational and exponential functions using algebraic and graphical methods.
• Apply concepts of symmetry and end behavior to interpret function limits, asymptotes, and long-term trends.+ Show more

Learning Objectives

• Interpret the meaning of a logarithm as an exponent required to reach a target output.
• Use parameters (shifts and base) in logarithmic models to solve for unknown inputs.
• Relate changes in the base to changes in sensitivity (how quickly the output increases).

Learning Objectives

• Understand how to interpret linear relations represented in tabular form.
• Calculate the rate of change (slope) from data in tables.
• Identify the x-intercept and y-intercept from data tables.+ Show more

Learning Objectives

• Understand the concept of amortization and its application in loan repayment.
• Calculate periodic loan payments using amortization formulas.
• Interpret amortization schedules to analyze principal and interest payments over time.+ Show more

Learning Objectives

• Understand and apply the sine law to find missing side lengths and angles in non-right triangles.
• Use the cosine law to calculate unknown sides or angles in oblique triangles.
• Solve real-world problems involving triangulation, navigation, and measurement using sine and cosine laws.+ Show more

Learning Objectives

• Understand how interest rates influence savings growth and loan costs.
• Apply percentage calculations to real-world financial scenarios.
• Interpret scenarios involving different interest rates and determine outcomes.+ Show more

Learning Objectives

• Understand basic concepts of probability and likelihood in real-world contexts.
• Calculate probabilities as fractions, decimals, or percentages.
• Interpret probability values to evaluate risks and make decisions.+ Show more

Learning Objectives

• Understand and identify the slope and y-intercept of a linear function from graphs, tables, and equations.
• Apply linear functions to solve real-world problems involving distance, finance, and measurement.
• Interpret the rate of change and initial value in different contextual scenarios.+ Show more

Learning Objectives

• Understand how interest rates influence the total cost of borrowing and savings growth.
• Calculate and compare interest accrued under different rates and time periods.
• Apply percentage and interest formulas to real-world financial scenarios.+ Show more

Learning Objectives

• Apply basic mathematical concepts to personal financial scenarios.
• Calculate interest, repayment amounts, and savings growth using formulas.
• Interpret data from financial data and compare different budgeting options.+ Show more

Learning Objectives

• Apply geometric formulas to calculate area, volume, and surface area in various contexts.
• Select and justify appropriate formulas for different problem scenarios.
• Assess the accuracy of results through unit analysis and reasonableness checks.+ Show more

Learning Objectives

• Understand the basic tools and techniques used in geometric constructions.
• Apply compass and straightedge methods to construct angles, bisectors, and polygons.
• Interpret and verify geometric properties through construction and reasoning.+ Show more

Learning Objectives

• Recognize and describe numeric and algebraic patterns using tables, symbols, and graphs.
• Apply rules governing sequences to solve real-world problems involving patterns.
• Interpret patterns in practical contexts such as shopping, measurements, and data analysis.+ Show more

Learning Objectives

• Compare exponential and linear models by evaluating them at multiple input values
• Identify how multiplicative (exponential) growth differs from additive (linear) growth
• Find and interpret the crossover point where an exponential model overtakes a linear model+ Show more

Learning Objectives

• Interpret the parameters a and b in an exponential model y=a·b^x
• Determine whether an exponential function represents growth or decay from the value of b
• Use a and b to predict values of a function at different time steps