Grade 10 Maths Worksheets

Learning Objectives

• Understand different types of bank accounts and their features.
• Calculate interest and fees related to banking products.
• Interpret banking scenarios and make informed financial decisions.+ Show more

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

• Use the scale factor of a dilation to find image lengths and distances from the center of dilation
• Find coordinates of a point after a dilation using the scale factor
• Explain which geometric properties are preserved by dilations (angles and parallel lines) and which are scaled (lengths)

Learning Objectives

• Understand and apply the Law of Cosines to find missing sides or angles in non-right triangles.
• Solve multi-step problems involving oblique triangles using cosine law formulas.
• Interpret real-world contexts where non-right triangle calculations are essential, such as navigation and construction.+ Show more

Learning Objectives

• Solve polynomial equations that have no real solutions by using complex numbers
• Use the facts i² = −1 and complex arithmetic to find and verify complex solutions
• Interpret solutions as roots of factored forms of polynomials involving i

Learning Objectives

• Apply right-triangle ratios to solve measurement problems in real-world contexts.
• Use the sine law and cosine law to interpret and analyze complex measurement scenarios.
• Evaluate and justify the most appropriate trigonometric tools for solving practical problems.+ Show more

Learning Objectives

• Factor quadratics with no real roots into linear factors over the complex numbers using conjugate pairs
• Use completing the square to find complex roots and write the corresponding conjugate linear factors
• Expand and simplify products of conjugate linear factors to recover the original quadratic

Learning Objectives

• Understand and apply algebraic methods such as factorization and quadratic formula to solve quadratic relations.
• Learn to interpret and use graphical methods for analyzing quadratic functions in real-world contexts.
• Compare the practicality and accuracy of algebraic versus graphical methods for different problem scenarios.+ Show more

Learning Objectives

• Understand and interpret the slope and intercepts of a linear relation.
• Apply the algebraic form of a line to solve real-world problems.
• Analyze graphs of lines to identify their properties and equations.+ Show more

Learning Objectives

• Understand how to organize and interpret income and expense data for personal budgeting.
• Calculate and compare financial figures to assess budget balance and financial health.
• Apply percentage calculations and data analysis to real-world budgeting scenarios.+ Show more

Learning Objectives

• Apply mathematical operations to analyze income and expenses in personal budgets.
• Interpret percentages and ratios to evaluate financial decisions.
• Develop logical reasoning skills through multi-step budgeting calculations.+ Show more

Learning Objectives

• Understand how to graph linear equations and interpret their intersection points.
• Apply graphing methods to solve systems of equations in real-world contexts.
• Analyze the accuracy of graphical solutions compared to algebraic methods.+ Show more

Learning Objectives

• Understand and identify key features of quadratic graphs such as the vertex, axis of symmetry, and intercepts.
• Apply transformations to quadratic functions and analyze their effects on the graph.
• Interpret real-world scenarios to model and graph quadratic equations accurately.+ Show more

Learning Objectives

• Understand how variations in quadratic parameters alter the graph's shape and position.
• Calculate vertex, intercepts, and widths of quadratic graphs with different coefficients.
• Apply quadratic models to interpret real-world scenarios such as profit margins and structural design.+ Show more

Learning Objectives

• Understand the derivation and application of the quadratic formula to solve quadratic equations.
• Interpret solutions of quadratic equations in real-world contexts.
• Apply the quadratic formula to solve problems involving measurements, budgeting, and other practical scenarios.+ Show more

Learning Objectives

• Understand and apply different methods—factoring, completing the square, and quadratic formula—to solve quadratic equations in practical contexts.
• Develop problem-solving skills for interpreting quadratic relations within real-world scenarios such as budgeting or measurements.
• Select the most efficient method based on data availability and problem complexity in applied situations.+ Show more

Learning Objectives

• Interpret confidence levels as evidence from repeated sampling and avoid common misinterpretations.
• Use confidence intervals (and estimated margins of error) to justify conclusions about population parameters.
• Explain how sampling variability can produce different sample statistics while still being consistent with the same population.+ Show more

Learning Objectives

• Read dot plots, histograms, and box plots to identify key features such as shape, center, and spread
• Interpret one-to-one scales by connecting visual features (median, quartiles, bar heights) to quantitative meaning
• Distinguish typical values from extreme values (outliers) using graphical information and the 1.5×IQR rule

Learning Objectives

• Translate real situations into probability models using clear assumptions about the sample space and equally likely outcomes
• Use probability models to compute likelihoods, including complements
• Compare scenarios by using the probability model outcomes rather than intuition+ Show more

Learning Objectives

• Recognize and create equivalent polynomial forms by expanding and factoring.
• Simplify equivalent rational expressions while correctly identifying excluded values.
• Use alternative forms (like vertex/standard forms or graph features) to reveal key properties without changing the represented values.

Learning Objectives

• Represent constraints using inequalities and boundary lines
• Interpret how the inequality direction determines the shaded solution region
• Use inequality substitution to test whether points satisfy a constraint+ Show more

Learning Objectives

• Translate a situation with constraints into an equation in one variable
• Solve equations by using algebraic steps and by interpreting solutions
• Use absolute value graphs to solve absolute value equations

Learning Objectives

• Rearrange algebraic formulas to make a chosen variable the subject using equivalent transformations.
• Use the rearranged form to interpret how changing one quantity affects another.
• Check that two formula forms are equivalent by substituting values.

Learning Objectives

• Multiply rational expressions by factoring and cancelling common factors efficiently
• Simplify products of rational expressions into equivalent rational expressions
• Identify restrictions on variables from denominator factors that cannot be zero

Learning Objectives

• Write function rules from verbal descriptions that describe how one quantity depends on another.
• Use patterns in data (constant difference vs constant ratio) to decide on a function type and write the correct model.
• Interpret parameters such as starting value and growth factor when writing exponential (ratio-based) functions.

Learning Objectives

• Compute conditional probabilities using P(A|B) = P(A ∩ B) / P(B).
• Translate situations into conditional-probability calculations from counts and tables.
• Interpret what conditional probability means and how it differs from P(B|A).

Learning Objectives

• Rewrite expressions to reveal structure, such as common factors and repeated terms, without changing the value.
• Use exponent and absolute value structure to produce equivalent forms that are easier to simplify or interpret.
• Connect different representations (graph form, vertex form, piecewise form) by rewriting expressions carefully.

Learning Objectives

• Translate real situations into equations/inequalities using two variables.
• Interpret how changing one variable affects the other in a two-variable model.
• Graph linear inequalities in two variables by describing which side of the boundary line to shade.+ Show more

Learning Objectives

• Recognise when two figures are similar using corresponding angles and a constant scale factor.
• Calculate a corresponding length using multiplication (or division) with the scale factor from one figure to the similar figure.
• Interpret scale factor directions (from original to image, and image back to original) correctly.

Learning Objectives

• Understand how quadratic relations can model real-world situations.
• Formulate quadratic expressions from contextual problems.
• Apply vocabulary and concepts related to quadratic functions in practical scenarios.+ Show more

Learning Objectives

• Interpret key features of quadratic graphs, including vertex, axis of symmetry, and intercepts.
• Apply algebraic methods to identify features of parabolas from equations and graphs.
• Analyze real-world situations modeled by quadratic functions, focusing on graph features and parameters.+ Show more

Learning Objectives

• Understand the concepts of simple and compound interest.
• Apply formulas to calculate interest over different periods and rates.
• Interpret real-world scenarios involving savings, loans, and investment growth.+ Show more

Learning Objectives

• Understand how quadratic relations arise from real-world scenarios such as projectile motion and economic models.
• Identify key features of quadratic graphs and link these features to algebraic expressions.
• Interpret the practical significance of quadratic functions and their graphical representations.+ Show more

Learning Objectives

• Understand how to calculate interest on loans and investments.
• Interpret and analyze financial documents including fees and interest rates.
• Apply percentage calculations to real-world financial scenarios.+ Show more

Learning Objectives

• Calculate sine, cosine, and tangent of an acute angle in a right triangle using side ratios.
• Use the Pythagorean theorem to find missing sides before applying trigonometric ratios.
• Explain why trigonometric ratios depend only on the acute angle for similar right triangles.

Learning Objectives

• Apply trigonometric ratios to find missing sides and angles in right triangles.
• Use inverse trigonometric functions to determine angles from side lengths.
• Solve multi-step problems involving real-world contexts such as construction and mapping.+ 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

• 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

• 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

• 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 identify different forms of line equations including slope-intercept and point-slope forms.
• Apply the equations of lines to real-world context problems involving measurements and data.
• Analyze and interpret the relationships between algebraic equations and their geometric representations in the coordinate plane.+ Show more

Learning Objectives

• Understand how to compare quadratic models with real-world data to assess accuracy.
• Apply mathematical reasoning to interpret graph features like vertex, intercepts, and symmetry in model validation.
• Perform calculations to estimate and refine model outputs based on data.+ Show more

Learning Objectives

• Understand how to find the intersection point of two lines graphically and mathematically.
• Apply systems of equations to real-world problems involving shared resources or crossing points.
• Analyze and interpret the solutions of line systems within practical contexts.+ Show more

Learning Objectives

• Apply interest rate formulas to calculate loan and investment costs.
• Interpret data from financial models to compare options effectively.
• Solve multi-step problems involving budgets, repayment plans, and interest calculations.+ Show more

Learning Objectives

• Calculate the distance between two points using the distance formula.
• Interpret distance calculations in real-world contexts like navigation and resource placement.
• Understand and apply the midpoint formula to determine optimal locations.+ Show more

Learning Objectives

• Interpret and analyze lines and circles on coordinate graphs to understand their algebraic equations.
• Apply slope-intercept and standard forms of equations to real-world graph problems.
• Determine points of intersection, tangency, and relationships between geometric figures and their equations.+ Show more