Grade 11 Maths Worksheets

Learning Objectives

• Understand basic probability concepts through simple experiments such as coin flips and dice rolls.
• Calculate theoretical and experimental probabilities of specific outcomes.
• Apply probability models to real-world scenarios involving chance and uncertainty.+ Show more

Learning Objectives

• Understand different methods for solving systems of linear equations, including graphing, substitution, and elimination.
• Apply algebraic techniques to find solutions of systems in real-world contexts such as budgeting or resource allocation.
• Analyze and interpret the conditions for systems with unique, infinite, or no solutions.

Learning Objectives

• Understand how to identify the hypotenuse and legs in a right triangle.
• Apply sine, cosine, and tangent ratios to find missing side lengths or angles.
• Interpret real-world problems involving right triangles and solve using trigonometry.+ Show more

Learning Objectives

• Understand how data patterns influence measures of variability.
• Calculate and interpret measures of spread such as range and standard deviation.
• Compare data sets with similar central tendencies but different variability to assess data stability.+ Show more

Learning Objectives

• Interpret and analyze data representations such as graphs and charts.
• Calculate statistical measures like averages, percentages, and growth rates.
• Apply data analysis skills to real-world scenarios involving business, finance, and daily decisions.+ Show more

Learning Objectives

• Apply exponential and logarithmic functions to real-world data scenarios.
• Interpret models to assess their accuracy and limitations in representing exponential growth or decay.
• Develop multi-step solutions and analyze data to make informed decisions using mathematical reasoning.+ Show more

Learning Objectives

• Understand and interpret proportional relationships in real-world problems.
• Apply indirect measurement techniques to estimate distances, heights, or lengths.
• Develop mathematical reasoning skills through multi-step problem-solving scenarios.+ Show more

Learning Objectives

• Apply the Law of Sines and Law of Cosines to solve for unknown sides and angles in oblique triangles.
• Analyze different cases, including ambiguous cases, to determine the appropriate solution method.
• Interpret real-world problems involving non-right triangles in navigation, engineering, and measurement contexts.+ 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 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 the properties of linear functions, including slope and intercepts.
• Apply algebraic and graphical methods to analyze linear relationships.
• Interpret linear functions in real-world contexts like distance-time graphs and budgeting.+ 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 unit conversions accurately to solve measurement problems.
• Use proportional reasoning in practical measurement scenarios.
• Evaluate and select appropriate measurement methods based on situation.+ Show more

Learning Objectives

• Explain how random sampling and sampling variability affect statistical conclusions.
• Distinguish between a population parameter and a sample statistic when making inferences.
• Interpret confidence intervals as estimates that reflect uncertainty, not exact values.+ Show more

Learning Objectives

• Use the addition rule to find probabilities of unions of events (including mutually exclusive and overlapping events).
• Use the multiplication rule, including conditional probability: P(A ∩ B) = P(A|B)P(B).
• Use complements to simplify probability calculations.+ Show more

Learning Objectives

• State what a rational exponent m/n means in terms of roots and powers
• Rewrite a^(m/n) using radical notation: (n√a)^m
• Evaluate expressions with rational exponents by taking the n-th root first (for a>0)+ Show more

Learning Objectives

• Understand algebraic methods for solving polynomial equations, including factoring and polynomial division.
• Apply graphing techniques to identify polynomial roots and analyze their effectiveness.
• Interpret solutions of polynomial equations within real-world contexts such as budgeting and measurement.+ Show more

Learning Objectives

• Understand and interpret average rates of change in various contexts.
• Calculate average rates from function graphs and tables.
• Relate average rates to slopes of segments on graphs.+ Show more

Learning Objectives

• Calculate and interpret interest, percentages, and financial gains or losses.
• Apply mathematical reasoning to evaluate different financial choices.
• Analyze real-world financial scenarios involving saving, borrowing, and investing.

Learning Objectives

• Interpret parameters of exponential models in real-world contexts.
• Apply mathematical reasoning to solve problems involving exponential growth and decay.
• Assess the accuracy of exponential models in predicting financial and scientific outcomes.+ Show more

Learning Objectives

• Calculate simple probabilities based on workplace scenarios.
• Interpret probability results to assess risks and make informed decisions.
• Apply probability concepts to practical situations such as machine failure and customer arrivals.+ 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 principles of perimeter, area, and volume in complex measurement problems.
• Utilize scale conversions accurately in architectural model design.
• Develop multi-step reasoning skills for real-world measurement applications.+ Show more

Learning Objectives

• Understand the structure of polynomial functions and identify their roots.
• Apply algebraic factorization to find roots and their multiplicities.
• Analyze how roots influence the graph of polynomial functions and interpret their real-world applications.+ Show more

Learning Objectives

• Calculate the area of various geometric shapes and understand their applications in real-world contexts.
• Determine the volume of different objects, including rectangular prisms and cylinders, for practical purposes.
• Compare measurement strategies such as unit conversions and approximation methods to improve accuracy.+ Show more

Learning Objectives

• Understand and interpret different scale ratios in technical drawings.
• Apply scale conversions to determine real-world object dimensions.
• Analyze how scale affects perception and measurement accuracy in plans.+ 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

• Use the unit circle to match an angle θ with its point (cosθ, sinθ).
• Evaluate sine and cosine for special angles using x- and y-coordinates.
• Apply quadrant sign rules to determine the signs of sinθ and cosθ.

Learning Objectives

• Understand how transformations affect the key features of functions, such as intercepts and slopes.
• Calculate the combined effects of multiple transformations on function graphs.
• Interpret and analyze the impact of shifts, stretches, and compressions in real-world contexts.+ Show more

Learning Objectives

• Understand the concept of instantaneous rate of change using derivatives.
• Calculate the slope of a tangent line at a specific point on a curve.
• Apply differentiation techniques to polynomial and exponential functions.+ Show more

Learning Objectives

• Understand the concept of compound interest and how it differs from simple interest.
• Calculate the future value of investments using compound interest formulas.
• Apply compound interest to real-world scenarios such as savings growth and loan repayments.+ Show more

Learning Objectives

• Understand how to interpret roots, multiplicities, and asymptotes from graphs of polynomial and rational functions.
• Apply algebraic and graphical reasoning to analyze the features of higher-degree and rational functions.
• Use graph analysis to solve real-world problems involving budgeting, measurements, and data interpretation.

Learning Objectives

• Understand the relationship between algebraic forms and their graphs.
• Apply transformations to quadratic functions and interpret their effects on the graph.
• Use graphical methods to model real-world quadratic scenarios.+ Show more

Learning Objectives

• Understand the key properties of various functions, including domain, range, intercepts, and monotonic intervals.
• Apply algebraic, graphical, and tabular techniques to analyze functions like exponential, logarithmic, and rational functions.
• Interpret the real-world significance of key function properties in practical scenarios such as budgeting, measurements, and data analysis.+ Show more

Learning Objectives

• Understand how to apply proportional reasoning to workplace-related problems.
• Calculate costs, quantities, and ratios in real-world trade scenarios.
• Interpret data and make decisions based on proportional relationships.+ Show more

Learning Objectives

• Understand the concept of complex roots in quadratic and polynomial functions.
• Apply formulas to find complex roots of quadratic equations.
• Analyze how complex roots influence the graph and behavior of polynomial functions.+ Show more

Learning Objectives

• Find the conjugate of a complex number and use it to rationalise denominators in division
• Simplify complex-number quotients into standard form a+bi by eliminating the imaginary part of the denominator
• Identify the real and imaginary parts of a quotient after conjugate multiplication

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

• Identify corresponding sides, angles, and vertices in congruent triangles
• Write triangle congruence statements in the correct vertex order
• Apply SSS, SAS, ASA, AAS, and HL theorems+ Show more

Learning Objectives

• Identify opposite, adjacent, and hypotenuse sides in right triangles
• Select the correct trigonometric ratio for a given angle
• Calculate missing side lengths using sine, cosine, or tangent+ Show more

Learning Objectives

• Understand the relationship between angle measures and trigonometric values on the unit circle.
• Apply geometric interpretations of sine, cosine, and tangent in various quadrants.
• Analyze symmetry properties and periodicity of trigonometric functions.+ Show more

Learning Objectives

• Use unit conversion factors written as ratios to cancel unwanted units
• Convert quantities that include derived units (e.g., speed, density, area, volume per time)
• Apply a multi-step conversion chain while keeping units consistent throughout

Learning Objectives

• Understand and interpret ratios in practical contexts such as medication dosages and recipes.
• Apply proportional reasoning to solve multi-step problems involving real-world data.
• Analyze and compare ratios and rates to make informed decisions in everyday situations.+ Show more

Learning Objectives

• Identify and interpret zeros of polynomial functions and their multiplicities.
• Apply algebraic techniques such as synthetic division and factorization to find roots.
• Analyze how roots influence the shape and behavior of polynomial graphs in real-world contexts.+ Show more

Learning Objectives

• Represent geometric objects using algebraic equations on the coordinate plane (lines, circles, and absolute value graphs).
• Justify coordinate geometry statements by reasoning algebraically about relationships, not by checking only a few cases.
• Use algebraic transformations (expanding, rearranging, substituting) to prove two conditions describe the same set of points.

Learning Objectives

• Understand how translations, reflections, stretches, and compressions affect the graphs of linear, quadratic, and exponential functions.
• Apply algebraic transformations to modify and interpret the equations of functions in real-world contexts.
• Analyze the effect of graphical transformations on key features such as intercepts, vertices, and symmetry.+ Show more

Learning Objectives

• Understand different methods for representing data visually, such as bar graphs, pie charts, and line graphs.
• Interpret and analyze various graphical data displays to recognize patterns, trends, and insights.
• Apply mathematical reasoning to construct and compare data visualizations accurately and effectively.+ Show more

Learning Objectives

• Understand how to convert between fractions, decimals, and percentages.
• Apply percentage calculations to real-world scenarios such as discounts and markups.
• Develop problem-solving skills involving multi-step percentage calculations.+ Show more