Grade 9 Maths Worksheets

Learning Objectives

• Construct linear models from real-world data and scenarios.
• Translate contextual information into algebraic expressions and graphs.
• Interpret the meaning of solutions within practical contexts.+ Show more

Learning Objectives

• Understand the principles of simple interest and how savings grow over time.
• Apply interest calculation formulas to real-world saving scenarios.
• Interpret data related to savings and interest to make financial decisions.+ Show more

Learning Objectives

• Understand how to calculate and interpret unit prices in shopping scenarios.
• Apply arithmetic operations to compare costs of different products or services.
• Develop skills to analyze and interpret real-world cost data for informed decision-making.+ Show more

Learning Objectives

• Understand how to represent real-world situations using algebraic and graphical models.
• Compare the effectiveness of different modeling methods in context-based problems.
• Justify appropriate modeling choices based on accuracy, clarity, and relevance.+ Show more

Learning Objectives

• Clear denominators in rational equations to form equivalent polynomial (often quadratic) equations
• Identify excluded values (values that make denominators zero) when solving rational equations
• Solve the resulting quadratic and check candidate solutions against excluded values

Learning Objectives

• Identify what coefficients, factors, and exponents represent in an algebraic expression.
• Interpret how changing parts of an expression changes the quantity described in a context.
• Translate between worded descriptions and algebraic expressions using correct structure.+ Show more

Learning Objectives

• Evaluate function notation such as f(x) by substituting an input value and simplifying to find the output.
• Interpret statements like f(a) = b to describe what output b corresponds to for the input a in context.
• Connect the input (the value inside f( )) and the output (the value of f( )) correctly when reading and writing function values.

Learning Objectives

• Understand the different forms of numerical representations: fractions, decimals, and percents.
• Convert between fractions, decimals, and percents accurately in practical contexts.
• Evaluate the effectiveness of each representation in data interpretation and decision-making.+ Show more

Learning Objectives

• Interpret income sources and expenses to make informed financial decisions.
• Apply percentages and calculations to project future savings or expenditures.
• Analyze how different choices influence personal financial stability.+ 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

• 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

• 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 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 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

• 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

• 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

• 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

• 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

• 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

• 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 how to construct and interpret mathematical models and visual representations.
• Apply mathematical reasoning to analyze real-world problems involving growth, measurements, and data.
• Evaluate the effectiveness of different models and representations in solving complex problems.+ Show more

Learning Objectives

• Rewrite quadratic equations and expressions in completing-square (vertex) form
• Solve quadratic equations by transforming them into a perfect-square equation
• Use square roots to find all real solutions after completing the square

Learning Objectives

• Understand and calculate measures of variability such as range, interquartile range, and standard deviation.
• Interpret the extent of data variation and its implications for data reliability.
• Apply concepts of variability to real-world data sets for better analysis and decision-making.+ Show more

Learning Objectives

• Describe what it means for a relationship to be a function (each input maps to exactly one output).
• Use a context to write an explicit function rule that models the relationship between two quantities.
• Evaluate a function and solve for inputs using an equation based on the function rule.+ Show more

Learning Objectives

• Interpret and compare data distributions using box plots and histograms.
• Calculate measures of center and spread to assess data variation.
• Analyze shape and outliers in data distributions using graphical and numerical methods.+ Show more

Learning Objectives

• Understand how to create graphs from linear equations and tables.
• Interpret the slope and intercepts of a linear graph in real-world contexts.
• Apply algebraic and graphical methods to solve problems involving linear relations.+ Show more

Learning Objectives

• Read a box plot to identify the five-number summary: minimum, Q1, median, Q3, and maximum.
• Calculate and interpret the interquartile range (IQR) from Q1 and Q3, including what it says about the middle 50% of the data.
• Use the 1.5 × IQR rule to identify outliers on a box plot.+ Show more

Learning Objectives

• Analyze and compare different solution strategies for algebraic, geometric, and data-driven problems.
• Apply estimation techniques to assess the reasonableness and accuracy of solutions.
• Develop mathematical reasoning and justification practices when solving problems.+ Show more

Learning Objectives

• Understand and identify different types of geometric transformations including translation, rotation, reflection, and dilation.
• Apply transformation rules to coordinate points and shapes to determine their new position, size, or orientation.
• Analyze properties of shapes under various transformations to recognize symmetry and congruence.+ Show more

Learning Objectives

• Use function composition (f∘g)(x)=f(g(x)) to build a new function
• Evaluate composed functions for given inputs while respecting domain constraints
• Solve equations involving composed functions

Learning Objectives

• Understand how to compare prices and evaluate value for money in real-world scenarios.
• Apply unit price calculations to determine the most economical product option.
• Develop critical thinking skills in analyzing consumer choices based on cost per unit.+ Show more

Learning Objectives

• Read a dot plot (line plot with stacked markers) to determine frequencies for specific values.
• Interpret histogram-style information by using bin boundaries to count how many observations fall in each interval.
• Use bin width correctly when comparing how often values occur (clusters vs gaps).

Learning Objectives

• Use the Remainder Theorem to find the remainder when dividing a polynomial by (x − a)
• Evaluate p(a) quickly by substitution, without performing long division
• Use remainders to solve for unknown parameters inside a polynomial

Learning Objectives

• Develop strategies for performing calculations efficiently with integers, fractions, decimals, and percentages.
• Apply mental math and pattern recognition techniques to solve mathematical problems quickly.
• Use technological tools appropriately to interpret numerical outputs in real-world contexts.+ Show more

Learning Objectives

• Identify the input and output variables from a table of reliable data pairs.
• Construct an explicit functional rule that matches the pattern in a table.
• Use the rule to predict output values for new inputs.

Learning Objectives

• Understand how to calculate simple interest using the interest formula.
• Apply interest calculations to real-life financial scenarios involving savings and loans.
• Interpret the effects of principal, rate, and time on the total interest earned or paid.+ Show more

Learning Objectives

• Factorise quadratics into the form (x − r)(x − s)
• Use the zero-product property to find solutions of (x − r)(x − s) = 0
• Interpret the number and location of solutions from the factors

Learning Objectives

• Interpret what a factor does to the value of an expression (multiplying a whole quantity).
• Use coefficients to explain how scaling changes an output.
• Interpret exponents as repeated multiplication and apply this meaning in expressions.+ Show more

Learning Objectives

• Calculate the mean, median, and mode of various data sets.
• Compare and interpret measures of central tendency in real-world contexts.
• Apply measures of central tendency to analyze data from surveys, test scores, and measurements.+ Show more

Learning Objectives

• Understand and apply algebraic methods to solve linear equations.
• Interpret solutions of equations within real-world contexts such as budgeting and measurements.
• Develop problem-solving skills through multi-step reasoning and application.+ 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

• 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

• 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 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

• Reinforce understanding of key geometric concepts, properties, and measurement strategies.
• Apply geometric reasoning and calculations to solve real-world problems.
• Analyze shape properties, transformations, and similarity in practical contexts.+ Show more