Grade 6 Maths Worksheets

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

• Understand how to collect, organize, and display data effectively.
• Interpret data displays and use measures of central tendency to analyze information.
• Apply data analysis skills to real-world scenarios involving measurement, budgeting, and percentages.+ 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 how to use estimation to check the reasonableness of calculations.
• Apply rounding techniques to simplify complex math problems.
• Develop reasoning skills to compare estimated and exact results.+ 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 how to interpret the slope and intercepts of a linear function.
• Apply algebraic models to graph linear functions in real-world contexts.
• Analyze and describe the behavior of linear graphs based on their equations.+ Show more

Learning Objectives

• Apply geometric concepts to analyze the relationships between shapes and figures.
• Calculate coordinate positions and interpret spatial arrangements.
• Identify similarity, congruence, and symmetry in real-world contexts.+ Show more

Learning Objectives

• Understand methods for representing algebraic expressions and equations.
• Interpret and write expressions involving operations like addition, subtraction, multiplication, and division.
• Evaluate the equivalence of different expressions using properties of operations.+ Show more

Learning Objectives

• Apply mathematical models, including equations and graphs, to interpret real-world scenarios.
• Use calculations to predict outcomes in contexts like shopping, budgeting, and data interpretation.
• Evaluate the accuracy and limitations of mathematical models in practical situations.+ Show more

Learning Objectives

• Develop skills to assess the reasonableness of financial decisions using estimation and comparison.
• Apply mathematical calculations to real-world financial scenarios.
• Enhance logical reasoning and problem-solving skills in financial contexts.+ Show more

Learning Objectives

• Understand how to convert between decimals and fractions.
• Compare and order decimals and fractions in real-world contexts.
• Interpret visual models to determine equivalence of decimals and fractions.+ Show more

Learning Objectives

• Understand how to organize data into tables and charts for clearer interpretation.
• Apply basic calculations to interpret data displays and draw conclusions.
• Develop problem-solving skills related to data organization in real-world contexts.+ Show more

Learning Objectives

• Understand how to determine the value of products in relation to their costs.
• Apply percentage discounts and savings to real-world shopping scenarios.
• Evaluate different options to identify the best value for money.+ Show more

Learning Objectives

• Understand and apply different problem-solving strategies to multi-step math problems.
• Monitor and evaluate progress during calculations to improve accuracy and confidence.
• Develop perseverance and self-regulation in solving complex mathematical tasks.+ Show more

Learning Objectives

• Find the mean, median, and mode of a numerical data set shown in a line plot.
• Use median and interquartile range (IQR) to describe the typical value and spread of data from a box plot.
• Choose which measure of center (mean or median) best represents typical values when data are skewed or include outliers.+ Show more

Learning Objectives

• Apply basic mathematical calculations to real-world resource distribution scenarios.
• Interpret data and make logical decisions based on quantitative information.
• Develop problem-solving skills related to budgeting, measurement, and percentages.+ Show more

Learning Objectives

• Explain how compound interest depends on both the interest rate and the length of time
• Use percentage models to find interest (a percent of a balance) and the new balance
• Solve simple linear equations that arise when working backward to find a missing savings amount+ Show more

Learning Objectives

• Understand how to evaluate costs and benefits of financial choices.
• Apply mathematical calculations to compare different spending options.
• Interpret data and analyze trade-offs in budgeting decisions.+ Show more

Learning Objectives

• Understand how to represent algebraic expressions using properties of operations.
• Apply combining like terms and factoring techniques to simplify expressions.
• Evaluate the equivalence of different algebraic forms through calculations and reasoning.+ Show more

Learning Objectives

• Understand how constructive feedback helps refine problem-solving strategies.
• Analyze errors in mathematical reasoning to improve solutions.
• Reflect on representations and procedures to deepen understanding.+ Show more

Learning Objectives

• Write and interpret algebraic expressions using numbers, variables, and operation symbols.
• Use parentheses and order of operations to determine what an expression means.
• Evaluate expressions by substituting values for variables.

Learning Objectives

• Identify variability in a data set by describing how spread out the values are (range and IQR).
• Read box plots to find quartiles and interpret the IQR as a measure of variability.
• Use line plots to describe variability by finding the mode, range, clusters, and gaps.+ Show more

Learning Objectives

• Understand and apply different division algorithms for multi-digit numbers and decimals.
• Develop reasoning skills about remainders and use place value to solve division problems.
• Evaluate the accuracy and appropriateness of various division methods in real-world contexts.+ Show more

Learning Objectives

• Compare two numerical distributions using measures of center and spread (especially median and interquartile range).
• Use box plots to read quartiles (Q1, median, Q3), compute the IQR, and interpret variability.
• Describe how distributions differ by being shifted left or right and by having greater or smaller spread.

Learning Objectives

• Develop strategies for effective mathematical communication and collaboration.
• Apply mathematical reasoning to solve real-world problems involving calculations and interpretation.
• Analyze peer explanations and representations to deepen understanding.+ Show more

Learning Objectives

• Develop criteria for evaluating the reasonableness of solutions in mathematical problems.
• Use estimation, magnitude analysis, and contextual understanding to check answers.
• Apply reasoning skills to multi-step problems involving real-world scenarios.+ Show more

Learning Objectives

• Understand the different classifications of triangles based on sides and angles.
• Apply properties of triangles to solve real-world problems involving measurements and angles.
• Develop logical reasoning skills to justify triangle classifications.+ Show more

Learning Objectives

• Identify and describe the sides, angles, faces, and other properties of various 2D and 3D shapes.
• Apply geometric reasoning to classify shapes such as triangles, polygons, and polyhedra.
• Use properties like congruence and symmetry to analyze and compare different figures.+ Show more

Learning Objectives

• Understand how to create and interpret graphs modeling linear relationships.
• Apply graphical representations to solve real-world problems involving rates and costs.
• Analyze the accuracy and limitations of different types of graphs in predicting data.+ Show more

Learning Objectives

• Understand the purpose and components of a budget, including income, expenses, and savings.
• Apply mathematical calculations to create and analyze simple budgets.
• Interpret real-world financial scenarios involving percentages, addition, subtraction, and comparison.+ Show more

Learning Objectives

• Understand different strategies for calculating the perimeter and area of irregular shapes and composite figures.
• Apply formulas and reasoning to determine measurements in practical scenarios.
• Decompose complex shapes into simpler parts for easier calculation and verification.+ Show more

Learning Objectives

• Interpret the coefficient in an expression written with a variable as the change per 1 unit of the variable.
• Interpret the constant term in an expression as the fixed amount that does not change.
• Use the coefficient and constant term to compute values of expressions and describe how outputs change.

Learning Objectives

• Solve one-step equations using inverse operations accurately.
• Solve two-step equations by applying inverse operations in the correct order.
• Identify and correct common equation-solving mistakes.+ Show more

Learning Objectives

• Understand and calculate theoretical probabilities using fractions and percentages.
• Apply probability concepts to real-world scenarios and interpret experimental results.
• Develop mathematical reasoning through multi-step probability problems.+ Show more

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

Learning Objectives

• Identify and describe numeric patterns using a rule (addition, multiplication, or algebraic expression).
• Generate terms of a pattern and extend it to find the next term.
• Solve simple equations that come from pattern rules to find the pattern position or missing values.+ Show more

Learning Objectives

• Understand and apply formulas for calculating the perimeter of rectangles, triangles, and irregular shapes.
• Calculate and interpret the area of various plane figures in real-world scenarios.
• Solve multi-step problems involving perimeter and area, combining reasoning and calculation skills.+ Show more

Learning Objectives

• Understand how to add, subtract, multiply, and divide fractions and decimals.
• Apply strategies such as common denominators and cross-multiplication to simplify calculations.
• Estimate results to assess reasonableness and validate solutions in real-world contexts.+ Show more

Learning Objectives

• Identify and describe the rules behind numeric and algebraic patterns.
• Solve pattern-related problems involving calculations and interpretations.
• Apply understanding of sequences and functions to real-world contexts.+ Show more

Learning Objectives

• Apply basic arithmetic operations to solve budgeting problems.
• Interpret percentages and ratios in real-life financial contexts.
• Analyze resource allocation decisions and their outcomes.+ Show more

Learning Objectives

• Interpret discounts, sales, and per-unit prices to compare value between options.
• Calculate savings and sale prices using proportional reasoning.
• Use ratios and tables to decide which purchase is the better buy.

Learning Objectives

• Calculate unit rates (price per 1 item or 1 kilogram) to compare value.
• Use proportional reasoning to complete tables and solve price equations.
• Evaluate which option is more affordable by comparing costs using the same quantity.

Learning Objectives

• Translate word constraints (at most, at least, less than, greater than) into inequalities.
• Interpret a graph or number line to determine which values satisfy an inequality, including whether the boundary value is included.
• Write solution sets using interval notation for inequalities.

Learning Objectives

• Translate word phrases into algebraic expressions using symbols and variables
• Simplify expressions by expanding brackets using the distributive property
• Recognize when two expressions or equations are equivalent

Learning Objectives

• Use inverse operations in a step-by-step algorithm to solve linear equations.
• Write algebraic expressions for outputs from given algorithm rules, including sequences.
• Check whether a proposed value is a solution by substituting into an equation.+ Show more

Learning Objectives

• Convert fractions to terminating decimals and relate them to equivalent decimals on a number line.
• Convert between fractions, decimals, and percents for the same rational value.
• Recognise when a fraction will have a terminating decimal and connect repeating decimals to fraction form.

Learning Objectives

• Understand various methods for constructing and representing geometric figures.
• Apply tools and techniques to accurately draw and interpret figures in different contexts.
• Develop reasoning skills to justify construction choices and analyze geometric relationships.+ Show more

Learning Objectives

• Understand how to interpret various data display features such as shape, spread, and central tendency.
• Apply data analysis skills to real-world scenarios involving calculations and comparisons.
• Evaluate the appropriateness of different data representations for given data sets.+ Show more