Grade 6 Maths Worksheets

Learning Objectives

• Identify the rule in a numeric pattern from a table, number line, or inequality graph
• Describe how sequences change using consistent operations (add, subtract, multiply, divide)
• Translate pattern statements between different representations (graphs, inequalities, expressions)+ 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

• 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

• 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

• 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

• 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 identify algebraic and numeric patterns.
• Generate and extend pattern sequences using rules.
• Apply pattern analysis to solve real-world problems.+ Show more

Learning Objectives

• Identify different types of currency and their values.
• Apply basic mathematical operations to solve problems involving money.
• Interpret and analyze real-world scenarios related to spending, saving, and budgeting.+ Show more

Learning Objectives

• Evaluate how accurate a mathematical model’s predictions are by comparing them with observed data.
• Identify limitations of models by noticing patterns that the model cannot represent (for example, non-linear trends).
• Solve equations and inequalities that appear in model predictions, and interpret the meaning of the solution set.

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

• Explain that absolute value gives the distance from 0, so it is always nonnegative
• Use the number line to compute absolute values from points to 0
• Interpret real-life situations (like elevation or temperature) using absolute value as distance+ Show more

Learning Objectives

• Distinguish between short-term and long-term savings and explain how regular saving supports financial stability.
• Solve and interpret saving problems using addition, multiplication, and money goal constraints.
• Read information from bar graphs and line plots to answer questions about saving goals.

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 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

• Translate ratio language (a:b form and words like “for every” and “per”) into consistent comparisons of two quantities
• Identify which two quantities are being compared in a ratio statement
• Use ratio language to match equivalent representations of the same ratio

Learning Objectives

• Interpret linear relationships using tables, graphs, and equations
• Identify the constant rate of change and link it to the slope of a graph
• Use an equation to model a real-world situation and make predictions

Learning Objectives

• Recognise how open and closed endpoints show strict and non-strict inequalities on a number line.
• Read a solution set from an inequality number line and write the matching inequality.
• Represent the solution set of an inequality using interval notation.

Learning Objectives

• Understand how to apply step-by-step algorithms to solve algebraic problems.
• Develop logical reasoning skills to interpret and evaluate solution sequences.
• Practice translating real-world problems into mathematical procedures.+ Show more

Learning Objectives

• Understand different techniques of data collection such as surveys, observations, and experiments.
• Apply mathematical reasoning to analyze data collection scenarios and interpret results accurately.
• Evaluate the impact of method choices on data reliability and bias in real-world contexts.+ Show more

Learning Objectives

• Identify and interpret the median, quartiles (Q1 and Q3), and whiskers on a box plot
• Calculate the interquartile range (IQR) from Q1 and Q3
• Use box plot features to describe the spread (IQR and overall range) of a data set

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

• Convert rational numbers between fractions, decimals, and percents.
• Use converted forms to decide which of two numbers is greater or less.
• Order numbers by interpreting their positions on a number line after converting.+ Show more

Learning Objectives

• Check whether a proposed value makes an equation true by substituting it and comparing both sides
• Solve an equation step-by-step while keeping equality balanced using inverse operations
• Explain why equivalent transformations keep an equation true

Learning Objectives

• Use substitution to evaluate expressions when a variable is given a value
• Apply the order of operations correctly, including with fractions and negative numbers
• Interpret the evaluated value as a quantity from a real-life context

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

• Create and use expressions for simple budgets involving income and expenses
• Solve one-step equations connected to saving and spending plans
• Compare saving and spending outcomes using percentages and fractions

Learning Objectives

• Translate a real-world situation into a one-variable equation using a clear variable definition
• Solve linear one-variable equations using inverse operations
• Interpret the solution by checking that it fits the original situation

Learning Objectives

• Identify and classify polygons based on the number of sides and angles.
• Apply geometric properties to determine the type of polygon in real-world contexts.
• Calculate missing side lengths or angles in polygons to assist classification.+ 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

• 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 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

• 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

• Identify the five parts of a box-and-whisker plot
• Calculate five-number summaries from ordered data sets
• Construct accurate box plots on scaled number lines+ Show more

Learning Objectives

• Use the formula for the area of a triangle, A = (1/2) · b · h, where h is the perpendicular height to the base b.
• Read base and perpendicular height values from a triangle diagram and compute the triangle’s area.
• Find a missing base or height using the triangle area formula by setting up and solving an equation.+ Show more

Learning Objectives

• Read ratio relationships from tape (strip) diagrams by using the part counts as equal ratio groups.
• Scale a diagram to find equivalent ratios and missing quantities while keeping the same comparison units.
• Use diagram reasoning to determine missing values in totals and part-to-part comparisons.

Learning Objectives

• Understand that equivalent ratios represent the same relationship by multiplying or dividing both terms by the same nonzero number
• Use tape diagrams and ratio tables to find missing values in equivalent ratio situations
• Decide whether two ratio statements are equivalent by comparing their scaled quantities

Learning Objectives

• Solve multi-step rate problems using equations that model a fixed fee plus a unit rate times a quantity.
• Use ratio reasoning to scale quantities while keeping the same rate relationship.
• Interpret results in context and check that answers make sense with units and the story of the problem.

Learning Objectives

• Use inverse operations to follow and justify step-by-step equation-solving algorithms
• Check whether a proposed output from an algorithm is correct by substituting back into the original rule
• Translate simple algorithm descriptions into algebraic expressions and compute results+ Show more

Learning Objectives

• Translate real-world rate statements into numerical ratios and simple equations.
• Use unit rates to predict outcomes for new quantities in a situation.
• Check that a rate statement matches the quantities given and interpret what is changing over time or quantity.

Learning Objectives

• Use a ratio table to describe the same relationship using an equation.
• Solve simple linear equations that come from scaling in a ratio table.
• Interpret the solved value in the context of the table.+ Show more

Learning Objectives

• Use values from a table to find a unit rate (the amount for 1 unit).
• Fill in missing table entries using a constant rate or consistent conversion.
• Interpret table rows as equivalent rate comparisons and explain the method.

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

• Explain what unit rate means as a ratio with a denominator of 1
• Compute unit rate by dividing the two quantities and keeping track of units
• Use unit rate to find costs/distances for other amounts and to compare rates

Learning Objectives

• Expand algebraic expressions using the distributive property
• Simplify expressions by combining like terms
• Factor expressions into equivalent forms when appropriate+ Show more

Learning Objectives

• Identify the rule that generates terms in a numeric pattern
• Use algebraic expressions to describe linear and geometric pattern rules
• Translate between a pattern rule and a condition using inequalities+ Show more

Learning Objectives

• Identify when a question is statistical and explain how collected data is used to answer it.
• Use line plots to read frequencies and summarize data using features like mode, total frequency, and range.
• Use box plots to interpret median, quartiles (Q1 and Q3), and the interquartile range (IQR) to describe spread.+ Show more

Learning Objectives

• Use the distributive property to rewrite equivalent expressions with multiplication over addition and subtraction
• Simplify equivalent expressions by distributing and combining like terms
• Determine whether two expressions are equivalent by comparing distributive rewrites

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