Grade 6 Maths Worksheets

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 equations to model and solve real-world situations
• Interpret and read information from coordinate grids and line plots
• Use models to make predictions, and evaluate when a model might be limited

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 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

• 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

• 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

• Identify the slope and y-intercept from points on a line in a coordinate grid.
• Write a linear function equation y = mx + b from two points.
• Use linear models to make predictions from the graph (including slope meaning).+ Show more

Learning Objectives

• Create and interpret graphs that model real-world situations using ordered pairs and linear patterns.
• Use graphs to find key features such as the rate of change (slope) and starting value (y-intercept).
• Solve linear equations and relate the algebraic solution back to a model.+ Show more

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

• 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 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

• 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

• 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

• 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

• Use ratio reasoning (tape diagrams) to split limited resources fairly.
• Use unit value to convert between ratios and actual amounts of money/time.
• Write and interpret inequalities that represent resource limits (at most/at least).+ 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

• Use estimation to judge whether a financial decision is reasonable
• Compare options using calculations and reasonableness checks
• Use inequalities to decide if spending fits within a budget+ 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• Find the volume of a right rectangular prism by multiplying the three perpendicular edge lengths
• Express prism volume as a product when edge lengths are fractional
• Use scaling to reason how changing one edge length affects the volume

Learning Objectives

• Calculate the surface area of a right rectangular prism by adding the areas of matching face pairs.
• Use the formula SA = 2(lw + lh + wh) for edge lengths l, w, and h.
• Apply the same multiplication structure when one or more side lengths are fractional.

Learning Objectives

• Use a net of a 3D shape to find total surface area by adding face areas
• Compute areas of rectangles from the side lengths shown in a net
• Use triangle base and height to find the area of triangular faces in a net+ Show more

Learning Objectives

• Find the coordinate distance between two points that are horizontally or vertically aligned on a coordinate plane.
• Use the absolute difference of the changing coordinate values to calculate distance.
• Read point coordinates from a grid and apply the coordinate distance rule correctly.

Learning Objectives

• Use coordinate differences to find the base and perpendicular height of a triangle on a coordinate plane
• Compute the area of a triangle using A = 1/2 × base × height
• Explain why horizontal and vertical coordinate changes give the measurements for base and height

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

• Solve one-step equations by using inverse operations to isolate the variable.
• Preserve equality by doing the same operation to both sides of an equation.
• Find solutions that may be rational numbers when equations involve fractions or decimals.+ 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

• 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

• 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

• 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

• Use commutative and associative properties to rewrite expressions as equivalent expressions.
• Use identity properties (0 and 1) and inverse operations to replace parts of an expression without changing its value.
• Check that two expressions are equivalent by showing the operation changes preserve the overall value.

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

• 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

• 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

• 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

• 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

• Read a line plot to find key features such as the mode, range, and gaps.
• Describe the overall shape of a line plot by looking for clustering and spread.
• Use frequency information from stacked marks to support conclusions about where values concentrate and how values vary.

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

• Combine like terms to simplify algebraic expressions
• Use the distributive property to simplify expressions
• Factor out a common factor to rewrite expressions in simpler equivalent forms+ Show more