Grade 8 Maths Worksheets

Learning Objectives

• Develop mathematical reasoning and problem-solving skills related to perseverance.
• Apply self-regulation strategies to overcome challenging tasks.
• Interpret real-world scenarios using calculations involving percentages, measurements, and data.+ Show more

Learning Objectives

• Apply basic arithmetic operations to real-world budgeting scenarios.
• Interpret financial data to make informed decisions about expenses and savings.
• Calculate percentages and ratios relevant to budgeting and personal finance.+ Show more

Learning Objectives

• Understand how to calculate simple interest on savings over different periods and interest rates.
• Apply proportional reasoning to compare interest earned in various scenarios.
• Analyze the impact of interest rates and time on the growth of savings.+ Show more

Learning Objectives

• Understand different data representations and their appropriate applications.
• Calculate and interpret measures of data summary, such as averages and ranges.
• Evaluate the strengths and limitations of various data visualization methods.+ Show more

Learning Objectives

• Develop skills to perform multi-step calculations involving rational numbers accurately.
• Apply understanding of order of operations to solve real-world problems.
• Interpret and validate solutions by estimating and reasoning about outcomes.+ Show more

Learning Objectives

• Develop the ability to interpret financial scenarios involving earning, spending, and saving.
• Apply mathematical calculations to real-world budgeting and expense management situations.
• Understand how income and expenses influence overall financial planning.+ Show more

Learning Objectives

• Develop effective strategies for articulating mathematical reasoning clearly and coherently.
• Interpret and represent mathematical ideas using different formats and language options.
• Justify and explain mathematical solutions systematically to support understanding.+ Show more

Learning Objectives

• Link proportional situations across ratio tables, equations, and contextual descriptions by keeping the same multiplier.
• Use a constant of proportionality to complete missing values in a ratio table.
• Translate between an equation (y = kx) and the scaling described in other representations.

Learning Objectives

• Understand the basic concepts of linear regression and residual analysis.
• Apply regression techniques to build and refine linear models with datasets.
• Analyze the limitations of models and identify ways to improve their accuracy.+ Show more

Learning Objectives

• Understand and apply the formula for calculating the volume of a cylinder.
• Interpret real-world problems involving cylinder volume and solve multi-step questions.
• Develop problem-solving skills by analyzing dimensions and volume relationships.+ Show more

Learning Objectives

• Use a line of best fit to model the overall trend in a scatter plot
• Calculate the slope and intercept of a best-fit line and interpret what they mean
• Use a best-fit line to make reasonable predictions within the domain of the data+ Show more

Learning Objectives

• Calculate a unit rate from a proportional relationship by dividing to get a per 1 quantity value
• Compare two proportional situations by converting them to the same unit basis (e.g., per 1 item)
• Use unit-rate comparisons to decide which situation grows faster or costs more per 1 unit

Learning Objectives

• Understand how collaborative feedback enhances mathematical understanding and reasoning.
• Apply teamwork strategies to solve real-world mathematical problems.
• Analyze the impact of respectful and constructive feedback on problem-solving outcomes.+ Show more

Learning Objectives

• Understand how to interpret coefficients and terms in algebraic expressions representing linear relations.
• Develop skills in manipulating algebraic expressions to isolate variables and solve for unknowns.
• Apply algebraic models to practical scenarios such as calculating costs, distances, and rates.+ Show more

Learning Objectives

• Recognize different measures of data variability such as range and interquartile range.
• Calculate measures of variability for given data sets.
• Interpret variability indicators to assess data consistency or diversity.+ Show more

Learning Objectives

• Understand the properties of interior and exterior angles in polygons.
• Calculate unknown angles in different types of polygons using angle sum properties.
• Apply reasoning to interpret real-world problems involving polygon angles.+ Show more

Learning Objectives

• Identify and analyze key attributes of two- and three-dimensional figures, including side lengths, angles, and symmetry.
• Apply geometric properties such as parallelism, perpendicularity, and congruence to classify shapes and solve problems.
• Use real-world scenarios to interpret and calculate measurements related to geometric figures.+ Show more

Learning Objectives

• Identify proportional relationships of the form y = kx and the meaning of the constant of proportionality k
• Use plotted points on a coordinate grid to find k and write the rule y = kx
• Complete a ratio table for a proportional relationship and determine missing values+ Show more

Learning Objectives

• Understand the concept of ratios and how to compare quantities using proportional reasoning.
• Apply ratios to solve real-world problems such as scaling recipes and calculating speeds.
• Interpret and analyze proportional relationships in different contexts.+ Show more

Learning Objectives

• Identify proportional relationships on a coordinate grid by checking that the line passes through the origin.
• Use plotted points on a proportional graph to find the constant of proportionality k and the equation y = kx.
• Interpret proportional graphs using rate reasoning: compute and compare y/x values for nonzero points.+ Show more

Learning Objectives

• Recognize that similarity transformations keep angle measures the same while changing side lengths by a common scale factor.
• Use transformation sequences (dilations, rotations, reflections, translations) to map one figure to a similar figure on a coordinate grid.
• Find scale factors and corresponding lengths using ratios and proportional reasoning.

Learning Objectives

• Apply the distributive property to expand expressions with parentheses to form an equivalent equation.
• Combine like terms on each side to simplify to a linear equation in one variable.
• Solve the resulting linear equation by isolating the variable while keeping both sides balanced.+ Show more

Learning Objectives

• Use addition or subtraction to eliminate a variable when solving a system of two linear equations
• Solve the resulting one-variable linear equation after elimination
• Substitute back into an original equation to find the second variable and the ordered pair

Learning Objectives

• Rewrite expressions using the power of a power rule: (a^m)^n = a^(mn).
• Use the product of powers rule: a^m · a^n = a^(m+n) and the quotient rule: a^m ÷ a^n = a^(m−n).
• Solve exponent equations by rewriting both sides with the same base and equating exponents.

Learning Objectives

• Explain how integer exponents represent repeated multiplication and repeated division
• Use the exponent rules for integer powers (including zero and negative exponents) to find equivalent expressions
• Rewrite expressions with integer exponents as equivalent numerical values

Learning Objectives

• Solve linear equations with rational coefficients by eliminating fractions and isolating the variable
• Use equivalent transformations (same operation on both sides) to keep an equation balanced
• Verify solutions by substituting back into the original equation+ Show more

Learning Objectives

• Convert numbers between standard form and scientific notation
• Use exponent rules to multiply and divide numbers written in scientific notation
• Compare numbers in scientific notation using their powers of 10

Learning Objectives

• Solve linear equations in one variable using the properties of equality while keeping both sides balanced.
• Use inverse operations to isolate the variable, including when the equation has fractions or like terms.
• Check solutions by substituting the value back into the original equation.

Learning Objectives

• Solve a pair of simultaneous linear equations in two variables to find the ordered pair that satisfies both equations
• Connect the algebraic solution of a system to the intersection point of the graphs
• Identify whether a system has one solution, no solution, or infinitely many solutions

Learning Objectives

• Use substitution to rewrite one equation to express one variable in terms of the other
• Substitute that expression into the second equation to form and solve a one-variable equation
• Determine the corresponding value of the second variable and write the ordered pair solution

Learning Objectives

• Read two-way frequency tables to find counts and totals
• Calculate percentages and relative frequencies from two-way tables
• Find missing values in two-way tables using totals and margins+ Show more

Learning Objectives

• Identify complementary, supplementary, vertical, adjacent, and linear-pair angles
• Classify angle pairs formed by parallel lines and transversals
• Calculate unknown angle measures using geometric relationships+ Show more

Learning Objectives

• Identify the gradient (rate of change) and y-intercept (starting value) from points on a line
• Write a linear equation in the form y = mx + b that matches a graph
• Use y = mx + b to predict y-values for given x-values

Learning Objectives

• Understand different methods of collecting data systematically.
• Apply sampling techniques to gather representative data.
• Interpret data presented in tables and graphs.+ Show more

Learning Objectives

• Understand the basic criteria for triangle congruence, including side-angle-side and angle-side-angle.
• Apply the congruence criteria to determine whether two triangles are congruent in real-world contexts.
• Use logical reasoning and calculations to verify congruence of geometric figures.+ Show more

Learning Objectives

• Understand how to analyze ratios and proportions in real-world contexts.
• Apply proportional reasoning to solve problems involving scale models, rates, and comparisons.
• Assess the reasonableness of solutions using contextual clues and patterns.+ Show more

Learning Objectives

• Use the proportional function rule y = kx to find unknown inputs or outputs
• Determine the constant of proportionality k from given values and apply it to new values
• Solve proportional relationships in context, interpreting the results as meaningful

Learning Objectives

• Understand the components of the surface area of cylinders, including lateral surface area and base areas.
• Apply formulas to calculate the surface area of cylinders in practical scenarios.
• Interpret real-world problems involving measurement and geometry to determine total surface area.+ Show more

Learning Objectives

• Interpret and calculate percentages in various contexts such as discounts, taxes, and markups.
• Translate between fractions, decimals, and percentages accurately.
• Apply proportional reasoning to real-world problems involving price changes.+ Show more

Learning Objectives

• Understand how to interpret scatter plots to identify different types of correlations.
• Calculate and compare the strength of linear relationships between data sets.
• Apply mathematical reasoning to interpret data and assess causality versus association.+ Show more

Learning Objectives

• Solve multi-step ratio problems by finding an intermediate unit rate or quantity and then scaling to the final amount
• Keep the same proportional multiplier within each proportional relationship while applying it across steps
• Translate ratio situations into equations and use algebra to find missing values

Learning Objectives

• Understand how to combine like terms in algebraic expressions.
• Simplify algebraic expressions to their equivalent forms.
• Apply manipulation techniques to solve real-world problems involving linear relations.+ Show more

Learning Objectives

• Understand and apply rounding techniques to estimate results of rational number calculations.
• Develop reasoning strategies using benchmarks and compatible numbers to verify solutions.
• Solve multi-step word problems involving money, measurements, and percentages through estimation.+ Show more

Learning Objectives

• Reflect on and evaluate problem-solving strategies used in mathematics.
• Analyze the effectiveness of different reasoning approaches for solving problems.
• Develop awareness of personal thinking processes to improve mathematical understanding.+ Show more

Learning Objectives

• Use the form y = kx to describe proportional relationships that pass through the origin.
• Interpret the unit rate k as the slope of a proportional graph.
• Use proportional graphs to find missing y-values for given x-values and to compare rates of change.

Learning Objectives

• Understand the meaning of coefficients in algebraic expressions as rates of change.
• Interpret the initial value parameter in linear relationships within real-world contexts.
• Apply mathematical reasoning to solve problems involving coefficients and linear models.+ Show more

Learning Objectives

• Develop skills in estimating results to check the reasonableness of complex calculations.
• Apply rounding and benchmarking strategies to multi-step problems involving rational quantities.
• Evaluate the accuracy of solutions in practical contexts like shopping, measurements, and budgeting.+ Show more

Learning Objectives

• Use surface area formulas to calculate total outside area of 3D shapes.
• Combine base area and lateral area to find the total surface area for composite shapes.
• Solve equations that come from surface area formulas involving π.+ Show more