Grade 8 Maths Worksheets

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

• 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

• Describe the direction of association in a scatter plot (positive, negative, or none).
• Judge the strength of association by how tightly points cluster around a general trend.
• Read coordinates from a scatter plot and use them to support conclusions about the pattern.

Learning Objectives

• Interpret linear models in real-world contexts and analyze data trends.
• Construct and interpret data tables and graphs to model linear relationships.
• Calculate and evaluate the parameters of linear models, such as slope and intercept.+ 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

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

• Interpret and analyze various types of diagrams to understand linear relationships.
• Graph linear equations and inequalities accurately and interpret their features.
• Compare graphical and algebraic forms of linear relations using real-world data.+ Show more

Learning Objectives

• Understand the formula for calculating the volume of a prism as base area times height.
• Apply the volume formula to solve real-world problems involving storage and measurement.
• Interpret and analyze multi-step volume problems involving different base shapes.+ Show more

Learning Objectives

• Classify numbers as rational or irrational
• Use closure properties to predict whether an expression is rational or irrational
• Apply addition and multiplication rules involving rational and irrational numbers

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

• 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

• Interpret and calculate discounts and markups in real-world shopping scenarios.
• Analyze trade-offs between immediate costs and future benefits in financial decision-making.
• Apply percentage calculations to budgeting and personal finance problems.+ Show more

Learning Objectives

• Apply properties of angles, shapes, and congruence to geometric problems.
• Use logical reasoning to justify geometric relationships and theorems.
• Solve multi-step geometric problems involving measurements and properties.+ Show more

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

• Use rational approximations to locate the value of an irrational number (like √2) between nearby decimals on a number line
• Compare irrational numbers by comparing their rational decimal approximations
• Translate number-line order information into inequality statements

Learning Objectives

• Add and subtract radicals by combining only like radicals (same radicand).
• Simplify radical expressions using perfect squares and exponent/root rules.
• Simplify products and quotients of radicals by combining factors under one radical when appropriate.

Learning Objectives

• Solve equations of the form x² = a and x³ = a using exact radical solutions
• Express solutions symbolically using square roots and cube roots (not decimals)
• Relate radical solutions to their positions on the number line

Learning Objectives

• Classify numbers as rational or irrational based on their decimal expansions
• Convert between fractions and terminating or repeating decimals to identify rational numbers
• Recognize common irrational numbers such as √2 and π and justify why they are irrational

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

• Identify whether a data display shows a positive, negative, or no association between two variables
• Explain why correlation (association) does not prove causation
• Use numerical features of graphs (center/spread/outliers) to describe relationships without making causal claims

Learning Objectives

• Interpret the constant of proportionality k in y = kx as the ratio y/x for any nonzero pair (x, y)
• Use k to find missing values in proportional relationships (solve for y or x)
• Connect proportional tables, graphs, and tape diagrams to the same constant k+ 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

• 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

• 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

• Describe congruence using transformations such as translations, reflections, and rotations.
• Use coordinates to find the image of points after a transformation.
• Verify congruence by comparing corresponding lengths in transformed figures.

Learning Objectives

• Use the Pythagorean theorem a^2 + b^2 = c^2 to find missing side lengths in right triangles.
• Identify which side is the hypotenuse and match its value correctly to the right-angle vertex.
• Apply Pythagorean thinking to real-world contexts such as diagonals and ladder reach.

Learning Objectives

• Describe how translations, rotations, and reflections move points on a 2D coordinate grid.
• Calculate the image of a point under a specified rigid motion.
• Use properties of rigid motions to verify that distances and angles are preserved.

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

• 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

• 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

Learning Objectives

• Use volume formulas to find the volume of cylinders, cones, and spheres.
• Substitute values for radius and height into the correct formula and simplify accurately.
• Solve for an unknown radius or height using volume relationships.+ Show more

Learning Objectives

• Understand that solving x^3 = p gives x = ∛p
• Use cube root notation correctly for positive and negative values of p
• Evaluate cube roots by checking that cubing the result gives p

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

• 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

• 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

• 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

• Determine slope using rise and run from two points on a coordinate grid
• Compare slopes from different pairs of points on the same line to confirm slope is constant
• Use sign (positive/negative/zero) to interpret slope direction from points

Learning Objectives

• Understand how to estimate probabilities using experimental data and relative frequencies.
• Learn how increasing the number of trials refines probability estimates.
• Apply calculations to interpret experimental data and compare with theoretical probabilities.+ Show more

Learning Objectives

• Understand how to design experiments to investigate probability outcomes.
• Apply methods for selecting appropriate trials and controlling variables.
• Analyze experimental data to estimate probability and compare with theoretical values.+ Show more

Learning Objectives

• Understand how to form linear models from real-world data.
• Calculate slope and intercept in linear equations.
• Interpret and validate linear models in practical contexts.+ Show more

Learning Objectives

• Understand how algebraic, graphical, and tabular forms represent linear relations.
• Interpret different forms to analyze the properties of linear models.
• Apply concepts of linear relations to solve real-world problems involving measurement, budgeting, and data interpretation.+ Show more

Learning Objectives

• Understand basic algorithmic thinking and the use of coding constructs to represent linear patterns.
• Apply mathematical reasoning to interpret and generate data related to programming models.
• Solve problems involving calculations of ratios, percentages, and linear relationships in real-world contexts.+ Show more

Learning Objectives

• Understand and apply the laws of exponents to simplify expressions.
• Evaluate exponential expressions in real-world contexts, including scientific notation.
• Interpret exponential growth and decay in practical scenarios such as finance and science.+ Show more

Learning Objectives

• Identify linear patterns and sequences in data.
• Translate real-world situations into algebraic models.
• Construct graphs to represent linear relationships.+ Show more

Learning Objectives

• Understand how to calculate discounts and price adjustments using percentages.
• Apply proportional reasoning to interpret sale prices, taxes, and markups.
• Solve multi-step problems involving percentages, decimals, and fractions in real-world contexts.+ Show more

Learning Objectives

• Develop reasoning skills through collaborative problem-solving scenarios.
• Apply mathematical concepts to practical and real-world contexts involving teamwork.
• Analyze how effective communication and constructive feedback improve mathematical understanding.+ Show more