Grade 7 Maths Worksheets

Learning Objectives

• Apply mathematical reasoning to analyze financial data and marketing claims.
• Calculate percentages, discounts, and total costs in practical scenarios.
• Interpret data to make informed financial decisions based on mathematical analysis.+ Show more

Learning Objectives

• Analyze marketing claims related to credit cards, loans, and savings plans.
• Calculate and compare interest rates and costs to evaluate financial benefits.
• Interpret advertised benefits using mathematical reasoning.+ Show more

Learning Objectives

• Understand the concept of sequences and patterns in mathematics.
• Apply rules and formulas to generate and analyze sequences.
• Use sequences to model real-world situations and introduce basic coding concepts.+ Show more

Learning Objectives

• Calculate and compare costs associated with different payment options including fees and interest.
• Apply percentages to determine transaction fees and interest charges in real-world scenarios.
• Interpret financial data to make responsible payment choices based on cost-benefit analysis.+ Show more

Learning Objectives

• Understand the concept of simple interest and how it is calculated.
• Apply interest formulas to real-world scenarios involving savings and loans.
• Interpret interest rates and assess their impact on financial decisions.+ Show more

Learning Objectives

• Interpret solution sets for equations and inequalities in the context of a problem statement
• Use equivalent algebraic forms to keep the same meaning when modelling and interpreting results
• Match inequality solution direction to words like “at least” and “no more than”

Learning Objectives

• Understand and apply the product, quotient, and power properties of exponents.
• Interpret exponents in real-world contexts such as growth, population, and financial calculations.
• Evaluate the reasonableness of exponential expressions and solutions in practical problems.+ Show more

Learning Objectives

• Understand how to interpret linear relations represented in tabular form.
• Calculate the rate of change (slope) from data in tables.
• Identify the x-intercept and y-intercept from data tables.+ Show more

Learning Objectives

• Use vertical angles to find unknown angle measures in intersecting lines.
• Use linear pair relationships to solve for unknown angles on a straight line.
• Recognise and apply the idea of supplementary angles formed by adjacent angles.

Learning Objectives

• Apply the distributive property to expand expressions with parentheses.
• Combine like terms after expansion to write an equivalent linear expression in simplest form.
• Handle negative and fractional coefficients correctly during distributive expansion.

Learning Objectives

• Interpret lengths on a scale drawing and identify corresponding drawing and actual lengths
• Find a scale factor as a ratio (actual ÷ drawing) and use it consistently
• Use the scale factor to calculate missing drawing or actual lengths+ Show more

Learning Objectives

• Interpret data sets by organizing, presenting, and analyzing data to identify measures of central tendency and spread.
• Apply graphical representations and calculations to summarize data effectively.
• Use data insights to draw conclusions and support decision-making in practical scenarios.+ Show more

Learning Objectives

• Understand the properties of exponents, including product and power of a power laws.
• Apply exponent rules to simplify expressions in mathematical and real-world contexts.
• Interpret exponential expressions in practical situations such as population growth or decay.+ Show more

Learning Objectives

• Understand the relationship between subtraction and addition of integers.
• Apply integer subtraction in real-world contexts such as finance, temperature, and elevation.
• Develop problem-solving strategies for multi-step subtraction problems involving negative and positive integers.+ Show more

Learning Objectives

• Understand how to convert between decimals and percents accurately.
• Interpret decimals, percents, and ratios in real-world contexts like discounts and data analysis.
• Apply proportional reasoning and evaluate multiple methods for conversions.+ Show more

Learning Objectives

• Explain why dividing by a nonzero rational number q is the same as multiplying by its reciprocal 1/q.
• Rewrite quotients of rational numbers as multiplication problems using multiplicative inverses.
• Evaluate and simplify rational-number divisions and interpret the reciprocal/cancellation patterns.

Learning Objectives

• Multiply rational numbers and apply predictable sign rules for products and quotients.
• Divide rational numbers by rewriting division as multiplication by the reciprocal.
• Simplify products and quotients of fractions and check reasonableness using magnitude.+ Show more

Learning Objectives

• Add and subtract integers and rational numbers using sign-sensitive calculations.
• Solve linear equations involving rational coefficients by performing balanced inverse operations.
• Use equivalent forms (like factoring/distributing) to simplify rational-number expressions.

Learning Objectives

• Develop skills to analyze and interpret complex mathematical problems expressed in word form.
• Apply logical reasoning and problem-solving strategies to multi-step mathematical questions.
• Recognize connections across different mathematical topics such as algebra, geometry, and percentages when solving problems.+ Show more

Learning Objectives

• Use a common nonzero denominator to clear fractions from both sides of an equation.
• Solve the resulting equation with integer coefficients and keep the same solution set.
• Connect clearing denominators to checking solutions in the original fractional equation.

Learning Objectives

• Understand how to interpret scale factors in maps and diagrams.
• Apply proportional reasoning to find real-world distances from scaled measurements.
• Solve multi-step problems involving scale conversions and proportional relationships.+ Show more

Learning Objectives

• Understand how to calculate simple interest on loans and savings.
• Apply interest formulas to real-world borrowing and saving scenarios.
• Analyze the impact of interest rates on total debt and savings over time.+ Show more

Learning Objectives

• Understand how to construct nets for different three-dimensional shapes.
• Apply geometric reasoning to visualize and verify nets of solids.
• Calculate surface areas of shapes based on their nets and configurations.+ Show more

Learning Objectives

• Apply mathematical calculations to real-world shopping and budgeting scenarios.
• Interpret percentages, discounts, and pricing to make informed consumer choices.
• Analyze multi-step financial problems involving costs, savings, and comparisons.+ Show more

Learning Objectives

• Understand the effects of geometric transformations on shape size and properties.
• Apply transformation concepts to solve real-world problems involving movement and resizing.
• Analyze figures to determine congruence, symmetry, and pattern changes after transformations.+ Show more

Learning Objectives

• Use the distributive property to expand expressions of the form p(x+q)
• Convert factored/parenthetical equations into equivalent linear equations
• Combine like terms correctly after expanding, then solve for the variable

Learning Objectives

• Understand how different geometric transformations affect figures' position, size, and orientation.
• Calculate and interpret the effects of translation, rotation, reflection, and dilation on shapes.
• Analyze real-world situations involving geometric transformations for problem-solving.+ Show more

Learning Objectives

• Interpret |x| as the distance of a rational number x from 0
• Compare rational numbers using their absolute values (distances from 0)
• Solve simple absolute value equations+ Show more

Learning Objectives

• Use a scale factor to convert a drawing length to an actual length in a scale drawing.
• Set up and use a consistent correspondence between matching segments to find missing lengths.
• Solve simple equations that model proportional relationships in scale drawings.

Learning Objectives

• Use the triangle area formula A = (1/2)bh to find the area of a geometric component on a scale drawing.
• Apply a uniform scale factor to relate drawing areas to actual areas.
• Use additive area relationships to combine areas of parts to get a total actual area.+ Show more

Learning Objectives

• Understand how to compute simple interest using principal, rate, and time.
• Interpret interest rate data to compare savings options and loan costs.
• Apply mathematical reasoning to solve real-world financial problems involving interest.+ Show more

Learning Objectives

• Explain why corresponding angle measures stay the same when making a scale drawing.
• Use angle preservation to find the actual angle from the angle shown on the drawing.
• Justify that scaling changes lengths but not the opening between intersecting rays.

Learning Objectives

• Solve multi-step linear equations involving combining like terms and inverse operations.
• Apply reasoning to check the reasonableness of solutions in real-world contexts.
• Use multi-step equations to model and solve practical problems.+ Show more

Learning Objectives

• Develop mental math techniques for addition, subtraction, multiplication, and division of integers, fractions, and decimals.
• Evaluate the reasonableness of mental calculations in real-world contexts such as shopping or measurements.
• Apply mental math strategies to solve multi-step problems involving percentages and estimations.+ Show more

Learning Objectives

• Understand and interpret proportional relationships using visual tools like tables and double number lines.
• Apply proportional reasoning to solve real-world problems involving ratios, rates, and percentages.
• Analyze and verify the consistency of solutions derived from proportional models.+ Show more

Learning Objectives

• Understand the concept of rate of change in linear relationships.
• Calculate the slope of a line from data or graphs.
• Interpret the slope and intercepts to analyze real-world situations.+ Show more

Learning Objectives

• Understand the concept of variables in algebraic expressions.
• Formulate and interpret algebraic expressions based on problem situations.
• Simplify algebraic expressions and evaluate them with given values.+ Show more

Learning Objectives

• Identify and evaluate different problem-solving strategies used in mathematics.
• Apply logical reasoning and visual methods to solve complex problems.
• Select appropriate strategies for various mathematical challenges.+ Show more

Learning Objectives

• Apply percentage calculations to real-world problems involving discounts, taxes, and interest.
• Interpret the meaning of percent ratios and analyze how changing bases or rates affects outcomes.
• Develop problem-solving strategies for verifying the reasonableness of percentage calculations.+ Show more

Learning Objectives

• Understand how to translate real-world scenarios into algebraic equations.
• Apply variables to represent unknown quantities in problem-solving.
• Develop skills to construct and interpret linear equations from contextual data.+ Show more

Learning Objectives

• Understand and apply inverse operations to solve single-variable linear equations.
• Evaluate the reasonableness of solutions within real-world contexts.
• Develop confidence in algebraic problem-solving and reasoning skills.+ Show more

Learning Objectives

• Identify and categorize various sources of income such as wages, investments, and benefits.
• Calculate net income after deductions from gross income using percentage-based deductions.
• Interpret real-world income scenarios and solve related mathematical problems.+ Show more

Learning Objectives

• Learn strategies for solving multi-step and literal equations.
• Apply grouping like terms and isolating variables in real-world problems.
• Evaluate the reasonableness of solutions in practical contexts.+ Show more

Learning Objectives

• Understand and calculate basic measures of data spread such as range, interquartile range, and standard deviation.
• Interpret measures of spread to assess data variability and consistency in real-world contexts.
• Apply concepts of data spread to compare different data sets like test scores or measurements.+ Show more

Learning Objectives

• Understand and interpret proportional relationships in different contexts.
• Solve real-world problems involving ratios, rates, and proportions.
• Compare and evaluate different expressions of proportionality.+ Show more

Learning Objectives

• Understand different types of graphical representations such as bar graphs, line plots, and pie charts.
• Interpret data from various graphs to extract meaningful information.
• Evaluate the effectiveness of graphical choices like axes, labels, and scale in data comprehension.+ Show more

Learning Objectives

• Calculate and compare costs associated with different payment methods.
• Apply mathematical reasoning to interpret real-world financial scenarios.
• Evaluate benefits and drawbacks of payment options through problem-solving activities.+ Show more

Learning Objectives

• Translate “at least” and “no more than” situations into linear inequalities
• Solve linear inequalities and interpret the solution as a range of allowed values
• Match inequality signs to open/closed boundaries when representing solution sets on number lines