Grade 6 Maths Worksheets

Learning Objectives

• Identify positive multiples shared by two whole numbers.
• Calculate the least common multiple of numbers up to 12.
• Apply LCM to solve problems involving repeating events.+ Show more

Learning Objectives

• Complete equivalent ratio tables using consistent multiplication factors.
• Convert equivalent ratios into correctly ordered coordinate pairs.
• Plot proportional relationships accurately in the first quadrant.+ Show more

Learning Objectives

• Calculate unit prices by dividing total costs by quantities.
• Compare package prices to identify the better purchasing value.
• Complete ratio tables using a constant price per item.+ Show more

Learning Objectives

• Interpret percentages as rates representing quantities out of 100.
• Represent percentages using shaded hundred grids and tape diagrams.
• Convert accurately between equivalent fractions, decimals, and percents.+ Show more

Learning Objectives

• Calculate an unknown whole using a known part and percentage.
• Interpret double number lines to determine complete quantities from percentages.
• Complete ratio tables connecting known percentages with total quantities.+ Show more

Learning Objectives

• Represent real-world quantities using positive and negative integers.
• Plot signed integers accurately on a number line.
• Interpret zero as a reference point in different situations.+ Show more

Learning Objectives

• Identify the greatest common factor of two whole numbers.
• Rewrite numerical sums as products using the distributive property.
• Check whether a numerical sum has been completely factored.+ Show more

Learning Objectives

• Identify factors shared by two whole numbers up to 100.
• Calculate the greatest common factor using organized factor lists.
• Determine the GCF by multiplying shared prime factors.+ Show more

Learning Objectives

• Calculate multi-digit decimal quotients using the standard division algorithm.
• Convert decimal divisors into whole numbers using equivalent division expressions.
• Identify procedural and computational mistakes in decimal long division.+ Show more

Learning Objectives

• Calculate products of multi-digit decimals using the standard algorithm.
• Determine decimal placement using the place values of both factors.
• Identify incorrect partial products in decimal multiplication calculations.+ Show more

Learning Objectives

• Align decimal points correctly when subtracting multi-digit decimal numbers.
• Calculate decimal differences using the standard subtraction algorithm.
• Apply regrouping across tenths, hundredths, and thousandths place values.+ Show more

Learning Objectives

• Align decimal points correctly when adding multi-digit decimal numbers.
• Calculate decimal sums through the thousandths place using standard algorithms.
• Apply regrouping accurately across whole-number and decimal place-value columns.+ Show more

Learning Objectives

• Calculate multi-digit quotients using the standard long-division algorithm.
• Divide five-digit whole numbers by two-digit divisors accurately.
• Apply correct place value when recording zeros in quotients.+ Show more

Learning Objectives

• Interpret fraction division in real-world measurement and sharing situations.
• Calculate fraction quotients using multiplication by the reciprocal.
• Represent fraction division using fraction bars and tape diagrams.+ Show more

Learning Objectives

• Calculate fraction quotients using multiplication by the reciprocal.
• Interpret fraction division using visual fraction bars.
• Represent fraction quotients with equal-part tape diagrams.+ Show more

Learning Objectives

• Interpret fraction division as counting equal fractional groups.
• Identify fractional group sizes in shaded fraction bars.
• Calculate fraction division quotients using tape diagrams.+ Show more

Learning Objectives

• Construct equivalent ratios to convert metric and customary measurements.
• Calculate conversions between length, mass, capacity, and time units.
• Apply multiplication and division using appropriate unit conversion factors.+ Show more

Learning Objectives

• Calculate a given percent of a whole quantity using multiplication.
• Interpret double number lines to determine percentages of quantities.
• Use tape diagrams to represent percentages of whole amounts.+ Show more

Learning Objectives

• Calculate constant speed by dividing distance by elapsed time.
• Determine missing distances and times using constant-speed relationships.
• Interpret distance–time graphs to identify distances traveled.+ Show more

Learning Objectives

• Complete double number lines using matching values and equivalent ratios.
• Calculate missing quantities using multiplication and division scale factors.
• Determine unit rates from pairs of corresponding quantities.+ Show more

Learning Objectives

• Write ratios from pictures using colon and fraction notation.
• Express ratio comparisons accurately using mathematical words.
• Distinguish part-to-part ratios from part-to-whole ratios.+ Show more

Learning Objectives

• Generate equivalent ratios using a common multiplication factor.
• Calculate missing table values using multiplication and division.
• Interpret equivalent ratios using double number lines.+ Show more

Learning Objectives

• Interpret unit rates as quantities measured per one unit.
• Calculate unit rates by dividing corresponding quantities.
• Determine unit prices and identify the better buy.+ Show more

Learning Objectives

• Represent ratios using single and double tape diagrams.
• Generate equivalent ratios using multiplication and division.
• Calculate missing quantities from equal-sized ratio parts.+ Show more

Learning Objectives

• Identify part-to-part and part-to-whole ratios in picture models.
• Write ratios in the correct order from labeled quantities.
• Interpret tape diagrams representing groups within a whole.+ Show more

Learning Objectives

• Identify and write part-to-part ratios from shaded and unshaded pictures.
• Distinguish part-to-part from part-to-whole ratios using visual models.
• Interpret tape diagrams to compare ratios and solve proportional problems.+ Show more

Learning Objectives

• Construct equivalent ratio tables using consistent multiplication and division factors.
• Compare ratio relationships by matching one quantity.
• Interpret double tape diagrams to evaluate relative quantities.+ 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

• 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

• Divide fractions by fractions and express results in simplest form
• Solve fraction division problems involving mixed numbers accurately
• Simplify fraction division answers to the lowest terms+ 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

• 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

• 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

• 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

• 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 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

• Interpret a percent as a part out of 100 and connect it to equivalent decimals.
• Convert between percent form and decimal form for rational numbers.
• Use number lines and bar (tape) models to locate equivalent percent/decimal values.

Learning Objectives

• Compare two numerical distributions using measures of center and spread (especially median and interquartile range).
• Use box plots to read quartiles (Q1, median, Q3), compute the IQR, and interpret variability.
• Describe how distributions differ by being shifted left or right and by having greater or smaller spread.

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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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