Middle School
6th Grade Worksheets
Free printable 6th grade worksheets for ratios, reverse percentages, compound area, median & range, and gear ratios.
6th Grade · Ages 11–12. Grade groupings are a practical starting guide, not a certified curriculum endorsement — review each sheet before teaching.
Sharing in a ratio
Divide a total quantity into proportional parts using a given two-part ratio.
Preview & printReverse percentages: original value
Work backwards from a percentage-increased or percentage-decreased value to find the original 100% quantity.
Preview & printCompound L-shape area
Partition an L-shaped rectilinear figure into two non-overlapping rectangles to calculate its total area.
Preview & printArea of a trapezium
Calculate the area of a trapezium from its parallel sides and perpendicular height using A = ½(a + b)h.
Preview & printMedian & range of data sets
Find the middle value (median) or the spread (range) of an ordered five-number data set.
Preview & printCalculating the mean
Sum a set of four data values and divide by four to calculate the arithmetic mean.
Preview & printHighest common factor (HCF)
Find the highest common factor (HCF) shared by two whole numbers.
Preview & printLowest common multiple (LCM)
Find the lowest common multiple (LCM) shared by two whole numbers.
Preview & printGears, teeth & rotations
Use the ratio of gear teeth between meshing gears to calculate rotational turns.
Preview & printSolids, liquids & gases
Compare solids, liquids and gases and identify phase changes such as melting and evaporation.
Preview & printMagic square missing values
Use the constant row sum of a 3 × 3 magic square to deduce the missing cell value.
Preview & printTwo-step word problems
Read a short situation and connect two calculation steps to reach an answer.
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