Middle School
Middle School Worksheets
Free printable middle school worksheets for 6th, 7th and 8th grade covering ratios, percentages, algebra, geometry and science.
Grades 6–8 · Ages 11–14. 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 & printPercentages
Work out a percentage of a quantity and explain the relationship to a fraction of 100.
Preview & printOrder of operations
Apply multiplication before addition to evaluate multi-step arithmetic expressions accurately.
Preview & printHighest common factor (HCF)
Find the highest common factor (HCF) shared by two whole numbers.
Preview & printArea of a triangle
Calculate the area of a triangle from its base and perpendicular height using A = ½bh.
Preview & printReverse percentages: original value
Work backwards from a percentage-increased or percentage-decreased value to find the original 100% quantity.
Preview & printLinear equations
Solve a linear equation by reversing addition and multiplication, then substitute your answer to check it.
Preview & printSimultaneous linear equations
Eliminate y by adding x + y and x − y to solve a pair of simultaneous linear equations.
Preview & printPythagoras: hypotenuse
Calculate the hypotenuse of a right-angled triangle from two perpendicular side lengths.
Preview & printCircle circumference & area
Use π ≈ 3.14 and radius r to calculate the circumference or area of a circle.
Preview & printGradient of a line
Calculate the gradient of a straight line segment joining two coordinate points using rise divided by run.
Preview & printCalculating the mean
Sum a set of four data values and divide by four to calculate the arithmetic mean.
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