Middle School

8th Grade Worksheets

Free printable 8th grade worksheets for Pythagoras, simultaneous equations, coordinate gradient, midpoint, quadratics and trigonometry.

8th Grade · Ages 13–14. Grade groupings are a practical starting guide, not a certified curriculum endorsement — review each sheet before teaching.

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Maths8th Grade · Ages 13–14

Pythagoras: hypotenuse

Calculate the hypotenuse of a right-angled triangle from two perpendicular side lengths.

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Maths8th Grade · Ages 13–14

Simultaneous linear equations

Eliminate y by adding x + y and x − y to solve a pair of simultaneous linear equations.

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Maths8th Grade · Ages 13–14

Equations with brackets & fractions

Solve multi-step linear equations involving bracketed expressions and algebraic fractions by clearing the denominator.

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Maths8th Grade · Ages 13–14

Factored quadratic equations

Solve a monic quadratic equation by factorising into two linear brackets and identifying the greater root.

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Maths8th Grade · Ages 13–14

Gradient of a line

Calculate the gradient of a straight line segment joining two coordinate points using rise divided by run.

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Maths8th Grade · Ages 13–14

Midpoint of a line segment

Average the x-coordinates and y-coordinates of two endpoints to find the midpoint M of a line segment.

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Maths8th Grade · Ages 13–14

Right-triangle trigonometry (SOHCAHTOA)

Apply sine, cosine and tangent ratios (SOHCAHTOA) in right-angled triangles and simplify to lowest terms.

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Maths8th Grade · Ages 13–14

Volume of cylinders & cones

Calculate the volume of a right circular cylinder (V = πr²h) or cone (V = ⅓πr²h) using π = 3.14.

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Maths8th Grade · Ages 13–14

Circle arc length & sector area

Use θ ÷ 360° with π = 3.14 to calculate the arc length or area of a circular sector.

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Maths8th Grade · Ages 13–14

Circle theorems & cyclic quadrilaterals

Apply circle theorems for the angle at the centre (2× circumference angle) and opposite angles in a cyclic quadrilateral.

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Maths8th Grade · Ages 13–14

Percentage increase & decrease

Increase or decrease a starting value by a given percentage to find the new quantity.

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Maths8th Grade · Ages 13–14

Laws of indices (exponents)

Apply the multiplication, division and power laws of indices to simplify algebraic powers.

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