8th grade math worksheets
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Pythagorean theorem
Grade 8
Find an unknown side of a right triangle using the Pythagorean theorem
Customize this sheetWhat to practice this year
The Pythagorean theorem is the year's centerpiece, and the direction matters. Finding the hypotenuse is an addition and a square root; finding a leg is a subtraction and a square root, and a child who has only practiced the first will add when they should take away. Both directions get their own sheets here for that reason, and every triangle is built from a whole-number triple so the arithmetic never obscures the method.
Why these skills come next
Whole-number answers are what make the practice about the theorem. Built from any two legs, a right triangle almost never has a whole hypotenuse, and a sheet full of surds tests notation rather than method. Every triangle here comes from a Pythagorean triple, which is what a textbook does and for the same reason.
Nothing matches that. Try a skill, a number, or a topic.
Step 1 of 12
The Pythagorean theorem
Both directions on a triangle, then the same theorem on a coordinate grid.Step 2 of 12
Roots, powers, and what kind of number
Undoing a square, sizing up the roots that never come out, and writing a number too big to write out.Step 3 of 12
Angles and round solids
Two angle facts the year turns on, and the two solids a circle makes.Step 4 of 12
Working with powers and letters
The three exponent rules, solving with x on both sides — and knowing when there is no answer at all.Step 5 of 12
Moves on the grid
Sliding, flipping and turning a point — and what each move does to its coordinates.Step 6 of 12
What a function is
Every input gets one output — and then whether the rule draws a straight line. Both have one catch each.Step 7 of 12
Lines, and where two of them cross
The two numbers a line carries — and the pair that satisfies two lines at once.Step 8 of 12
Moves on the grid, one at a time
The three transformations separately, before they are asked for mixed.Step 9 of 12
Equations, all the way
Two steps, then a letter on both sides, then how many solutions there are.Step 10 of 12
Angles and circles carried on
The parallel-line pair split out, and a slice of a circle measured.- Corresponding angles
Print the F shape - Alternate angles
Print the Z shape - Arc length and sector area
Print r = 10, 90° slice - Volume of a sphere
Print r = 3 cm → __ cm³ - Surface area of a sphere
Print r = 3 cm → __ cm² - Inscribed angle in a circle
Print center 120° → circle __° - Circumscribed circle of a triangle
Print 15, 20, 25 → R = __ - Inscribed circle of a triangle
Print 15, 20, 25 → r = __
Step 11 of 12
Roots on their own
Square and cube roots separately, which is how they are asked for.Step 12 of 12







