Year 8 Maths Formulas Flashcards
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Questions and Answers

What is the formula for the area of a triangle?

  • b x h
  • p x q ÷ 2
  • 1/2 x b x h (correct)
  • π x r^2
  • What is the formula for the area of a parallelogram?

  • 1/2 x b x h
  • π x r^2
  • b x h (correct)
  • p x q ÷ 2
  • What is the formula for the area of a circle?

  • p x q ÷ 2
  • b x h
  • π x r^2 (correct)
  • 1/2 x b x h
  • What is the formula for the area of a rhombus?

    <p>p x q ÷ 2</p> Signup and view all the answers

    What is the formula for the area of a kite?

    <p>p x q ÷ 2</p> Signup and view all the answers

    What is the formula for the surface area of a cone?

    <p>π x r x (r + √(h^2 + r^2))</p> Signup and view all the answers

    What is the formula for the surface area of a sphere?

    <p>4 x π x r^2</p> Signup and view all the answers

    What is the formula for the surface area of a cylinder?

    <p>(2 x π x r^2) + (2 x π x r x h)</p> Signup and view all the answers

    What is the formula for the volume of a sphere?

    <p>4/3 x π x r^3</p> Signup and view all the answers

    What is the formula for the volume of a cylinder?

    <p>π x r^2 x h</p> Signup and view all the answers

    What is the formula for the volume of a cone?

    <p>1/3 x π x r^2 x h</p> Signup and view all the answers

    What is the formula for the volume of a pyramid?

    <p>1/3 x area of base x h</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>2 x π x r</p> Signup and view all the answers

    What is the formula to find the diameter of a circle from the circumference?

    <p>c ÷ π</p> Signup and view all the answers

    Study Notes

    Area Formulas

    • Area of a Triangle: Calculated using the formula 1/2 x base (b) x height (h), essential for finding the size of triangular shapes.
    • Area of a Parallelogram: Determined by the formula base (b) x height (h), useful for quadrilaterals with opposite sides parallel.
    • Area of a Circle: Given by π (pi) x radius (r)², vital for calculations involving circular spaces.
    • Area of a Rhombus: Uses the formula p x q ÷ 2, where p and q are the lengths of the diagonals.
    • Area of a Kite: Also calculated with the formula p x q ÷ 2, similarly based on the lengths of the diagonals.

    Surface Area Formulas

    • Surface Area of a Cone: Calculated using π x radius (r) x (r + √(height² + radius²)); important for conical shapes.
    • Surface Area of a Sphere: Determined by the formula 4 x π x radius (r)², key for understanding three-dimensional spheres.
    • Surface Area of a Cylinder: Found using (2 x π x radius (r)²) + (2 x π x radius (r) x height (h)), combining circular and lateral areas.

    Volume Formulas

    • Volume of a Sphere: Given by 4/3 x π x radius (r)³, essential for calculating the capacity of spherical objects.
    • Volume of a Cylinder: Formula is π x radius (r)² x height (h), crucial for cylindrical containers.
    • Volume of a Cone: Calculated with 1/3 x π x radius (r)² x height (h), important for objects like ice cream cones.
    • Volume of a Pyramid: Uses the formula 1/3 x area of base x height (h), applicable for pyramidal structures.

    Circle Measurements

    • Circumference of a Circle: Determined by 2 x π x radius (r), useful for finding the perimeter around circular shapes.
    • Diameter from Circumference: Can be calculated using circumference (c) ÷ π, linking linear measurements to circular ones.

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    Test your knowledge of essential math formulas with these Year 8 flashcards. Each card presents a different mathematical area calculation, helping you memorize and understand the concepts. Perfect for quick revision before exams!

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