Year 8 Maths Formulas Flashcards

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 x q ÷ 2 Signup and view all the answers

What is the formula for the area of a kite?

p x q ÷ 2 Signup and view all the answers

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

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

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

4 x π x r^2 Signup and view all the answers

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

(2 x π x r^2) + (2 x π x r x h) Signup and view all the answers

What is the formula for the volume of a sphere?

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

What is the formula for the volume of a cylinder?

π x r^2 x h Signup and view all the answers

What is the formula for the volume of a cone?

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

What is the formula for the volume of a pyramid?

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

What is the formula for the circumference of a circle?

2 x π x r Signup and view all the answers

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

c ÷ π 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.

Description

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!