The perimeter of a square is four times the length of one side. Write an
expression for this quantity given side s.
The perimeter of a rectangle is two times its width plus its height. Write
an expression for this quantity given width w and
height h.
The area of a square is the square of the length of one side. Write an
expression for this area given side s.
The area of a rectangle is its width times its height. Write an expression
for this area given width w and height h.
The area of a triangle is half the base time the height. Write an
expression for this area given base b and
height h.
The area of a trapezoid is half the sum of the bases times the height. Write
an expression for this area given bases b1 and b2
and height h.
The area of a circle is π times the square of the circle’s radius. Write an
expression for this area given radius r.. You can
use Math.PI to get a good approximation of π.
The circumference of a circle is 2πr. Write an expression for this quantity
given radius r. You can use Math.PI to get a good
approximation of π.
The curved surface area of a cylinder (i.e. the outside excluding the top
and bottom) is the circumference of its base circle times its height. Write
an expression for this area given a base radius of r and
height h. You can use Math.PI to get a good
approximation of π.
The total surface area of a cylinder (the curved surface area plus the top
and bottom) is sum of the curved surface area plus two times the area of the
top and bottom circles. Write an expression for this area given a base
radius of r and height h. You can
use Math.PI to get a good approximation of π.
The volume of a circle is the area of the base circle times the height.
Write an expression for this volume given a base radius of r
and height h. You can use Math.PI to get a good
approximation of π.
The curved surface area of a cone (i.e. the outside excluding the circular
base) is π times the radius of the base times the slant height. Write an
expression for this area given base radius r and slant
height s. You can use Math.PI to get a good
approximation of π.
The total surface area of a cone is its curved surface area plus the area of
its circular base. Write an expression for this area given base
radius r and slant height s. You can
use Math.PI to get a good approximation of π.
The total surface area of a cone can also be computed from its base radius
and height by computing its slant height as the square root of the sum of
the base radius squared and the height squared. Write an expression
for this area computed this way given base radius r and
height h. You can use Math.PI to get a good
approximation of π. And the function Math.sqrt() computes the
square root of its arguments, e.g. Math.sqrt(2) =>
1.4142135623730951.
The volume of cone is the area of its circular base time a third of its height.
Write an expression for this volume given base radius r and
height h. You can use Math.PI to get a good
approximation of π.
The surface area of a sphere is four times the area of a circle with the
same radius as the sphere. Write an expression for this volume given
radius r. You can use Math.PI to get a good
approximation of π.
The volume of a sphere is 4/3 times π times the radius cubed. Write an
expression for this volume given radius r.. You can
use Math.PI to get a good approximation of π.
Write an expression that, given two points on a line, a
and b, represented as numbers (imagine mile makers on a road
or something), evaluates to the midpoint between them. For instance
if a is 6 and b is 10, the midpoint is 8. You
can assume that a is not greater than b
If you remember the Pythagorean theorem, you know that the length of the
hypotenuse of a right triangle is the square root of the sum of the squares
of the two other sides. Write an expression for the length of a hypotenuse
of a triangle with sides a and b.
(Math.sqrt() computes the square root of its arguments,
e.g. Math.sqrt(2) => 1.4142135623730951.)