Maths Flashcards

1
Q

What is the definition of trigonometry?

A

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

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2
Q

What is the Pythagorean theorem?

A

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

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3
Q

What are the primary trigonometric functions?

A

The primary trigonometric functions are sine, cosine, and tangent.

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4
Q

What is the formula for the area of a triangle?

A

The formula for the area of a triangle is A = 1/2 * base * height.

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5
Q

What is the formula for the circumference of a circle?

A

The formula for the circumference of a circle is C = 2 * π * r, where r is the radius of the circle.

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6
Q

What is the formula for the volume of a sphere?

A

The formula for the volume of a sphere is V = 4/3 * π * r^3, where r is the radius of the sphere.

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7
Q

True or False: The sine function is equal to the ratio of the opposite side to the hypotenuse in a right triangle.

A

True

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8
Q

What is the formula for the area of a rectangle?

A

The formula for the area of a rectangle is A = length * width.

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9
Q

What is the formula for the volume of a cylinder?

A

The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius of the base and h is the height.

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10
Q

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

A

The formula for the surface area of a cube is SA = 6 * side^2, where side is the length of a side of the cube.

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11
Q

What is the definition of an equation?

A

An equation is a mathematical statement that shows the equality of two expressions.

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12
Q

What is the quadratic formula?

A

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / 2a, where a, b, and c are coefficients of a quadratic equation ax^2 + bx + c = 0.

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13
Q

What is the formula for the volume of a cone?

A

The formula for the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height.

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14
Q

What is the formula for the area of a circle?

A

The formula for the area of a circle is A = π * r^2, where r is the radius of the circle.

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15
Q

What is the definition of mensuration?

A

Mensuration is the branch of mathematics that deals with the measurement of geometric figures and the determination of their areas, volumes, lengths, and other properties.

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16
Q

What is the formula for the perimeter of a rectangle?

A

The formula for the perimeter of a rectangle is P = 2 * length + 2 * width.

17
Q

What is the formula for the volume of a rectangular prism?

A

The formula for the volume of a rectangular prism is V = length * width * height.

18
Q

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

A

The formula for the surface area of a sphere is SA = 4 * π * r^2, where r is the radius of the sphere.

19
Q

What is the formula for the area of a trapezoid?

A

The formula for the area of a trapezoid is A = 1/2 * (base1 + base2) * height.

20
Q

What is the formula for the volume of a pyramid?

A

The formula for the volume of a pyramid is V = 1/3 * base area * height, where the base area is the area of the base of the pyramid.

21
Q

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

A

The formula for the surface area of a cylinder is SA = 2 * π * r^2 + 2 * π * r * h, where r is the radius of the base and h is the height.

22
Q

What is the formula for the volume of a cube?

A

The formula for the volume of a cube is V = side^3, where side is the length of a side of the cube.

23
Q

What is the formula for the surface area of a rectangular prism?

A

The formula for the surface area of a rectangular prism is SA = 2 * (length * width + width * height + height * length).

24
Q

What is the formula for the area of a parallelogram?

A

The formula for the area of a parallelogram is A = base * height, where the base is the length of the base and the height is the perpendicular distance between the base and the opposite side.