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revision > maths > Flashcards

maths Flashcards

1
Q

what is the formula for the area of a trapezium

A

area of a trapezium= (sum of two widths/2) x height

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2
Q

what is the formula for the area of a triangle

A

area of a triangle= length x width / 2

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3
Q

what is the formula for the area of a circle

A

area of a circle= pi x radius^2

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4
Q

what is the formula for calculating the mean of a set of numbers

A

mean= sum of all numbers / amount of numbers

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5
Q

what is the formula for the circumference of a circle

A

circumference of a circle= pi x diameter

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6
Q

what is the formula for the sine rule

A

a/sin(a)=b/sin(b)=c/sin(c)

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7
Q

what is the quadratic formula

A

x= (-b+- square root (b^2 - 4ac)) / 2a

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8
Q

what is the formula for the cosine rule

A

a^2= b^2 + c^2 - (2ab x cos(a))

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9
Q

what is the formula for the area of a sector

A

area of a sector= (theta/360) x pi x radius^2

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10
Q

what is the formula for the perimeter of a sector

A

perimeter of sector= ((theta/360) x pi x diameter) + (2 x radius)

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11
Q

what are the 4 criteria for congruence in triangles

A

SAS (Side angle side), SSS (side side side), AAS (angle angle side), RAS (right-angle side angle)

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12
Q

what is the Pythagorean theorem

A

a^2 + b^2 = c^2

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13
Q

what is the formula needed when plotting a histogram

A

frequency= class width x frequency density

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14
Q

what is the circle theorem for a triangle where one line is a diameter and all points are on the circumference

A

angle inside a semicircle = 90 degrees

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15
Q

what is the circle theorem for the angles inside a 4 sided shape inside a circle where all points touch circumference called

A

opposite angles in a cyclic quadrilateral =180 degrees

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16
Q

what is the circle theorem for where a radius and tangent meet

A

when a radius and tangent meet, the angle created is 90 degrees

17
Q

what is the circle theorem about two meeting tangents

A

two tangents that meet at a point are the same length

18
Q

what is the circle theorem about an angle at the origin and an angle at the circumference

A

the angel at the origin is double the angle at the circumference

19
Q

what is the circle theorem about angles in the same segment and standing on the same chord

A

angles in the same segment and standing on the same chord are equal.

20
Q

what is the formula for inverse proportion

A

y=k/x

21
Q

what is the formula for direct proportion

A

y = kx

22
Q

what is the square root of 225

A

15 or -15

revision (10 decks)

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