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GCSE Maths > Equations etc > Flashcards

Equations etc Flashcards

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1
Q

Area of a Circle

A

πr²

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2
Q

Circumference of a circle

A

2πr

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3
Q

Arc length

A

(Beta)
——- x 2πr
(360)

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4
Q

Area of a parallelogram

A

base x perpendicular height

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5
Q

Area of a trapezium

A

1/2(a+b)h

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6
Q

volume of a prism

A

area x cross section x length

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7
Q

volume of a pyramid

A

1
— x area of base x h
3

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8
Q

volume of a sphere

A

4
—- x πr³
3

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9
Q

curved surface area

A

πrl

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10
Q

volume of a cone

A

1
— x πr ² x h
3

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11
Q

Area of a triangle

A

1/2 x base x height

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12
Q

Area of a triangle (when c is between a and b)

A

1/2 x a x b x sin(C)

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13
Q

Cosine rule (When to use)

A

find an angle when given 3 sides or when given 2 sides and 1 angle

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14
Q

Sine rule (when to use)

A

find a length given 2 sides and 1 side or find an angle given 2 sides and 1 angle

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15
Q

interior angle + exterior angle

A

180 Degrees

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16
Q

Exterior angle

A

360
——
n

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17
Q

speed

A

speed= distance
————
Time

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18
Q

Density

A

Density= Mass
———
Volume

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19
Q

Pressure

A

pressure= Force
———
Area

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20
Q

Area of a sector of a circle

A

(BÊTA/360)xPI x rSQUARED

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21
Q

Circle theorem for angle at centre or circumference

A

«The angle si tended at the centre is twice that sub tended at the circumference by the same arc/chord”

22
Q

Angle at circumference with Diameter

A

“Angle subtended at circumference by the diameter is 90 degrees”

23
Q

Angles at circumference by arc or chord

A

“Angles subtended at the circumference by the same arc/cord are equal”

24
Q

Opposite angles in a cyclic quadrilateral

A

“Opposite angles in a cyclic quadrilateral add up to 180”

25
Q

Alternate segment Theorem

A

“Angle between a chord and tangent is the same as an angle subtended by that chord at the circumference in an alternate segment”

26
Q

Radius and tangent rule

A

“Radius is perpendicular to the tangent”

27
Q

Radius perpendicular to the chord rule

A

“When the radius is perpendicular to the chord, it bisects that chord”

28
Q

Perpendicular bisector of a chord and the diameter

A

“The perpendicular bisector of a chord is the diameter of the circle”

29
Q

Tangents at the same point

A

“Two tangents drawn from the same point are equal in length”

30
Q

Angles around a point…

A

Sum up to 360 degrees

31
Q

Angles on a straight line…

A

Sum to 180 degrees

32
Q

Opposite angles are…

A

Equal

33
Q

Parallel lines: alternate angles are..

A

Equal

34
Q

Parallel lines: corresponding angles are..

A

Equal

35
Q

Parallel lines: co interior angles…

A

Add up to 180

36
Q

2D shapes: Polygons

Interior angle + exterior angle =

A

180 degrees

37
Q

2D shapes: Polygons

Total exterior angles of an N-sided polygon =

A

360 degrees

38
Q

2D shapes: Polygons

Total interior angles of an n sided polygon =

A

180(n-2)

39
Q

2D shapes: Polygons

One exterior angle of a regular n sided polygon =

A

360/n

40
Q

2D shapes: Polygons

One interior angle of a regular n sided polygon =

A

180(n-2)
————-
n

41
Q

ASF =

A

LSFsquared

42
Q

VSF=

A

LSFcubed

43
Q

Reflection transformation

A

State “reflection” and the line of symmetry

44
Q

Rotation transformation

A

State “rotation” and the centre, angle and direction of rotation

45
Q

Translation transformation

A

State “translation” and the VECTOR it’s shifted by

46
Q

Enlargement transformation

A

State “enlargement” and the centre of enlargement and scale factor

47
Q

F(x + t) + s

Becomes..

A

Translation by vector

-t
(S)

48
Q

Af(x)

A

Stretch by scale factor a in the y direction

49
Q

F(ax)

A

Stretch by scale factor 1/a in the x direction

50
Q

-f(x)

A

Reflection in the x axis

51
Q

F(-x)

A

Reflection in the y axis

GCSE Maths (1 decks)

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