Equations etc

Question 1

Area of a Circle

Answer 1

πr²

Question 2

Circumference of a circle

Answer 2

2πr

Question 3

Arc length

Answer 3

(Beta)
——- x 2πr
(360)

Question 4

Area of a parallelogram

Answer 4

base x perpendicular height

Question 5

Area of a trapezium

Answer 5

1/2(a+b)h

Question 6

volume of a prism

Answer 6

area x cross section x length

Question 7

volume of a pyramid

Answer 7

1
— x area of base x h
3

Question 8

volume of a sphere

Answer 8

4
—- x πr³
3

Question 9

curved surface area

Answer 9

πrl

Question 10

volume of a cone

Answer 10

1
— x πr ² x h
3

Question 11

Area of a triangle

Answer 11

1/2 x base x height

Question 12

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

Answer 12

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

Question 13

Cosine rule (When to use)

Answer 13

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

Question 14

Sine rule (when to use)

Answer 14

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

Question 15

interior angle + exterior angle

Answer 15

180 Degrees

Question 16

Exterior angle

Answer 16

360
——
n

Question 17

speed

Answer 17

speed= distance
————
Time

Question 18

Density

Answer 18

Density= Mass
———
Volume

Question 19

Pressure

Answer 19

pressure= Force
———
Area

Question 20

Area of a sector of a circle

Answer 20

(BÊTA/360)xPI x rSQUARED

Question 21

Circle theorem for angle at centre or circumference

Answer 21

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

Question 22

Angle at circumference with Diameter

Answer 22

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

Question 23

Angles at circumference by arc or chord

Answer 23

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

Question 24

Opposite angles in a cyclic quadrilateral

Answer 24

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

Question 25

Alternate segment Theorem

Answer 25

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

Question 26

Radius and tangent rule

Answer 26

“Radius is perpendicular to the tangent”

Question 27

Radius perpendicular to the chord rule

Answer 27

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

Question 28

Perpendicular bisector of a chord and the diameter

Answer 28

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

Question 29

Tangents at the same point

Answer 29

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

Question 30

Angles around a point...

Answer 30

Sum up to 360 degrees

Question 31

Angles on a straight line...

Answer 31

Sum to 180 degrees

Question 32

Opposite angles are...

Answer 32

Equal

Question 33

Parallel lines: alternate angles are..

Answer 33

Equal

Question 34

Parallel lines: corresponding angles are..

Answer 34

Equal

Question 35

Parallel lines: co interior angles...

Answer 35

Add up to 180

Question 36

2D shapes: Polygons | Interior angle + exterior angle =

Answer 36

180 degrees

Question 37

2D shapes: Polygons | Total exterior angles of an N-sided polygon =

Answer 37

360 degrees

Question 38

2D shapes: Polygons | Total interior angles of an n sided polygon =

Answer 38

180(n-2)

Question 39

2D shapes: Polygons | One exterior angle of a regular n sided polygon =

Answer 39

360/n

Question 40

2D shapes: Polygons | One interior angle of a regular n sided polygon =

Answer 40

180(n-2) ————- n

Question 41

ASF =

Answer 41

LSFsquared

Question 42

VSF=

Answer 42

LSFcubed

Question 43

Reflection transformation

Answer 43

State “reflection” and the line of symmetry

Question 44

Rotation transformation

Answer 44

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

Question 45

Translation transformation

Answer 45

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

Question 46

Enlargement transformation

Answer 46

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

Question 47

F(x + t) + s Becomes..

Answer 47

Translation by vector | -t (S)

Question 48

Af(x)

Answer 48

Stretch by scale factor a in the y direction

Question 49

F(ax)

Answer 49

Stretch by scale factor 1/a in the x direction

Question 50

-f(x)

Answer 50

Reflection in the x axis

Question 51

F(-x)

Answer 51

Reflection in the y axis