Everything Needed To Know Flashcards

(52 cards)

1
Q

Formula for speed

A

Speed = distance over time

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2
Q

Formula for density

A

Density = mass over volume

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3
Q

Formula for pressure

A

Pressure = force over area

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4
Q

To find a side - sine rule

A

a over Sin A
bover Sin B
c over Sin C

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5
Q

Area of a non right angle traingle

A

Half ab sinC

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6
Q

What is the first circle theorem

A

Two radii make an isoceles

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7
Q

What is the second circle theorem

A

The angle at the centre is twice the angle at the circumference

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8
Q

What is the third circle theorem

A

The angle in a semi circle is 90 degrees

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9
Q

What is the fourth circle theorem

A

Angles in the same segment are equal

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10
Q

What is the fifth circle theorem

A

Opposite angles in a cyclic quad add up to 180

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11
Q

What is the sixth circle theorem

A

Angle between a radius and tangent is 90

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12
Q

What ia the seventh circle theorem

A

Two tangents meet at eaual length

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13
Q

What is the 8 circle theorem

A

The alternate segment theorem

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14
Q

What do you need for rotation

A

Centre of rotation
Angle
Direction

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15
Q

When reflecting a shape and the mirror line is

A

Horizontal or vertical count to the line
If mirror line is diagonal count diagonal to the line

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16
Q

What is a vector

A

A vector tells you the direction to move a shape

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17
Q

The number at the top of the vector is

A

Left or right

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18
Q

The number at the bottom of the vector is

A

Up or down

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19
Q

For enlargements you need

A

Scale factor
Centre of enlargement
Scale factor

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20
Q

What is scale factor

A

New image over original

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21
Q

Congruent shapes

A

Same shape
Same size

22
Q

Similar shapes

23
Q

Proving congruence

A

SAS
ASA
RHS
SSS

24
Q

An isoceles triangle

A

Has 2 sides that are same length
2 angles that are the same ( base angles )

25
Equailateral triangle
All angles are the same All sides are the same
26
Steps for inverse functions
Step 1 - write f ( x) as y Step 2 - make x the subject Step 3 - swap the y and x over Stel 4 - f-1 ( x) =
27
Direct proportion
A is in proportion to B A = KB
28
Inverse proportion
Y proportion sign 1 over k Y = k over x
29
What is the method for capture recapture
Marker over collected = initially marked over total population
30
Area of a trapezium
A + b over 2 x h
31
Anything to the power of 0 is
1:
32
A number with the power of a negative number is
1 over the number to the power of the other number
33
When using the quadratic formula what is thr quadratic form
Axsquared + bx + c
34
What is the formula for completing the square
( x - a ) squared - whatever that is + b
35
Steps for completing the square
x squared - 6x + 2 ( x - half number ) squared - whatever thst is and then add oe minus whatever u have which in this case is +2
36
Sin 0
0
37
Sin 30
Half
38
Sin 45
Root 2 over 2
39
Sin 60
Root 3 over 2
40
Sin 90
1
41
Cos 0
1
42
Cos 30
Root 3 over 2
43
Cos 45
Root 2 over 2
44
Cos 60
Half
45
Cos 90
Half
46
Tan 0
0
47
Tan 30
1 over root 3
48
Tan 45
1
49
Tan 60
Root 3
50
What can't you add densities or volumes
Densities
51
Perpendicular means
Negative reciprocal
52
Turning points of a graph
Y = a ( x - h ) sqaured + k Hand k are turning points