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Maths Gcse Flashcards > Everything Needed To Know > Flashcards

Everything Needed To Know Flashcards

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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

A

Same shape

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
Q

Equailateral triangle

A

All angles are the same
All sides are the same

26
Q

Steps for inverse functions

A

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
Q

Direct proportion

A

A is in proportion to B
A = KB

28
Q

Inverse proportion

A

Y proportion sign 1 over k
Y = k over x

29
Q

What is the method for capture recapture

A

Marker over collected = initially marked over total population

30
Q

Area of a trapezium

A

A + b over 2 x h

31
Q

Anything to the power of 0 is

A

1:

32
Q

A number with the power of a negative number is

A

1 over the number to the power of the other number

33
Q

When using the quadratic formula what is thr quadratic form

A

Axsquared + bx + c

34
Q

What is the formula for completing the square

A

( x - a ) squared - whatever that is + b

35
Q

Steps for completing the square

A

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
Q

Sin 0

A

0

37
Q

Sin 30

A

Half

38
Q

Sin 45

A

Root 2 over 2

39
Q

Sin 60

A

Root 3 over 2

40
Q

Sin 90

A

1

41
Q

Cos 0

A

1

42
Q

Cos 30

A

Root 3 over 2

43
Q

Cos 45

A

Root 2 over 2

44
Q

Cos 60

A

Half

45
Q

Cos 90

A

Half

46
Q

Tan 0

A

0

47
Q

Tan 30

A

1 over root 3

48
Q

Tan 45

A

1

49
Q

Tan 60

A

Root 3

50
Q

What can’t you add densities or volumes

A

Densities

51
Q

Perpendicular means

A

Negative reciprocal

52
Q

Turning points of a graph

A

Y = a ( x - h ) sqaured + k
Hand k are turning points

Maths Gcse Flashcards (1 decks)

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