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Maths Formulas > Higher > Flashcards

Higher Flashcards

1
Q

Area of a rectangle

A

Base x Height

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2
Q

Area of a parallelogram

A

Base x Height

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3
Q

Area of a triangle

A

Base x height divided by 2

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4
Q

Area of a trapezium

A

Top add bottom divided by 2, times height.

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5
Q

The volume of a cuboid

A

Base x height x depth

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6
Q

Volume of a prism

A

Area of cross section x length

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7
Q

Volume of a cylinder

A

pi x (radius squared) x length

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8
Q

Circumference of a circle

A

pi x diameter

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9
Q

pythagoras

A

longest side squared equals the other two sides squared and added together

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10
Q

Sin (theta) =

A

opposite over hypotenuse

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11
Q

Cos(theta) =

A

adjacent over hypotenuse

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12
Q

Tan (theta) =

A

opposite over adjacent

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13
Q

Speed

A

distance over time

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14
Q

Density

A

Mass over volume

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15
Q

Pressure

A

Force over area

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16
Q

Volume of a pyramid

A

One third of the base times the height

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17
Q

Quadratic Equation

A

minus b, plus or minus the square root of b squared minus 4 times a times c all over 2 times a.

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18
Q

Sine rule (to find a length)

A

a over sine a = b over sine b

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19
Q

Sine rule for area of a triangle

A

half times a times b times sine C

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20
Q

Cosine rule to find a side

A

a squared equals b squared plus c squared minus 2 times b x c x cos A

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21
Q

Equation of a straight line

A

y = mx + c

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22
Q

How to find the gradient

A

change in y over change in x

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23
Q

tangent and a radius…

A

meet at a right angle

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24
Q

angle at the circumference equals…

A

…half the angle in the centre

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25
Q

opposite angles in a cyclic quadrilateral…

A

add to 180 degrees

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26
Q

the perpendicular bisector of a chord…

A

…passes through the center of the circle

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27
Q

tangents to a point

A

are equal

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28
Q

the angle in a semicircle equals
(Circle theorem)

A

a right angle!

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29
Q

proper name for ‘Z angles’

A

alternate angles

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30
Q

proper name for ‘C angles’

A

Supplementary or co-interior angles

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31
Q

Proper name for ‘F angles’

A

Corresponding angles

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32
Q

Compound interest

A

Original amount x decimal multiplier to the power of how long.

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33
Q

Area of a Sector

A

(Angle over 360) x pi x radius squared.

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34
Q

Arc length

A

(Angle over 360) x pi x diameter.

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35
Q

Surface area of a sphere

A

4 x pi x r squared

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36
Q

volume of a cone

A

1/3 x radius squared x pi x height

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37
Q

Curved surface area of a cone

A

pi x radius x length

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38
Q

Volume of a sphere

A

4/3 pi x radius cubed

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39
Q

Alternate angles…

A

Are equal

40
Q

Corresponding angles…

A

Are equal

41
Q

Co interior angles

A

Add to 180

42
Q

How do you find the mean?

A

Add them all together and divide by how many

43
Q

How do you find the median?

A

Put them in order and it’s the one in the middle.

44
Q

How do you find the mode?

A

It’s the one that appears the most.

45
Q

How do you find 10%

A

Divide by ten

46
Q

How do you find 1%

A

Divide by 100

47
Q

Y is directly proportional to x

A

y=kx

48
Q

y is inversely proportional to x

A

y=k/x

49
Q

Frequency density

A

Frequency/Class width

50
Q

If the transformation is in the brackets
ie F(x+2)

A

You do the change to the x coordinate.
And you do the opposite thing.

51
Q

If the transformation is out of the brackets.
ie F(x) + 2

A

You do the change to the y coordinate.

52
Q

The gradient of parallel lines….

A

are equal

53
Q

The gradients of perpendicular lines….

A

Multiply to make -1 (Are the negative reciprocal of each other)

54
Q

Sum of interior angles in a polygon

A

(number of sides - 2) times 180

55
Q

Sin 0

A

0

56
Q

Sin 30

A

1/2

57
Q

Sin 45

A

1 over root 2

root 2 over 2 (rationalised)

58
Q

Sin 60

A

root 3 over 2

59
Q

Sin 90

A

1

60
Q

Cos 0

A

1

61
Q

Cos 30

A

Root 3 over 2

62
Q

Cos 45

A

1 over root 2
or
root 2 over 2 (rationalised)

63
Q

cos 60

A

a half

64
Q

cos 90

A

0

65
Q

Tan 0

A

0

66
Q

Tan 30

A

1 over root 3
or
root 3 over 3

67
Q

Tan 45

A

1

68
Q

Tan 60

A

Root 3

69
Q

Tan 90

A

KABOOM!
You’ve just exploded the universe.
This answer doesn’t exist.

70
Q

What does the m stand for in y=mx+c?

A

The gradiant

71
Q

What does the c stand for in y=mx+c

A

Where the line cuts the y axis

72
Q

Y is directly proportional to X

A

y=kx

73
Q

Y is inversely proportional to X

A

y=k/x

74
Q

Cosine rule to find an angle

A

CosA = (b squared + c squared - a squared) all over 2bc

75
Q

Anything to the power of 0

A

1

76
Q

1 squared

A

1

77
Q

2 squared

A

4

78
Q

3 squared

A

9

79
Q

4 squared

A

16

80
Q

5 Squared

A

25

81
Q

6 squared

A

36

82
Q

7 squared

A

49

83
Q

8 squared

A

64

84
Q

9 Squared

A

81

85
Q

10 Squared

A

100

86
Q

11 Squared

A

121

87
Q

12 Squared

A

144

88
Q

1 cubed

A

1

89
Q

2 cubed

A

8

90
Q

3 cubed

A

27

91
Q

4 cubed

A

64

92
Q

5 cubed

A

125

93
Q

10 cubed

A

1000

94
Q

A U B

A

Everything in all of A and all of B and the middle

95
Q

A n B

A

The bit in the middle.

96
Q

What is the range?

A

The biggest number take away the smallest.

97
Q

What are the three equations needed to solve a quadratic sequence?

A

a+b+c
3a+b
2a

Maths Formulas (15 decks)

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