Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Maths GCSE > GCSE > Flashcards

GCSE Flashcards

You may prefer our related Brainscape-certified flashcards:
GCSE Geography - AQA flashcards GCSE Religious Studies - Edexcel Route B flashcards GCSE Religious Studies - Eduqas Route A flashcards GCSE Religious Studies - Edexcel Route A flashcards GCSE Religious Studies - Eduqas Route B flashcards
1
Q

Area of a parallelogram

A

Base x perpendicular height

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Area of a trapezium

A

1/2 (a + b) x h, half the sum of the parallel sides times the distance between them

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Area of kite

A

Width x height / 2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Area of circle

A

Pi r squared

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Circumference of circle

A

2 x pi x r

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Area of sector

A

Theta / 360 x pi x r squared

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Length of an arc

A

Theta / 360 x 2 x pi x r

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Volume of prism

A

Area of cross section x length

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Volume of pyramid

A

1/3 x base area x height

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Volume of a cone

A

1/3 x pi r squared x h

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Volume of sphere

A

4/3 x pi r cubed

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Volume of frustum

A

Vol of A - vol of B

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Curved surface area of a cone

A

Pi x r x l, to find l, l = h squared + r squared

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Surface area of sphere

A

4 x pi r squared

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

What is the nth term for arithmetic sequences?

A

An + b

A being the common difference
n being the position
b being the zero term

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is the nth term for quadratic sequences

A

an squared + bn + c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

What is the nth term for geometric sequences

A

a x r to the n - 1

a being the first term
r being the common ratio
n being position

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

How do you calculate the median position?

A

n + 1 / 2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

How do you find the lower quartile?

A

n + 1 / 4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

How do you calculate the upper quartile?

A

3(n + 1) / 4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

What is the formula for suitable degree of accuracy?

A

M = square root of s / t

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

How do you do suitable degree of accuracy?

A

1) calculate the lower bound for the answer
2) calculate the upper bound for the answer
3) choose the accurate value that both bounds round to

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

In corresponding angles…

A

They are equal ( F shape)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

In alternate angles….

A

They are equal ( Z shape)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

In co-interior angles…

A

The angles add to 180° (c shape)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

What must you remember for bearings?

A

3 DIGITS, eg. 005°

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

What is estimation

A

Rounding to 1 sf

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

Pressure =

A

Force / area FAP

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

Density =

A

mass / volume MVD

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

Speed =

A

Distance / time DST

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

What is conditional probability?

A

The probably of subsequent events depends on previous events occurring

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

What is the probability of b given a

A

P ( B | A )

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

P(not A)

A

1 - P (A)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
34
Q

P (A or B)

A

P(A) + P(B)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
35
Q

What is A n B

A

A intersection B = A and B = where’s you ge hashing

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
36
Q

A u B

A

A union B = A or B = everything in the circles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
37
Q

A ‘

A

A complement = Not A

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
38
Q

What is translation?

A

Slide

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
39
Q

What is enlargement?

A

Change in size, centre of enlargement, scale factor

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
40
Q

Acceleration =

A

Final velocity - initial velocity / time

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
41
Q

What is capture- recapture

A

N = Mn/m

M = number of fish caught then released
n = size of recapture sample
m= number of fish in second capture
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
42
Q

What is the formula for direct proportion?

A

y = kx

k is the constant of proportionality

43
Q

What is the formula for inverse proportion?

A

y Jesus fish 1/x

y = k/x

44
Q

y is directly proportional to the square of x

A

y = kx squared

y fish x squared

45
Q

Y is directly proportional to the cube of x

A

y fish x cubed

y = kx cubed

46
Q

Y is directly proportional to the square root of x

A

y fish root x

y = k root x

47
Q

y is inversely proportional to the square of x

A

y fish 1/x squared

y = k/x squared

48
Q

Formula for sampling

A

Sample size / population size x number he chooses to sample

49
Q

How do you do cumulative frequency curves?

A

1) find cumulative frequency
2) Plot points at the upper end of each group
3) Find the UQ , LQ and median

50
Q

How do you calculate frequency for histograms?

A

Frequency = F.D x width

51
Q

What is an equation

A

It can be solved

52
Q

What is an expression

A

Terms without an equals sign

53
Q

What is a formula

A

An algebraic rule we substitute numbers into

54
Q

How do you find the area of a triangle

A

1/2 x a x b x sinC

55
Q

How do you find the height of a triangle

A

a x sinC

56
Q

What is the sine rule for finding missing lengths

A

a / sin a = b / sin b = c / sin c

57
Q

What is the sine rule for finding missing angles

A

Sin a / a = sin b / b = sin c / c

58
Q

What is the cosine rule for finding missing sides

A

a squared = b squared + c squared - 2 x b x c x CosA

59
Q

What is the cosine rule for finding missing angles

A

cosA = b squared + c squared - a squared / 2 x b x c

60
Q

What does a positive and negative quadratic graph look like?

A 
Positive = smile 
Negative = sad face
61
Q

What does a positive and negative reciprocal graph look like

A

Negative gradient in a quadrat

62
Q

What does a positive and negative cubic graph look like

A

p- Up and down and up

n- Down and up and down

63
Q

What does an exponential graph look like?

A

Curve up but never touches 0

64
Q

How do you do the upper bound and lower bound for dividing?

A 
UB = UB / LB
LB = LB / UB
65
Q

How do you find either sin, cos or tan 30, 60

A

Draw out equilateral triangle and cut it in half, shortest side is 1, hyp is 2

66
Q

How do you find sin cos tan 45?

A

Draw out isosceles, angles are 90, 45 and 45, two sides of 1 as equal and shortest

67
Q

What is the probability of b given a? (Conditional probability)

A

P ( A n B ) / P (A)

68
Q

Surface area of a cylinder

A

2 pi r squared + 2 x pi x r x l

69
Q

How do you do frequency polygons?

A
  • plot in middle of the group

- straight lines joining points

70
Q

How do you find the y intercept of a quadratic graph

A

y = ax squared + bx + c

It is the c part of the equation

71
Q

What is a positive quadratic and negative quadratic in terms of minimum and maximum points?

A

Positive- minimum, no maximum

Negative- no minimum, maximum

72
Q

What is the quadratic formula?

A
  • b +/- root b squared - 4 x a x c

Divided by 2a

73
Q

How do you complete the square?

A

Half the ax value and then put that in the bracket. Then find the negative square of that number and then add or minus the c part of the equation

74
Q

How would you complete the square if there was a number in front of the x squared?

A

Take the number out to make it x squared
At the end times everything by the numbers except from the. (x +2) part but still keep the number outside of the brackets

75
Q

How do you solve fractional equations?

A

Treat like a normal addition or subtraction and put everything with a common denominator, including the answer

76
Q

How do you find the x and y intercept of a graph

A

Y intercept = make x equal 0

X intercept = make y equal 0

77
Q

How do you find the equation of the line of symmetry in a quadratic graph?

A

Go down the vertex

78
Q

How do you find the x and y coordinate of the vertex from completing the square?

A

Y coordinate = make it an x squared + bx + c equation and it’ll be the c value
X coordinate = factorise it into two brackets and it is the x value

79
Q

What happens when the graph y = x squared turns into y = (x + 1) squared?

A

It translates 1 to the left

80
Q

What happens when the graph y = x squared turns into y = (x - 2) squared?

A

It goes right 2

81
Q

What happens when the graph y = x squared turns into y = x squared + 3?

A

It goes up 3

82
Q

What happens when the graph y = x squared turns into y = x squared - 2 ?

A

It goes down 2

83
Q

How do you find the line of symmetry in completing the square?

A

a ( x + p ) squared + q

It is -p

84
Q

How do you find the volume of a cone?

A

1/3 x pi x r squared x h

85
Q

How do you find the volume of a sphere?

A

4/3 x pi x r cubed

86
Q

How do you find the volume of a pyramid?

A

1/3 x base area x height

87
Q

How do you find the curved surface area of a cone?

A

Pi x r x l

88
Q

How do you find the surface area of a sphere?

A

4 x pi x r squared

89
Q

What is the expression for an even number

A

2n

90
Q

What is the expression for an odd number

A

2n + 1

91
Q

What is the expression for a multiple of 3?

A

3n

92
Q

What is the expression for a different odd number

A

Instead of 2n + 1 it is 2p + 1

93
Q

What is the expression for a different even number

A

Instead of 2n it is 2p

94
Q

What is the expression for a different multiple of 3

A

Instead of 3n it is 3p

95
Q

What is the equation of a circle?

A

x squared + y squared = r squared

96
Q

How would you solve gf(x)

A

Put the f into the g

97
Q

What are the steps to finding the inverse function

A

1) replace f(x) with y
2) trade x and y places
3) make y the subject of the formula
4) y = inverse function of x

98
Q

How do you do the transformations of graphs using functions?

A

When the number is in the brackets it goes left or right

When the number is out of the brackets it goes up or down

99
Q

What happens in -f (x)

A

Reflect in the x axis

Make the y coordinate negative

100
Q

What happens in y = f(-x)

A

Reflected on the y axis

Make the x coordinate negative

101
Q

What does the sin graph look like?

A

Goes through x axis at 0, 180 and 360. It goes up then down then up

102
Q

What does the cos graph look like?

A

Goes through the x axis at 90, 270 and 360. Goes up down up down.

103
Q

Volume of cylinder

A

Pi r squared x height

104
Q

What is the point where an exponential graph always crosses the y axis?

A

(0,1)

Maths GCSE (4 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions