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A GCSE Emergency Pack > Maths: Core Basics > Flashcards

Maths: Core Basics Flashcards

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1
Q

What’s a quadrilateral. What angles add up to

A

4 sides, angles add up to 360*

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2
Q

What are alternative angles

A

S or Z, equal

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3
Q

What are corresponding angles

A

F shaped, equal

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4
Q

What are co-interior angles

A

C, add to 180

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5
Q

Equation sum of interior angles

A

Sum of interior angles = (number of sides - 2) x 180

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6
Q

Interior + exterior angle

A

= 180

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7
Q

All exterior angles =

A

360*

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8
Q

Circle theorem for angles in same segment

A

They’re equal

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9
Q

Circle theorem for angles in cyclic quadrilateral

A

Opposite angles in cyclic quadrilateral add up to 180*

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10
Q

How do you work out HCF and LCM on venom diagram

A

HCF, multiply numbers in middle together

LCM, all numbers in diagram

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11
Q

a^m x a^n =

A

a^m + n

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12
Q

a^m / a^ n =

A

a ^ m-n

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13
Q

(a^m)^n =

A

a ^ mxn

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14
Q

a^ 1/m

A

m \/a

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15
Q

a^n/m

A

m \/a^n

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16
Q

a^-n

A

1/(a^n)

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17
Q

When you’re maniluplating decimals and the denominator increases by 10 what happens

A

Overall answer decreases by 10

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18
Q

When factorising expressions what do you do

A

Put highest common factor outside brackets

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19
Q

a^2 - b^2 =

A

(a-b)(a+b)

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20
Q

\/ab =

A

\/a \/b

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21
Q

Estimating you take each number to

A

1sf

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22
Q

Rationalise denominator means

A

Get rid of the surf on the denominator

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23
Q

Speed =

A

Distance / time

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24
Q

Density =

A

Density (g/cm^3) = mass / volume

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25
Q

Pressure =

A

Pressure (N/cm^2) = force / area

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26
Q

1m^2 = ?

A

100^2 cm^2 = 10000cm^2

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27
Q

y = mx+c meaning

A

M = gradient, y = y-intercept

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28
Q

What’s a parallelogram. What’s area of it

A

4 sided, 2 parallel sides

Base x perpendicular height = area

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29
Q

What’s rhombus

A

Rhombus = parallelogram with all sides same length

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30
Q

What’s trapezium, what’s area

A

Trapezium is 4 sided with 1 pair parallel lines

Area = ((parallel length + parallel length)/2) x height

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31
Q

How do work out fraction of an amount

A

Divide amount by denominator, times by numerator

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32
Q

What’s a sector

A

A slice of a circle, from the centre

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33
Q

AnB means

A

Both exist at same time; A and B

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34
Q

AuB means

A

A or B, both at once

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35
Q

A’ means

A

Everything not A

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36
Q

1ml = cm^3

A

1cm^3

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37
Q

1000ml = litres

A

1 litre

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38
Q

Volume of any pyramid

A

= 1/3 x area of base x height

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39
Q

How do you do compound interest

A

Original amount x percentage increase ^ years

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40
Q

What’s translation

A

Uses vector to describe movement

Top is move right left, bottom is move down up

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41
Q

Describe reflection

A

RElection in the line

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42
Q

Describe rotation

A

Angle of rotation, clockwise/anti clockwise, centre (x,x)

43
Q

Describe enlargement

A

With scale factor x. Centre (x,x)

44
Q

How do you write direct proportion

A

y fishy x

y = kx

45
Q

How write inverse proportion.

A

y fishy 1/x

Y=k/x

46
Q

What’s graph for direct proportion look like

A

Four line graph. From centre, line to top right

47
Q

What’s graph for direct proportion to square or cube look like

A

Four like graph. U shape, turning point in centre

48
Q

What’s graph for inverse proportion look like

A

Four line graph. In top right section, a curve not touching either line. bottom left section is reflection of this

49
Q

What’s graph for inverse proportion squared look like

A

Four line graph. Curve in top right section, not touching either line. This is reflected in top left

50
Q

What does direct proportion to the root look like

A

y fishy \/x

Y = k \/x

51
Q

What does inverse proportion to root look like

A

y fishy 1/ \/x

Y=k/ \/x

52
Q

What does graph for direct proportion to the root look like

A

Four line graph. From centre goes up a bit to the right in top right section, then sudden line to the right

53
Q

What does graph for inverse proportion to the root look like

A

A very slight curved line in top right section, doesn’t touch the lines. \ direction

54
Q

Interquartile range

A

Upper quartile - lower quartile

55
Q

How do you estimate mean from tables

A

Times along. Add up new total column, add up frequency. Total / frequency = mean

56
Q

Median position =

A

(Total frequency + 1) / 2

57
Q

LQ position =

A

(Freq + 1)/4

58
Q

UQ position =

A

(Freq + 1)/2 x 3

59
Q

In nth term rule, what does n stand for

A

The position in the sequence

60
Q

Nth term rule is 4n-2 for a linear sequence

What does this mean

A

+4 each time, -2 is the 0th position

61
Q

Nth term rule is 2n^2 - 2n+3 for a quadratic sequence, what does this mean

A

2n^2 is half the repeated difference

62
Q

What’s a Fibonacci sequence

A

Add previous 2 numbers to create next one

63
Q

What’s a arithmetic sequence

A

Goes up or down by constant difference

64
Q

What’s a quadratic sequence

A

2 sets of differences to get a repeated doffeeemcr

65
Q

What’s a geometric sequence

A

Multiply terms by ‘common ratio’ (same amount) each time

66
Q

On number lines, what does a filled in dot mean, what does non filled in mean

A

Filled in = it can equal it

Not filled in = it can’t equal it

67
Q

What happens when you multiply or divide an inequality by a negative

A

The inequality sign is flipped

68
Q

When solving inequalities graphically, what is the inequalities with the line under shown as, and what is > or < shown as

A

> or < use a dashed line, the other ones use a solid line

69
Q

On a graph for solving inequalities graphically, where will the section be when:
<
>

A

< will always be below

> will always be above

70
Q

Frequency density =

A

Frequency / class width

71
Q

How do you find frequency on a frequency density thing

A

It’s the area

72
Q

What’s stratified sampling

A

Sample has some proportions as the total population

73
Q

If a quadratic graph has a positive x^2 what does it look like? Negative x^2

A

Positive x^2 it’s a U

Negative x^2 it’s a n

74
Q

Complete square x^2 + 12 x

What’s this used for

A

(x+6)^2 - 36

Used to find turning point

75
Q

How do you write consecutive integers algebraically

A

n
n+1
n+2

76
Q

How do you an even number algebraically

A

2n

77
Q

How do you write an odd number algebraically

A

2n+1

78
Q

How do you write consecutive odd numbers algebraically

A

2n+1
2n+3
2n+5

79
Q

You’re writing two numbers that aren’t consecutive. How do you show this?

A

Change the letter

80
Q

What’s a product

A

Result of numbers multiplied together

81
Q

Give equation of a circle with curve 0,0

A

x^2 + y^2 = r^2

82
Q

What are you doing when you’re solving two simultaneous equations

A

Working out where the two /lines/ are at the same point on the graph

83
Q

What are congruent shapes

A

Identical in both shape and size, even if rotated or reflected

84
Q

What are the conditions for congruent triangles

A

Three sides same length, SSS
2 sids + angle inbetween same, SAS
2 angles + 1 side same, AAS
2 sided in a right angle same (1 is hypotenuse), RHS

85
Q

What’s bisects mean

A

Cuts in half

86
Q

What’s a vector

A

Labelled with single bold letters or with underlined letter. Describes overall movement

87
Q

What does it mean if it asks work out magnitude of vector a

A

The length of a

88
Q

When are vectors parallel

A

If one is a multiple of the other

89
Q

If y=f(x) drawn, what does f(x)+a do?

A

Up by a

90
Q

If y=f(x) drawn, what does f(x)-a do?

A

Down by a

91
Q

If y=f(x) drawn, what does f(x-a) do?

A

Right by a

92
Q

If y=f(x) drawn, what does -f(x) do?

A

Reflects in x axis

93
Q

If y=f(x) drawn, what does f(x+a) do?

A

Left by a

94
Q

If y=f(x) drawn, what does f(-x)do?

A

Reflects in y axis

95
Q

What are the coordinates for y= Sin x

A 
0,0
90,1
180,0
270,-1
360,0
96
Q

What are the coordinates for y= cos x

A 
0,1
90,0
180,-1
270,0
360,1
97
Q

What does the graph y=tan x have

A

Asymptotes

98
Q

Sine rule
What do the letters mean
How do you change it to work out an angle

A

a/Sin A = b/Sin B = c/Sin C
Capital letter is the inside angle, little is side
For angle, switch upper and lowercase letters

99
Q

Cosine rule

A

a^2 = b^2 + c^2 - 2bc x Cos A

100
Q

What’s a Loci

A

A path moved by a point as it follows a rule

101
Q

Give the values of Sin 0,30,45,60,90*

A 
0
1/2
(Square root 2)/2
(Square root 3)/2
1
102
Q

Give the values of cos 0,30,45,60,90*

A 
1
(Square root 3)/2
(Square root 2)/2
1/2
0
103
Q

Give the values of tan 0,30,45,60,90*

A 
0
(Square root 3)/3
1
(Square root 3)
No

A GCSE Emergency Pack (16 decks)

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