General Flashcards

1
Q

Area of a circle

A

A = PIE x R*2

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2
Q

Area of a Parallelogram

A

A = bh

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3
Q

Area of a trapezium

A

Half the sum of the parallel sides times the distance between them.

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4
Q

Length of an arc

A

Angle/360 x PIE d

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5
Q

Area of a sector

A

Angle/360 PIE r*2

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6
Q

Inequalities on a number line - Open circle means…

A

< or > - not equal to

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7
Q

Inequalities on a number line - Closed circle means…

A

or >/ - or equal to

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8
Q

Estimate probability =

A

number of successful trials / total number of trials

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9
Q

Two shapes are similar if…

A

they are enlargements of each other. Corresponding sides will have a common scale factor called the length scale factor. If the angles in both of the shapes are the same then they are also similar.

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10
Q

Pie chart symbol - E

A

Is an element of

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11
Q

Pie chart symbol - P

A

probability of

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12
Q

Pie chart symbol - C

A

is a subset of

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13
Q

what does this mean: P(A n B)

A

Probability of a number being in A and B

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14
Q

Pie chart symbol - I

A

given that… (the Pie chart symbol - Probability of attending spinning given that they attended circuits)

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15
Q

How to find the gradient of a line

A

y2 - y1 / x2 - x1

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16
Q

How to find the midpoint of the line

A

x2+x1 /2 , y2+y1 /2

17
Q

What do perpendicular lines have in common?

A

the product of their gradients is always -1

18
Q

Anything to the power of zero =

A

1

19
Q

how to simplify

16-4 / 81

A

They both have to have the same base number
(24)-4 / (23)1
2*-19

20
Q

What happens if something is to the power of a half

A

Square root it

21
Q

Powers of m/n (fractions)

A

(n*root of number) to the power of m

22
Q

Powers of -n

A

1/number*n

one over number to the power of n

23
Q

percentage change =

A

new / old

24
Q

How to find the length of the line joining two coordinates

A

(x2 - x1)^2 + (y2 - y1)^2

25
Q

what circle theorem would you use when you are given two radii joined at the centre and two chords joined at the circumference

A

Angle at the centre of a circle is twice the angle at the circumference, both subtended by the same arc

26
Q

what circle theorem would you use when given a triangle whose base length is the diameter

A

The angle in a semicircle is a right angle

27
Q

what circle theorem would you use when many of the bases of triangles are joined in the same place

A

Angles in the same segment are equal

28
Q

what angle theorem would you use when there is a square with all four points inside the circle

A

Opposite angles of a cyclic quadrilateral add up to 180*

cyclic quadrilateral = all vertices lie on the line

29
Q

what circle theorem would you use when given a tangent and a radius

A

The angle between a tangent and a radius of a circle is 90*

30
Q

what circle theorem would you use when given two tangents joined outside the circle

A

Tangents to a circle from a point outside the circle are equal in length

31
Q

what circle theorem would you use when there is a tangent and three connected chords

A

The angle between a tangent and a chord is equal to the angle in the alternate segment

32
Q

What does U mean in pie charts

A

Union - everything inside the circles

33
Q

what does n mean in pie charts

A

Intersection - everything in the joins

34
Q

What does the circle with a line through it mean in pie charts

A

empty set

35
Q

What does A’ mean in pie charts

A

not A

36
Q

to draw a cumulative frequency graph from and inequality table where would you plot the first point

A

from the highest number of the inequality

eg 15<a></a>

37
Q

when would you need to use a dotted line on a graphical inequality graph

A

when the line is not equal to

eg x < 1

38
Q

how to calculate compound interest

eg £9000 with aa compound interest of 1.8% for 3 years

A

(1.018)^3 x 9000

39
Q

Formula for volume of a pyramid

A

(Base width x base length x perpendicular height) / 3