Maths Flashcards by Grace Beglan

Nano-

10^-9

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Micro-

10^-6

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Milli-

10^-3

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Centi-

10^-2

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Deci-

10^-1

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Kilo-

10^3

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Mega-

10^6

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Giga-

10^9

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Pressure

Force / area

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Finding a highest common factor

Multiply factors in both lists

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Finding a lowest common multiple

Multiply all factors, disregarding multiples

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Systematic listing strategies

If there are m ways of doing one task, and for each of these tasks there are n ways of doing another task, then the total number of ways the two tasks can be done is m x n ways

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Recurring decimals into fractions

Let x = blah
100x = 100 blah
And so on

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Upper and lower bounds

We can do this

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Percentage

Number of parts per hundred

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Expressing one quantity as a percentage of another

Number / total x100

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Express a quantity as a fraction of another…

…pips

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Original value

Let X = original

X x (1-discount in decimal) = new value

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Direct proportion

x α y

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Inverse proportion

x α 1/y

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What is the difference between an equation and an identity

Equation - states that two expressions are equal. You find the values for which the expression are equal (equations are not always true)

Identity - an equation which is always true, no matter what values are substituted (can be written with triple equals)

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Nth term

Un = a(n+1)d

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Subtended angles

An angle between an arc

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Angle rules

Corresponding (F) - equal
Alternate (Z) - equal
Supplementary (C) - add to 180

Sum of interior angles

N - 2 x 180

Sum of exterior angles

360

Congruence criteria for triangles

SSA, SSA, ASA, RHS

Circle theorems

1. Angle at the centre is twice that of the angle at the circumference 2. Angle in a semicircle is 90 3. Angles in the same segment are equal 4. Angel between a radius and a tangent is 90 5. Cyclic quadrilaterals add to 180 6. Alternate segment theorem

Alternate segments theorem

Angle between a chord and a tangent is equal to the one in the alternate segment

Area of a parallelogram

Base x vertical height

Volume of a cylinder

πr^2h

Sin(30)

1/2

Sin(45)

1/root 2

Sin(60)

Root 3 /2

Cos(30)

Root 3 /2

Cos(45)

1/ root 2

Cos(60)

1/2

Frequency density

Frequency / class width

Estimating range of grouped data...

As u would expect

Estimating mode of grouped data

Modal class

Estimating mean of grouped data

Sum of the (frequency x midpoint) divided by the frequency

Bivariate data

...

Mutually exclusive

...

Independence

...

Total surface area of a cylinder

2πrh + 2πr2

Relationships between proportion s

1) figure out the element you want to eliminate 2) multiply proportions to that it has the same index 3) eliminate and ignore constants

Total surface area of a cuboid

2lw x 2lh x 2wh

Triangles inside other shapes

Are they isocèles?

Circle theorems

Using algebra might help

Quadratic nth terms

Compare the quadratic sequence to the given sequence, in that order

Tan(30)

Root 3 over 3

Tan(60)

Root 3

Tan 45

DOTS for negative quadratics

(-x + a)(x + a)

If dividing powers from powers

You might be substracting à Negatice Write long-hand to avoid errors

If given 3 equations

1) variable that is the same in 2 and 3- get it in terms of variable 3 in the 2nd equation 2) sub this into first equation - gives first variable in terms of 3rd variable 3) sub everything into original equation

Changing signs

If you change all of the signs in a bracket, do not change the one in the outside too

Area of a parallelogram

Base x vertical height

Clocks

Observe whether you are counting the distance the hand has already travelled, or the distance it is yet to travel Draw a diagram to help