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NSAA > Maths > Flashcards

Maths Flashcards

1
Q

Nano-

A

10^-9

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2
Q

Micro-

A

10^-6

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3
Q

Milli-

A

10^-3

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4
Q

Centi-

A

10^-2

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5
Q

Deci-

A

10^-1

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6
Q

Kilo-

A

10^3

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7
Q

Mega-

A

10^6

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8
Q

Giga-

A

10^9

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9
Q

Pressure

A

Force / area

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10
Q

Finding a highest common factor

A

Multiply factors in both lists

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11
Q

Finding a lowest common multiple

A

Multiply all factors, disregarding multiples

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12
Q

Systematic listing strategies

A

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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13
Q

Recurring decimals into fractions

A

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

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14
Q

Upper and lower bounds

A

We can do this

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15
Q

Percentage

A

Number of parts per hundred

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16
Q

Expressing one quantity as a percentage of another

A

Number / total x100

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17
Q

Express a quantity as a fraction of another…

A

…pips

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18
Q

Original value

A

Let X = original

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

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19
Q

Direct proportion

A

x α y

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20
Q

Inverse proportion

A

x α 1/y

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21
Q

What is the difference between an equation and an identity

A

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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22
Q

Nth term

A

Un = a(n+1)d

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23
Q

Subtended angles

A

An angle between an arc

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24
Q

Angle rules

A

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

25
Q

Sum of interior angles

A

N - 2 x 180

26
Q

Sum of exterior angles

A

360

27
Q

Congruence criteria for triangles

A

SSA, SSA, ASA, RHS

28
Q

Circle theorems

A
  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
29
Q

Alternate segments theorem

A

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

30
Q

Area of a parallelogram

A

Base x vertical height

31
Q

Volume of a cylinder

A

πr^2h

32
Q

Sin(30)

A

1/2

33
Q

Sin(45)

A

1/root 2

34
Q

Sin(60)

A

Root 3 /2

35
Q

Cos(30)

A

Root 3 /2

36
Q

Cos(45)

A

1/ root 2

37
Q

Cos(60)

A

1/2

38
Q

Frequency density

A

Frequency / class width

39
Q

Estimating range of grouped data…

A

As u would expect

40
Q

Estimating mode of grouped data

A

Modal class

41
Q

Estimating mean of grouped data

A

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

42
Q

Bivariate data

A

…

43
Q

Mutually exclusive

A

…

44
Q

Independence

A

…

45
Q

Total surface area of a cylinder

A

2πrh + 2πr2

46
Q

Relationships between proportion s

A

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

47
Q

Total surface area of a cuboid

A

2lw x 2lh x 2wh

48
Q

Triangles inside other shapes

A

Are they isocèles?

49
Q

Circle theorems

A

Using algebra might help

50
Q

Quadratic nth terms

A

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

51
Q

Tan(30)

A

Root 3 over 3

52
Q

Tan(60)

A

Root 3

53
Q

Tan 45

A

1

54
Q

DOTS for negative quadratics

A

(-x + a)(x + a)

55
Q

If dividing powers from powers

A

You might be substracting à Negatice

Write long-hand to avoid errors

56
Q

If given 3 equations

A

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

57
Q

Changing signs

A

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

58
Q

Area of a parallelogram

A

Base x vertical height

59
Q

Clocks

A

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

NSAA (6 decks)

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