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maths formula > maths eassessment > Flashcards

maths eassessment Flashcards

1
Q

what r the 4 types of sampling

A

simple random, systematic, stratified, quota

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2
Q

what is a simple random sampling

A

sampel where eahc member of the population is equally likely to be included in the sample

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3
Q

what is a systematic sample

A

takes members of the population at regular intervals

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4
Q

whats is stratified sampling

A

identifies different sections of the population and ensures that those groups r represented in appropriate proportions

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5
Q

what is a quota sample

A

when the sampling frame is unknown so enough data is collected until enough pieces of data is found.

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6
Q

when does a quadratic have a repeated real number solution

A

when b^2-4ac=0

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7
Q

when is a quadratic factorizable

A

when b^2-4ac>0

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8
Q

when is a quadratic not factorizable

A

when b^2-4ac<0

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9
Q

how much of a population is within 1 standard deviation in a normal distribution

A

68%

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10
Q

how much of a population is within 2 standard deviation in a normal distribution

A

95

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11
Q

how much of a population is within 3 standard deviation in a normal distribution

A

99.7%

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12
Q

what is a sector

A

a triangle with a curved side inside the circle

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13
Q

what is a segment

A

part of a triangle separated by a chord

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14
Q

list all 7 circle theorems

A

thales theorem: an angle inscribed in a semicricle is a right angle
opposite angles in a cyclic quadrilateral r supplementary
angles in the same segment subtended by equal chords r equal in size
alternate segment theorem (the triangle thing): angle between a chord and tangent at a point is equal to the angle subtended by the chord in the alternate segment
angle subtended by a chord at the center is twice the angle at the circumference.
intersecting chords theorem (AX * BX = CX * DX)
Tangent chord theorem (PX * QX = TX^2)

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15
Q

list the 5 rules for triangle congruency

A

sss, sas, asa, aas, rhs

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16
Q

list 3 rules for similarity

A

SAS (scale factor)
SSS (Scale factor)
AA

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17
Q

how to complete the square

A

add (b/2)^2

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18
Q

how to find x coordinate of vertex

A

-b/2a

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19
Q

density formula

A

mass/volume

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20
Q

what is degree of a vertex

A

no. of edges leaving a vertex

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21
Q

does a loop count as 1 or two vertex

A

2

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22
Q

when is a graph complete

A

when every vertex is directly connected directly to everyother vertex by an edge

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23
Q

when is a graph connected

A

if every point on the graph can be reached from any other point on the graph

24
Q

what is a walk

A

any route through a graph (edges and vertex can be repeated)

25
Q

what is a trail

A

a walk but edges cant be repeated

26
Q

what is a circuit

A

a trail which starts and end at the same vertex

27
Q

what is a path

A

a route through a graph from one vertex to another which does not repeat any vertices or edges

28
Q

what is a cycle

A

a path which starts and ends at the same vertex

29
Q

what is a traversable graph

A

if u can draw it without taking ur pen off the paper or retracing ur steps

30
Q

when can a graph be traversable

A

if it only has even vertices or exactly 2 odd vertices

31
Q

what is an eulerian circuit

A

a connected graph with only even vertices, it can be traversed starting from any point and it well end where it started, it therefore has an eulierian trail

32
Q

what is an eulerian trail

A

a connected graph with 2 odd vertices makes it so that any trail which traverses the graph starts at one odd vertex and ends at the other therefore it has an eulerian trail.

33
Q

list another name for a eulerian trail

A

eulerian path or semi eulerian graph

34
Q

what is an hamiltonian path

A

path which travels thru every vertex exactly once

35
Q

what is an hamiltonian cycle

A

a path which travels thru every vertex exactly once and returns to its original point

36
Q

formula for hamiltonian cycles of a complete graph with n vertices

A

((n-1)!)/2

37
Q

gradient of perpendicular lines

A

-1/m or negative reciprocal

38
Q

gradients of parallel lines

A

same

39
Q

4 parallel line rules

A

alternate interior angles r equal
alternate exterior angles r equal
corresponding angles r equal
consecutive interior angles r supplemetary

40
Q

equation of a line

A

y=mx+c

41
Q

gradient formula

A

(y2-y1)/x2-x1

42
Q

properties of rhombus (sides, angles, diagonal

A
  • all 4 sides r equal
  • opposite angles r equal
  • diagonals meet at 90
  • diagonals bisect each other
43
Q

properties of kite (angles, sides, diagonals

A

bottom two sides r equal and top 2 r equal
diagonals

vertical (long) diagonal is perpendicular bisector of horizontal (short) one.

long diagonal bisects the angles

44
Q

properties of parallelogram

A

opposite sides r parallel and equal
opposite angles r equal

45
Q

properties of isosceles trapezoid

A

non base angles r congruent
non base sides r congruent
base sides r parallel

46
Q

angle in regular hexagon

A

120

47
Q

angle in regular pentagon

A

108

48
Q

arithmetic series primary formula

A

(n(u1+un))/2

49
Q

arithmetic series secondary formula

A

(n/2) * (2a+(n-1)d)

50
Q

geometric series formulas

A

a * (r^n -1)/(r-1) when r>1 or r<-1
a * (1-r^n )/(1-r) when absolute value of r is lesser than one

51
Q

sum to infinity for geometric series when absolute value of r is lesser than one

A

a/(1-r)

52
Q

state 2 uses of static electricity

A

insecticides
photocopier

53
Q

what is the direction of conventional current

A

positive to negative

54
Q

current formula

A

I = change in charge/time

55
Q

voltage formula with energy

A

energy transferred/charge moved

56
Q

what is resistance

A

tendency of a material to resist the flow of electric charge, unit is ohm

57
Q

what is voltage

A

differ

maths formula (1 decks)

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