maths eassessment

Question 1

what r the 4 types of sampling

Answer 1

simple random, systematic, stratified, quota

Question 2

what is a simple random sampling

Answer 2

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

Question 3

what is a systematic sample

Answer 3

takes members of the population at regular intervals

Question 4

whats is stratified sampling

Answer 4

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

Question 5

what is a quota sample

Answer 5

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

Question 6

when does a quadratic have a repeated real number solution

Answer 6

when b^2-4ac=0

Question 7

when is a quadratic factorizable

Answer 7

when b^2-4ac>0

Question 8

when is a quadratic not factorizable

Answer 8

when b^2-4ac<0

Question 9

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

Answer 9

68%

Question 10

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

Answer 10

95

Question 11

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

Answer 11

99.7%

Question 12

what is a sector

Answer 12

a triangle with a curved side inside the circle

Question 13

what is a segment

Answer 13

part of a triangle separated by a chord

Question 14

list all 7 circle theorems

Answer 14

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)

Question 15

list the 5 rules for triangle congruency

Answer 15

sss, sas, asa, aas, rhs

Question 16

list 3 rules for similarity

Answer 16

SAS (scale factor)
SSS (Scale factor)
AA

Question 17

how to complete the square

Answer 17

add (b/2)^2

Question 18

how to find x coordinate of vertex

Answer 18

-b/2a

Question 19

density formula

Answer 19

mass/volume

Question 20

what is degree of a vertex

Answer 20

no. of edges leaving a vertex

Question 21

does a loop count as 1 or two vertex

Answer 21

2

Question 22

when is a graph complete

Answer 22

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

Question 23

when is a graph connected

Answer 23

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

Question 24

what is a walk

Answer 24

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

Question 25

what is a trail

Answer 25

a walk but edges cant be repeated

Question 26

what is a circuit

Answer 26

a trail which starts and end at the same vertex

Question 27

what is a path

Answer 27

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

Question 28

what is a cycle

Answer 28

a path which starts and ends at the same vertex

Question 29

what is a traversable graph

Answer 29

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

Question 30

when can a graph be traversable

Answer 30

if it only has even vertices or exactly 2 odd vertices

Question 31

what is an eulerian circuit

Answer 31

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

Question 32

what is an eulerian trail

Answer 32

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.

Question 33

list another name for a eulerian trail

Answer 33

eulerian path or semi eulerian graph

Question 34

what is an hamiltonian path

Answer 34

path which travels thru every vertex exactly once

Question 35

what is an hamiltonian cycle

Answer 35

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

Question 36

formula for hamiltonian cycles of a complete graph with n vertices

Answer 36

((n-1)!)/2

Question 37

gradient of perpendicular lines

Answer 37

-1/m or negative reciprocal

Question 38

gradients of parallel lines

Answer 38

same

Question 39

4 parallel line rules

Answer 39

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

Question 40

equation of a line

Answer 40

y=mx+c

Question 41

gradient formula

Answer 41

(y2-y1)/x2-x1

Question 42

properties of rhombus (sides, angles, diagonal

Answer 42

- all 4 sides r equal - opposite angles r equal - diagonals meet at 90 - diagonals bisect each other

Question 43

properties of kite (angles, sides, diagonals

Answer 43

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

Question 44

properties of parallelogram

Answer 44

opposite sides r parallel and equal opposite angles r equal

Question 45

properties of isosceles trapezoid

Answer 45

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

Question 46

angle in regular hexagon

Answer 46

120

Question 47

angle in regular pentagon

Answer 47

108

Question 48

arithmetic series primary formula

Answer 48

(n(u1+un))/2

Question 49

arithmetic series secondary formula

Answer 49

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

Question 50

geometric series formulas

Answer 50

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

Question 51

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

Answer 51

a/(1-r)

Question 52

state 2 uses of static electricity

Answer 52

insecticides photocopier

Question 53

what is the direction of conventional current

Answer 53

positive to negative

Question 54

current formula

Answer 54

I = change in charge/time

Question 55

voltage formula with energy

Answer 55

energy transferred/charge moved

Question 56

what is resistance

Answer 56

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

Question 57

what is voltage

Answer 57

differ