maths N5

Question 1

what is the linear scale factor

Answer 1

LSF = new length
—————
original length

Question 2

what is the area scale factor

Answer 2

( new ) 2
—-
old

Question 3

what is volume scale factor

Answer 3

new
( —— ) 3
old

Question 4

what are the features of y = sinx

Answer 4

• maximum of 1 at 90 degrees
• minimum of -1 at 279 degrees
• amplitude of 1
• period of 360 degrees

Question 5

what are the features of y = cosx

Answer 5

• maximum of 1 at 0 degrees and 360 degrees
• minimum of -1 at 180 degrees
• amplitude of 1
• period of 360 degrees

Question 6

features of y = tanx

Answer 6

• undefined at 90 degrees and 270 degrees
• no maximum or minimum
• period of 360 degrees

Question 7

what is b

Answer 7

No. of waves between 0* and 360*

Question 8

what is a

Answer 8

amplitude

Question 9

what does c mean in trig graphs

Answer 9

the shift up or down

Question 10

what does n mean in standard deviation

Answer 10

no. if scores

Question 11

what does x mean in standard deviation

Answer 11

mean

Question 12

i gay does the size of the standard deviation mean

Answer 12

the smaller the deviation is the more tightly grouped the data is = the data is more consistent

and the opposite applys

Question 13

whsy is the phase angle

Answer 13

the amount a graph has been shifted to the right or left

Question 14

what is the upper quartile range

Answer 14

the median of the upper half Q3

Question 15

what is the lower quartile

Answer 15

the median of the lower half Q1

Question 16

what is the sum of interior angles

Answer 16

(n-2) x 180

Question 17

what is the sum of the exterior angle

Answer 17

360 divided by n

Question 18

what is the sum for interior angle

Answer 18

180 - exterior angle

Question 19

what is the sine rule for sides

Answer 19

a b c
—— = —— = ——
sinA sinB sinC

Question 20

what is the sine rules for angles

Answer 20

sinA sinB sinC
—— = —— = ——
a b c

Question 21

what is the cosine rule for sides

Answer 21

a2 = b2 + c2 - 2bcosA

Question 22

what is the cosine rules for missing angles

Answer 22

b2 + c2 - a2
cosA = ———————
2bc

Question 23

how do you calculate a % increase

Answer 23

difference
————— = 100
original

Question 24

how do you calculate compound interest

Answer 24

calculate multiple (100-+%)
quantity x multiplier
round appropriately

Question 25

how do you factorise trinomials

Answer 25

what multiplies to give the last term

what adds to give the middle term

Question 26

how do you calculate volume of a cylinder

Answer 26

pir2h

Question 27

how do you calculate the volume of a sphere

Answer 27

4/3pir3

Question 28

how do you add and subtract common denominator

Answer 28

kiss -> crops multiply
smile -> multiply denominators
add/ subtract numerators and simplify

Question 29

what is the nature of the roots if the discriminant is greater than 0

Answer 29

2 real and distinct roots

Question 30

what is the nature of the roots of the discriminant = 0

Answer 30

2 real + equal roots

Question 31

what is the nature of the roots if the discriminant is less than 0

Answer 31

no real roots