Maths Equations

Question 1

circumference of circle

Answer 1

2π r

Question 2

area of a circle

Answer 2

π r^2

Question 3

surface area of cuboid

Answer 3

2(bh+bl+hl)

Question 4

volume of cuboid

Answer 4

hbl

Question 5

mean

Answer 5

sum of all values / number of values

Question 6

percentage change

Answer 6

new - old / old x 100

Question 7

% yield

Answer 7

actual amount / theoretical amount x 100

Question 8

% error (uncertainty)

Answer 8

2 x absolute uncertainty / quantity measured x 100

Question 9

magnification

Answer 9

size of image / actual size of object

Question 10

Rf value

Answer 10

distance moved by solute / distance moved by solvent

Question 11

rate

Answer 11

change in quantity / time taken

Question 12

surface area to volume ratio

Answer 12

surface area / volume

Question 13

genetic biodiversity (proportion of polymorphic gene loci)

Answer 13

number of polymorphic gene loci / total number of loci

Question 14

cardiac output

Answer 14

heart rate x stroke volume

Question 15

respiratory quotient

Answer 15

CO2 produced / O2 consumed

Question 16

microorganism population growth

Answer 16

N = N0 x 2^n

Question 17

efficiency of biomass transfer

Answer 17

biomass transferred / biomass intake x 100

Question 18

temperature coefficient (Q10)

Answer 18

R2/R1 (rate at T +10º / rate at Tº)

Question 19

what do the symbols mean in

Answer 19

fo = observed value
fe = expected value
∑ = sum of

Question 20

what do the symbols mean in standard deviation?

Answer 20

∑ = sum of
x = each value in the population
x(with line on top) = population mean
n = size of population

Question 21

what do the letters mean in hardy-weinberg principle equation?

Answer 21

p^2 = dominant homozygous allele
q^2 = recessive homozygous allele
2pq = heterozygous allele

Question 22

what do the symbols mean in simpson’s index equation

Answer 22

n = number of organisms in one species
N = number of organisms in the whole population