MATHS FORMULAE

Question 1

Circumference of circle

Answer 1

circumference = 2πr

Question 2

Area of circle

Answer 2

πr 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

Question 6

percentage change =

Answer 6

Question 7

% yield =

Answer 7

Question 8

% error (uncertainty)

Answer 8

Question 9

magnification

Answer 9

Question 10

Rf

Answer 10

Question 11

rate =

Answer 11

Question 12

(Surface Area to Volume ratio )
ratio =

Answer 12

Question 13

proportion of polymorphic gene loci

Answer 13

Question 14

cardiac output =

Answer 14

heart rate × stroke volume

Question 15

Respiratory quotient RQ

Answer 15

Question 16

Microorganism population growth
N =

Answer 16

Question 17

Efficiency of biomass transfers
efficiency=

Answer 17

Question 18

Temperature coefficient (Q10)

Answer 18

Question 19

Student’s t-test – Unpaired

Answer 19

Question 20

Student’s t-test – Paired

Answer 20

Question 21

Chi squared

Answer 21

Question 22

Spearman’s Rank Correlation Coefficient

Answer 22

Question 23

Standard Deviation

Answer 23

Question 24

Sd = Standard deviation (difference).

Answer 24

Question 25

The Hardy-Weinberg Equations

Answer 25

Question 26

Simpson’s Index

Answer 26

Question 27

multiplicative rule

Answer 27

Question 28

division rule

Answer 28

Question 29

power rule

Answer 29

Question 30

reciprocal rule

Answer 30

Question 31

root rule

Answer 31

Question 32

In mathematical terms, this graph can be expressed as:
y=

Answer 32

mx +c
m is the gradient of the graph, and c is the value of the intercept on the y-axis.

Question 33

A graph showing a horizontal line parallel to the x-axis shows that the variable plotted on the y-axis is independent of the variable plotted on the x-axis. In mathematical terms, this relationship can be expressed as

Answer 33

Question 34

A non-horizontal straight line shows that the variable plotted on the y-axis is proportional to the variable plotted on the x-axis, or

Answer 34

y∝x

In mathematical terms, this graph can be expressed as: y=mx +c

Question 35

A curved graph that passes through the origin indicates that the variable plotted on the y-axis is proportional to a power of the variable plotted on the x-axis that is greater than 1, or

Answer 35

y∝x^n wheren>1

Question 36

Logarithms are basically powers. If we take the following calculation: 10^2 = 100

Answer 36

this can be expressed as
the power of 10 that gives 100 is 2
or in formal notation log10 100 = 2
and we usually drop the 10 as it is assumed to be base 10 unless stated otherwise: log 100 = 2

Question 37

Water Potential

Answer 37

Question 38

Simpson’s Index of Diversity states:

Answer 38