Maths Skills

Question 1

What is 1mm in um?

Answer 1

1,000 um

Question 2

What is 1m in mm?

Answer 2

1,000 mm

Question 3

A section of a quadrat is 10 x 10cm, calculate it’s area in mm.

Answer 3

10cm = 100mm

100 x 100 = 10,000mm^2

Question 4

a box is 1cm^3 calculate it’s volume in a) mm and b) um

Answer 4

a) 1cm=10mm
10^3 = 1,000mm^3
b) 10mm = 10,000 um
10,000^3 = 1x10^12

Question 5

what is a rate?

Answer 5

quantity per unit time

Question 6

ratios

Answer 6

used to compare the relative quantity of two or more things

Question 7

What is the equation for volume of a sphere?

Answer 7

4/3 x π x r^3

Question 8

What is the equation for the SA of sphere?

Answer 8

4 x π x r^2

Question 9

How do we calculate % change

Answer 9

difference / start value

Question 10

what would be the value of y = 2.85 on a log10 scale?

Answer 10

10^2.85 = 707.9

Question 11

If a bacteria divides every 20 mins, how many bacteria would there be after 11 hours?

Answer 11

60/20 = 3 divisions an hour
3 x 11 = 33 divisions total
2^33 = 8 589 934 592

Question 12

what is random sampling?

Answer 12

record samples at random locations to get an unbiased subset of a whole population/area

Question 13

systematic sampling

Answer 13

sample locations are chosen by scientist eg) line transect

Question 14

how many dp do we keep when adding?

Answer 14

all

eg) 6.549+4.12+2.1 = 12.769

Question 15

how many dp do we keep when multiplying or dividing?

Answer 15

keep to the lowest level of accuracy in the question

Question 16

What is the magnitude?

Answer 16

the amount by which an object has been made bigger

Question 17

what is resolution?

Answer 17

the shortest distance between two points that can be seen

Question 18

what is the Order of Magnitude equation?

Answer 18

I = A x M 
I = image
A= actual
M = magnification

Question 19

What does it mean when the the results are more than the critical value at a P value = 0.05 confidence interval?

Answer 19

the results are significant and we can reject the null hypothesis
there is a less than 5% probability that the results are down to chance

Question 20

what does it mean when the results are less than the critical value at P = 0.05

Answer 20

the results are not significant

we can accept the null hypothesis

Question 21

What does the SD show?

Answer 21

average variation from the mean

Question 22

What is the students T Test used for?

Answer 22

comparing the means of 2 data sets

Question 23

what is Chi squared used for?

Answer 23

compare observed and expected results

Question 24

What is the correlation Coefficient used for?

Answer 24

used to test the strength of a relationship between two variables