AP BIOLOGY MATH REVIEWToday you will need:

An AP Bio calculator

A formula sheet

A few grid-in sheets

Tips for Doing the Grid-In Questions

Grid LEFT to rightUse the formula sheetDon’t round until the endLook at HOW the answer should be given:

“round to nearest…”

For example: 0.123The 1 is in the tenths placeThe 2 is in the hundreds placeThe 3 is in the thousandths place

Chi Square

A heterozygous red-eyed female fruit fly was crossed with a red-eyed male fruit fly. The results of the cross are shown below. Eye color is a sex-linked trait on the X-chromosome. Red eyes are dominant to white, determine the chi square value. Round to the nearest hundredth.

Phenotype # flies observed

Red Eyes 134

White Eyes 66

Chi Square Strategy

• What are we given?

• What do we need to figure out? How?

• Then what?

Surface Area and Volume

What is the surface area to volume ratio for this cell? Round your answer to the nearest

hundredths.

What if it’s a cube?

Practice!

1. Which of the following statements about the accompanying figure is true?a)Figure B has a greater surface area than Figure A.b)Figure B has a greater volume than Figure A.c)Figure B has a greater surface area to volume ratio than Figure A.d)Figure B has a smaller surface area to volume ratio than Figure A.

2. Based on your knowledge of basic geometric relationships, the actual surface area to volume ratio for Figure B in the accompanying figure is:

a) 0.01 c) 100b) 0.06 d) 1,000

3. One strategy that allows larger cells to have an effective surface area to volume ratio is:

a)having a completely spherical shape. c) having thin, finger-like projections.b)being short and fat. d) having a thinner plasma membrane.

Water PotentialWater Potential = = s + p

s = -iCRT

• i = The number of particles the molecule will make in water; for NaCl this would be 2; for sucrose or glucose, this number is 1

• C = Molar concentration (from your experimental data; where the line of best fit crosses the x-axis)

• R = Pressure constant = 0.0831 liter bar/mole K

• T = Temperature in degrees Kelvin = 273 + °C of solution

Sample Problem

The molar concentration of a sugar solution in an open beaker has been determined to be

0.3M. Calculate the solute potential at 27 oC.Round your answer to the nearest tenths.

Hardy-Weinberg

A census of birds nesting on a Galapagos Island revealed that 24 of them show a rare recessive

condition that affected beak formation. The other 63 birds in this population show no beak defect. If this population is in HW equilibrium, what is the

frequency of the dominant allele? Give your answer to the nearest hundredth.

What percentage of the population is heterozygous for the condition? Give your answer to the nearest

whole number.

Rate

Hydrogen peroxide is broken down to water and oxygen by the enzyme catalase. The following data were taken over 5 minutes. What is the rate of enzymatic reaction in mL/min from 2 to 4 minutes? Round to the nearest hundredths.

Time (mins)

Amount of O2

produced (mL)

1 2.3

2 3.6

3 4.2

4 5.5

5 5.9

Laws of Probability

Calculate the probability of tossing three coins simultaneously and obtaining three

heads.

Express in fraction form.

Primary Productivity

The net annual primary productivity of a particular wetland ecosystem is found to be 8,000 kcal/m2. If respiration by the aquatic

producers is 12,000 kcal/m2 per year, what is the gross annual primary productivity for this

ecosystem, in kcal/m2 per year? Round to the nearest whole number.

NPP = GPP - R

Q10

• Measures the increase in metabolic activity resulting from an increase in body temperature.

• Summarizes the effect of raising temperature 10o C on the rate of a chemical reaction.

• A Q10 of 2.0 suggests that raising the temperature of a system by 10o C will effectively double the rate of the reaction.

• A general formula that can be used with any temperature interval is:

where:

T2 = higher temperature R2 = rate at t2

T1 = lower temperature R1 = rate at t1

Practice Problem

Data taken to determine the effect of temperature on the rate of respiration in a goldfish is given in the table below. Calculate Q10 for this data. Round to the nearest

whole number.

Temperature (oC)

Respiration Rate

(Minute)

16 16

21 22

Standard Deviation

• The Standard Deviation is a measure of how spread out numbers are.

where: x is the data point

x = the mean of the data

n = the number of data points

Practice Problem

Grasshoppers in Madagascar show variation in their back-leg length. Given the following data, determine the standard deviation. Round the

answer to the nearest hundredth.

Length(cm):

2.0, 2.2, 2.2, 2.1, 2.0, 2.4, 2.5

Dilution

Joe has a 2 g/L solution. He dilutes it and creates 3 L of a 1 g/L solution. How much

of the original solution did he dilute?

Round to the nearest tenths.

pH

What is the pH of a solution with an H+

concentration of 1 x 10-3? Round to the nearest whole

number.

What is the hydrogen ion concentration of a solution of pH 8? Round to the nearest

whole number.

Gibbs Free Energy

Pick the best answer:

A chemical reaction is most likely to occur spontaneously if the…

a) Free energy is negative

b) Entropy change is negative

c) Activation energy is positive

d) Heat of reaction is positive