CAIE A-Level Biology A2 17.2.5 Hardy Weinberg Principle Questions

Use direct exam evidence to recognise when the Hardy-Weinberg principle applies and test its assumptions: a large diploid sexual population, random mating, and no selection, mutation or migration. Equation calculations are reconciled to the dedicated formula-reference node.

Syllabus
2028–2030
Course
Biology 9700
Level
A2

Exam points

  • Recognise the Hardy-Weinberg principle as a method for estimating relative allele frequencies from dominant and recessive phenotype counts.
  • State and evaluate the equilibrium conditions: a large diploid sexual population with random mating and no selection, mutation or migration.

CAIE A-Level Biology A2 17.2.5 Hardy Weinberg Principle Questions question 1

[Maximum number: 7]

Cystic fibrosis is an autosomal recessive genetic disease. People with cystic fibrosis have a homozygous recessive genotype.

In 2020:
- there were 10800 people with cystic fibrosis in the UK
- the UK population was estimated to be 67100000 people.
A proportion of people in the UK population are heterozygous for the gene that causes cystic fibrosis and do not have symptoms of the disease.
Use the Hardy-Weinberg principle to calculate the number of people in the UK population who are expected to be heterozygous for the gene that causes cystic fibrosis.
The two equations for the Hardy-Weinberg principle are provided.
equation 1

p+q=1

equation 2

p2+2pq+q2=1p^{2}+2 p q+q^{2}=1

p= frequency of the dominant allele
q= frequency of the recessive allele
p2=p^{2}= frequency of the homozygous dominant genotype
2 p q= frequency of the heterozygous genotype
q2=q^{2}= frequency of the homozygous recessive genotype
The first stage of the calculation has been completed for you.

q2=1080067100000q^{2}=\frac{10800}{67100000}

q=

p=

2 p q=
number of people in the UK expected to be heterozygous for the gene =
(ii) The Hardy-Weinberg principle provides a useful estimate of the number of people in the UK who are heterozygous for cystic fibrosis. However, the estimate is lower than the actual number. This underestimation occurs because not all the conditions of the Hardy-Weinberg principle apply.

In the UK in 2020, the mean life expectancy of:
- people with cystic fibrosis was approximately 50 years
- all people was approximately 80 years.

Explain how this information accounts for the underestimation of the number of people in the UK that are heterozygous for cystic fibrosis.
(c) A screening programme for cystic fibrosis was introduced in 2007 for all children born in the UK. Children are tested within seven days of their birth. Children identified from the screening programme as being at high risk of having cystic fibrosis can have a genetic test to confirm whether they have the disease.
(i) Table 3.1 shows the median predicted life expectancy for people born in the UK who have cystic fibrosis. Predictions are shown for people born in 2008, 2012, 2016 and 2020.

Table 3.1

Table 3.1

Describe the trend shown in Table 3.1 and outline how early screening for cystic fibrosis may have contributed to this trend.
(ii) In many countries, a genetic test for cystic fibrosis is available to adults who do not have cystic fibrosis but have a family member who either has cystic fibrosis or is heterozygous for the gene that causes cystic fibrosis.

These adults include partners, parents, offspring, brothers and sisters of the family member. The aim is to find out if any of these adults are heterozygous for the gene that causes cystic fibrosis.

Discuss the ethical and social considerations of making a genetic test for cystic fibrosis available to these adults.

4 Holstein Friesian cattle are a breed of cattle used by dairy farmers in many countries of the world for the high milk yield of their cows.

Fig. 4.1 shows Holstein Friesian cattle.

Fig. 4.1

Fig. 4.1

Milk yield in Holstein Friesian cattle is affected by heat stress. Heat stress occurs when homeostatic mechanisms are not enough to keep the body temperature down to normal levels.

One of the factors that contributes to heat stress is air temperature.

Fig. 4.2 shows:
- the mean daily air temperature in Central Europe
- the mean monthly milk yield per cow of Holstein Friesian cattle in Central Europe.

Fig. 4.2

Fig. 4.2

(a) With reference to Fig. 4.2, describe the trends in air temperature and milk yield from April to August.
(b) Many dairy farmers in tropical regions use cattle breeds that are tolerant to heat stress (heat-tolerant cattle). These heat-tolerant cattle:
- can tolerate higher air temperatures than Holstein Friesian cattle before heat stress occurs
- have milder symptoms of heat stress than Holstein Friesian cattle for the same high air temperatures.

Where heat stress does not occur, heat-tolerant cattle produce a lower milk yield than Holstein Friesian cattle under the same conditions.

Scientists compared DNA sequences of Holstein Friesian cattle and heat-tolerant cattle for a number of genes known to have an effect on body temperature.

Twenty genes were found that had alleles associated only with heat-tolerant cattle.
With reference to the information provided, including the data in Fig. 4.2:
- state the type (pattern) of phenotypic variation shown by milk yield in cattle
- identify factors that cause phenotypic variation in milk yield in cattle.

In each case, give a reason for your choice.
type (pattern) of phenotypic variation and reason for choice
factors that cause phenotypic variation and reason for each choice
(c) The scientists found that one of the genes studied, P R L R, has a dominant allele known as SLICK. The SLICK allele was identified in Senepol cattle, a heat-tolerant breed, and is not found in Holstein Friesian cattle.

Cattle with the SLICK allele have short hair due to reduced hair growth.
Scientists have used selective breeding to introduce the SLICK allele into Holstein Friesian cattle. The milk yields of normal Holstein Friesian cattle and Holstein Friesian cattle with the SLICK allele are shown in Fig. 4.3, during:
- March, when the mean daily air temperature is 5∘C5^{\circ} \mathrm{C}.
- September, when the mean daily air temperature is 14∘C14^{\circ} \mathrm{C}.

Fig. 4.3

Fig. 4.3

With reference to Fig. 4.3, describe the effect of the SLICK allele on milk yield in Holstein Friesian cattle.
(d) The SLICK allele differs from the recessive allele by a single nucleotide deletion. This results in a frameshift mutation and introduces a premature stop codon in the P R L R gene.

Scientists can use gene editing to replicate this mutation in Holstein Friesian cattle. This provides a way to introduce the SLICK allele into Holstein Friesian cattle without selective breeding.

Compare gene editing and selective breeding for introducing the SLICK allele into Holstein Friesian cattle.

Include similarities and differences in your answer.

5 Complete the following paragraphs using the most appropriate word or words.

The theory of evolution describes a process that can lead to the formation of new species from pre-existing species over .

DNA sequence data of different species can be compared to show evolutionary relationships. Two species that have a more recent common ancestor share more in the DNA nucleotide sequences of their genomes than two species that are more distantly related.

Mitochondrial DNA can also be used in the study of evolutionary relationships. Mitochondrial DNA is inherited only from the female gamete, and its nucleotide sequence is unaffected by during the production of gametes.

DNA sequence data can be stored in large biological , allowing faster comparison of the nucleotide sequences of genomes using computer software. DNA sequence data can also be used to predict the sequences of proteins produced by a species.

A can be used to detect many different mRNA molecules at the same time in studies that compare gene expression between different species.

6 A respirometer is a piece of apparatus that can be used to measure the rate of respiration of living tissue such as germinating peas.

A simple respirometer is shown in Fig. 6.1.

Fig. 6.1

Fig. 6.1

A student carried out an investigation to determine the effect of temperature on the rate of respiration of germinating peas.
- The student set up the respirometer as shown in Fig. 6.1 and placed the respirometer in a water-bath at 10∘C10^{\circ} \mathrm{C}.
- After five minutes, the student used the syringe to adjust the position of the coloured liquid in the right-hand side of the U-shaped tube so that it lined up with 0 cm on the ruler. The student immediately started a timer.
- The germinating peas used up oxygen, causing the coloured liquid in the U-shaped tube to move.
- The student measured the distance moved by the coloured liquid after 20 minutes.
- The student repeated the experiment at temperatures of 20∘C,30∘C,40∘C20^{\circ} \mathrm{C}, 30^{\circ} \mathrm{C}, 40^{\circ} \mathrm{C} and 50∘C50^{\circ} \mathrm{C}.
(a) State the function of the potassium hydroxide solution used in the investigation.
(b) Suggest how the validity of the results could be assessed.
(c) Explain why the respirometer was left in the water-bath for five minutes before starting the experiment.
(d) The rate of movement of the coloured liquid in the U-shaped tube, calculated from the results, is shown in Table 6.1.

Table 6.1

Table 6.1

Plot a graph of the results shown in Table 6.1 on the grid in Fig. 6.2. Draw a curved line of best fit.

Fig. 6.2

Fig. 6.2

(e) The rate of movement of the coloured liquid is related to the rate of respiration.

Explain the effect of temperature on the rate of respiration shown in Table 6.1 and Fig. 6.2.

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