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Topic 17.4 · Core + Supplement

Punnett Squares and Genetic Crosses

A genetic diagram tracks alleles from parents, through gametes, into every possible offspring combination. Set it up the same way every time and the method barely changes between a straightforward 3:1 cross and a Supplement test cross — only the interpretation at the end gets more demanding.

Setting up a monohybrid cross

A reliable sequence, worth using even on questions that look simple enough to skip it:

  1. Define the allele symbols.
  2. Write the genotypes of the parents.
  3. Identify which allele each parent’s gametes can carry.
  4. Combine the gametes.
  5. Write the possible offspring genotypes.
  6. Convert those genotypes into phenotypes.
  7. Calculate the genotype or phenotype ratio the question asks for.

A Punnett square is a grid that displays the possible allele combinations in the offspring. It predicts probabilities — it does not predict the exact order or exact number of offspring that will actually occur in a small, real sample. That distinction matters enough to be worth a sentence in an answer whenever a question asks you to interpret a ratio.

A 3:1 cross

Let T be the dominant allele for tall, and t be the recessive allele for short. Cross two heterozygous plants, Tt × Tt. Each parent can form gametes carrying either T or t.

Tt
TTTTt
tTttt

The genotypes produced are TT, Tt, Tt and tt — a genotype ratio of 1 TT : 2 Tt : 1 tt. Because T is dominant, TT and both Tt genotypes show the dominant phenotype, and only tt shows the recessive phenotype, giving a phenotype ratio of 3 tall : 1 short, or 3:1.

A 1:1 cross

Now cross a heterozygous individual with a homozygous recessive individual, Tt × tt. The Tt parent can form gametes carrying T or t; the tt parent can only form gametes carrying t.

Tt
tTttt
tTttt

This gives a genotype ratio of 1 Tt : 1 tt, and since Tt is dominant-phenotype and tt is recessive-phenotype, a phenotype ratio of 1 dominant : 1 recessive, or 1:1. Core candidates need to be able to produce both the 3:1 and the 1:1 ratio from a genetic diagram — those are the two phenotypic ratios Cambridge specifically requires at Core level.

Probability and real offspring

A Punnett square gives the probability for each individual fertilisation. In a Tt × Tt cross, the probability of a recessive-phenotype offspring is 1/4 for every single fertilisation — but that does not mean any actual group of four offspring must contain exactly one recessive individual. Probability describes the expected pattern across many events; a small number of real offspring can differ from the predicted ratio by chance, in the same way four flips of a fair coin don’t have to land two heads and two tails. If a question gives you an actual family that doesn’t match a predicted ratio exactly, that is not evidence the genetics is wrong — it’s exactly what probability predicts can happen in a small sample.

Supplement: test crosses

A dominant phenotype can come from either of two genotypes — AA or Aa — and the phenotype alone cannot tell you which one you’re looking at. A test cross resolves that by crossing the unknown individual with a homozygous recessive individual, aa.

If the unknown individual is AA, every offspring receives A from the unknown parent and a from the recessive parent, giving all Aa offspring — every offspring shows the dominant phenotype. If the unknown individual is Aa instead, the offspring are expected in a 1 Aa : 1 aa ratio, giving 1 dominant phenotype : 1 recessive phenotype. Producing any recessive-phenotype offspring at all is therefore the result that actually reveals the unknown parent’s genotype: it shows that parent carried the recessive allele and was heterozygous.

The tester has to be homozygous recessive for this to work, because a recessive tester contributes only recessive alleles to every offspring — that’s what makes whatever allele the unknown parent contributes visible in the results. In an idealised Cambridge-style genetic diagram, use the predicted outcomes to identify the genotype directly. In a real, finite family, observing only dominant offspring is strong evidence for homozygous dominance rather than absolute proof, for the same reason a small sample can depart from a predicted ratio by chance.

What this sets up next

This same seven-step method — genotypes, gametes, offspring, ratio — is what codominance and ABO blood groups and sex-linked inheritance both extend, with richer notation but the same underlying reasoning. Before that, pedigree diagrams ask you to run a version of this reasoning backwards, starting from a real family’s phenotypes rather than a hypothetical cross.