AQA A-LEVEL MATHEMATICS
CERTIFICATION TEST 2026 FULL
QUESTIONS AND ANSWERS GRADED
A+
◉ b²-4ac > 0. Answer: 2 distinct real roots
◉ b²-4ac = 0. Answer: One repeated root
◉ Indices : xᵐ / xⁿ. Answer: X^(m -n)
◉ Indices : x^1/y. Answer: y√x
◉ Indices : (xⁿ)ᵐ. Answer: X^ (n x m)
◉ Completed Square : a(x +p)² + q. Answer: Turning point = (-p , q)
◉ Population. Answer: Whole set of items of interest
◉ Sample. Answer: Subset of the population (representatives)
, ◉ Census. Answer: Data from the entire population
◉ Qualitative data. Answer: descriptive data
◉ Quantative data. Answer: numerical data
◉ Discrete Data. Answer: Specific values (e.g eye colour)
◉ Continuous data. Answer: Can take any value (e.g weight)
◉ Random Sampling. Answer: Each item has a random chance of
being selected. Completely random (no bias), easy to do, not suitable
for larger populations.
◉ systematic sampling. Answer: choosing members of a population
at regular intervals
interval size = size of population/sample size
◉ Cluster Sampling. Answer: Population divided into categories not
individuals. Regional variation, not random (subject to bias)
◉ Quota Sampling. Answer: Population divided into groups, portion
of each group is chosen. Fieldwork is easy, minimum cost, sampling
errors and interview bias.
CERTIFICATION TEST 2026 FULL
QUESTIONS AND ANSWERS GRADED
A+
◉ b²-4ac > 0. Answer: 2 distinct real roots
◉ b²-4ac = 0. Answer: One repeated root
◉ Indices : xᵐ / xⁿ. Answer: X^(m -n)
◉ Indices : x^1/y. Answer: y√x
◉ Indices : (xⁿ)ᵐ. Answer: X^ (n x m)
◉ Completed Square : a(x +p)² + q. Answer: Turning point = (-p , q)
◉ Population. Answer: Whole set of items of interest
◉ Sample. Answer: Subset of the population (representatives)
, ◉ Census. Answer: Data from the entire population
◉ Qualitative data. Answer: descriptive data
◉ Quantative data. Answer: numerical data
◉ Discrete Data. Answer: Specific values (e.g eye colour)
◉ Continuous data. Answer: Can take any value (e.g weight)
◉ Random Sampling. Answer: Each item has a random chance of
being selected. Completely random (no bias), easy to do, not suitable
for larger populations.
◉ systematic sampling. Answer: choosing members of a population
at regular intervals
interval size = size of population/sample size
◉ Cluster Sampling. Answer: Population divided into categories not
individuals. Regional variation, not random (subject to bias)
◉ Quota Sampling. Answer: Population divided into groups, portion
of each group is chosen. Fieldwork is easy, minimum cost, sampling
errors and interview bias.
