# AQA GCSE (9-1) Maths

## Free Practice Questions

Practice questions are organised by their levels of difficulty and topics for AQA (8300) specification.

## Level 5 (Foundation & Higher)

BNotesQuiz
A5. Percentages
A5.1      Find a decimal multiplier for percentage changesNotesStart Practice
A5.2      Find repeated percentage changeNotesStart Practice
A5.3      Work out amount after multiple percentage changesNotesStart Practice
A5.4      Find compound interest, growth and depreciationNotesStart Practice
B5. Indices
B5.1      Multiply indicesNotesStart Practice
B5.2      Divide indicesNotesStart Practice
B5.3      Raise a power to a powerNotesStart Practice
B5.4      Find a power of a productNotesStart Practice
B5.5      Find power 1NotesStart Practice
B5.6      Find power 0NotesStart Practice
B5.7      Find power of 1NotesStart Practice
B5.8      Find a power of a fractionNotesStart Practice
C5. Standard Form
C5.1      Multiply standard form numbersNotesStart Practice
C5.2      Divide standard form numbersNotesStart Practice
C5.3      Add standard form numbersNotesStart Practice
C5.4      Subtract standard form numbersNotesStart Practice
D5. Expand Brackets
D5.1      Write square of an expressionNotesStart Practice
D5.2      Expand two brackets: special caseNotesStart Practice
D5.3      Expand two bracketsNotesStart Practice
E5. Algebraic Proof
E5.1      Work out algebraic statementsNotesStart Practice
E5.2      Check algebraic statementsNotesStart Practice
F5. Word problems
F5.1      Solve word problemsNotesStart Practice
G5. Inequalities
G5.1      Solve one-step linear inequalities by adding and subtractingNotesStart Practice
G5.2      Solve one-step linear inequalities by multiplying and dividingNotesStart Practice
G5.3      Solve two-step linear inequalitiesNotesStart Practice
G5.4      Solve multi-step linear inequalitiesNotesStart Practice
G5.5      Identify compound inequality represented by a graphNotesStart Practice
G5.6      Solve compound inequalitiesNotesStart Practice
H5.1      Factorise a difference of two squaresNotesStart Practice
H5.2      Factorise a quadratic expression 'when a is 1'NotesStart Practice
I5.1      Solve quadratic equations by factorisingNotesStart Practice
I5.2      Solve one-step quadratic equations by taking square rootsNotesStart Practice
I5.3      Solve two-step quadratic equations by taking square rootsNotesStart Practice
I5.4      Solve multi-step quadratic equations by taking square rootsNotesStart Practice
J5. Straight Lines
J5.1      Find gradient and y-intercept from an equationNotesStart Practice
J5.2      Find gradient of a line between two pointsNotesStart Practice
J5.3      Find coordinates of a point on a lineNotesStart Practice
J5.4      Find gradient of a parallel lineNotesStart Practice
J5.5      Find equation of a straight lineNotesStart Practice
J5.6      Write equation of a line given a point and gradientNotesStart Practice
J5.7      Find equation of a line that passes through two pointsNotesStart Practice
J5.8      Write equation of a parallel lineNotesStart Practice
K5. Simultaneous Equations
K5.1      Solve simultaneous equations graphicallyNotesStart Practice
K5.2      Solve simultaneous equations using eliminationNotesStart Practice
K5.3      Solve simultaneous equations using substitutionNotesStart Practice
L5. Graphs
L5.1      Draw graph of a quadratic function using a table of valuesNotesStart Practice
L5.2      Find roots of a quadratic equation using graphNotesStart Practice
L5.3      Find x-intercepts of a quadratic functionNotesStart Practice
L5.4      Find y-intercepts of a quadratic functionNotesStart Practice
L5.5      Identify graph of a quadratic functionNotesStart Practice
L5.6      Find turning point of a quadratic graphNotesStart Practice
L5.7      Find line of symmetry of a quadratic graphNotesStart Practice
L5.8      Work out turning point of a quadratic graphNotesStart Practice
L5.9      Work out x-intercepts of quadratic functionsNotesStart Practice
L5.10      Work out y-intercepts of quadratic functionsNotesStart Practice
L5.11      Sketch the graph of a cubic functionNotesStart Practice
L5.12      Find asymptotesNotesStart Practice
L5.13      Sketch the graph of a reciprocal functionNotesStart Practice
M5. Interpreting Graphs
M5.1      Identify changes with time in graphsNotesStart Practice
N5. Transformations
N5.1      Enlarge a shape with a positive scale factorNotesStart Practice
N5.2      Enlarge a shape with a fractional scale factorNotesStart Practice
N5.3      Describe enlargementsNotesStart Practice
O5. Similarity and Congruence
O5.1      Identify similar shapesNotesStart Practice
O5.2      Find scale factor of similar shapesNotesStart Practice
O5.3      Find missing length in similar shapesNotesStart Practice
O5.4      Find missing length in similar trianglesNotesStart Practice
O5.5      Identify congruent trianglesNotesStart Practice
P5. Circles
P5.1      Find arc length of a circleNotesStart Practice
P5.2      Find area of a sector in a circleNotesStart Practice
Q5. Surface Area and Volume
Q5.1      Find surface area of a cube or cuboidNotesStart Practice
Q5.2      Find surface area of a triangular prismNotesStart Practice
Q5.3      Find surface area of a cylinderNotesStart Practice
Q5.4      Find surface area of a sphereNotesStart Practice
Q5.5      Find surface area of a pyramidNotesStart Practice
Q5.6      Find surface area of a coneNotesStart Practice
Q5.7      Find volume of a sphereNotesStart Practice
Q5.8      Find volume of a pyramidNotesStart Practice
Q5.9      Find volume of a coneNotesStart Practice
R5. Trigonometry
R5.1      Write exact values of sin, cos and tanNotesStart Practice
R5.2      Find trigonometric ratios in a right-angled triangleNotesStart Practice
R5.3      Find a side in a right-angled triangle using sin formulaNotesStart Practice
R5.4      Find a side in a right-angled triangle using cos formulaNotesStart Practice
R5.5      Find a side in a right-angled triangle using tan formulaNotesStart Practice
R5.6      Find an angle in a right-angled triangle using sin formulaNotesStart Practice
R5.7      Find an angle in a right-angled triangle using cos formulaNotesStart Practice
R5.8      Find an angle in a right-angled triangle using tan formulaNotesStart Practice
R5.9      Find distance given angle of elevation and depressionNotesStart Practice
S5. Circle Theorems
S5.1      Use the rule: the perpendicular from the centre of a circle to a chord bisects the chordNotesStart Practice
S5.2      Use the rule: two radii and a chord form an isosceles triangle in a circleNotesStart Practice
S5.3      Use the rule: angle between a tangent and a radius is 90 degreesNotesStart Practice
S5.4      Use the rule: tangents drawn from the same point are equal in lengthNotesStart Practice
T5. Vectors
T5.1      Add and subtract vectorsNotesStart Practice
T5.2      Graph a resultant vectorNotesStart Practice
T5.3      Multiply a vector by a numberNotesStart Practice
T5.4      Find parallel vectorsNotesStart Practice
U5. Sets and Venn Diagrams
U5.2      Find union and intersection of setsNotesStart Practice
U5.3      Find complement of a setNotesStart Practice
V5. Probability
V5.1      Identify independent events in a scenarioNotesStart Practice
V5.2      Identify independent events using probabilitiesNotesStart Practice
V5.3      Find probability of independent events using AND ruleNotesStart Practice
V5.4      Identify mutually exclusive events in a scenarioNotesStart Practice
V5.5      Identify mutually exclusive events using probabilitiesNotesStart Practice
V5.6      Find probability of mutually exclusive eventsNotesStart Practice
V5.7      Find probability of an event not happeningNotesStart Practice
V5.8      Find probability of overlapping events using setsNotesStart Practice
V5.9      Draw a probability tree diagramNotesStart Practice
V5.10      Calculate probabilities using a tree diagramNotesStart Practice
V5.11      Calculate probabilities using a Venn diagramNotesStart Practice
V5.12      Calculate probabilities using a two-way tableNotesStart Practice
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