SWETAxAI — IGCSE MATHEMATICS TOOLS
Interactive tools designed to make IGCSE Mathematics clearer, faster, and more intuitive.
Master IGCSE Mathematics with a growing collection of smart, interactive, syllabus-aligned tools designed for clearer concepts, faster practice, and stronger exam preparation.
From calculators, graphing and geometry tools to formula support, exam-style practice, and concept explainers, SWETAxAI makes complex mathematics easier to explore and apply.
Designed for Cambridge IGCSE Mathematics — simple, focused, and built for learning that goes beyond memorisation.
Smart Tools. Stronger Concepts. Better Results.
SWETAxAI AS/A LEVEL MATHEMATICS (9709) TOOLS
SWETAxAI AS/A Level Mathematics ( 9709) : Functions & Transformations Explorer
Includes:
- Multiple standard functions
- Interactive original vs transformed graphs
- y=f(x)+k
- y=f(x−h)
- y=Af(x)
- y=f(Ax)
- Reflections in x- and y-axes
- Combined transformations
- Domain & range
- Inverse-function information
- Composition examples
- Transformation rules
- Step-by-step explanation
- Random 9709-style practice
SWETAxAI AS/A Level Mathematics ( 9709) : Differentiation & Curve Explorer
Includes:
- First and second derivatives
- Gradient at any point
- Tangent equation
- Normal equation
- Interactive curve graph
- Tangent/normal overlays
- Stationary-point finder
- Maximum/minimum classification using f′′(x)
- Step-by-step 9709-style working
- Random examples
- Exam-style practice questions
- Responsive mobile/desktop design
SWETAxAI AS/A Level Mathematics ( 9709) : Integration & Area Explorer
Includes:
- Indefinite integration
- Definite integrals
- Antiderivative rules
- Constant of integration
- Signed integral calculation
- Total geometric area
- Interactive curve with shaded region
- Adjustable limits a and b
- Area interpretation
- Step-by-step 9709-style working
- Random examples
- Exam-style practice questions
- Responsive design
SWETAxAI AS/A Level Mathematics ( 9709) : Trigonometry & Equation Explorer
Includes:
- Degree / radian mode
- Interactive sinx, cosx, tanx graphs
- Amplitude and period
- Horizontal and vertical transformations
- Solve trigonometric equations
- Restricted-interval solutions
- Solution points displayed on the graph
- Exact-value table
- CAST/quadrant-based step-by-step working
- Random examples
- 9709-style practice questions
- Responsive desktop/mobile interface
SWETAxAI AS/A Level Mathematics ( 9709) : Exponential & Logarithmic Functions Explorer
Includes:
- Interactive ex, ax and logax exploration
- Adjustable base, scale and transformations
- Exponential growth and decay
- Logarithmic transformations
- Domain, range and asymptotes
- Solve exponential equations
- Solve logarithmic equations
- Interactive solution point
- Laws of logarithms
- Change-of-base formula
- Step-by-step 9709-style working
- Random examples
- Exam-style practice with answer reveal
- Responsive desktop/mobile design
SWETAxAI AS/A Level Mathematics ( 9709) : Sequences & Series Explorer
Includes:
- Arithmetic sequences
- Geometric sequences
- nth-term calculator
- Common difference / common ratio
- Sum of n terms
- Infinite geometric series
- Convergence test ∣r∣<1
- Interactive term graph
- Term and partial-sum table
- Formula display
- Step-by-step 9709-style working
- Random examples
- Exam-style practice with answer reveal
- Responsive desktop/mobile design
SWETAxAI AS/A Level Mathematics ( 9709) : Binomial Expansion Explorer
Includes:
- (a+b)^n expansion
- Pascal’s Triangle
- Binomial coefficients (rn)
- General term Tr+1
- Specific term finder
- Coefficient finder
- Complete expansion display
- Term-by-term breakdown
- Variable and negative-term support
- Step-by-step 9709-style working
- Random examples
- Exam-style practice with answer reveal
- Responsive desktop/mobile design
SWETAxAI AS/A Level Mathematics ( 9709) : Coordinate Geometry Explorer
Includes:
- Gradient and straight-line equations
- Two-point form
- Distance between two points
- Midpoint calculator
- Parallel and perpendicular lines
- Line intersections
- Circle equations
- Centre and radius
- Circle tangent explorer
- Interactive coordinate-plane visualiser
- Step-by-step 9709-style working
- Random examples
- Exam-style practice with answer reveal
- Responsive desktop/mobile design
SWETAxAI AS/A Level Mathematics ( 9709) : Vectors Explorer
Includes:
- Vector addition and subtraction
- Scalar multiplication
- Magnitude / modulus
- Direction and bearings
- Dot product
- Position vectors
- Section formula and ratios
- Vector equations of straight lines
- Parallel and collinear vector tests
- Interactive vector diagram
- Step-by-step 9709-style working
- Random examples
- Exam-style practice with answer reveal
- Responsive desktop/mobile design
SWETAxAI AS/A Level Mathematics ( 9709) : Probability Explorer
Includes:
- Venn diagrams
- Sample spaces and complements
- Union and intersection
- Addition and multiplication rules
- Conditional probability
- Independence testing
- Two-stage tree diagrams
- Two-way probability tables
- Marginal probabilities
- Interactive probability visualisers
- Step-by-step 9709-style working
- Randomised examples
- Exam-style practice with answer reveal
- Responsive desktop/mobile interface
- Client-side only — no login, tracking or backend
SWETAxAI AS/A Level Mathematics ( 9709) : Permutations & Combinations Explorer
Includes:
- Factorials n!
- Permutations nPr
- Combinations nCr
- Repeated-object arrangements
- Circular arrangements
- Objects that must be together
- Objects that must not be together
- At least / at most selection problems
- Interactive arrangement visualiser
- Step-by-step 9709-style working
- Random examples
- Exam-style practice with answer reveal
- Responsive premium interface
- Client-side only — no login, tracking or backend
SWETAxAI AS/A Level Mathematics ( 9709) : Discrete Random Variables & Binomial Explorer
Includes:
- Discrete probability distributions
- P(X=x)
- Probability validation
- E(X)
- E(X^2)
- Variance
- Standard deviation
- Binomial distribution X∼B(n,p)
- P(X=r)
- P(X≤r), P(X<r)
- P(X≥r), P(X>r)
- Interactive probability-mass graph
- Distribution table
- Binomial mean and variance
- Step-by-step 9709 working
- Random examples
- Quick practice with Show Answer
- Responsive premium interface
- Client-side only
SWETAxAI AS/A Level Mathematics ( 9709) : Normal Distribution Explorer
Includes:
- X∼N(μ,σ2)
- Mean and standard deviation controls
- P(a<X<b)
- P(X<a)
- P(X>a)
- Z-score calculator
- Inverse normal / percentile finder
- Find x from a probability
- Find μ from a probability condition
- Find σ from a probability condition
- Interactive normal curve
- Shaded probability regions
- Standardisation calculations
- Step-by-step 9709-style working
- Random examples
- Quick practice with Show Answer
- Responsive premium interface
- Client-side only
SWETAxAI AS/A Level Mathematics ( 9709) : Continuous Random Variables & PDF Explorer
Includes:
- Continuous random variables
- Probability density functions f(x)
- PDF normalisation and finding k
- P(a<X<b)
- Cumulative distribution function F(x)
- Percentile / quantile finder
- E(X)
- E(X2)
- Variance
- Standard deviation
- Multiple PDF families
- Interactive PDF graph
- Shaded probability regions
- Integration-based probability calculations
- Step-by-step 9709 working
- Random examples
- Quick practice with Show Answer
- Responsive premium interface
- Client-side only
SWETAxAI AS/A Level Mathematics ( 9709) : Statistics & Data Analysis Explorer
Includes:
- Raw data statistics
- Mean, median, variance & SD
- Quartiles and IQR
- Percentiles
- Frequency tables
- Grouped data
- Frequency density
- Histogram
- Scatter diagrams
- Correlation coefficient r
- Linear regression
- Regression equation
- Step-by-step 9709 working
- Random examples
- Show Answer practice
- Responsive premium interface
- Client-side only
SWETAxAI AS/A Level Mathematics ( 9709) : Complex Numbers Explorer
Includes:
- Cartesian, modulus & argument
- Complex conjugates
- Addition, subtraction, multiplication & division
- Polar form
- De Moivre’s theorem
- nth roots
- Argand diagram
- Loci
- Complex equations
- Step-by-step 9709 working
- Random examples
- Show Answer practice
- Responsive premium interface
SWETAxAI AS/A Level Mathematics ( 9709) : Momentum & Impulse Explorer
Includes:
- Momentum p=mv
- Impulse I=FΔt=Δp
- Conservation of linear momentum
- Two-particle collisions
- Rebound/collision calculations
- Force–time graphs
- Area under force–time graph
- Initial and final momentum
- Interactive motion/collision visualisations
- Step-by-step 9709 working
- Random examples
- Show Answer practice
- Responsive premium SWETAxAI interface
SWETAxAI AS/A Level Mathematics ( 9709) : Hypothesis Testing Explorer
Included
- Binomial hypothesis testing
- Normal mean testing
- Null and alternative hypotheses
- One-tailed and two-tailed tests
- 10%, 5%, 2% and 1% significance levels
- Critical regions
- Test statistics
- p-values
- Reject / do not reject H0
- Interactive binomial distribution visualiser
- Normal critical-region visualiser
- Step-by-step 9709-style working
- Random examples
- Show Answer practice
- Responsive premium interface
SWETAxAI AS/A Level Mathematics ( 9709) : Poisson Distribution Explorer
Included
- X∼Po(λ)
- P(X=r)
- P(X≤r)
- P(X<r)
- P(X≥r)
- P(X>r)
- Mean E(X)=λ
- Variance =λ
- Standard deviation
- Finding λ from P(X=0)
- Binomial → Poisson approximation
- Interactive probability-mass visualiser
- Exact binomial vs Poisson comparison
- Step-by-step 9709-style working
- Random examples
- Show Answer practice
- Responsive premium interface
SWETAxAI AS/A Level Mathematics ( 9709) : Differentiation & Applications Explorer
Includes:
- Differentiation of polynomials
- Trigonometric differentiation
- Exponential differentiation
- Logarithmic differentiation
- Derivative at a point
- Tangent calculation
- Stationary points
- Maximum / minimum classification
- Second derivative
- Implicit differentiation
- Interactive function graph
- Tangent visualisation
- Step-by-step 9709-style working
- Random examples
- Show Answer practice
- Responsive premium interface
- Client-side only
SWETAxAI AS/A Level Mathematics ( 9709): Integration & Applications Explorer
Includes:
- Indefinite integration
- Reverse differentiation
- Standard integrals
- Polynomial integration
- Trigonometric integration
- Exponential integration
- Logarithmic / reciprocal integration
- Definite integrals
- Area under a curve
- Area between curves
- Volume of revolution
- Trapezium rule
- Interactive shaded-area visualiser
- Exact vs numerical values
- Step-by-step 9709-style working
- Random examples
- Show Answer practice
- Responsive premium interface
- No mechanics topics