Solve Equations and Inequalities with Control
Work through quadratics, the formula, surd equations and inequalities with a method you can trust under pressure, and learn where marks are usually lost.
High School · learning path
Algebra, equations and inequalities, number patterns, sequences and series, functions and inverses, the hyperbola, financial maths, calculus and probability — the Paper 1 topics, one MicroQuest each.
Take them in order, or jump to what you need. Each step is a complete MicroQuest with its own certificate.
Work through quadratics, the formula, surd equations and inequalities with a method you can trust under pressure, and learn where marks are usually lost.
Tell arithmetic patterns from quadratic ones using differences, build the general term for each, and read sigma notation without panic.
Use the first and second derivatives to analyse a cubic graph, locate turning and inflection points, and build the equation of a tangent.
Differentiate from first principles when asked, apply the power rule everywhere else, and know what a derivative actually tells you about a graph.
Choose the right financial formula, handle monthly compounding correctly, and work out loan repayments and outstanding balances without guessing.
Read a parabola or exponential graph properly — intercepts, turning point, asymptotes, domain and range — and find an inverse without guessing.
Work with the common ratio, find any term or sum, and know exactly when an infinite series converges and when it does not.
Turn a word problem into one equation, differentiate it to find the maximum or minimum, and interpret rates of change in real units.
Apply the addition rule, tell independent from mutually exclusive, read a Venn or tree diagram, and count arrangements without listing them.
Solve linear and non-linear systems by substitution, keep your ordered pairs matched, and handle the exponent-law questions that look harder than they are.
Read a hyperbola from its equation — both asymptotes, the shape, the axes of symmetry and its domain and range — and sketch it with confidence.
For employers, schools and training providers
Toolbox talks, inductions, refreshers and revision that people finish, because each one fits in a tea break and runs on the phone they already carry.
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Print an A4 poster for the canteen, staffroom or site office. A scan opens the MicroQuest.
Every completion has a numbered certificate you can check online, which is useful for toolbox talks and inductions.
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