StudyWithRaissov
StudyWithRaissov
Іздеу...⌘K
КіруSI units, unit conversions, compound rates (m/s ↔ km/h, density, pressure).
Simplifying, expanding and factorising expressions with one or more variables.
Index laws, integer/fractional exponents, scientific notation.
Sharing in a ratio, scaling, equivalent ratios.
Direct (y ∝ x) and inverse (y ∝ 1/x) variation, finding the constant.
Percentage of a quantity, increase/decrease, reverse percentage.
Translating real-world scenarios into equations or inequalities.
Solving and graphing inequalities, sign flip on negative multiplication.
Gradient, slope formula, slope of parallel and perpendicular lines.
Translating, reflecting, scaling functions and curves.
Standard, factored and vertex forms of f(x) = ax² + bx + c.
Worked-example questions on quadratics — projectile motion, area, optimisation.
Sketching parabolas: roots, vertex, axis of symmetry, concavity.
Solving ax² + bx + c < 0 and > 0 by sign analysis.
Simplifying, multiplying, dividing, adding and subtracting fractions with variables.
Arithmetic, geometric, recursive sequences. Finding the n-th term and partial sums.
Equations involving radicals, fractions, and absolute values.
General plane geometry: angles, parallel lines, congruence, similarity.
Functions of the form f(x) = aᵇˣ — growth, decay, half-life problems.
Custom-defined operations like a ★ b = ... — interpret and compute.
Triangle properties: angle sum, area, congruence, similarity, special triangles.
Vector addition, magnitude, scalar multiplication, position vectors.
Three-figure bearings, navigation problems, combining with trig.
Interior/exterior angles, regular polygons, special quadrilaterals.
Circle theorems, chords, tangents, sectors, circumference and area.
Cylinders, spheres, cones, prisms — surface area and volume.
Right-angled trig, sine and cosine rules, identities.