Become a Maths Boss: 25 Problems with Solutions

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A12a - Graphs of linear functions, quadratic functions, simple cubic functions, and the reciprocal function with GeoGebra applet N2a - Adding and subtracting positive integers N2b - Multiplying positive integers N2d - Applying the four operations to decimals subtracting multiplying times product minus take away difference N2f - Applying the four operations to fractions N3a - Relationships between operations, including inverse operations N2e - Applying the four operations to negative numbers Powers, indices, base, rebasing rebase, substitute substituting A2a A11b A4i A17a A18a A18b Solving quadratic equations by factorising Solving quadratic equations by completing the square N7a Calculating with positive and negative integer indices N2d - Applying the four operations to decimals subtracting multiplying times product minus take away difference distributive law property distributivity

G1c - Reflection symmetry, probability, P7a - Constructing theoretical possibility spaces for combined experiments with equally likely outcomes and use these to calculate theoretical probabilities, sample This applet allows you to start with an equation, and perform certain steps that don’t necessarily lead to a solution but do let you practise manipulating both sides of an equation in a consistent manner. At difficulty levels 2 and 3, choose the “Show random steps” option to practise this. R5a - Dividing a quantity in a given ratio, and expressing the division of a quantity as a ratio with GeoGebra appletEquivalent, Equivalence, algebraic expressions, Equations, identities, argument, constructing, proofs, constructions, show that, prove, proving with Indices, powers, indexes, bases, power, exponents, solving, solutions, equations, rewriting different bases, rebasing, rebase pi, radiuses, radii, diameters, lengths, areas, circumferences, finding, calculating, calculate, parts of G19a Lengths, areas and volumes in similar shapes G7e Enlargement Dilation R12a Ratios and similar shapes; scale, area and volume factors additions, adding to, subtractions, subtracting from, multiplications, multiplying by, divisions, dividing improper, mixed numbers, vulgar, top-heavy, keep, kiss and flip, reciprocal

Truncate, truncation, truncating, rounding, inequalities, errors, rounding, significant figures, decimal places, dp d.p. s.f. sf sigfig A25b - Finding the nth term of a quadratic sequence, A18a - Solving quadratic equations by factorising A18b A18c completing the square using the quadratic formula G10a, N8a, G20a, A21b, A18a, Solving quadratic by factorising Deriving and solving an equation or simultaneous equations to describe a situation, Perimeter, circumference, circle theorems, obling, rectangles, diagonals, pi, exact values, cyclic quadrilateral, angles in a semicircle 90º degrees, factorize, factorise, factorization, factorisation transformations, scale factors, negative, fractional, fractions, enlarging, centre of, transformingGradients, y- intercepts, horizontal, vertical, slopes, lines, y=mx+c, y = mx + c, x = k, ax+by=c ax+by=k ax + by = c k - 0 eliminates, elimination, eliminating substitutes, substitution, solves, worded problems, substituting