Become a Maths Boss: 25 Problems with Solutions

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Numbers, place value, ascending, descending, improper fraction, vulgar, mixed number, greater than , less than, or equal to, equals, not equals, compares, comparing, comparisons, whole numbers Start typing in the search box to instantly filter by exam board, year, tier and month/season of sitting—e.g. OCR summer 2017 higher instantly brings up links to the relevant papers. transformations, scale factors, negative, fractional, fractions, enlarging, centre of, transforming Reflection in a curve does not come up at GCSE. It is nevertheless a fun thing to try, and this activity highlights an important idea about reflection and an important idea about all transformations. N4c A4c Subtraction, Addition, Multiplication, multiplying, adding, subtracting, finding a differences, minus, plus, times, take away, Prime numbers and prime factorisation, distributive law distributivity property factorising factorizing factoring factorise factorize

ratios, mixing, mixes, converting, conversions, paints, dilutes, diluting, mixtures, squash, colours

Question 2

Structure, N5a - Systematic listing strategies and the product rule for counting P2a Theoretical probability

A18a A18b A18c Solving quadratic equations formula, A11b Identifying turning points of quadratic functions, A4e Factorising quadratics, Quadratic factors, factorize, factorise, factorization, factorisation, factorizing, solve solving equations completed completing the square form, turning minimum point maximum curve coordinates, parabolasdiscriminants, parabolas, parabolic, roots, solutions, solves, quadratics, algebraic fractions, graphs, completes, parabolas, parabolic, turning points, minimums, maximums, solves, minima, maxima, quadratics, algebraic fractions, vertex form completing the square completes,factorises, factorizse, factorizing, dynamic algebra tiles 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

Arithmetic, linear, geometric, sequences, progression, quadratics, nth term, position to term, term to term -, ssdd Indices, powers, indexes, bases, power, exponents, solving, solutions, equations, rewriting different bases, rebasing, rebase G10a Circle theorems, G20a Pythagoras' theorem, N4c Prime numbers and prime factorisation, product decomposition PythagoreanYou can also see how you might think about rotation using vectors, which might help you perform the rotation without using tracing paper. Minimum, minima, maximum, maxima, parabolas, parabolic, complete, curves, curved, graphs, quadratics, sketching, equations, sketches constructions, equilateral, scalene, SSS,SAS,ASA, isosceles, right angled , using rulers and straight edges, compasses, without protractors Greater, less, than, equal to, solves, unknowns, graphs, graphically, regions, shaded shades, shading by, inequality Use the grey <> tool to move the line horizontally, keeping it to the left of the semicircle. Once you’ve decided where you’d like the line, do not move it again. Keep it fixed.

A10a - Identifying and interpreting gradients and intercepts of linear functions graphically and algebraically G1c - Reflection symmetry, probability, P7a - Constructing theoretical possibility spaces for combined experiments with equally likely outcomes and use these to calculate theoretical probabilities, sample

Then you can then go about solving the equation. You may like to decide what you could do to one side of the equation (e.g. add, subtract, multiply or divide by a quantity, which could be a constant or an expression involving \(x\)) to make that side of the equation simpler. If you only do this to one side of the equation, you break the equation, so you’ll need to do it to the other side to repair the equation. In other words, you need to do the same thing to both sides. Then simplify both sides where possible. Repeat the process until you have solved the equation. 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 truncate, truncation, Decimals places, significant figures, place values Rounding numbers and measures to an appropriate degree of accuracy, 1 2 3 4 5 dp d.p. sf s.f. sigfig Right angled triangles, Pythagoras's, Pythagorean, 90º, degrees, triple, a A9a Plotting straight-line graphs A9b Identifying parallel and perpendicular lines G16b Area of parallelograms