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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Quadratic Equations Video Learn the common methods of solving quadratic equations by factorising and by using the quadratic formula.
• Quadratic Equations Solve these quadratic equations algebraically in this seven-level, self-marking online exercise.
• Completing the Square Practise this technique for solving quadratic equations and analysing graphs.
• Using Graphs Use the graphs provided and create your own to solve both simultaneous and quadratic equations.

Here are some exam-style questions on this statement:

• "Write down the coordinates of the turning point on the graph of \(y = 9 - (x - 5)^2\)" ... more
• "The straight line \(y = 3x - 4\) intersects the curve \(y = x^2 + 4x – 7\) at the points \(A\) and \(B\)." ... more
• "The graph of y = f(x) is drawn accurately on the grid." ... more
• "(a) By completing the square, solve \(x^2+8x+13=0\) giving your answer to three significant figures." ... more
• "The diagram below is a sketch of a curve, a parabola, which is not drawn to scale." ... more
• "Given that \(x^2 – 8x + 3 = (x – a)^2 – b\) for all values of x," ... more
• "(a) Find the interval for which \(x^2 - 9x + 18 \le 0\)" ... more
• "(a) Write \(2x^2+8x+27\) in the form \(a(x+b)^2+c\) where \(a\), \(b\), and \(c\) are integers, by 'completing the square'" ... more
• "A function is defined as \(f(x) = 2{(x - 3)^2} - 5\) ." ... more
• "Let \(f(x)=5x^2-20x+k\). The equation \(f(x)=0\) has two equal roots." ... more

See all these questions

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Graphs This topic includes algebraic and statistical graphs including bar charts, line graphs, scatter graphs and pie charts. A graph is a diagram which represents a relationship between two or more sets of numbers or categories. The data items are shown as points positioned relative to axes indicating their values. Pupils are typically first introduced to simple bar charts and learn to interpret their meaning and to draw their own. More sophisticated statistical graphs are introduced as the pupil's mathematical understanding develops. Pupils also learn about coordinates as a pre-requisite for understanding algebraic graphs. They then progress to straight line graphs before learning to work with curves, gradients, intercepts, regions and, for older pupils, calculus.