\( \DeclareMathOperator{cosec}{cosec} \)

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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.

- Inequalities Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.
- Linear Programming A selection of linear programming questions with an interactive graph plotting tool.
- Diophantine Equations Practise finding integer solutions to equations with more than one unknown.
- Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.

Here are some exam-style questions on this statement:

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*The red line in the diagram below shows an inequality. If the variable is \(x\), which inequality best describes \(x\)?*" ... more - "
*(a) Solve 9m < 15m − 12*" ... more - "
*The graph of a quadratic function, \(y=f(x)\) is shown drawn accurately in the following diagram. Write down all the integer solutions of \(f(x) \le 0\).*" ... more - "
*The diagram below is a sketch of \(y = f(x)\) where \(f(x)\) is a quadratic function.*" ... more - "
*Describe the unshaded (white) region by writing down three inequalities.*" ... more - "
*On the grid below indicate the region that satisfies all three of these inequalities.*" ... more - "
*(a) The expression \( (x+1)(2x-3)(3x+4) \) can be written in the form \(ax^3 + bx^2 + cx + d \) where \(a, b, c\) and \(d\) are integers. Find the values of \(a, b, c\) and \(d\).*" ... more - "
*A region on a coordinate grid is described by the following three inequalities:*" ... more - "
*By shading the unwanted regions, show the region satisfied by these three inequalities.*" ... more - "
*Solve the following inequalities then explain how the whole number solutions to A and B different.*" ... more - "
*A large car park has an area of 1400m*" ... more^{2}with space for \(x\) cars and \(y\) vans. Each car requires 14m^{2}of space and each van requires 35m^{2}of space. - "
*A region on a coordinate grid is described by the following three inequalities:*" ... more - "
*Show that you understand equations and inequalities by answering the following:*" ... more - "
*Here is a function machine that produces two outputs, A and B.*" ... more - "
*Solve \(2x^2 + 7x - 15 <0\)*" ... more

Here is an Advanced Starter on this statement:

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