General Ability

The exercises in the book are carefully graded into 5 levels to provide confidence and success to lower ability students, while at the same time offering more difficult levels to extend students who have a good grasp of the basic concepts: EASIER QUESTIONS These questions given in level 1 (sometimes also in level 2) are intended to build up confidence and ensure that all the basic concepts have been understood. Most of the questions are almost identical to the examples given throughout the chapter – except with the numbers changed. If the student does have difficulty, then he/she can easily refer back to a similar example on the page number shown in the margin. AVERAGE QUESTIONS The questions in Level 2 are of average difficulty level, and will give all students (average & gifted) a good opportunity to practise and consolidate the ideas and rules given throughout most of the chapter. Once again, if a student does have difficulty with a particular problem, then he/she can quickly refer back to a similar example on the page number shown. All students should try to complete and understand the questions in the first 2 levels. HARDER QUESTIONS The questions in this level are usually more difficult than the ones in level 1 and 2 and some of the more difficult ideas in the topic are tested. Reference page numbers have NOT been included in the margin, in order to make students who reach this level more skilful in researching through the chapter for their own information. Level 3 should be done by more capable students, or those students who have found earlier levels straightforward. PROBLEM SOLVING EXTENSION QUESTIONS This more difficult level has been included to challenge those students who are more gifted at Maths. Usually the questions are more sentence and problem oriented, and therefore they involve more reading and comprehension skills. It is unlikely that any of the questions in this level can be done mentally, because several different ideas, rules or steps are usually required. Because 'problem solving' is becoming very important in examinations, we have tried to include at least 1 exercise at the end of each chapter.

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Contents

• Further Algebra and Factorisation [Number & Algebra strand]
• Simultaneous Equations [Number & Algebra strand]
• Further Financial Mathematics [Number & Algebra strand]
• Quadratic Equation [Number & Algebra strand]
• Graphs of Parabolas, Curves and Regions [Number & Algebra strand]
• Surface Area and Volume [Measurement & Geometry strand]
• Simultaneous Equations and Graphs [Number & Algebra strand]
• Statistics [Statistics & Probability strand]
• Probability [Statistics & Probability strand]
• Similarity [Measurement & Geometry strand]
• Further Trigonometry [Measurement & Geometry strand]
• Circle Geometry [Measurement & Geometry strand]
• Logarithms [Number & Algebra strand]
• Polynomials [Number & Algebra strand]
• Functions [Number & Algebra strand]
• Solutions to graded exercises (worked solutions to the more difficult exercises)