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Higher Maths Prelim Revision Booklet

Knox Academy

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Introduction

This booklet is designed to help you prepare for your upcoming Maths prelim.

It contains a selection of questions from each of the following topics,

The Straight Line

Vectors

The Circle

Recurrence Relationships (Sequences)

Functions and Graphs

Differentiation

Optimisation (Max/Min Problems)

Integration

Finding the Area Under a Curve

Quadratics Functions

Polynomials

You can expect each of these topics to appear in your prelim, so it would be

advisable to try as many of the practice questions as you can and if you require

any extra help or advice please see your teacher at the earliest opportunity.

The use of the following calculator symbol indicates that a calculator

may be used.

All other questions should be considered non-calculator.

Additional materials for revision can be found on the Maths Department

website at

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http://www.ka-net.org.uk/faculties/numeracy-and-technology/mathematics/s4-6-

mathematics/higher-mathematics

The Straight Line

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2.

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Vectors

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2.

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4.

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5.

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The Circle

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5.

6.

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Recurrence Relationships (Sequences)

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2.

3.

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4.

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Functions and Graphs

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2.

3.

4.

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6.

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Differentiation

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3.

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6.

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Differentiation (Optimisation)

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3.

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Integration

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5.

6.

7.

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Integration (Area Under a Curve)

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2.

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3.

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Quadratic Functions

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2.

3.

4.

Polynomials.

1.

2. Given that (x – 1) is a factor of x3 +3x

2 + x -5. Factorise this cubic fully.

3.

4.