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Use this content finder to find SolutionBank and GeoGebra interactives for Further Pure Mathematics Book 1/AS. The chapter links below take you the interactives for each chapter and to full worked solutions for each exercise.

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Chapters

1     Vectors

2     Conic sections 1

3     Conic sections 2

4     Inequalities

5     The t-formulae

Review exercise 1

6     Taylor series

7     Methods in calculus

8     Numerical methods

9     Reducible differential equations

Review exercise 2

Exam-style practice: AS

Exam-style practice: A level

 

1     Vectors

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      Page 2: Use GeoGebra to explore the cross product of two vectors.

      GeoGebra interactive

      Exercise 1A SolutionBank

      Page 8: Use GeoGebra to explore the area of a parallelogram using vector notation.

      GeoGebra interactive

      Exercise 1B SolutionBank

      Page 11: Use GeoGebra to explore the scalar triple product.

      GeoGebra interactive

      Exercise 1C SolutionBank

      Page 16: Explore the vector equation of a line, written using a cross product, with GeoGebra.

      GeoGebra interactive

      Exercise 1D SolutionBank

      Exercise 1E SolutionBank

      Mixed exercise 1 SolutionBank

2     Conic sections 1

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      Exercise 2A SolutionBank

      Page 35: Explore the focus-directrix properties of a parabola using GeoGebra.

      GeoGebra interactive

      Exercise 2B SolutionBank

      Exercise 2C SolutionBank

      Exercise 2D SolutionBank

      Exercise 2E SolutionBank

      Exercise 2F SolutionBank

      Exercise 2G SolutionBank

      Page 56: Qu.7 Explore the locus of M using GeoGebra.

      GeoGebra interactive

      Mixed exercise 2 SolutionBank

3     Conic sections 2

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      Page 63: Explore conic sections using GeoGebra.

      GeoGebra interactive

      Exercise 3A SolutionBank

      Exercise 3B SolutionBank

      Page 69: Explore the foci and directrices of an ellipse using GeoGebra.

      GeoGebra interactive

      Page 72: Explore the foci and directrices of a hyperbola using GeoGebra.

      GeoGebra interactive

      Exercise 3C SolutionBank

      Exercise 3D SolutionBank

      Exercise 3E SolutionBank

      Page 84: Explore the locus of the midpoint of AB using GeoGebra.

      GeoGebra interactive

      Exercise 3F SolutionBank

      Mixed exercise 3 SolutionBank

4     Inequalities

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      Exercise 4A SolutionBank

      Page 97: Explore the solution to the inequality using GeoGebra.

      GeoGebra interactive

      Exercise 4B SolutionBank

      Page 101: Explore the solution to the inequality using GeoGebra.

      GeoGebra interactive

      Exercise 4C SolutionBank

      Mixed exercise 4 SolutionBank

5     The t-formulae

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      Exercise 5A SolutionBank

      Exercise 5B SolutionBank

      Exercise 5C SolutionBank

      Exercise 5D SolutionBank

      Mixed exercise 5 SolutionBank

Review exercise 1

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      Review exercise 1 SolutionBank

6     Taylor series

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      Page 133: Explore the Taylor series expansion of f(x) = tan x using GeoGebra.

      GeoGebra interactive

      Exercise 6A SolutionBank

      Exercise 6B SolutionBank

      Exercise 6C SolutionBank

      Mixed exercise 6 SolutionBank

7     Methods in calculus

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      Exercise 7A SolutionBank

      Page 154: Explore the graph of this function using GeoGebra.

      GeoGebra interactive

      Exercise 7B SolutionBank

      Exercise 7C SolutionBank

      Mixed exercise 7 SolutionBank

8     Numerical methods

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      Page 162: Explore tangent fields using GeoGebra.

      GeoGebra interactive

      Exercise 8A SolutionBank

      Exercise 8B SolutionBank

      Exercise 8C SolutionBank

      Page 174: Explore the use of Simpson's rule to estimate the integral using GeoGebra.

      GeoGebra interactive

      Exercise 8D SolutionBank

      Mixed exercise 8 SolutionBank

9     Reducible differential equations

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      Exercise 9A SolutionBank

      Exercise 9B SolutionBank

      Exercise 9C SolutionBank

      Mixed exercise 9 SolutionBank

Review exercise 2

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      Review exercise 2 SolutionBank

Exam-style practice: AS

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      Practice exam paper 1 SolutionBank

Exam-style practice: A level

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      Practice exam paper 2 SolutionBank

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