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Transformations of Graphs
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Presentation and Interpretation of Data
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Presentation and Interpretation of Data
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Pure Mathematics 1

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Can you give me a Level IV Binomial Expansion question?
Level IV·Binomial Expansion

Find the first 4 terms in the expansion of (2 + 3x)⁸ in ascending powers of x.

Hence find the coefficient of x³ in the expansion of (1 − x)(2 + 3x)⁸.

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Practice Set A2025-26 · Toolbox Maths
A

Pure Mathematics I

15 questions • 100 marks • 120 min

B

Pure Mathematics II

15 questions • 100 marks • 120 min

C

Mechanics

7 questions • 50 marks • 60 min

A

Statistics

8 questions • 50 marks • 60 min

Practice Set B
A*

Pure Mathematics I

14 questions • 100 marks • 120 min

B

Pure Mathematics II

16 questions • 100 marks • 120 min

C

Mechanics

8 questions • 50 marks • 90 min

—

Statistics

7 questions • 50 marks • 60 min

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QSchemeMark
1(a)Expands (2 + 3x)⁴ using binomial theoremB1
Correct coefficients: 4C1, 4C2, ...M1
= 16 + 96x + 216x² + 216x³ + ...A1
1(b)Substitutes x = 0.01 into expansionM1
= 19.2523...A1
2(a)Uses product rule: u = x², v = sin xM1
dy/dx = 2x sin x + x² cos xA1
2(b)Sets derivative equal to zeroM1

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Modelling with Calculus90

Modelling with Calculus

Integration

Constructing Differential Equations82

Constructing Differential Equations

Integration

Binomial Expansion Validity61

Binomial Expansion Validity

Sequences and Series

Circle Properties54

Circle Properties

Coordinate Geometry

Radian Measure35

Radian Measure

Trigonometry

Sigma Notation28

Sigma Notation

Sequences and Series

Modelling with Calculus90

Modelling with Calculus

Integration

Constructing Differential Equations82

Constructing Differential Equations

Integration

Binomial Expansion Validity61

Binomial Expansion Validity

Sequences and Series

Circle Properties54

Circle Properties

Coordinate Geometry

Radian Measure35

Radian Measure

Trigonometry

Sigma Notation28

Sigma Notation

Sequences and Series

Modelling with Calculus90

Modelling with Calculus

Integration

Constructing Differential Equations82

Constructing Differential Equations

Integration

Binomial Expansion Validity61

Binomial Expansion Validity

Sequences and Series

Circle Properties54

Circle Properties

Coordinate Geometry

Radian Measure35

Radian Measure

Trigonometry

Sigma Notation28

Sigma Notation

Sequences and Series

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