Course

Credit Type:
Exam
ACE ID:
CAIE-0028
Version:
1
Organization's ID:
Further Mathematics 9231
Organization:
Cambridge International Education
Location:
Internationally
Length:
4 hours (AS Level); 3 hours (A Level)
ACE Credit Recommendation Period:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 Pre-Calculus
Lower-Division Baccalaureate 8 Calculus I & Calculus II
Lower-Division Baccalaureate 3 Elementary/ Introductory Statistics
Lower-Division Baccalaureate 2 Elements of Finite Mathematics
Lower-Division Baccalaureate 2 Applications in Mechanics
Credit is recommended for examinees scoring "E" or above. This exhibit is being recommended for a total of 18 semester hours for those who complete both the AS and A level exams.
Description

Objective:

The AS Level exam consists of two parts, Paper 1 and Paper 3 OR Paper 1 and Paper 4. The Further Pure mathematics Paper 1 (two hours) includes 6-8 structured questions and accounts for 60% of the AS Level exam grade/30% of the A Level exam grade. The Further Mechanics Paper 3 (1.5 hours) exam includes 5-7 structured questions, comprising 40 percent of the AS Level exam grade/20% of the A Level exam grade. Paper 4, Further Probability & Statistics, (1.5 hours) exam is 5-7 structure questions accounting 40% of the AS Level exam grade and 20% of the A Level exam grade.

The A Level exam consists of an additional two parts, Papers 2 and Papers 3 OR Papers 2 and 4. Further Mathematics Paper 2 is 7-9 structured questions, allowed two hours, and is worth 30% of the A Level grade. It is compulsory at the A Level.

In all, students sitting for the Further Mathematics exam must take all four Papers to earn the A Level grade. Marks from the AS Level Papers are combined with marks from the A Level Papers to comprise the final A Level grade.

Skills Measured:

The Assessment Objectives are 1) Demonstrate mathematical knowledge and understanding of relevant mathematical concepts, terminology and notation and accurately recalling and using the appropriate mathematical manipulative techniques; and 2) Apply and communicate by recognizing the appropriate mathematical procedure for a given situation, applying appropriate combinations of mathematical skills and techniques in solving problems, and presenting relevant mathematical work, and communicate corresponding conclusions, in a clear and logical way.

1 Further Pure Mathematics (Paper 1)
1.1 Roots of polynomial equations
1.2 Rational functions and graphs
1.3 Summation of series
1.4 Matrices
1.5 Polar coordinates
1.6 Vectors
1.7 Proof by induction

2 Further Pure Mathematics 2 (Paper 2)
2.1 Hyperbolic functions
2.2 Matrices
2.3 Differentiation
2.4 Integration
2.5 Complex numbers
2.6 & 2.7 Differential equations

3 Further Mechanics (Paper 3)
3.1 Motion of a projectile
3.2 Equilibrium of a rigid body
3.3 Circular motion
3.4 Hooke’s law
3.5 Linear motion under a variable force
3.6 Momentum

4 Further Probability & Statistics (Paper 4)
4.1 Continuous random variables
4.2 Inference using normal and t-distributions
4.3 X2-tests
4.4 Non-parametric tests
4.5 Probability generating functions
Instruction & Assessment
Supplemental Materials
Equivalencies

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