The papers from the Feb-Mar supplementary examinations were released to the public on 26 July 2017. This post shows the high-level analysis of Paper 1, leading to the detailed analysis of each of the questions in this paper.
These papers can be downloaded from the DBE web site.
I am analysing these papers in detail, one question at a time, and also providing some worked solutions, and also guidance on how to improve your skills to be able to increase you success on these, which will include how to fill in the gaps in your knowledge and proficiency.
Paper 1 has questions which are related to algebra, functions and graphs, sequences and series, calculus, and probability. Each question is identified by its contribution to the total maths mark. There are two papers each of which provide 150 marks, with a total of 300 marks making up 100%.
Each of these questions will open up to a more detailed analysis with worked solutions which are explained in terms of expectations and how you can maximise your marks.
Question 1: Algebra (22 marks = 22/300 = 7.3% of total maths mark)
This is a standard structure which relates to basic algebra and which should be completed successfully by all learners. Using a knowledge of equations, solutions to equations, exponents, and basic functional forms.
Question 2: Geometric Sequence and Series (12/300 = 4%)
Identifying terms and sums, and some dependency between the questions. This requires the understanding of these sequences and the ability and apply to select the right formulas, which are provided in the paper.
Question 3: Quadratic Sequence (13/300 = 4.3%)
There is almost always a question on quadratic sequences, and the relationship to the first difference as an arithmetic sequence. This should be achievable by most learners.
Question 4: Graphs: Log and Hyperbola (14/300 = 4.7%)
This question requires a thorough understanding of the knowledge of graphs, arising from work in Grades 10-12.
Question 5: Graphs: Parabola and Linear (22/300 = 7.3%)
There are two parts to this question of which the first is based on element of graphs, with the second requiring more analysis and reasoning to get to the required answer.
Question 6: Finance (16/200 = 5.3%)
Much of this is in the application of the formulas as presented in the attached list of formulas and equations. Most of these types of questions are similar in nature, and are also similar to questions found in the Mathematical Literacy papers.
Question 7: Calculus (14/200 = 4.7%)
The “first principles” question which appears consistently in Paper 1, and is concerned with the basis of calculus. This should be easy for all learner to be able to succeed in and to get full marks. However, question 7.3 is more challenging and requires some further analysis.
Question 8: Calculus (14/200 = 4.7%)
Given a single cubic function, answer four separate questions, which draw on other elements of algebra.
Question 9: Calculus / Maximisation (7/300 = 2.3%)
This is a single question of 7 marks to find the optimal values from a diagram. This requires constructing the formula and then the application of the differential calculus methods. For many learners this will be the most difficult of the questions on this paper.
Question 10: Probability (11/300 = 3.7%)
A number of smaller questions concerning probability and combinations.
Question 11: Probability (5/200 = 1.7%)
This is a single question which uses data about the soccer team.
Total (150/300 = 50%)
Half of the maths mark is derived from this paper, and this is often seen as the easy paper, with Paper 2 including trigonometry and geometry. These will be examined later.