- IBDP Maths AA SL- IB Style Practice Questions with Answer-Topic Wise-Paper 1
- IBDP Maths AA SL- IB Style Practice Questions with Answer-Topic Wise-Paper 2
- IB DP Maths AA HL- IB Style Practice Questions with Answer-Topic Wise-Paper 1
- IB DP Maths AA HL- IB Style Practice Questions with Answer-Topic Wise-Paper 2
Paper 1
External assessment details—SL
Analysis and Approach SL Paper 1
Duration: 1 hour 30 minutes
Weighting: 40%
- This paper consists of section A, short-response questions, and section B, extended-response questions.
- Students are not permitted access to any calculator on this paper.
Syllabus coverage
Knowledge of all SL topics is required for this paper. However, not all topics are necessarily assessed in every examination session.
Mark allocation
- This paper is worth 80 marks, representing 40% of the final mark.
- Questions of varying levels of difficulty and length are set. Therefore, individual questions may not necessarily each be worth the same number of marks. The exact number of marks allocated to each question is indicated at the start of the question.
Section A
- This section consists of compulsory short-response questions based on the whole syllabus. It is worth approximately 40 marks.
- The intention of this section is to assess students across the breadth of the syllabus. However, it should not be assumed that the separate topics are given equal emphasis.
- Question type
- A small number of steps are needed to solve each question.
- Questions may be presented in the form of words, symbols, diagrams or tables, or combinations of these.
Section B
- This section consists of a small number of compulsory extended-response questions based on the whole syllabus. It is worth approximately 40 marks.
- Individual questions may require knowledge of more than one topic.
- The intention of this section is to assess students across the breadth of the syllabus in depth. The range of syllabus topics tested in this section may be narrower than that tested in section A.
- Question type
- Questions require extended responses involving sustained reasoning.
- Individual questions will develop a single theme.
- Questions may be presented in the form of words, symbols, diagrams or tables, or combinations of these.
- Normally, each question reflects an incline of difficulty, from relatively easy tasks at the start of a question to relatively difficult tasks at the end of a question. The emphasis is on sustained reasoning.
Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations.
Analysis and Approach SL Paper 2
Duration: 1 hour 30 minutes
Weighting: 40%
- This paper consists of section A, short-response questions, and section B, extended-response questions.
- A GDC is required for this paper, but not every question will necessarily require its use.
Syllabus coverage
Knowledge of all SL topics is required for this paper. However, not all topics are necessarily assessed in every examination session.
Mark allocation
- This paper is worth 80 marks, representing 40% of the final mark.
- Questions of varying levels of difficulty and length are set. Therefore, individual questions may not necessarily each be worth the same number of marks. The exact number of marks allocated to each question is indicated at the start of the question.
Section A
- This section consists of compulsory short-response questions based on the whole syllabus. It is worth approximately 40 marks.
- The intention of this section is to assess students across the breadth of the syllabus. However, it should not be assumed that the separate topics are given equal emphasis.
- Question type
- A small number of steps are needed to solve each question.
- Questions may be presented in the form of words, symbols, diagrams or tables, or combinations of these.
Section B
- This section consists of a small number of compulsory extended-response questions based on the whole syllabus. It is worth approximately 40 marks.
- Individual questions may require knowledge of more than one topic.
- The intention of this section is to assess students across the breadth of the syllabus in depth. The range of syllabus topics tested in this section may be narrower than that tested in section A.
- Question type
- Questions require extended responses involving sustained reasoning.
- Individual questions will develop a single theme.
- Questions may be presented in the form of words, symbols, diagrams or tables, or combinations of these.
- Normally, each question reflects an incline of difficulty, from relatively easy tasks at the start of a question to relatively difficult tasks at the end of a question. The emphasis is on sustained reasoning.
Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. Solutions found from a graphic display calculator should be supported by suitable working. For example, if graphs are used to find a solution, you should sketch these as part of your answer. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working.
SL
- Time: 45 minutes (30 marks)
- 30 multiple – choice questions (core)
- No marks deducted from incorrect answers
- NO CALCULATOR ALLOWED
- Data booklet provided
- 20% weight
Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. Solutions found from a graphic display calculator should be supported by suitable working. For example, if graphs are used to find a solution, you should sketch these as part of your answer. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working.
IB Diploma Maths analysis and approaches IB Style questions SL Paper 1
Topic 1: Number and algebra– SL content
- Topic : SL 1.1
- Topic : SL 1.2
- Topic : SL 1.3
- Topic : SL 1.4
- Topic : SL 1.5
- Topic : SL 1.6
- Topic : SL 1.7
- Topic : SL 1.8
- Topic : SL 1.9
Topic 2: Functions– SL content
- Topic: SL 2.1
- Topic: SL 2.2
- Concept of a function, domain, range and graph. Function notation, for example f(x), v(t), C(n). The concept of a function as a mathematical model.
- Informal concept that an inverse function reverses or undoes the effect of a function. Inverse function as a reflection in the line y = x, and the notation f−1(x).
- Topic: SL 2.3
- Topic: SL 2.4
- Topic: SL 2.5
- Composite functions.
- (f ∘ g)(x) = f(g(x))
- Identity function.
- Finding the inverse function f−1(x)
- (f ∘ f−1)(x) = (f−1∘ f)(x) = x
- Composite functions.
- Topic: SL 2.6
- Topic: SL 2.7
- Topic: SL 2.8
- Topic: SL 2.9
- Topic: SL 2.10
- Topic SL 2.11
Topic 3: Geometry and trigonometry-SL content
- Topic : SL 3.1
- The distance between two points in three dimensional space, and their midpoint.
- Volume and surface area of three-dimensional solids including right-pyramid, right cone, sphere, hemisphere and combinations of these solids.
- The size of an angle between two intersecting lines or between a line and a plane.
- Topic SL 3.2
- Topic SL 3.3
- Topic SL 3.4
- Topic SL 3.5
- Definition of \(\cos \theta \) , \(\sin \theta \) in terms of the unit circle and \(\tan \theta \) as \(\frac{sin\theta }{cos\theta }\).
- Exact values of \(\sin\), \(\cos\) and \(\tan\) of \(0\), \(\frac{\pi }{6}\), \(\frac{\pi }{4}\), \(\frac{\pi }{3}\), \(\frac{\pi }{2}\) and their multiples.
- Extension of the sine rule to the ambiguous case
- Topic SL 3.6
- Topic : SL 3.7
- Topic : SL 3.8
Topic 4 : Statistics and probability-SL content
- Topic: SL 4.1
- Topic: SL 4.2
- Topic: SL 4.3
- Topic: SL 4.4
- Linear correlation of bivariate data. Pearson’s product-moment correlation coefficient, r.
- Scatter diagrams; lines of best fit, by eye, passing through the mean point.
- Equation of the regression line of y on x.
- Use of the equation of the regression line for prediction purposes.
- Interpret the meaning of the parameters, a and b, in a linear regression y = ax + b.
- Topic: SL 4.5
- Topic: SL 4.6
- Use of Venn diagrams, tree diagrams, sample space diagrams and tables of outcomes to calculate probabilities.
- Combined events: P(A ∪ B) = P(A) + P(B) − P(A ∩ B).
- Mutually exclusive events: P(A ∩ B) = 0.
- Conditional probability; the definition \(P\left( {\left. A \right|P} \right) = \frac{{P\left( {A\mathop \cap \nolimits B} \right)}}{{P\left( B \right)}}\).
- Independent events; the definition \(P\left( {\left. A \right|B} \right) = P\left( A \right) = P\left( {\left. A \right|B’} \right)\) .
- Topic: SL 4.7
- Topic: SL 4.8
- Topic: SL 4.9
- Topic: SL 4.10
- Topic: SL 4.11
- Topic: SL 4.12
Topic 5: Calculus-SL content
- Topic SL 5.1
- Topic SL 5.2
- Topic SL 5.3
- Topic SL 5.4
- Topic: SL 5.5
- Introduction to integration as anti-differentiation of functions of the form f(x) = axn + bxn−1 + …., where n ∈ ℤ, n ≠ − 1.
- Anti-differentiation with a boundary condition to determine the constant term.
- Definite integrals using technology.
- Area of a region enclosed by a curve y = f(x) and the x -axis, where f(x) > 0.
- Topic: SL 5.6
- Topic: SL 5.7
- Topic: SL 5.8
- Topic SL 5.9
- Topic SL 5.10
- Topic SL 5.11