# IB Maths Past Paper Overviews

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**2020 November Maths Studies – Paper 1**

**Paper 2 (Click here to scroll down)**

**Paper 1 – Question 1**

Question 1 in Paper 1 of the IB Math Studies November 2020 exams involves number skills, assessing your understanding of rounding, scientific notation and percentage error.

2020 Mathematics Studies Paper 1 November TZ0 Question 1

Question Reference Code: 20N.1.studies.TZ0.1

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 2**

Question two presents a linear model, and you are required to interpret the two components (variable and constant) and answer some straight forward questions using the model.

2020 Mathematics Studies Paper 1 November TZ0 Question 2

Question Reference Code: 20N.1.studies.TZ0.2

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 3**

Question 3 is a Descriptive Statistics question, involving grouped data tables and histograms. A grouped data table is provided in the question and you are asked to identify the modal class, use your GDC to find the standard deviation, and then use the data to draw a histogram.

2020 Mathematics Studies Paper 1 November TZ0 Question 3

Question Reference Code: 20N.1.studies.TZ0.3

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 4**

Question 4 in Paper 1 looks challenging at first inspection, however it is quite easy and fast if you are confident using the graphing section of your calculator. A function and its graph is provided and you are asked to identify the coordinates of the x-intercept (zero), local minimum, and the intersection with another function provided in part c.

2020 Mathematics Studies Paper 1 November TZ0 Question 4

Question Reference Code: 20N.1.studies.TZ0.4

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 5**

**Topic**: Number & Algebra

**Sub Topic**: Currency Conversion

**Difficulty**: Medium

**Marks**: 6

Question 5 is all about currency conversion. No tricks or challenged to this question (no commission charged), so it directly assesses your understanding of how to convert between currencies given an exchange rate.

2020 Mathematics Studies Paper 1 November TZ0 Question 5

Question Reference Code: 20N.1.studies.TZ0.5

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 6**

**Topic**: Logic, Sets & Probability

**Sub Topic**: Probability

**Difficulty**: Medium

**Marks**: 6

Question 6 is a moderately difficult probability question, assessing your understanding of constructing and using tree diagrams, and conditional probability.

2020 Mathematics Studies Paper 1 November TZ0 Question 6

Question Reference Code: 20N.1.studies.TZ0.6

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 7**

**Topics**: Discriptive Statistics & Mathematical Models

**Sub Topics**: Mean, Median, Mode & Solving Simultaneous Equations

**Difficulty**: Medium/Hard

**Marks**: 6

Question 7 is an interesting and somewhat unusual question, involving both descriptive statistics and mathematical models. The earlier parts assess your understanding of how to calculate the median and mode of a data set, then the later parts involve setting up two linear equations and then solving them.

2020 Mathematics Studies Paper 1 November TZ0 Question 7

Question Reference Code: 20N.1.studies.TZ0.7

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 8**

Question 8 is a straight forward compound interest question, assessing your understanding of how to use the compound interest formula to find the future value (part a) and present value (part b).

2020 Mathematics Studies Paper 1 November TZ0 Question 8

Question Reference Code: 20N.1.studies.TZ0.8

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 9**

2020 Mathematics Studies Paper 1 November TZ0 Question 9

Question Reference Code: 20N.1.studies.TZ0.X9

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 10**

**Topic**: Statistical Application

**Sub Topic**: Hypothesis Testing

**Difficulty**: Medium

**Marks**: 6

Question 10 involves a Chi-squared test of independence. You are asked to identify the null hypothesis, find the expected value of a particular cell in the data table, and finally, when given the p-value, state the conclusion for the test.

2020 Mathematics Studies Paper 1 November TZ0 Question 10

Question Reference Code: 20N.1.studies.TZ0.10

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 11**

**Topic**: Mathematical Models

**Sub Topic**: Quadratic Models

**Difficulty**: Medium

**Marks**: 6

Question 11 assesses your understanding of quadratic functions. The graph of a quadratic is given, with the coordinates of its turning point. Using this, you are asked to interpret the values of the a, b and c values of the standard form of a quadratic.

2020 Mathematics Studies Paper 1 November TZ0 Question 11

Question Reference Code: 20N.1.studies.TZ0.11

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 12**

**Topic**: Mathematical Models

**Sub Topic**: Exponential Models

**Difficulty**: Medium

**Marks**: 6

2020 Mathematics Studies Paper 1 November TZ0 Question 12

Question Reference Code: 20N.1.studies.TZ0.12

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 13**

**Topic**: Differential Calculus

**Sub Topic**: Gradients of Tangents & Normals

**Difficulty**: Hard

**Marks**: 6

2020 Mathematics Studies Paper 1 November TZ0 Question 13

Question Reference Code: 20N.1.studies.TZ0.13

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 14**

**Topic**: Logic, Sets & Probability

**Sub Topic**: Probability

**Difficulty**: Hard

**Marks**: 6

Question 14 is a challenigng probability question involving a tree diagram and conditional probability.

2020 Mathematics Studies Paper 1 November TZ0 Question 14

Question Reference Code: 20N.1.studies.TZ0.14

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**Paper 1 – Question 15**

**Topic**: Number & Algebra

**Sub Topic**: Sequences & Series

**Difficulty**: Medium

**Marks**: 6

Question 15, the final question in Paper 1, involves geometric sequences and series. You are asked to use the second and fifth term to calculate the common ratio, the first term, and finally, the number of terms in the sequence given the total sum of terms.

2020 Mathematics Studies Paper 1 November TZ0 Question 15

Question Reference Code: 20N.1.studies.TZ0.15

*N20/5/MATSD/SP1/ENG/TZ0/XX*

**2020 November Maths Studies – Paper 2**

**Paper 2 – Question 1**

**Topic**: Statistical Application

**Sub Topic**: Bivariate Statistics

**Difficulty**: Medium

**Marks**: A19

Question 1 in Paper 2 of the November 2020 IB Mathematics Studies exams is a very common Paper 2 bivariate statistics question. A table of data is provided and you are required to progress through a series of questions involving scatter plots, correlation and the line of regression equation.

2020 Mathematics Studies Paper 2 November TZ0 Question 1

Question Reference Code: 20N.2.studies.TZ0.1

*N19/5/MATSD/SP2/ENG/TZ0/XX*

**Paper 2 – Question 2**

**Topic**: Logic, Sets & Probability

**Sub Topic**: Venn Diagrams

**Difficulty**: Medium

**Marks**: 12

Question 2 in Paper 2 involves a 3-set Venn diagram. You are required to use this Venn diagram to answer a series of interpretation and probability questions.

2020 Mathematics Studies Paper 2 November TZ0 Question 2

Question Reference Code: 20N.2.studies.TZ0.2

*N19/5/MATSD/SP2/ENG/TZ0/XX*

**Paper 2 – Question 3**

**Topic**: Geometry & Trigonometry

**Sub Topic**: Trigonometry

**Difficulty**: Medium

**Marks**: 15

2020 Mathematics Studies Paper 2 November TZ0 Question 3

Question Reference Code: 20N.2.studies.TZ0.3

*N20/5/MATSD/SP2/ENG/TZ0/XX*

**Paper 2 – Question 4**

**Topic 1**: Geometry & Trigonometry

**Topic 2**: Differential Calculus

**Sub Topics**: Geometry of 3D Shapes

**Sub Topics**: Optimisation

**Difficulty**: Hard

**Marks**: 11

2020 Mathematics Studies Paper 2 November TZ0 Question 4

Question Reference Code: 20N.2.studies.TZ0.4

*N20/5/MATSD/SP2/ENG/TZ0/XX*

**Paper 2 – Question 5**

**Topic 1**: Geometry & Trigonometry

**Topic 2**: Number & Algebra

**Sub Topic 1**: Geometry of 3D Shapes

**Sub Topic 2**: Sequences & Series

**Difficulty**: Hard

**Marks**: 16

2020 Mathematics Studies Paper 2 November TZ0 Question 5

Question Reference Code: 20N.2.studies.TZ0.5

*N20/5/MATSD/SP2/ENG/TZ0/XX*

**Paper 2 – Question 6**

**Topic**: Statistical Application

**Sub Topic**: Normal Distribution

**Difficulty**: Hard

**Marks**: 17

Question 6 of Paper 2, the final question for the November 2020 IB Mathematics Studies exams, is all about the normal distribution. The question progresses through a range of different questions; sketching a normal distribution curve, finding probabilities, using probabilities to find values etc. Solving these questions requires a strong understanding of the normal distribution and related functions on your Graphics Display Calculator. A challenging finish to the exams.

2020 Mathematics Studies Paper 2 November TZ0 Question 6

Question Reference Code: 20N.2.studies.TZ0.6

*N20/5/MATSD/SP2/ENG/TZ0/XX*