These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
02 Hours
110 Marks
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IB MATH AA HL, Paper 2, May, 2021, TZ2, Solved Past Paper
Master the 2021 IB May for Paper 2 Mathematics AA HL with examiner tailored solutions and comments for TZ2
Question 1 [Explained]
Consider a café where the duration from placing an order to receiving a coffee depends on how many people are ahead in the queue. Sarah, who visits this café regularly, recorded her waiting times over five consecutive days. The table provides the number of customers x, who placed orders before her on each day, and her respective waiting times y, in minutes.
The task is to establish a mathematical relationship between x and y using a linear regression model. The model takes the form y = ax + b, where 'a' and 'b' are constants to be determined based on the data.
Number of customers (x) | 3 | 9 | 11 | 10 | 5 |
Sarah’s waiting time (y) | 6 | 10 | 12 | 11 | 6 |
Question 1 [a] [i] [Explanation]
Find the values of a and b.
Question 1 [a] [ii] [Explanation]
Calculate the value of Pearson’s product-moment correlation coefficient, (r).
Question 1 [b] [Explanation]
In part (a)(i), we determined the value of 'a'. Could you explain what this value signifies in relation to the scenario described?
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Question 1 [c] [Explanation]
On another occasion, Sarah goes to a café to order coffee. There are already seven people ahead of her waiting for their coffee orders.
Based on the calculation from part (a)(i), could you estimate how long Sarah might have to wait to receive her coffee?
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Question 2 [Explained]
An arithmetic sequence begins with a first term of 60, and each subsequent term decreases by 2.5, referred to as the common difference.
Question 2 [a] [Explanation]
In the context of a given sequence, if we know that a certain term, denoted as the (k)-th term, is zero, how can we find the value of (k)
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