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
Calculator is allowed
IB MATH AA HL, Paper 2, May, 2023, TZ2, Solved Past Paper
Master the 2023 IB May for Paper 2 Mathematics AA HL with examiner tailored solutions and comments for TZ2
Question 1 [Explained]
A plant scientist is tracking how plants increase in height over a period of time. Measurements are taken on seven separate occasions.
The data presented outlines the number of days, d, since the start of the observation and the average height, h centimeters, for each of those days.
It's been established that the relationship between the days passed and the plant heights is highly linear, as indicated by a Pearson correlation coefficient of 0.991.
Number of days (d) | 2 | 5 | 13 | 24 | 33 | 37 | 42 |
Average height (h) | 10 | 16 | 30 | 59 | 76 | 79 | 82 |
Question 1 [a] [Explanation]
Consider a dataset where 'h' corresponds to various 'd' values. We seek a straightforward equation representing a line closely mirroring the 'h' and 'd' relationship from this data.
This equation is known as the regression line, expressed as (h = ad + b), where (a) denotes the line's gradient, and (b) is the vertical axis's intersection point. The objective is to determine the precise values for (a) and (b) that result in the optimal line fit for our dataset.
Video Solution by an IB Examiner - Coming soon
Question 1 [b] [Explanation]
Let's forecast the average height that our plants are likely to reach after they have been growing for 20 days, using the trend line we've previously established through regression analysis.
Video Solution by an IB Examiner - Coming soon
Question 2 [Explained]
Consider two buildings on flat ground with point P positioned directly between them. The angle of elevation from point P to the top of each building is denoted by θ. The line segment from point P to point A at the peak of the taller building measures 150 meters, while the segment from point P to point B at the top of the shorter building extends 90 meters. The horizontal distance separating the tops of the two buildings, from A to B, is 154 meters. You are tasked with determining the height of the taller building, represented as h.
