Could not load assets. Please refresh the page.

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 AI HL, Paper 1, May, 2022, TZ2, Solved Past Paper

Master the 2022 IB May for Paper 1 Mathematics AI HL with examiner tailored solutions and comments for TZ2

Question 1 [Explained]

A total of 130 candidates applied for admission to a university, choosing either the Arts or the Sciences programme. Their application results are categorized and displayed in a table, which illustrates the number of acceptances and rejections for each programme.

Question 1 (Figure)
Question 1 [a] [Explanation]

Calculate the likelihood that a randomly selected applicant from a specified group was admitted to a particular university.

 

This question essentially asks you to determine the probability of acceptance for an applicant from a certain group based on available data. It involves statistical analysis to ascertain how likely it is that an individual, chosen at random from this group, has been offered admission.

Video Solution by an IB Examiner - Coming soon

Question 1 [b] [Explanation]

Consider a scenario where we randomly select a candidate from a group, and it's known that this particular individual was successfully admitted to their desired programme. Let's calculate the likelihood that the person originally applied to the Arts programme. This calculation involves identifying the proportion of Arts programme applicants within the group of all accepted individuals.

Video Solution by an IB Examiner - Coming soon

Question 1 [c] [Explanation]

Imagine we have a group of people, and we need to select two of them randomly. The question is to calculate the likelihood that both individuals selected belong to those who have applied to an Arts program. This involves understanding the proportion of Arts applicants within the overall group and how their numbers influence the chances of both chosen individuals being from this subgroup.

Video Solution by an IB Examiner - Coming soon

Question 2 [Explained]

In a convenience store, two security cameras, designated as C1 and C2, are installed at a height of 3.1 meters from the floor. The cameras are set to point directly towards the center of the store's cash register, labeled as R. The cash register is elevated 1.0 meter off the ground and is positioned centrally on a counter.

 

The total horizontal distance separating the cameras is 6.4 meters. Camera 1, positioned on the left, is 2.8 meters away from the center of the cash register, which is horizontally aligned. The setup is illustrated in a diagram, emphasizing the layout and distances crucial for a security analysis.

Question 2 (Figure)