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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, 2022, TZ1, Solved Past Paper

Master the 2022 IB May for Paper 2 Mathematics AA HL with examiner tailored solutions and comments for TZ1

Question 1 [Explained]

Imagine a dataset detailing the weekly exercise durations of a student group, represented in a structured table. We're identifying a point in this data where exactly half of the students have spent less time being active and the other half more. This specific value is called the median, and for our set, it's pinpointed at 4.5 hours.

Exercising time (in hours)	Number of students
2	5
3	1
4	4
5	3
6	x

Question 1 [a] [Explanation]

Determine the exact numerical value that 'x' represents within the given mathematical context or equation.

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Question 1 [b] [Explanation]

How can we calculate the measure of how much the individual values in a set of numbers differ from the average value in that set? This measure is known as the standard deviation, and it's a way to see whether each number is close to or far from the average.

Video Solution by an IB Examiner - Coming soon

Question 2 [Explained]

A business is in the process of crafting a unique emblem by subtracting two identical parts from a rectangle. The emblem's dimensions are a width of 5 cm and a height of 4 cm. Imagine a circle with center O and a radius of 2 cm. Now, picture two points, A and B, lying on this circle. These points are positioned in such a way that the angle AOB is equal to $(θ)$ , where $(θ)$ is greater than 0 but less than $π$ radians.

This scenario is depicted in the diagram provided, which showcases the innovative approach the company is taking to design its emblem.