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 NOT allowed
IB MATH AA HL, Paper 1, May, 2022, TZ1, Solved Past Paper
Master the 2022 IB May for Paper 1 Mathematics AA HL with examiner tailored solutions and comments for TZ1
Question 1 [Explained]
To find the integral value of \(( \displaystyle\int_1^9 \left(\frac{3\sqrt{x} - 5}{\sqrt{x}}\right) , dx )\), we need to simplify the expression under the integral sign.
This involves expressing the function in terms of (x) by simplifying the fraction. By considering the roots and algebraic manipulation, we can then apply standard calculus integration techniques over the interval from 1 to 9.
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Question 2 [Explained]
During a study conducted at a public pool, each family was represented by one adult, whose age is denoted as a years. The age of their eldest child, represented as c years, was also recorded.
This data was specifically focused on the ages of the eldest children and is visually presented in a box and whisker plot to summarize their distribution.
Question 2 [a] [Explanation]
Determine the greatest value of c that would not qualify as an outlier.
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Question 2 [b] [Explanation]
In this question, we're looking at relationships between two variables, a and c. Specifically, the task involves examining two regression lines. The first regression line expresses a as a function of c, given by
\(( a = \frac{7}{4} + 20c )\).
The second regression line details how c can be predicted from a, and is represented as
\(( c = \frac{1}{2}a - 9 )\).
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Question 2 [b] [i] [Explanation]
Given that one of the adults is 42 years old, could you estimate the age of this person's eldest child?
Question 2 [b] [ii] [Explanation]
Determine the average age of all the adults included in the survey. This question seeks to find the central age that represents the typical age across a group of adults, by calculating the mean of their ages.