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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.

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 2, November, 2021, TZ0, Solved Past Paper

Master the 2021 IB November for Paper 2 Mathematics AI HL with examiner tailored solutions and comments for TZ0

Question 1 [Explained]

Consider a substantial water tank shaped like a reversed pyramid, with a flat square surface at the top, each side measuring 80 meters. At the center of this square is a point we call C, and the singular point at the pyramid's tip is noted as V.

 

Interestingly, the water doesn't fill the tank to the very top. There's a flat square at the tank's bottom, parallel to the top square, with sides of 60 meters. The space between this square and the top of the tank, which is 6 meters deep, is where the water resides.

 

Additionally, there is a cross-section of the tank, labeled as M-N-O-P-C, giving us a vertical slice through the center and showing the inner profile of the tank, resembling a triangle.

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

Determine how steeply point M is looking down to point N.

 

In straightforward terms, imagine you're standing at point M and you have to look down to see point N. The angle you tilt your head down by is what we call the angle of depression. This question asks us to calculate exactly how much that angle is.

Video Solution by an IB Examiner - Coming soon

Question 1 [b] [i] [Explanation]

Determine the coefficient of variation (CV).

 

This question asks you to calculate the coefficient of variation (CV) for a given set of data.

Video Solution by an IB Examiner - Coming soon

Question 1 [b] [ii] [Explanation]

Could you illustrate how a particular calculation leads to a reservoir having a volume of 29,600 cubic meters? This question is concerned with volumetric analysis, aiming to validate the occupied space of the water body.