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.
2 Hours
110 Marks
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IB MATH AI HL, Paper 1, November, 2021, TZ0, Solved Past Paper
Master the 2021 IB November for Paper 1 Mathematics AI HL with examiner tailored solutions and comments for TZ0
Question 1 [Explained]
Dilara is creating a kite, labeled ABCD, on a coordinate grid where each unit equals 10 cm.
The points A, B, and C have coordinates (2, 0), (0, 4), and (4, 6), respectively.
Point D lies on the x-axis. The line segment [AC] is perpendicular to [BD].
Refer to the diagram for a visual representation of this setup.
In simpler terms, Dilara is drawing a kite on a grid. The coordinates of three of the kite's points are given, and she needs to find the fourth point on the x-axis. Additionally, one of the kite's diagonals is perpendicular to the other.
Question 1 [a] [Explanation]
The question is asking us to determine the gradient (or slope) of the line passing through the points A and C.
The gradient is a measure of the steepness or incline of the line and is calculated by finding the ratio of the change in the y-coordinates to the change in the x-coordinates between the two points.
Video Solution by an IB Examiner - Coming soon
Question 1 [b] [Explanation]
Write down the slope of the line passing through the points B and D.
This question is asking for the slope (or gradient) of the line that intersects the specific points B and D on a graph. To find this, you will need to determine the change in the y-coordinates (vertical direction) relative to the change in the x-coordinates (horizontal direction) between the two points.
Video Solution by an IB Examiner - Coming soon
Question 1 [c] [Explanation]
Find the equation of the line passing through points B and D. Provide the equation in the form ax + by + d = 0, where the coefficients a, b, and d are integers.
This equation format requires you to express the relationship between the variables (x) and (y) using integer values for all coefficients, making it a standard linear equation.
Video Solution by an IB Examiner - Coming soon