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
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IB MATH AI HL, Paper 1, May, 2022, TZ1, Solved Past Paper
Master the 2022 IB May for Paper 1 Mathematics AI HL with examiner tailored solutions and comments for TZ1
Question 1 [Explained]
The equation (h(t) = -4.8t2 + 21t + 1.2) represents how high a baseball is, in meters, after being hit by a bat. Here, (h(t)) refers to the height of the baseball above the ground, while (t) denotes the time, in seconds, from when the baseball was hit.
This function is a quadratic equation, typical for modeling the path of projectiles like a baseball, showing how the height changes with time after the initial impact.
Question 1 [a] [Explanation]
How high is the ball from the ground at the moment it is struck by the bat?
This question asks for the vertical position of the ball, relative to the ground, at the precise time it makes contact with the bat. It focuses on understanding the height of the ball in a specific instance during its motion, which is when the bat hits it.
Video Solution by an IB Examiner - Coming soon
Question 1 [b] [Explanation]
Determine the time t at which a ball reaches the ground.
This question is asking for the specific moment, measured as t, when a ball that has been in motion makes contact with the ground.
Video Solution by an IB Examiner - Coming soon
Question 1 [c] [Explanation]
Identify a suitable domain for t in this particular model.
The question is asking for the range of possible values that the variable t can take within the context of the given model. In other words, you need to specify the valid interval or set of values for t that makes sense within the constraints and assumptions of the model being used.
Video Solution by an IB Examiner - Coming soon
Question 2 [Explained]
Consider a scenario involving ticket sales for a concert, where different ticket types are sold at distinct prices. The total number of tickets sold is 600, and the collective revenue from these sales amounts to $7816. Among the tickets, adult tickets were sold in double the quantity compared to child tickets. Let's denote the number of adult tickets sold as x, child tickets as y, and student tickets as z.
The challenge here is to determine the exact numbers of adult, child, and student tickets sold that satisfy both the total tickets and total sales conditions while adhering to the ratio between adult and child ticket sales.
| Ticket Type | Price (in Australian dollars, $) |
|---|---|
| Adult | 15 |
| Child | 10 |
| Student | 12 |