Practice Inquiry-based Challenge (7) - Quadratic Equations - IB 10 Mathematics – Group 5, Algebra
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Inquiry-Based Challenge

Practice - Inquiry-Based Challenge

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What quadratic function describes the height of a ball thrown upwards?

💡 Hint: The general form is h(t) = at^2 + bt + c.

Question 2 Easy

Identify a condition for a quadratic equation to have real roots.

💡 Hint: D = b^2 - 4ac.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the discriminant tell us about a quadratic equation?

It confirms the roots.
It indicates the nature of the roots.
It shows the maximum height.

💡 Hint: Remember the different cases of the discriminant.

Question 2

Is the maximum height always achieved at the vertex of a downward-opening parabola?

True
False

💡 Hint: Think about the shape of the parabola.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A football is kicked from ground level with an initial velocity of 25 m/s. Find out how long it takes to reach the max height and what that height is.

💡 Hint: Remember to model the height as a function of time.

Challenge 2 Hard

A rock is thrown from a height of 15 m with a speed of 10 m/s. Formulate the quadratic equation representing its height over time and calculate its height after 1 second.

💡 Hint: Don’t forget to put in the time into the height function.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.