Practice Inquiry-Based Challenge - 7 | 2. Quadratic Equations | IB Class 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation