BUZZO

Grade 10 · Algebra

Algebra quiz for grade 10: The derivative

This quiz helps revise “The derivative” in Algebra for grade 10. It has 25 questions in five categories: Meaning of Derivative, Derivative Table, Rules, Graph and Sign, Motion and Problems. Questions get harder as the points go up, from 100 to 500.

  • For ages 15–16
  • 25 questions · 5 categories

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Buzzo quiz: The derivative

A peek at the questions

The 100- and 200-point questions are open here. The rest show only their first words, and there are no answers: all of that is in the game itself.

Meaning of Derivative

  1. 100

    Which characteristic of the tangent to y=f(x) at x=a equals f′(a)?

  2. 200

    For position s(t), what physical quantity does s′(t) give?

  3. 300

    What is the expression…

    In the game
  4. 400

    What property is guaranteed…

    In the game
  5. 500

    What can be said…

    In the game

Derivative Table

  1. 100

    What is the derivative of the constant function f(x)=7?

  2. 200Picture for the question

    Find the derivative of f(x)=x².

  3. 300

    Find the…

    In the game
  4. 400

    Find the derivative of…

    In the game
  5. 500

    Find the derivative of…

    In the game

Rules

  1. 100Picture for the question

    Find the derivative of f(x)=4x³.

  2. 200

    Find the derivative of f(x)=x³+2x.

  3. 300

    Find the…

    In the game
  4. 400

    Find the derivative…

    In the game
  5. 500

    Find the…

    In the game

Graph and Sign

  1. 100

    How does a function behave on an interval where f′(x)>0?

  2. 200

    How does a function behave on an interval where f′(x)<0?

  3. 300

    What local extremum does…

    In the game
  4. 400

    For f(x)=x³−3x, at…

    In the game
  5. 500

    What local extremum occurs…

    In the game

Motion and Problems

  1. 100Picture for the question

    Motion is s(t)=t². What is s′(3) in m/s?

  2. 200

    Motion is s(t)=2t³. What is s′(2) in m/s?

  3. 300

    Given v(t)=3t²−2t, what…

    In the game
  4. 400

    A rectangle has perimeter…

    In the game
  5. 500

    For f(x)=x³−6x²+9x, at which…

    In the game

Play this quiz

All 25 questions and the answers are in the game. Invite your class or friends with a link — guests need no account.

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How it works

  1. Pick a quiz and press “Play”.
  2. Send students or friends the link — they join from a phone or a computer.
  3. Choose questions on the board, buzz in first and collect points.

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