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Grade 10 · Mathematics · three levels

Grade 10 Quadratic equations worksheet in three levels

The same 20-question worksheet on quadratic equations in Support, Core and Challenge versions. Question by question, each version keeps the topic and changes the difficulty.

All three levels PDFAll three answer keysOriginal worksheet

Compare the three levels

Support

Easier questions on the same topics, for students who need more practice with the basics.

Questions
20 (20 medium)
Grade range
Grades 8 to 11
Topics
Quadratic equations

Sample questions

  1. Expand (1x + 11)². What is the coefficient of x?
  2. Expand (12x + 4)². What is the coefficient of x?
  3. Expand (8x + 20)². What is the coefficient of x?

Core

Questions at the expected level for the grade.

Questions
20 (20 medium)
Grade range
Grades 8 to 11
Topics
Quadratic equations

Sample questions

  1. Expand (2x + 16)². What is the coefficient of x?
  2. Expand (10x + 24)². What is the coefficient of x?
  3. Expand (4x + 30)². What is the coefficient of x?

Challenge

Harder questions on the same topics, for students who are ready to stretch.

Questions
20 (20 challenge)
Grade range
Grades 9 to 12
Topics
Quadratic equations

Sample questions

  1. The graph y = 2x² + 4x + 3 has axis x = k. Find k.
  2. Find the smaller root of (x − 25)(x − 36) = 0.
  3. Find the discriminant of 3x² + 19x + 3 = 0.

Using the three versions

  • Start everyone with the same short explanation, then hand out Support, Core or Challenge.
  • Question numbers line up across the versions, so you can go through the answers with the whole class.
  • The PDF has a cover page and each version on its own pages; the answer keys PDF has all three keys.

See the original worksheet or browse more three-level worksheets.