Cheat Sheet
Quadratics Cheat Sheet: Factoring and Solving
A one-page summary of everything needed to factor and solve quadratic equations: the sum-and-product method, common factors, difference of…
- Difficulty
- Level 3 · Challenge
- Time
- 15 min
Topic Test10th GradeLevel 3 · Challenge
Free 10th Grade Quadratics Topic Test
Expanding binomials, factoring and solving quadratic equations in a 45-minute 10th Grade test with marks and fully worked solutions.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Grade
- 10th Grade
- Subject
- Math
- Topic
- Quadratics
- Difficulty
- Level 3 · Challenge
- Estimated time
- 45 minutes
- Curriculum
- Texas grade levels (TEKS)
- Questions
- 18
- Answers
- Included, with working
- Format
- PDF (A4) + print
Students will practice
- expanding binomial products
- collecting like terms
- working with negative terms
- factoring quadratic expressions
- finding factor pairs
- applying the zero product property
Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: 10th Grade Quadratics Topic Test
How to use this topic test
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this topic test for?
10th Grade students (typically ages 15–16) working on quadratics. It is pitched at level 3 · challenge.
Are the answers included?
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
How long does it take?
About 45 minutes for 18 questions. Short, regular sessions work best: two or three a week beats one long one.
Do I need to sign up to download?
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
What should we do next?
Try 10th Grade Systems of Equations Worksheet — Level 1.
Preview
Success TutoringWorksheets10th Grade · Mathematics · Quadratics10th Grade Quadratics Topic Test
Name
Date
Score /
Time allowed: 45 minutes. Total marks: 36. Show your work — marks are given for method as well as answers.
Part A: Expanding Expressions (Distributive Property)
1.Expand and simplify: (x − 2)(x − 9)[2 marks]
2.Expand and simplify: (x − 6)(x + 8)[2 marks]
3.Expand and simplify: (x + 7)(x − 1)[2 marks]
4.Expand and simplify: (x − 6)(x − 1)[2 marks]
5.Expand and simplify: (x − 8)(x + 3)[2 marks]
Part B: Factoring and Solving Quadratics
6.Factor: x2 + x − 42[2 marks]
7.Factor: x2 + 18x + 81[2 marks]
8.Factor: x2 + x − 72[2 marks]
9.Factor: x2 − 8x + 15[2 marks]
10.Factor: x2 + 4x + 3[2 marks]
Part C: Factoring and Solving Quadratics
11.Solve: x2 − 4x − 21 = 0[2 marks]
12.Solve: x2 + 3x − 18 = 0[2 marks]
Preview — the PDF contains the full resource and answer sheet.
More 10th Grade quadratics resources
- Worksheet
10th Grade Factoring and Solving Quadratics Worksheet — Level 1
Factor monic quadratics and solve quadratic equations by factoring. Builds confidence with the core skill before adding complexity. This…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
10th Grade Factoring and Solving Quadratics Worksheet — Level 2
Factor monic quadratics and solve quadratic equations by factoring. Expected-level practice for this grade. This 10th Grade worksheet has…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
10th Grade Factoring and Solving Quadratics Worksheet — Level 2 (Set 2)
Factor monic quadratics and solve quadratic equations by factoring. Expected-level practice for this grade. This 10th Grade worksheet has…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
10th Grade Factoring and Solving Quadratics Worksheet — Level 3
Factor monic quadratics and solve quadratic equations by factoring. A challenge set for students ready to stretch further. This 10th Grade…
- Difficulty
- Level 3 · Challenge
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
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About this resource
- Created by
- Success Tutoring Maths Team
- Reviewed by
- Success Tutoring
- Last reviewed
- 1 October 2026
- How it was made
- Generated by checked procedures
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