Masters trail · ages 16+
Quadratic equations practice
Quadratics introduce equations with two solutions. Factorising is the quickest method when it works, and it builds strong algebra skills.
Number Quest's quadratic questions focus on factorising and solving, with explanations.
No sign-up, no ads. Works in any browser.
What the questions practise
- Finding roots by factorising
- Sum of the roots
- Expanding (x + a)(x + b)
Try some example questions
Tap a question to see the answer and how it works.
1. QuadraticsWhat is the sum of the roots of x² − 9x + 14 = 0?10149-9
Answer: 9. The roots are 2 and 7, which add to 9.
2. QuadraticsWhat is the sum of the roots of x² − 12x + 27 = 0?2713-1212
Answer: 12. The roots are 9 and 3, which add to 12.
3. QuadraticsExpand (x + 5)(x + 9). What is the coefficient of x?1445154
Answer: 14. x² + 14x + 45.
Tips for parents and teachers
- Find two numbers that multiply to c and add to b.
- Check each root in the original equation.
- Use Practice for steady improvement.
Why Number Quest
Free, with no ads and no in-app purchases. Five trails from age 5 to 16+, five ways to play, a daily goal that builds a streak, buddies to unlock and a friendly weekly leaderboard. Questions are made fresh on the device, so there is always something new.
An Android app on Google Play is coming soon. Until then, play free right here in your browser.