BitWithBite
Mathematics Worksheet
📐 Quadratic Equations
SCORE___ / 20
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After this worksheet you can
Solve quadratics by factoring.Solve by taking square roots.Understand the two roots.Recognise when there is no real solution.📚 Quick Recap
A quadratic equation involves a variable raised to the second power — its graph is always a curved parabola, and it can have zero, one, or two real solutions.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1Solve x2 + 8x + 15 = 0:
2Solve x2 − 36 = 0:
3Solve x2 = 100:
4Solve x2 − 9x + 20 = 0:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5x2 − 36 = 0 gives x = .
6x2 = 100 gives x = .
7Solve x2 + 8x + 15 = 0 by factoring.
8Solve x2 − 36 = 0.
9Solve x2 = 100.
🚀 Section C · Challenge ● CHALLENGE 5
10Solve x2 − 9x + 20 = 0 by factoring.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-A | 5 ±6 6 ±10 7 = x = −3 or x = −5 8 = x = 6 or x = −6 9 = x = 10 or x = −10 | 10 = x = 4 or x = 5