BitWithBite
Mathematics Worksheet
🌀 Curl
SCORE___ / 20
NameClassDate
After this worksheet you can
Compute the 2D curl: curl F = ∂Q/∂x − ∂P/∂y for F = (P, Q).Interpret curl as the rotational (swirling) tendency of a field.Recognise irrotational (zero-curl) fields.Relate curl to divergence conceptually.🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
12D curl of F = (3y, −3x) = ?
22D curl of F = (x2, y2) = ?
32D curl of F = (−2y, 2x) = ?
4A field with zero curl everywhere is called:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5For F = (P, Q), the 2D curl = .
62D curl of F = (3y, −3x) = .
7Find the 2D curl of F = (3y, −3x).
8Find the 2D curl of F = (x2, y2).
9Find the 2D curl of F = (xy, x2).
🚀 Section C · Challenge ● CHALLENGE 5
10Find the 2D curl of F = (−2y, 2x).
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
Teacher's Signature
Parent's Signature
✂ answer key — fold or cut before handing out
1-B 2-A 3-C 4-B | 5 ∂Q/∂x − ∂P/∂y 6 −6 7 = −6 8 = 0 9 = x | 10 = 4