Start the academic year off right with this interactive “Back to School Limit Maze” designed for your KS5 Maths students. This Limits & Continuity worksheet requires students to solve special trigonometric limits to successfully navigate a visual path to the FINISH line.
This resource provides a fun and rigorous alternative to standard revision sheets, perfect for core A-Level modules.
What is Included in this Resource:
Student Maze Worksheet: A printable activity featuring a direction legend (UP, RIGHT, DOWN, LEFT) guiding students through the problems.
Visual Solution Path Map: An official teacher answer key showing the correct path through the maze.
Solution Path Summary: A sequential, 8-step quick reference guide detailing the correct choices and directional moves.
Step-by-Step Mathematical Solutions: Comprehensive analytical working and justifications for all problems on the correct path.
Mathematical Topics Covered:
Evaluating limits involving sine, cosine, tangent, and exponential functions as $x \to 0$.
Utilising fundamental trigonometric limits, including $\lim_{x \to 0} \frac{1 - \cos(kx)}{x} = 0$.
Evaluating limits by dividing numerators and denominators by $x$, such as $\lim_{x \to 0} \frac{\tan(6x)}{\sin(3x)}$.
Solving exponential limits like $\lim_{x \to 0} \frac{e^{3x} - 1}{x}$.