Monday
Mathematics: Introductory calculus
15 questions
- For f(x) = 7x^4, find f′(3).
- For f(x) = 9x^4, find f′(5).
Grade 11 · week 41, 5 to 9 October 2026
Grade 11 weekly pack, week 41 of 2026
Five worksheets for Monday to Friday, 15 questions each, with answer keys. Print one day at a time or the whole week with a cover page.
The five days
Tuesday
Reading & writing: Reading comprehension
15 questions
- Reading and literary analysis: which term fits this description? The time, place and surrounding conditions of a story.
- Reading and literary analysis: which term fits this description? A comparison that describes one thing in terms of another without a literal equivalence.
Wednesday
Physics: Forces & equilibrium
15 questions
- An ideal spring obeys F = kx with k = 410 N/m. A force of 4 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.
- An ideal spring obeys F = kx with k = 730 N/m. A force of 36 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.
Thursday
Mathematics: Trigonometry
15 questions
- 210° equals kπ radians. Find k as a fraction or integer.
- In a right triangle, the legs opposite and adjacent to θ are 11 cm and 24 cm. Find tan θ as a fraction.
Friday
Review of the week
15 questions · Introductory calculus, Reading comprehension, Forces & equilibrium, Trigonometry
- An ideal spring obeys F = kx with k = 570 N/m. A force of 50 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.
- Evaluate the definite integral of (18x + 2) from x = 4 to x = 6.
Lesson of the week
Introductory calculus
From the study guide Derivatives, accumulated change and units
Study guide for Grades 11 to 12: 4 key ideas, including derivative, units and signed integral; 2 worked examples and 3 practice questions. Connect calculations to their meanings and domains.
- Derivative: A derivative describes a local rate of change with respect to the independent variable.
- Units: If position is measured in metres and time in seconds, its time derivative has units m/s.
- Signed integral: A definite integral of velocity gives signed displacement, not automatically total distance.
- Critical points: A zero derivative is a candidate for an extremum, not a guarantee. Check the surrounding behavior.