Monday
Mathematics: Introductory calculus
15 questions
- Evaluate the definite integral of 15x^2 from x = 0 to x = 7.
- f(x) = 2x³ + 9x² + (-3)x. Find f′(3).
Grade 12 · week 41, 5 to 9 October 2026
Grade 12 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? An earlier detail that hints at a later development.
- Reading and literary analysis: which term fits this description? The arrangement of events in a narrative.
Wednesday
Physics: Forces & equilibrium
15 questions
- An ideal spring obeys F = kx with k = 250 N/m. A force of 74 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 = 260 N/m. A force of 25 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
- In a right triangle, the legs opposite and adjacent to θ are 5 cm and 26 cm. Find tan θ as a fraction.
- In a right triangle, the legs opposite and adjacent to θ are 26 cm and 8 cm. Find tan θ as a fraction.
Friday
Review of the week
15 questions · Introductory calculus, Reading comprehension, Forces & equilibrium, Trigonometry
- In a right triangle, the side opposite θ is 320 cm and the hypotenuse is 680 cm. Find sin θ as a fraction.
- Two perpendicular forces of 216 N and 405 N act on a point. Find the magnitude of their resultant. Round to 3 decimal places if needed. Answer in N.
Lesson of the week
Introductory calculus
From the study guide Definite integrals of powers
Study guide for Grade 12: 2 worked examples and 2 practice questions. Use an antiderivative at the upper bound minus its value at the lower bound.
- ∫₀ᵇ axⁿ dx = abⁿ⁺¹/(n + 1), n ≠ −1
- Use an antiderivative at the upper bound minus its value at the lower bound.
- Example: Evaluate the definite integral of 18x^2 from x = 0 to x = 4. Answer: 384.