Week 1: Baseline Assessment

← Back to Autumn Term

Topic: Baseline Assessment

Introduction

This week is focused on establishing a baseline of your current mathematical understanding. This helps us tailor the learning for the rest of the term to better suit your needs.

There are no new topics this week, just a friendly assessment to see what you already know!

Tasks

Please complete the baseline assessment paper provided in class. Do your best, but don't worry if you find some questions difficult. The goal is to understand your starting point.

📊 Year 12 Autumn Term – Week 1 Baseline Assessment

🔹 Structure

  • Duration: 45–60 minutes
  • Format: Mixed short-answer, multiple-choice, and problem-solving
  • Marks: 40–50 total
  • Focus: Review of Algebra, Calculus basics, Geometry, and Statistics

Section A: Algebra (10 marks)

  1. Solve the equation: 2x + 3 = 7. (1 mark)
  2. Expand: (x + 2)(x - 3). (2 marks)
  3. Factorise: x² - 5x + 6. (2 marks)
  4. Solve: x² - 4x - 5 = 0. (3 marks)
  5. Simplify: (x² - 1)/(x + 1). (2 marks)

Section B: Calculus (10 marks)

  1. Find the derivative of f(x) = x² + 3x. (2 marks)
  2. Evaluate ∫(2x + 1) dx. (2 marks)
  3. Find the gradient of the tangent to y = x³ at x = 1. (3 marks)
  4. Solve the differential equation dy/dx = 2x. (3 marks)

Section C: Geometry (10 marks)

  1. Find the area of a circle with radius 5 cm. (2 marks)
  2. Calculate the volume of a sphere with radius 3 cm. (2 marks)
  3. Find the angle in a triangle where sides are 3, 4, 5. (2 marks)
  4. Prove that the sum of angles in a triangle is 180°. (2 marks)
  5. Find the equation of the line through (1,2) with slope 3. (2 marks)

Section D: Statistics (10 marks)

  1. Calculate the mean of: 2, 4, 6, 8, 10. (1 mark)
  2. Find the median of: 1, 3, 5, 7, 9. (1 mark)
  3. Calculate the standard deviation of: 2, 4, 6. (3 marks)
  4. Interpret the correlation coefficient r = 0.8. (2 marks)
  5. Find P(A ∪ B) if P(A) = 0.3, P(B) = 0.4, P(A ∩ B) = 0.1. (3 marks)

✅ Marking Guidance:

  • Section A → Algebra (10)
  • Section B → Calculus (10)
  • Section C → Geometry (10)
  • Section D → Statistics (10)

Total = 40 marks

Download the baseline assessment paper Access on Google Drive Access on Google Classroom
Remember to review your answers and ask for help if you find any topics challenging. Good luck!
Have you completed the baseline assessment? Great! Now, take a moment to relax and prepare for the exciting topics we'll be exploring in the coming weeks!
Remember to bring your completed assessment to our next class for review and feedback.
If you are ready to request for the solution, please use this link: Solution Link.