SubjectScout
ENAR
Sign inGet matched
Get matched
← Back to interactive practice
Print with marking points
AS & A Level · AS/A Level

Mathematics

Integration and mathematical modelling

Name: ____________________Date: October 10, 2026
  1. 1.

    Find the area between y = 3x^2 + 2 and the x-axis from x = 0 to x = 2.

    [3 marks] · no calculator
  2. 2.

    A particle has velocity v(t) = t^2 - 4t + 3 m s^-1 for 0 <= t <= 3 seconds. Find its displacement and total distance travelled in this interval.

    [4 marks] · no calculator
  3. 3.

    A model satisfies dP/dt = 0.2P(1 - P/100), with P(0) = 20. By separation of variables, obtain P(t) and find the time when P = 50. Time is in years.

    [5 marks]

Original, unofficial practice questions from SubjectScout — not official past-paper questions.

Marking points are indicative, not an official mark scheme. Accept equivalent valid methods and supported interpretations that address the task; award each mark once without requiring the model wording.