Chapter 7: Modelling in Mechanics

A-level MathematicsStatistics and Mechanics6 topicsHigher

StudyStudy Material QuizQuiz ResourcesResources

Mock Papers

Exam-board mock papers

Mock papers launch from 1 August 2026. New papers will be added regularly from this date.

Dashboard tracking

Included with paid subject access

You can see the paper details now. Access unlocks when your plan includes this subject and tier.

Mock paperFeatured

Mock papers launch collection

alevel · mathematics · Statistics and Mechanics · All papers

Releases 1 August 2026

Locked

Topic-aware long answers

Ultimate/Lifetime long-answer set

Ultimate and Lifetime users can create one saved set of 4 extended-response questions for this topic and mark answers with examiner-style feedback.

AI MCQ generation is available to paying students: 20 questions per session,2 sessions per month. Long-answer AI generation requires Ultimate or Lifetime access.

Free starter set

Hypothesis Testing Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions24 marks36 min

standard / hard / synoptic

6 marksfindstandardEdexcel

SM07-1:

X \sim B(20, 0.5)

, observed X = 15. Find upper-tail test at the 5% level for binomial hypothesis tests. Show the method clearly by using calculate the tail probability under H0 and compare with the significance level.

0 characters

Write your answer first, then mark it.

6 marksshow thatstandardEdexcel

SM07-2 verification: show that the printed answer is valid by applying calculate the tail probability under H0 and compare with the significance level. Include a check using

X \sim B(20, 0.5)

, observed X = 15.

0 characters

Write your answer first, then mark it.

6 marksprovehardEdexcel

SM07-3 proof: starting with

X \sim B(20, 0.5)

, observed X = 15, prove upper-tail test at the 5% level for binomial hypothesis tests; give restrictions.

0 characters

Write your answer first, then mark it.

6 markshencesynopticEdexcel

Using SM07-4's earlier result upper-tail test at the 5% level, hence solve the linked problem in binomial hypothesis tests and state whether the answer is exact or rounded.

0 characters

Write your answer first, then mark it.

Subject MCQ Bank

20 stored MCQs for this topic

Paying students get 20 stored MCQs per generation session and 2sessions each month. Your set is saved here so you can reset and retake it without using another allowance. If the bank is running low, replenishment happens in the background.

The 20-question stored MCQ bank is premium-only. Free users can study the starter unit and standard quiz, but bank practice unlocks after purchasing the subject.

Loading practice tools...

← Previous

6. Hypothesis Testing

8. Constant Acceleration

Key learning objectives

Understand the key principles behind Modelling in Mechanics.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.