Chapter 12: Conditional Probability

A-level MathematicsStatistics and Mechanics7 topicsHigher

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alevel · mathematics · Statistics and Mechanics · All papers

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Projectiles 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

SM12-1: initial speed 20

m\,s^{-1}

at 30 degrees. Find vertical component = 10

m\,s^{-1}

for horizontal and vertical projectile motion. Show the method clearly by using resolve the velocity using sine and cosine.

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6 marksshow thatstandardEdexcel

SM12-2 verification: show that the printed answer is valid by applying resolve the velocity using sine and cosine. Include a check using initial speed 20

m\,s^{-1}

at 30 degrees.

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6 marksprovehardEdexcel

SM12-3 proof: starting with initial speed 20

m\,s^{-1}

at 30 degrees, prove vertical component = 10

m\,s^{-1}

for horizontal and vertical projectile motion; give restrictions.

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6 markshencesynopticEdexcel

Using SM12-4's earlier result vertical component = 10

m\,s^{-1}

, hence solve the linked problem in horizontal and vertical projectile motion and state whether the answer is exact or rounded.

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11. Regression, Correlation and Hypothesis Testing

13. The Normal Distribution

Key learning objectives

Understand the key principles behind Conditional Probability.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.