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A-Level Mathematics Past Papers & Drilling (Paper 4): Kinematics, Forces, Energy
TUTORZONE ORIGINAL DRILLING MOCK · CAMBRIDGE A-LEVEL MATHEMATICS (9709) PAPER 4
Written to the Cambridge 9709 syllabus (2026-2027): Paper 4 Mechanics, 50 marks, 1 h 15 min (6-8 structured questions). This is a Paper 4 drilling mock: 8 questions for 50 marks with answers and techniques.
What is in A-Level Mathematics (9709) Paper 4?
Direct answer: Paper 4 Mechanics, 50 marks, 1 h 15 min (6-8 structured questions).
Assessment at a glance (2027)
| Component | Content | Weighting | Duration |
|---|---|---|---|
| Paper 4 (Mechanics) | 6-8 structured questions, 50 marks | 50 | 1 h 15 min |
| Paper 3 (Pure Mathematics 3) | 9-11 structured questions, 75 marks | 30% A-Level | 1 h 50 min |
A-Level Mechanics drilling technique: 8 questions in 1 h 15 min. Use v=u+at, F=ma, mgh and 1/2 mv^2, stating units.
How this paper was built
This is a TutorZone original drilling mock: the questions follow the Cambridge 9709 structure (Paper 4 Mechanics, 50 marks) and the answers are our own, not Cambridge past papers or marking references.
Every answer was recomputed programmatically.
Pacing
| Section | Marks | Suggested time | What to do first |
|---|---|---|---|
| Paper 4 (Mechanics) | 50 | about 9 min per question | kinematics, dynamics, energy |
| Paper 3 (Pure Mathematics 3) | 30% A-Level | about 11 min per question | complex, logs, calculus |
What is F = ma?
Direct answer: Newton’s second law: resultant force = mass x acceleration.
Paper 4: mechanics drilling (8 questions, 50 marks)
Formula, substitute, state units.
Question 1 (6 marks)
A body accelerates from rest at 2 m/s^2 for 3 s. Find the final velocity.
Question 2 (7 marks)
A 5 kg body accelerates at 3 m/s^2. Find the resultant force.
Question 3 (6 marks)
A 2 kg body is 5 m above the ground. Find its gravitational potential energy (g = 10 m/s^2).
Question 4 (6 marks)
A 4 kg body moves at 3 m/s. Find its momentum.
Question 5 (7 marks)
A body has two collinear forces 8 N and 3 N in the same direction. Find the resultant.
Question 6 (6 marks)
A 3 kg body moves at 4 m/s. Find its kinetic energy.
Question 7 (6 marks)
A body falls freely from rest for 2 s (g = 10 m/s^2). Find the distance fallen.
Question 8 (6 marks)
A 10 kg body rests on horizontal ground. Find its weight (g = 10 m/s^2).
How is kinetic energy calculated?
Direct answer: KE = 1/2 mv^2.
Paper 4 answers
Question 1
v = u + at = 0 + 2 x 3 = 6 m/s (6).
Question 2
F = ma = 5 x 3 = 15 N (7).
Question 3
GPE = mgh = 2 x 10 x 5 = 100 J (6).
Question 4
Momentum = mv = 4 x 3 = 12 kg m/s (6).
Question 5
Resultant = 8 + 3 = 11 N (7).
Question 6
KE = 1/2 mv^2 = 1/2 x 3 x 16 = 24 J (6).
Question 7
s = 1/2 g t^2 = 1/2 x 10 x 4 = 20 m (6).
Question 8
Weight = mg = 10 x 10 = 100 N (6).
Which topics does this paper drill?
Direct answer: kinematics, forces, GPE, momentum, KE and free fall.
Where these marks are usually lost
| Mistake | What it looks like | What it costs | Instead |
|---|---|---|---|
| Kinematics formula | v = u – at | Acceleration: v = u + at | v = u + at |
| Weight/mass mixed | Weight as 10 kg | Weight is a force in N | weight = mg = 100 N |
| KE missing 1/2 | mv^2 | KE = 1/2 mv^2 | 1/2 mv^2 |
How to use this paper
First drill: the full 1 h 15 min on all 8 questions with no references.
Mark it: check formulas and units.
Second drill: redo three to seven days later, aiming to finish inside 1 hour.
What should I do after drilling this paper?
Direct answer: log questions with wrong formulas or units; redo in three to seven days; and drill Paper 5 Probability & Statistics.
FAQ
Is this a Cambridge past paper?
No. The questions and answers are TutorZone originals, not Cambridge past papers or marking references.
What does A-Level Mathematics Paper 4 test?
Mechanics: kinematics, dynamics, forces, moments, energy, momentum, 50 marks, 1 h 15 min.
What is F = ma?
Newton’s second law: resultant force = mass x acceleration.
Official references
| Resource | What to check |
|---|---|
| Cambridge A-Level Mathematics 9709 syllabus (2026-2027) | Confirm the Paper 1-6 marks and times |
| https://www.tutorzone.com.hk/en-alevel-mathematics-9709-paper-1-mock-2027/ | A-Level Mathematics Paper 1 drilling mock |
Related: practice area · A-Level Mathematics Paper 1 drilling mock
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