How many Forces and equilibrium questions are there for 9709?

This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Forces and equilibrium. Each links straight to instant marking against the official 9709 scheme.

How are Forces and equilibrium answers marked?

Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.

Where can I learn Forces and equilibrium first?

Start with the free Mathematics lesson on Forces and equilibrium, then come back and drill past-paper questions under timed conditions.

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9709 · topic questions

Forces and equilibrium

Mathematics12 questions

12 past-paper questions on Forces and equilibrium

9709/42 · May/June 20248 marks
A particle of mass 0.8kg lies on a rough plane which is inclined at an angle of 28° to the horizontal. The particle is kept in…
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9709/41 · October/November 20246 marks
A particle of mass 1.2kg is placed on a rough plane which is inclined at an angle θ to the horizontal, where sin θ = 3/25. The…
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9709/42 · May/June 20246 marks
Four coplanar forces of magnitude PN, 10N, 16N and 2N act at a point in the directions shown in the diagram. It is given that the…
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9709/41 · May/June 20245 marks
(b) Given instead that F = 10, find the magnitude and direction of the resultant force.
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9709/41 · May/June 20255 marks
Two particles, P and Q, of masses 0.3 kg and 0.6kg respectively, are attached to the ends of a light inextensible string. The…
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9709/42 · May/June 20254 marks
A particle P of mass mkg is attached to one end of a light inextensible string of length 2.6 m. The other end of the string is…
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9709/41 · May/June 20254 marks
Three coplanar forces of magnitudes PN, 5N and 10N act at a point O, as shown in the diagram. The resultant of the three forces…
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9709/42 · October/November 20244 marks
Find the value of θ and the tension in the string BQ.
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9709/42 · May/June 20254 marks
Find the coefficient of friction between A and the inclined plane.
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9709/41 · October/November 20244 marks
Coplanar forces of magnitudes 52N, 39N and PN act at a point in the directions shown in the diagram. The system is in…
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9709/42 · October/November 20243 marks
Find the value of the constant resistance to motion acting on the cyclist.
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9709/42 · May/June 20253 marks
Find the tensions in each of the strings.
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Question stems are shortened previews. Open a question to attempt the full version and have it marked.

Worked example

What a lost mark actually looks like

This answer reaches the right coordinates and still drops a mark — the conclusion is stated, but never justified. Examiners pay for the reasoning, not the answer.

MARKED

80%

Strong

M1dy/dx = 3x^2 - 12x + 9M1 earned
M1(x - 1) $(x - 3) = 0$ M1 earned
A1 $x = 1$ or $x = 3$ A1 earned
B1(1, 5) is a maximum and (3, 1) is a minimumB1 not earned

B1 — withheld
You stated the nature of each point correctly, but stated it without justification. This mark needs the reasoning shown — either evaluate the second derivative (d²y/dx² = 6x − 12, giving −6 at $x = 1$ and +6 at $x = 3$ ) or show a sign change of dy/dx either side of each point. An unsupported assertion earns nothing here even when the conclusion is right.

Forces and equilibrium (9709) past-paper questions — marked instantly

These are real Cambridge Mathematics past-paper questions on Forces and equilibrium. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.

Mark your answer →Learn Forces and equilibrium 9709 grade boundaries

Frequently asked questions

How many Forces and equilibrium questions are there for 9709?: This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Forces and equilibrium. Each links straight to instant marking against the official 9709 scheme.
How are Forces and equilibrium answers marked?: Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
Where can I learn Forces and equilibrium first?: Start with the free Mathematics lesson on Forces and equilibrium, then come back and drill past-paper questions under timed conditions.