Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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SA-IAL-S2-CD1-0051 markL1 FoundationNon-calculatorUniform probabilities

X\sim U[0,10]

. Find

P(X>7.5)

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SA-IAL-S2-CD2-0012 marksL1 FoundationNon-calculatorNormal approximations

X\sim B(100,0.5)

is approximated by

Y\sim N(\mu,\sigma^2)

. Write down

\mu

and

\sigma^2

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SA-IAL-S2-CD-G012 marksL1 FoundationCalculatorUniform probabilities

X\sim U[2,10]

. Find

P(X<5)

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SA-MOD1-0011 markL1 FoundationCalculatorStrings & surfaces

A particle moves on a smooth horizontal plane. This means

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SA-MOD2-0011 markL1 FoundationCalculatorUnits

The SI unit of force is the

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SA-MOD2-0021 markL1 FoundationNon-calculatorUnits

Convert

72

km h⁻¹ to m s⁻¹.

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SA-MOD2-0031 markL1 FoundationNon-calculatorUnits

Find the weight of a particle of mass

5

kg. (Take

g=9.8

m s⁻².)

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SA-MOD2-0051 markL1 FoundationNon-calculatorUnits

A force of

0.3

kN acts on a crate. Write this in newtons.

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SA-MOD2-0081 markL1 FoundationNon-calculatorUnits

A ball has mass

450

g. Write its mass in kilograms.

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SA-MOD-Q011 markL1 FoundationCalculatorStrings & surfaces

Modelling a string as inextensible means that, in a connected-particles problem,

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SA-MOD-Q031 markL1 FoundationCalculatorObjects

A plank is modelled as a uniform rod. This means

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SA-MOD-Q051 markL1 FoundationCalculatorObjects

Modelling a box as a particle means

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SA-MOD-Q061 markL1 FoundationCalculatorObjects

A rod is described as light. In a calculation this means

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SA-MOM-0012 marksL1 FoundationCalculatorBeams

A uniform rod of length

4

m and mass

10

kg rests horizontally on supports at its ends. Find the reaction at each support.

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SA-MOM-0032 marksL1 FoundationCalculatorMoments

A child of mass

30

kg sits

2

m from the pivot of a see-saw. How far from the pivot, on the other side, must a child of mass

40

kg sit to balance it?

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SA-MOM1-0011 markL1 FoundationNon-calculatorMoments

A force of

15

N acts at right angles to a spanner,

0.4

m from the bolt. Find its moment about the bolt.

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SA-MOM1-0022 marksL1 FoundationNon-calculatorMoments

25

kg child sits

1.6

m from the pivot of a see-saw. How far from the pivot, on the other side, must a

40

kg child sit to balance?

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SA-MOM2-0012 marksL1 FoundationNon-calculatorTilting

A uniform rod

AB

of length

4

m and mass

10

kg rests on supports at

C

1

m from

A

, and at

B

. A mass is hung at

A

so that the rod is about to tilt about

C

. Find the mass.

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SA-MOM-G011 markL1 FoundationCalculatorMoments

A force of

20

N acts perpendicular to a rod,

3

m from a pivot. Find its moment about the pivot.

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SA-OB-AT-0011 markL1 FoundationCalculatorActive transport

Active transport moves substances

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