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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2730 questions · page 65 of 137 · choose a topic above to narrow them down

SA-OC-WA-0011 markL1 FoundationCalculatorTesting water

Anhydrous copper(II) sulfate turns blue with water. Its original colour is

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SA-OC-WA-0021 markL1 FoundationCalculatorTesting water

Anhydrous cobalt(II) chloride turns

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SA-OC-WA-0041 markL1 FoundationCalculatorWater treatment

Chlorine is added to drinking water to

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SA-PM-PAR-0011 markL1 FoundationNon-calculatorConverting

x=3\cos t

y=3\sin t

is a circle. Find its radius.

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SA-PM-PAR-0022 marksL1 FoundationNon-calculatorConverting

Find

y

in terms of

x

for

x=t+1

y=2t-3

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SA-PM-PAR-G012 marksL1 FoundationNon-calculatorConverting

Find the Cartesian equation of

x=2t

y=t^2

. Give

y

in terms of

x

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SA-PROOF2-0011 markL1 FoundationCalculatorThe assumption

To prove by contradiction that there is no largest even number, you should start by assuming

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SA-PROOF2-0021 markL1 FoundationCalculatorThe assumption

Assume

N

is the largest even number. Which fact gives the contradiction?

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SA-PX-AC-0011 markL1 FoundationCalculatorLinacs

A proton is accelerated through a p.d. of

2.0

MV. Calculate the kinetic energy gained in units of

10^{-13}

J. (

e=1.60\times10^{-19}

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SA-PX-AC-0041 markL1 FoundationCalculatorLinacs

The drift tubes in a linear accelerator get longer along the accelerator because

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SA-PX-DC-0011 markL1 FoundationCalculatorModulation

Speech with frequencies up to

4.5

kHz is transmitted by AM. Calculate the bandwidth in kHz.

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SA-PX-DC-0031 markL1 FoundationCalculatorModulation

Calculate the wavelength in m of a

100

MHz FM carrier.

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SA-PX-DC-0051 markL1 FoundationCalculatorMedia

An advantage of optical fibre over copper cable is

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SA-PX-DL-0011 markL1 FoundationCalculatorLogic gates

A NAND gate has inputs

A=1

and

B=1

. Its output is

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SA-PX-DL-0021 markL1 FoundationCalculatorLogic gates

State the number of rows in a truth table for a circuit with

3

inputs.

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SA-PX-DL-0031 markL1 FoundationCalculatorLogic gates

An XOR gate gives an output of

1

when

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SA-PX-DL-0041 markL1 FoundationCalculatorCounters

State the number of different states of a 4-bit binary counter.

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SA-PX-EA-0011 markL1 FoundationCalculatorDecibels

Calculate the intensity level of a sound of intensity

1.0\times10^{-6}

W m⁻². (

I_0=1.0\times10^{-12}

W m⁻²)

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SA-PX-EA-0041 markL1 FoundationCalculatorDecibels

State how many times more intense a

90

dB sound is than a

60

dB sound.

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SA-PX-EA-0051 markL1 FoundationCalculatorThe ear

The main function of the ossicles in the middle ear is to

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