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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 110 of 137 · choose a topic above to narrow them down

SA-AC-SY-0021 markL2 StandardCalculatorReaction map
To convert ethanol to ethanoic acid, use
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Salam Academy Original Practice · Proposed mark scheme
SA-AC-SY-0031 markL2 StandardCalculatorPlanning routes
To make butanoic acid from 1-bromopropane, the steps are
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Salam Academy Original Practice · Proposed mark scheme
SA-AC-SY-0041 markL2 StandardCalculatorReaction map
Which converts propanal to propan-1-ol?
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Salam Academy Original Practice · Proposed mark scheme
SA-AC-SY-0051 markL2 StandardCalculatorPlanning routes
Propene can be converted into propan-2-ol by
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Salam Academy Original Practice · Proposed mark scheme
SA-AC-TM-0011 markL2 StandardCalculatorConfigurations
The electron configuration of Fe³⁺ is
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Salam Academy Original Practice · Proposed mark scheme
SA-AC-TM-0021 markL2 StandardCalculatorConfigurations
The ground-state configuration of chromium is
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Salam Academy Original Practice · Proposed mark scheme
SA-AC-TM-0031 markL2 StandardCalculatorConfigurations
Scandium is not a transition element because
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Salam Academy Original Practice · Proposed mark scheme
SA-DM-AL-0012 marksL2 StandardNon-calculatorBin packing
Use first-fit on the items 3,6,5,4,23,6,5,4,2 (in this order) with bins of size 1010. How many bins are used?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-AL-0032 marksL2 StandardNon-calculatorOrder
An algorithm of quadratic order takes 22 s for 100100 items. Estimate the time in seconds for 300300 items.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-AL-0041 markL2 StandardNon-calculatorSorting
Binary search is used on an ordered list of 1515 names. Using the middle item each time, what is the maximum number of items examined?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-AS-0031 markL2 StandardNon-calculatorVariants
To maximise, entries are subtracted from the largest entry, 2020. What does an entry of 1414 become?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-CP-0012 marksL2 StandardNon-calculatorCritical path
Find the total float of activity C.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-CP-0032 marksL2 StandardNon-calculatorScheduling
Each activity needs one worker. Find a lower bound for the number of workers needed to finish in 1212 days.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-CP-G012 marksL2 StandardNon-calculatorCritical path
Activities: A(3), B(4), C(2) after A, D(5) after A and B, E(3) after C and D. Find the minimum project duration.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-DA-0022 marksL2 StandardCalculatorUtility
With u(x)=x+200u(x)=\sqrt{x+200}, find the expected utility of the gamble (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-DP-0012 marksL2 StandardNon-calculatorMin and max
Find the shortest distance from SS to TT.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-DP-G012 marksL2 StandardNon-calculatorMin and max
Network: SA3SA3, SB5SB5, AC4AC4, AD2AD2, BC1BC1, BD6BD6, CT3CT3, DT5DT5. Find the shortest distance from AA to TT.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-0012 marksL2 StandardNon-calculatorCuts
Find the capacity of the cut {S,B}∣{A,T}\{S,B\}\mid\{A,T\}.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-0022 marksL2 StandardNon-calculatorAugmenting
Find the maximum flow from SS to TT.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-0031 markL2 StandardNon-calculatorAugmenting
A flow sends 33 along arc ATAT (capacity 33) and 22 along ABAB (capacity 22). By conservation, what is the flow in SASA?

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Salam Academy Original Practice · Proposed mark scheme