Worked explanations
critical-thinking-s01-q01
Split a statement into its testable parts and its evaluative parts. Whether coffee is sold, whether a blend is new, and where a café stands can all be checked; ranking taste as the best depends on a standard nobody has agreed.
critical-thinking-s01-q02
A factual claim points at something that could be counted, measured, or recorded, so a check could confirm or refute it. Preferences and recommendations describe how the speaker feels or what they want, and no measurement settles them.
critical-thinking-s01-q03
The observation is the bare recorded fact: a rise that followed a repainting. Everything about preference and cause is a layer the writer has added on top, and each added layer needs its own support.
critical-thinking-s01-q04
Match the size of the conclusion to the size of the evidence. Four recorded late arrivals support a modest statement about recent occasions, but not a regional comparison, a prediction, or a claim about every journey.
critical-thinking-s01-q05
Direct evidence measures the very thing in question: here, how many people have joined. Impressions, advertising, and hopes are all consistent with growth, decline, or no change at all.
critical-thinking-s01-q06
Ask whether the evidence offered is of the right kind for the claim made. A sweeping claim about air quality over time needs recorded readings; how the air feels to one person cannot establish it, however sincere they are.
critical-thinking-s01-q07
Watch for loaded words that smuggle a verdict into what looks like a report. Calling the spending wasted and the bridge unnecessary asserts a judgement alongside the checkable figure, and the judgement needs arguing for separately.
critical-thinking-s01-q08
Turn a claim into a measurement before judging it. Speed is time per transaction, so the useful evidence is that timing recorded on both sides of the change; cost, appearance, and till count measure something else.
critical-thinking-s01-q09
Not knowing of a problem and knowing there is no problem are different states. If nobody has tested the well, the silence in the record reflects the missing test rather than the water's quality.
critical-thinking-s01-q10
A single good outcome cannot tell you what would have happened otherwise. The missing piece is a comparison: roses of the same kind, in the same season, without the feed.
critical-thinking-s02-q01
The conclusion is the claim the other sentences are there to support. Flooding and rising repair costs are the evidence; the recommendation about rerouting is what they are meant to establish.
critical-thinking-s02-q02
Test each sentence by asking whether it supports the main point or is supported by it. The crossing time is one of two facts feeding the claim about time ashore, so it functions as a reason.
critical-thinking-s02-q03
Try inserting "therefore" in front of each candidate and see which reads naturally. Falling membership and higher fees are the observations; the call to lower fees is what they are marshalled to justify.
critical-thinking-s02-q04
A conclusion can arrive in the middle of a passage rather than at the end. Here the speed, price, time, and money statements all feed a single decision, and that decision is the point being argued for.
critical-thinking-s02-q05
Count the separate supporting claims, not the sentences overall. The leak and the cancellations are two independent pieces of support, while the third sentence is the recommendation they support.
critical-thinking-s02-q06
An argument stands on the truth of its reasons, so test each one by imagining it false. If Ravi turns out to live in the county, the residence rule no longer excludes him and the conclusion collapses.
critical-thinking-s02-q07
When a speaker opens by reporting a rival view, that view is not their conclusion. "I disagree" signals that the speaker's own position is the denial of it, and the footfall figure is the reason offered.
critical-thinking-s02-q08
A reason can be perfectly true and still fail to carry the conclusion. The gap here is one of scope: what works for a single speaker is not yet a case for a rule that binds a whole school.
critical-thinking-s02-q09
Mapping the links shows the shape: closure supports slower deliveries, and slower deliveries in turn support low stock. Chains are only as strong as their weakest link, so each step needs checking on its own.
critical-thinking-s02-q10
The word "therefore" marks what follows as the conclusion, so everything before it is doing supporting work. Claims that appear nowhere in the passage cannot be either its reasons or its conclusion.
critical-thinking-s03-q01
Ask what has to be true for the reason to count in favour of the conclusion. Higher attendance is only an argument for the green if more attendance is desirable, which the speaker takes for granted rather than states.
critical-thinking-s03-q02
The reason and the conclusion mention different things, a course result and a supervisory role, so something must bridge them. The bridge is the unstated claim that the course result is what confers the role.
critical-thinking-s03-q03
A better unit price only means better value if the whole quantity gets used. Left-over paint converts the apparent saving into a real loss, so the argument quietly assumes the surplus will be needed.
critical-thinking-s03-q04
Whenever one event is credited for another, the hidden premise is that no rival cause was at work. Naming that assumption immediately suggests the check. Look for pay days, weather, holidays, or a competitor's closure.
critical-thinking-s03-q05
Notice when a conclusion uses a broader term than the evidence: here, safety versus particles. Dissolved chemicals and bacteria are not particles, so the argument assumes the filtered fraction is the whole risk.
critical-thinking-s03-q06
Check that a general ability really covers the specific case. A choir fluent in standard staff notation may be stopped by tonic sol-fa or an unfamiliar system, so the argument assumes the two match.
critical-thinking-s03-q07
A remedy only follows from a problem if it addresses that particular problem. If the difficulty is early mornings and the extension is late evenings, the reason no longer supports the proposal.
critical-thinking-s03-q08
Ask what the evidence measures before accepting what it is said to show. Selling out is a fact about supply, price, and demand together, so treating it as a quality ranking is an extra step.
critical-thinking-s03-q09
Success after an intervention is sometimes success because of it. Using a perfect pass rate as a reason to cut the training assumes the spending was not what produced that rate.
critical-thinking-s03-q10
Weigh assumptions by how much they add beyond the evidence. Wanting less noise is a long way from wanting every vehicle removed, so the jump to the most extreme remedy is the step carrying the least support.
critical-thinking-s04-q01
Credibility is question-specific: ask who has both the relevant training and first-hand access to the evidence. Daily use, budget approval, and aesthetic opinion say nothing about load-bearing capacity.
critical-thinking-s04-q02
Caution comes from incentive combined with control: the same party benefits from the answer and decides the method. That does not make the claim false, but it does mean the method deserves close inspection.
critical-thinking-s04-q03
Transparency about method is what lets a reader judge a survey rather than simply trust it. Selection and response rate decide who the numbers actually describe; agreement with your own view is no evidence at all.
critical-thinking-s04-q04
Separate honesty from accuracy: a sincere witness can still be mistaken. Poor light, distance, and a long interval all degrade what memory can deliver, so the account needs corroboration rather than suspicion.
critical-thinking-s04-q05
An appeal to unnamed authority gives a reader nothing to verify. Naming the experts or citing the studies would turn an assertion into something that could be followed up and tested.
critical-thinking-s04-q06
Prefer a record made at the time over a recollection formed afterwards, because contemporaneous evidence is not shaped by later events. Length, confidence, and style are features of the telling, not of the accuracy.
critical-thinking-s04-q07
Expertise raises the prior likelihood that a reading is correct within its own field, without settling the matter outright. Treating it as a stronger starting point avoids both blind deference and pretending all opinions weigh the same.
critical-thinking-s04-q08
Funding is a reason to scrutinise, not a verdict on the findings. The useful moves are to examine the design for choices that favour the sponsor and to see whether independent groups reach the same result.
critical-thinking-s04-q09
A primary source is the original record, made at the time by whoever observed the thing directly. Features, recollections, and summaries all sit at one or more removes, and each remove is a chance for detail to shift.
critical-thinking-s04-q10
An incentive to praise shifts how much weight the overall verdict deserves without erasing the concrete details. Specific, checkable observations survive better than the recommendation itself.
critical-thinking-s05-q01
To weaken a causal claim, supply a rival explanation for the same observation. Far fewer vehicles would reduce collisions on their own, so the fall no longer points specifically to the lane.
critical-thinking-s05-q02
Strengthen a causal claim by showing the effect tracks the cause where other factors are held similar. A comparison with matched schools rules out much of what else might separate breakfast-eaters from their peers.
critical-thinking-s05-q03
When a condition resolves on its own, recovery after treatment is exactly what you would see with no treatment at all. The evidence therefore fails to distinguish a working remedy from an inert one.
critical-thinking-s05-q04
A high score among self-selected respondents describes only those who chose to respond. If unhappy callers systematically stay silent, the sample is skewed towards praise before a single rating is given.
critical-thinking-s05-q05
Random assignment is the strongest ordinary tool for causal claims because it stops cautious runners from clustering in one group. Popularity, price, and plausibility leave the underlying comparison untested.
critical-thinking-s05-q06
Counting heads treats every visit as interchangeable. If the smallest group is also the one with no alternative, the closure removes the service entirely for them, which is a cost the raw total conceals.
critical-thinking-s05-q07
A comparison area shows what would have happened anyway. If untouched towns fell just as far, the drop reflects a wider trend rather than the local policy.
critical-thinking-s05-q08
Before-and-after scores blend the training with practice effects, maturation, and everything else happening meanwhile. An untrained comparison group separates the training's contribution from the rest.
critical-thinking-s05-q09
Silence is only evidence of contentment when complaining was easy. Removing the channel explains the absence of complaints without any change in how passengers feel.
critical-thinking-s05-q10
A snapshot correlation cannot show which way the influence runs or whether geography explains both. Watching temperatures change after planting, against villages that did not plant, adds the sequence the original claim lacked.
critical-thinking-s06-q01
When two things move together, look for a shared driver before assuming one moves the other. Temperature raises both, which produces the correlation without either causing the other.
critical-thinking-s06-q02
Ask what determines who ends up in each group. Where access depends on family resources, those same resources plausibly affect attainment directly, so the lessons and the marks may share a cause.
critical-thinking-s06-q03
Whenever people are sorted into groups by someone's decision, the sorting rule can produce the result on its own. Sending straightforward cases to one ward guarantees faster recoveries there regardless of the care given.
critical-thinking-s06-q04
Distinguish a change in the world from a change in measurement. If lighting makes incidents visible and reportable, recorded crime can rise while actual crime falls or stays flat.
critical-thinking-s06-q05
A pattern noticed after the fact is the beginning of an investigation, not its end. Looking for what else those days have in common tests the shared-cause explanation before any conclusion is drawn.
critical-thinking-s06-q06
Health and wealth influence both the ability to take holidays and life expectancy, so they can generate the association by themselves. Naming such a shared factor is the standard first challenge to an observational finding.
critical-thinking-s06-q07
In a one-season comparison, everything else that changed is a rival explanation. Weather is the largest such influence on a crop, so it must be accounted for before the compost takes the credit.
critical-thinking-s06-q08
Reverse causation means the arrow points the other way: what was treated as the outcome is doing the causing. It is a distinct rival to a shared third factor, to chance, and to a sampling problem.
critical-thinking-s06-q09
Reverse causation is spelled out by making the outcome the driver. Being uninjured makes stretching easy, which would produce the same association without stretching protecting anyone.
critical-thinking-s06-q10
Screening changes how many existing cases come to light, so counts can jump without any change in how common the condition is. The cautious reading separates detection from occurrence and waits for evidence that distinguishes them.
critical-thinking-s07-q01
Check that the group surveyed matches the group the conclusion describes. A sample assembled by interest in the topic will over-represent that interest, so the finding says little about people at large.
critical-thinking-s07-q02
A mean far above the most common value signals a long tail at the top. Both figures can be correct at once, which is why a single average can badly misdescribe a typical household.
critical-thinking-s07-q03
Small samples swing easily on chance and on who happened to take part. The honest reading treats the result as a promising lead that a larger, better-controlled study should test.
critical-thinking-s07-q04
Proportional changes hide the scale they are built on, and small bases produce dramatic percentages from tiny shifts. Asking for the raw numbers restores the sense of size that the ratio removed.
critical-thinking-s07-q05
The timing decides who can answer, and that decides who the sample contains. Systematically missing people who are at work makes the poll's picture of the electorate lopsided before any answer is recorded.
critical-thinking-s07-q06
A comparative claim is empty until its baseline is named. Thirty per cent less than a rival, than the old recipe, or than a very sweet reference product are three different statements.
critical-thinking-s07-q07
A ratio conceals both the sample size and the selection method. Ten dentists chosen by the advertiser and a thousand chosen at random support very different conclusions from the same nine-in-ten headline.
critical-thinking-s07-q08
Percentage growth from a tiny base sounds far larger than the change it describes. Recovering the absolute amounts turns a striking headline into a modest sum.
critical-thinking-s07-q09
Relative reductions describe the proportion removed, not the amount. Pairing the relative figure with the underlying rate shows how many people are actually affected, which is what a decision turns on.
critical-thinking-s07-q10
Each test carries its own chance of a false positive, and running many raises the odds that one appears somewhere. A finding picked out of a large search should be treated as a hypothesis to retest, not a result.
critical-thinking-s08-q01
A forced choice between two extremes hides the middle ground: partial cuts, savings elsewhere, or new income. Whenever an argument narrows the field to two, check whether the other options were argued away or simply omitted.
critical-thinking-s08-q02
An argument's strength lies in its reasons, not in the biography of whoever offers it. Dismissing the speaker leaves every one of those reasons untouched and unanswered.
critical-thinking-s08-q03
That something has always been done a certain way explains the habit but does not justify it. A reason to keep June would have to appeal to weather, availability, or attendance, not merely to precedent.
critical-thinking-s08-q04
Defeating a distorted version of a position leaves the real one standing. The corrective is to restate the opponent's claim in terms she would accept before responding to it.
critical-thinking-s08-q05
Circular reasoning assumes what it sets out to prove, so anyone who doubted the conclusion has been given no reason to change their mind. Independent support (accuracy checks, corroboration, a track record) would break the circle.
critical-thinking-s08-q06
A slide from a modest first step to an alarming end point needs an argument at every link. Without one, the vivid final scene is doing the persuading that evidence should be doing.
critical-thinking-s08-q07
Three neighbours are both few in number and likely to resemble one another and the speaker. A conclusion about a whole town needs a sample drawn from across it.
critical-thinking-s08-q08
Widespread use can reflect habit, a default setting, or an employer's decision as easily as merit. Quality claims need evidence about performance, not about how many people happen to have adopted something.
critical-thinking-s08-q09
How much we want a conclusion has no bearing on whether the numbers supporting or opposing it are accurate. The consequences may matter greatly to the decision, but they cannot settle a question of fact.
critical-thinking-s08-q10
An argument only works if its terms hold still. When a phrase changes sense partway through, support gathered for the first meaning is silently transferred to a claim about the second.
critical-thinking-s09-q01
A contradiction between instruments that should agree is information: something in the set-up is wrong. Averaging or choosing between them buries that signal instead of investigating it.
critical-thinking-s09-q02
Conflicting figures often measure different situations rather than one being false. Comparing the conditions and definitions behind each number usually explains the gap and tells you which applies to you.
critical-thinking-s09-q03
Disagreement between careful studies is usually a clue about conditions rather than a stalemate. Reading the differences in design often reveals that each result holds in its own setting.
critical-thinking-s09-q04
Under uncertainty, robustness beats optimism: prefer the choice that stays tolerable whichever way the unknown resolves. This keeps the gap in the open rather than pretending it away or refusing to act.
critical-thinking-s09-q05
A one-sided case cannot show whether the option survives its strongest objections. Asking for the contrary evidence and its treatment is how a presentation becomes an appraisal.
critical-thinking-s09-q06
Weak evidence is not the same as no evidence, and dropping it quietly makes a decision look better founded than it is. Recording strength alongside content lets the uncertainty inform what is decided.
critical-thinking-s09-q07
Revise when the evidential basis changes, not when the social weather does. Distinguishing new information from new opinion keeps a mind open without making it merely changeable.
critical-thinking-s09-q08
Agreement accumulated from a narrow reading list measures the list, not the question. Deliberately seeking the best opposing case is the practical test of whether a view is well founded.
critical-thinking-s09-q09
Assess accounts element by element rather than accepting or rejecting them whole. Independent agreement on a distinctive detail is strong corroboration, while sequence is among the first things memory blurs.
critical-thinking-s09-q10
Vivid cases are memorable but few and unsystematically chosen, so they cannot settle what happens on average. They are still useful as leads, flagging harms or mechanisms a study may not have measured.
critical-thinking-s10-q01
Statistics drawn only from those who finished exclude everyone the course failed. If most starters dropped out, a high pass rate among the remainder is a fact about survivors rather than about effectiveness.
critical-thinking-s10-q02
A measure only tracks success if the thing being measured means what the argument assumes. Falling tonnage against falling material could indicate progress, so the indicator needs interpreting before it condemns the scheme.
critical-thinking-s10-q03
Compare the group sampled with the group named in the conclusion. Members chose to join and use the service, so their views cannot stand in for a public that includes people who do neither.
critical-thinking-s10-q04
Identify where the argument's language widens. Diet covers everything eaten and drunk, so falling sales of one category leaves open whether people substituted something else or changed nothing overall.
critical-thinking-s10-q05
Two weaknesses compound here: the measure covers only those who complained, and the success criterion records closure rather than a fixed problem. Together they cut the link between the statistic and the quality claimed.
critical-thinking-s10-q06
Final results reflect where pupils started as well as what the school added. Measuring the change from entry to exam isolates the school's contribution from its intake.
critical-thinking-s10-q07
An argument can be internally tidy and still be incomplete. Weighing one benefit without canvassing the other consequences is the commonest way a valid-looking case reaches the wrong recommendation.
critical-thinking-s10-q08
Read a study's population and duration as the boundary of what it can support. An unqualified claim of safety extends the finding to groups and timescales the trial never observed.
critical-thinking-s10-q09
Consultations are answered by volunteers, and opposition is a stronger motivator to reply than contentment. The ratio therefore describes those moved to write in, not the population the conclusion is about.
critical-thinking-s10-q10
Appraisal has three separable steps: the truth of the premises, the strength of the link to the conclusion, and the completeness of the case. Starting from the conclusion, counting reasons, or deferring to a speaker each skips at least one of them.