Problem Solving relevance filter

Relevant Selection questions give you extra numbers on purpose. Keep only the ones that change the answer.

Start free

The filter

  1. Write the quantity and unit the question asks for.
  2. Translate words like at least, remaining and maximum.
  3. Keep only numbers that would change that quantity.
  4. Check you found the requested quantity, not a nearby total.
Question asks forUsually neededOften a distraction
RevenueQuantities and pricesCosts and wages
Minimum journeysLoad and capacityFuel price and times
Earliest finishDurations and dependenciesCosts

Count letters, not patients

Worked example A mailing with two filters

A clinic has 1,2601,260 patients. 15%15\% use email. Of the rest, 2/72/7 live in two-patient households and each household receives one shared letter. Everyone else receives one letter. Postage is 8585 pence per letter and the printer makes 3232 letters per minute. How many letters are needed?

1260(0.85)=10711260(0.85)=1071
1071(27)=306,3062=1531071\left(\frac{2}{7}\right)=306,\qquad \frac{306}{2}=153
1071−306=765,153+765=9181071-306=765,\qquad 153+765=\boxed{918}

Why this works: Count households only for the paired group. Postage and printer speed do not matter.

Why the tempting route fails: 1,0711,071 gives every postal patient a letter. 765765 forgets the shared letters.

Keep limits

A number can matter as a limit. An 800 kg800\,\mathrm{kg} van capacity confirms one trip for a 760 kg760\,\mathrm{kg} load. At 840 kg840\,\mathrm{kg} it changes the answer.

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