Math and ELA

Multi-Step Questions on SHSAT Math

Many SHSAT Math items require two or three linked decisions in a row: represent a relationship, use that result, then report the quantity the question actually asked for. That chain is what students need to practice, not a stack of isolated computations.

Updated · 3 min read · Independent SHSAT preparation resource

What 'multi-step' means here

It does not just mean more arithmetic or bigger numbers. It means the student has to represent one relationship, use that result in a second relationship, and then report a quantity that may not be the first thing they found.

The official sample with two consecutive integers shows the pattern clearly: write the integers, use their sum, change each integer, then multiply. Students who stop after finding -8 have done legitimate algebra and still missed the item.

Work one written step at a time

NYCPS's own advice is to write the steps. The lorgs-and-dalts sample is a conversion, then another conversion, then a sum. Students who try to do that in their head drop a rate. Students who write '140 lorgs = $20' can see the next move.

If a step needs a formula, write the formula with the values substituted. 'P = 2L + 2W' is not busywork when the ratio is 3:2 and the perimeter is 510. It is how the student avoids doubling one pair of sides twice.

Where strong students still lose points

They answer the first useful number they produce. They change the ratio order halfway through. They treat a rate as if it were a total. They enter an equivalent expression the equation editor will not accept, then spend two minutes fighting the palette.

Those are exam skills. Drill them on mixed digital items, not on a page titled 'percent.' The student should not know in advance which topic is coming. The official exam will not announce it.

How to practice without flooding the week

Take eight mixed items. Require a written target and written steps. Review only the items where a step was skipped or the target was swapped. That is enough for one session.

Once the student can explain the missed step, verify on new items, then put the skill back into a timed section. Isolated mastery that disappears under the clock is not mastery.

Official sources

SHSAT policies and digital testing details can change. Confirm current information with NYC Public Schools:

SHSAT Prep is an independent practice product and is not affiliated with NYCPS.

Frequently asked questions

Are calculators allowed?

Confirm the current official guide. Students should be ready to compute by hand and to use the on-screen equation editor for fill-in items.

Should we still drill single-step facts?

Yes, briefly, if a fact is missing. Then put it back inside a two-step item. Isolated fluency is the floor, not the exam.

Continue your study plan

Turn the next practice session into a useful signal.

Start with the short demo, then choose the plan that fits your family’s prep schedule.