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Math Drops from Five Answer Choices to Four

Math questions now offer four answer choices instead of five, so a random guess is right one time in four instead of one in five. The content didn't get easier — four choices just make backsolving faster.

Every math question used to carry five choices. Now it carries four. That one missing wrong answer changes the arithmetic of guessing. With five choices, a blind guess lands right 1 in 5 times, or 20 percent. With four choices, it lands right 1 in 4 times, or 25 percent. Nothing about the math itself got simpler — the only thing that changed is how many wrong paths you have to wade through before hitting the right one.

Think about what a blind guess really is: picking one option out of a set where every option looks equally plausible to someone who knows nothing. Shrink the set from five to four and each surviving option picks up a bigger share of the probability. Over many questions, this nudges the expected number of correct guesses upward by exactly one twentieth of the questions you guess on — one quarter minus one fifth. On 8 guessed questions, that is 8 times one quarter, or 2 expected correct, versus 1.6 expected correct under the old five-choice format.

The real effect isn't about blind guessing at all — it's about strategy. With only three wrong answers to eliminate instead of four, backsolving (plugging answer choices into the problem to see what fits) becomes faster and more reliable. Test-makers found that four-choice items got answered correctly more often, not because the problems got easier, but because students could kill wrong choices faster and narrow in on the right one. This connects directly to timing: fewer choices per question means elimination strategies pay off faster, which matters on a section where the clock never stops.

Key terms

Blind guess
Choosing an answer with no elimination or reasoning, each option equally likely.
Expected value
The average outcome you'd see if you repeated a random process many times.
Backsolving
Plugging answer choices into a problem to test which one satisfies it.
Elimination
Ruling out answer choices known to be wrong to narrow down the right one.

Watch it explained

  1. How it worksHow does a blind guess move from 20 percent to 25 percent when a fifth choice disappears?
  2. Worked exampleFind the expected number of correct blind guesses on 8 math questions with four choices each.
  3. Common mistakeWhy isn't four choices instead of five a sign that ACT math questions got easier?
  4. Going furtherWhat happens to an elimination strategy when there are only three wrong answers left to kill?

Check yourself

Your turneasy1 of 3
Find the expected number of correct answers from guessing blindly on 13 math questions with four choices each.

End of topic.