HSPT No-calculator mathematical essentials Six no-calculator math facts for the HSPT, each with a worked example: percent change, unit rate, the distributive law, complements, area versus perimeter and mean totals.
Updated October 2, 2026
6 terms with examples.
Study with flashcards Term / pattern Meaning / method Example Percent change Divide change by the original amount. A price from $40 to $46 rises 6/40 = 15%. Unit rate Express both quantities on a common one-unit basis. 180 miles in 3 hours gives 60 miles per hour. Distributive law Multiply each term inside parentheses. 3(2x − 5) = 6x − 15. Complement Count everything except the unwanted event. If 3 of 10 equally likely outcomes fail, success probability is 7/10. Area versus perimeter Area covers a surface; perimeter measures its boundary. A 3 by 8 rectangle has area 24 and perimeter 22. Mean total Recover a total by multiplying mean by count. Five values with mean 12 sum to 60.
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