SAT Math case studies
SAT Math · Put your knowledge to work in context.
The SAT Math section is one part of the SAT, a college-admission test administered by the College Board through its SAT Suite of Assessments. It is taken by high school students preparing for college applications, and it can be taken on a national weekend test date or during in-school testing. The Math section is one of the two main scored sections of the test, alongside the Reading and Writing section. Its content is organized into four types of math: Algebra; Advanced Math; Problem-Solving and Data Analysis; and Geometry and Trigonometry. The SAT Math case studies are 5 cases and about 1,527 words.
1Phone Plan Break-Even with Piecewise Overage
A family is choosing between two monthly phone plans. Plan A costs 32 and includes 4 GB of data; each additional GB costs 8.
310 words, about 2 min2Rocket Height Model and Vertex Interpretation
A model rocket is launched from a 5-foot platform. Its height in feet, t seconds after launch, is modeled by h(t)=-16t^2+96t+5 for 0 t 7 .
282 words, about 1 min3Survey Margin of Error and Generalization
A student council surveys cafeteria users about adding a salad bar. They randomly select 400 students from the 1,100 students who eat in the cafeteria on a typical day and invite them to an online poll; 320 respond.
360 words, about 2 min4Ramp Slope Compliance with Required Landing
A building entrance has a door threshold 2.5 feet above the sidewalk. The horizontal distance from the bottom of the ramp to the door is 30 feet.
331 words, about 2 min5Exponential Drug Decay and Dose Timing
A patient receives an initial dose that produces a peak concentration of 80 mg/L. The drug’s concentration decays exponentially with a half-life of 6 hours, so C(t)=80(0.5)^{t/6} , where t is hours after the peak.
244 words, about 1 min