FAST Math Grade 6 case studies
FAST Math Grade 6 · Put your knowledge to work in context.
This independent study page provides practice for FAST Math Grade 6. Its editorial learning areas include Rational numbers and operations; Ratios, expressions and equations; Geometric measurement and coordinate reasoning; Data, sampling and probability. The questions develop subject knowledge and application through worked reasoning, distinctions between competing answers, and practical scenarios. Study the relevant guide before attempting a mixed set, then explain the evidence or calculation that supports each answer. Topics on this exam: Rational numbers and operations, Ratios, expressions and equations, Geometric measurement and coordinate reasoning, and Data, sampling and probability. The FAST Math Grade 6 case studies are 4 cases and about 744 words.
1Fraction division as a grouping model
A classroom model starts with four and one half meters of ribbon. Each identical piece must be three quarters of a meter long. A learner divides by three quarters but reverses the first fraction instead of the divisor. Another adds the numerator and denominator as though the task concerned a count of written digits.
187 words, under 1 min2A unit rate and a fixed-charge comparison
A fictional workshop has two supplied charging models. Plan A charges three dollars per item and no starting fee. Plan B charges ten dollars before any items plus two dollars per item. A learner says the second plan is always cheaper because two is less than three.
182 words, under 1 min3A rectangular prism has faces and interior space
An ideal closed rectangular storage box has dimensions five centimeters by three centimeters by four centimeters. A learner multiplies all three dimensions and reports the result as the area of material needed to cover the outside. Another adds only three face areas and forgets the opposite faces. A third distinguishes the box’s interior volume from its total exterior surface area.
179 words, under 1 min4Sampling and a misleading conclusion
A fictional school wants to learn whether its students play organized sports regularly. It surveys only members of the basketball team and finds that most answer yes. A learner declares that most students in the whole school must therefore play organized sports. Another suggests surveying more basketball players without changing the selection rule.
196 words, under 1 min