FAST Math Grade 6 study guide
FAST Math Grade 6 · Work through your exam, one topic at a time.
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 study guide has 4 sections and about 1,563 words.
01Grade6 rational numbers, factors and fraction operations
A number line helps compare signed numbers. Negative three is greater than negative seven because it lies farther to the right, even though seven has a greater absolute value. Absolute value describes distance from zero, so it is never negative. Compare a number's value with its magnitude instead of applying a slogan that a larger written digit always means a larger number.
401 words, about 2 min02Grade6 ratios, percentages, expressions and equations
A ratio compares quantities in the stated order. Four cats to seven dogs is not the same relationship as seven cats to four dogs. Distinguish part-to-part from part-to-whole: four to seven has eleven total equal parts when the categories exhaust the collection. Equivalent ratios multiply or divide both quantities by the same factor.
381 words, about 2 min03Grade6 area, solid measurement and coordinate reasoning
Perimeter measures a boundary in linear units. Area measures flat coverage in square units. Volume measures three-dimensional space in cubic units. The same dimensions can appear in each calculation, but that does not make the quantities interchangeable.
395 words, about 2 min04Grade6 data distributions, summaries and elementary probability
A statistical question anticipates variation across observations. Ask what was measured, which units were used and how the values were collected. A numerical list alone does not explain whether it represents a whole group, a selected sample or repeated measurements of one object. A conclusion should not exceed the source's actual scope.
386 words, about 2 min