FAST Grade 7 Number Sense and Operations Practice

What the test measures

Number Sense and Operations skills

7.NSO.1.1, 7.NSO.1.2, 7.NSO.1.3
7.AR.1.1, 7.AR.1.2, 7.AR.2.1, 7.AR.2.2, 7.AR.2.3, 7.AR.2.4

Standards basis

Florida B.E.S.T. Standards — Florida

How the FAST reports it

Florida’s FAST Mathematics is a state-specific assessment program aligned to the Florida B.E.S.T. Standards rather than a national framework. The published blueprint organizes results by reporting categories derived from B.E.S.T. domains, with separate blueprints for grades 3-8 FAST Mathematics and the B.E.S.T. Algebra 1 and Geometry EOCs.

Blueprint & weighting

Florida publishes blueprint percentage ranges by reporting category. The 2025-26 fact sheet states each PM event is tied to a blueprint for the full grade-level content, and the test design summary gives approximate item ranges per reporting category; the reporting-category statements note that a minimum of 15% of raw score points should come from each reporting category, with some domains combined when needed.

Official sources

Florida Department of Education FAST Assessments page
Florida Department of Education B.E.S.T. Mathematics Reporting Category Statements
Florida Department of Education B.E.S.T. Mathematics Test Design Summary

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Simplify: $\dfrac{b^{8}}{b^{4}}$ .

The Quotient of Powers Property says that powers with the same nonzero base are divided by subtracting the exponents, written $\dfrac{b^{m}}{b^{n}} = b^{m-n}\textsf{.}$ Here both the numerator and the denominator have base $b$ , so $\dfrac{b^{8}}{b^{4}} = b^{8-4} = b^{4}\textsf{.}$

Practice playeasy

Airline rules allow a carry-on bag to weigh at most $50.0$ pounds. A bag weighs $52.8$ pounds. What is the minimum decrease needed in the bag's weight, in pounds, so that it meets the rule?

The bag must weigh at most $50.0$ pounds. The minimum decrease is $52.8 - 50.0 = 2.8\textsf{.}$

Practice playeasy

Solve for $m$ : $m - 4 = 2$ .

Subtract 4 from both sides: $m = 6$ .

Practice playeasy

Simplify: $y^0$ (where $y \neq 0$ ).

The Zero Exponent Property says that any nonzero base raised to the zero power equals one, written $y^{0} = 1\textsf{.}$ The stem states that $y \neq 0$ , so the property applies and the expression simplifies to $1\textsf{.}$

Practice playeasy

A band competition allows an instrument case's length, width, and height to total at most $62.0$ inches. A case measures $65.4$ inches in total. What is the minimum decrease needed in that total, in inches, so that the case meets the rule?

The total must be at most $62.0$ inches. The minimum decrease is $65.4 - 62.0 = 3.4\textsf{.}$

Practice playeasy

Solve for $k$ : $k + 3 = 5$ .

Isolate $k$ : $k = 2$ .

Practice playeasy

$\dfrac{(3^{4})^{2}}{3^{5}} = 3^{k}\textsf{.}$ What is $k\textsf{?}$

The Power of a Power Property says that a power raised to another power is simplified by multiplying the exponents, written $(x^{m})^{n} = x^{m \cdot n}\textsf{.}$ So $(3^{4})^{2} = 3^{4 \cdot 2} = 3^{8}\textsf{.}$ The Quotient of Powers Property then subtracts the exponents, written $\dfrac{x^{m}}{x^{n}} = x^{m-n}\textsf{.}$ So $\dfrac{3^{8}}{3^{5}} = 3^{8-5} = 3^{3}$ and $k = 3\textsf{.}$

Practice playeasy

A library reading room must keep noise at a level of at most $65.0$ decibels. A meter shows $68.5$ decibels. What is the minimum decrease needed in the noise level, in decibels, so that the room meets the rule?