MAST Grade 6 Rational Numbers and Absolute Value. Practice it free.

Students represent positive and negative values in context, place rational numbers on a number line, and interpret absolute value. This Grade 6 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 6Testlet 52 mapped skills
What the test measures

Rational Numbers and Absolute Value skills

  1. Represent positive and negative values in context and represent rational numbers as points on a number line.

  2. Understand and interpret absolute value and compare and order rational numbers.

  3. Standards: 6.NS.5, 6.NS.6, 6.NS.6.a, 6.NS.6.c, 6.NS.7, 6.NS.7.a, 6.NS.7.b, 6.NS.7.c, 6.NS.7.d

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 8|8|?

The absolute value of a non-negative number is itself: 8=8|8| = 8.

Practice playhard

How many integers satisfy 112<x4-\dfrac{11}{2} < x \leq 4?

112=5.5-\dfrac{11}{2} = -5.5, so integers greater than 5.5-5.5 start at 5-5; the closed upper bound includes 44. Integers: 5,4,,0,,4-5, -4, \ldots, 0, \ldots, 4; 00 is an integer and must be counted. Total: 4(5)+1=104 - (-5) + 1 = 10; the +1+1 counts both 5-5 and 44 inclusive.

Practice playeasy

What is 0|0|?

00 is its own distance from 00, so 0=0|0| = 0.

Practice playeasy

Which of the following values lies strictly between 194-\dfrac{19}{4} and 112\dfrac{11}{2} on the real number line?

The interval is open: 194=4.75-\dfrac{19}{4} = -4.75 and 112=5.5\dfrac{11}{2} = 5.5, so values must satisfy 4.75<x<5.5-4.75 < x < 5.5. Check each choice: 5<4.75-5 < -4.75 (outside), 4-4 is between the bounds, 112\dfrac{11}{2} equals the upper endpoint (not strict), and 194-\dfrac{19}{4} equals the lower endpoint (not strict).

Practice playeasy

What is 54|5 - 4|?

First compute the difference: 54=15 - 4 = 1. Then take the absolute value: 1=1|1| = 1.

Practice playeasy

Which value is greatest on the real number line?

Compare positions: 95=1.8\dfrac{9}{5} = 1.8, 230.67-\dfrac{2}{3} \approx -0.67, 58=0.625\dfrac{5}{8} = 0.625, and 7120.58-\dfrac{7}{12} \approx -0.58. The greatest is 95\dfrac{9}{5}.

Practice playeasy

What is 3|-3|?

Absolute value gives the non-negative distance from 00, so 3=3|-3| = 3.

Practice playeasy

What is the distance on the real number line from 00 to 238-\dfrac{23}{8}?

Distance from zero is absolute value: 238=238\left|-\dfrac{23}{8}\right| = \dfrac{23}{8}.

Keep practicing

Turn rational numbers and absolute value into game time.

The MAST placement starts with this test's real coverage map and finds the right difficulty.