RISE Grade 6 The Number System. Practice it free.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions; compute fluently with multi-digit numbers and find common factors and multiples. This Grade 6 reporting domain maps to 4 practice skills and 8 representative questions from the playable bank.

Grade 64 mapped skills
What the test measures

The Number System skills

  1. Apply and extend previous understandings of multiplication and division to divide fractions by fractions

  2. Compute fluently with multi-digit numbers

  3. Apply and extend previous understandings of numbers to the system of rational numbers

Standards basis

Utah Core Standards for Mathematics (CCSS-aligned Utah math standards) — Utah

How the RISE reports it

Utah’s RISE mathematics assessment is a state assessment aligned to Utah Core Standards rather than a separately branded national framework. The official Utah pages point to Utah Core standards resources and the RISE administration guidance, with no separate public math blueprint published on the assessment page itself.

Blueprint & weighting

RISE mathematics weighting by domain was not located on the official Utah assessment page; the official page only points to the RISE assessment overview/administration resources and the Utah Core Standards resources. Grade 6 administration guidance notes a two-segment math test with Segment 1 no calculator and Segment 2 calculator allowed, and the proctor guide states Mathematics has an expected testing time of 90 minutes for most students and 135 minutes for all students.

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 playeasy

What is 6.074.716.07 - 4.71?

6.074.71=1.366.07 - 4.71 = 1.36.

Practice playeasy

What is 39÷58\dfrac{3}{9} \div \dfrac{5}{8}?

Multiply by the reciprocal: 39×85=2445=815\dfrac{3}{9} \times \dfrac{8}{5} = \dfrac{24}{45} = \dfrac{8}{15}.

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

What is 3.35+6.753.35 + 6.75?

3.35+6.75=10.13.35 + 6.75 = 10.1.

Practice playeasy

What is 36×37\dfrac{3}{6} \times \dfrac{3}{7}?

Multiply across: 3×36×7=942=314\dfrac{3 \times 3}{6 \times 7} = \dfrac{9}{42} = \dfrac{3}{14}.

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).

Keep practicing

Turn the number system into game time.

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