MCA Grade 6 The Number System Practice

What the test measures

The Number System skills

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
Apply and extend previous understandings of numbers to the system of rational numbers
Interpret and compute with negative rational numbers
Understand ordering and absolute value of rational numbers

Standards basis

Minnesota Academic Standards in Mathematics (2007; assessed by MCA-III in grades 3-8 and 11 through 2026-27. 2022 standards phase in with MCA-IV beginning 2027-28) — Minnesota

How the MCA reports it

Minnesota’s MCA math is a state assessment tied to Minnesota Academic Standards in Mathematics rather than a separate national framework. The official public resources available here point to Minnesota-specific standards implementation, and absent a test blueprint, the coverage map should be organized by the state’s grade-level math domains that closely parallel CCSS-M. Note: the current MCA-III assesses the 2007 Minnesota standards in grades 3-8 and 11; Minnesota administers a single comprehensive high-school (grade 11) math test, NOT Algebra I / Geometry / Algebra II end-of-course exams — the 'High School / MCA EOC' band below is the grade-11 HS administration. (MCA-IV on the 2022 standards begins 2027-28.)

Blueprint & weighting

MCA uses the Independent / state-specific framework (by grade domains structure).

Official sources

Minnesota Department of Education MCA page
Minnesota Academic Standards in Mathematics implementation reference
MCA-III Mathematics Test Specifications, Grades 3-8 and 11

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $\dfrac{5}{6} \div \dfrac{3}{5}$ ?

Multiply by the reciprocal: $\dfrac{5}{6} \times \dfrac{5}{3} = \dfrac{25}{18} = \dfrac{25}{18}$ .

Practice playeasy

What is $|11 - 10|$ ?

First compute the difference: $11 - 10 = 1$ . Then take the absolute value: $|1| = 1$ .

Practice playeasy

What is $9.6 \div 6$ ?

Result: $1.6$ .

Practice playmedium

On the real number line, how many integers are strictly between $\dfrac{7}{3}$ and $\dfrac{47}{5}$ ?

Convert: $\dfrac{7}{3} \approx 2.33$ and $\dfrac{47}{5} = 9.4$ . Integers $n$ with $2.33 < n < 9.4$ are $3, 4, 5, 6, 7, 8, 9$ . Count with $9 - 3 + 1$ : subtracting endpoints gives the gap between them; the $+1$ counts both $3$ and $9$ inclusive.

Practice playeasy

What is $\dfrac{3}{6} \times \dfrac{5}{8}$ ?

Multiply across: $\dfrac{3 \times 5}{6 \times 8} = \dfrac{15}{48} = \dfrac{5}{16}$ .

Practice playeasy

What is $|-2|$ ?

Absolute value gives the non-negative distance from $0$ , so $|-2| = 2$ .

Practice playeasy

What is $6.60 \times 6$ ?

$6.60 \times 6 = 39.6$ .

Practice playmedium

Which integer is closest to $-\dfrac{29}{6}$ on the real number line?

$-\dfrac{29}{6} \approx -4.83$ . Compare distances: $|{-5} - (-4.83)| \approx 0.17$ and $|{-4} - (-4.83)| \approx 0.83$ . The closest integer is $-5$ .