MCAP Grade 6 The Number System Practice

What the test measures

The Number System skills

6.NS.A Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
6.NS.B Compute fluently with multi-digit numbers and find common factors and multiples.
6.NS.C Apply and extend previous understandings for numbers to the system of rational numbers.

Standards basis

Maryland College and Career Ready Standards for Mathematics (MCCRSM) — Maryland

How the MCAP reports it

MCAP is Maryland's statewide successor to PARCC, built on the Maryland College and Career Ready Standards for Mathematics (which mirror CCSS-M) — it is not a Smarter Balanced administration despite the claims-style family resemblance. Each grade/course High Level Blueprint (September 2022) organizes the assessment into three subclaims: Content (23-24 one-point machine-scored items, listed per domain/conceptual category as MCCRSM cluster headings), Reasoning (6 items), and Modeling (6 items), the latter two defined by per-grade evidence statements and including constructed-response items. Cluster headings are transcribed verbatim from the blueprints, including their minor typographical deviations from the parallel CCSS-M headings; two evident misprints are normalized (a duplicated sentence fragment on 4.OA.C, and the domain codes printed as G.P.E / T.TF for G.GPE / F.TF). Since March 2025, grade 6-7 students enrolled in a high-school mathematics course may take the corresponding MCAP course assessment instead of the grade-level test.

Blueprint & weighting

Each High Level Blueprint (September 2022) publishes per-domain operational item counts. Content Subclaim (1-point machine-scored items): Grade 3 — OA 7, NBT 2, NF 7, Measurement 5, Geometry 2 (23 items); Grade 4 — OA 4, NBT 5, NF 10, Measurement 3, Geometry 1 (23); Grade 5 — OA 2, NBT 6, NF 9, Measurement 4, Geometry 2 (23); Grade 6 — RP 3, NS 8, EE 8, Geometry 2, SP 2 (23); Grade 7 — RP 8, NS 4, EE 5, Geometry 3, SP 3 (23); Grade 8 — NS 2, EE 10, Functions 5, Geometry 4, SP 2 (23); Algebra I — Number and Quantity 1, Algebra 12, Functions 9, Statistics 2 (24); Geometry — G.CO 7, G.SRT 8, G.C 3, G.GPE 3, G.GMD 1, G.MG 1 (23); Algebra II — Number and Quantity 3, Algebra 8, Functions 11, Statistics 1 (23). Every assessment adds 6 Reasoning Subclaim and 6 Modeling Subclaim operational items — four 1-point machine-scored each, plus two constructed-response items (two 3-point in grades 3-4; one 3-point and one 4-point in grades 5-8; two 4-point in Algebra I, Geometry, and Algebra II) — so a form carries 35 operational items (36 for Algebra I).

Official sources

MSDE — MCAP Mathematics (current program page: grades 3-8, Algebra I, Geometry, Algebra II)
MSDE — MCAP Overview / High Level Blueprints summary
MSDE — MCAP Grade 3 Mathematics High Level Blueprint (September 2022)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $9.6 \div 6$ ?

Result: $1.6$ .

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 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 $6.60 \times 6$ ?

$6.60 \times 6 = 39.6$ .

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 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 $-5$ .