MCAP Grade 3 Operations and Algebraic Thinking Practice

What the test measures

Operations and Algebraic Thinking skills

3.OA.A Represent and solve problems involving multiplication and division.
3.OA.B Understand properties of multiplication and the relationship between multiplication and division.
3.OA.C Multiply and divide within 100.
3.OA.D Solve problems involving the four operations, and identify and explain patterns in arithmetic.

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

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8 free questions · 0/0 correct

Practice playeasy

Which property is $6 \times 1 = 6$ ?

$6 \times 1 = 6$ shows multiplying by $1$ does not change the answer, so the expressions are equal in value. This is the identity property.

Practice playeasy

What is $132 \div 12$ ?

$12 \times 11 = 132$ , so $132 \div 12 = 11$ .

Practice playeasy

What is $4 \times 2$ ?

$4 \times 2 = 8$ .

Practice playeasy

Which property is $(2 \times 3) \times 4 = 2 \times (3 \times 4)$ ?

$(2 \times 3) \times 4 = 2 \times (3 \times 4)$ shows the grouping of the multiplication does not change the answer, so the expressions are equal in value. This is the associative property.