MCAP Grade 6 Geometry. Practice it free.

Measures area, surface area, and volume in real-world and mathematical problems. This Grade 6 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 6Content Subclaim2 mapped skills
What the test measures

Geometry skills

  1. 6.G.A Solve real-world and mathematical problems involving area, surface area, and volume.

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).

Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the area of a trapezoid with bases b1=6b_1 = 6 and b2=10b_2 = 10 and height h=7h = 7.

Trapezoid area =12(b1+b2)⋅h=12(6+10)⋅7=12(16)⋅7=56= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(6 + 10) \cdot 7 = \dfrac{1}{2}(16) \cdot 7 = 56.

Practice playeasy

A rhombus has diagonals of length 9 dm9\text{ dm} and 12 dm.12\text{ dm}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅9⋅12=54 dm2.\dfrac{1}{2} \cdot 9 \cdot 12 = 54\text{ dm}^{2}\textsf{.}

Practice playeasy

Find the area of a parallelogram with base b=4b = 4 and height h=6h = 6.

Parallelogram area =b⋅h=4⋅6=24= b \cdot h = 4 \cdot 6 = 24.

Practice playeasy

A rhombus has diagonals of length 11 m11\text{ m} and 8 m.8\text{ m}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅11⋅8=44 m2.\dfrac{1}{2} \cdot 11 \cdot 8 = 44\text{ m}^{2}\textsf{.}

Practice playeasy

Find the area of a trapezoid with bases b1=5b_1 = 5 and b2=6b_2 = 6 and height h=4h = 4.

Trapezoid area =12(b1+b2)⋅h=12(5+6)⋅4=12(11)⋅4=22= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(5 + 6) \cdot 4 = \dfrac{1}{2}(11) \cdot 4 = 22.

Practice playeasy

A rhombus has diagonals of length 8 in8\text{ in} and 5 in.5\text{ in}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅8⋅5=20 in2.\dfrac{1}{2} \cdot 8 \cdot 5 = 20\text{ in}^{2}\textsf{.}

Practice playeasy

Find the area of a triangle with base b=8b = 8 and height h=9h = 9.

Triangle area =12⋅b⋅h=12⋅8⋅9=36= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 8 \cdot 9 = 36.

Practice playeasy

A rhombus has diagonals of length 7 ft7\text{ ft} and 8 ft.8\text{ ft}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅7⋅8=28 ft2.\dfrac{1}{2} \cdot 7 \cdot 8 = 28\text{ ft}^{2}\textsf{.}

Keep practicing

Turn geometry into game time.

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