MCAP Grade 7 Geometry. Practice it free.

Measures drawing and describing geometric figures and problems involving angle measure, area, surface area, and volume. This Grade 7 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

Grade 7Content Subclaim9 mapped skills
What the test measures

Geometry skills

  1. 7.G.A Draw, construct, and describe geometric figures and describe the relationships between them.

  2. 7.G.B Solve real-world and mathematical problems involving angle measure, 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).

Practice by skill

Topics mapped to this domain

Volume of prisms and cylinders

Grade 731 questions

Effect of scale factor on similar figures

Grade 710 questions

Triangle inequality

Grade 710 questions

Surface area and volume

Grade 1015 questions

Angle relationships

Grade 749 questions

Area and circumference of circles

Grade 710 questions

Circle formulas

Grade 729 questions

Multi-step perimeter, area, and volume (ACT)

Grade 77 questions

Surface area in context (SAT)

Grade 710 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length 33, width 33, and height 55. What is its volume?

V=3×3×5=45V = 3 \times 3 \times 5 = 45.

Practice playeasy

Similar triangles MNOMNO and PQRPQR have areas 44 and 36.36\textsf{.} Side MNMN corresponds to side PQ,PQ\textsf{,} and MN=5.MN = 5\textsf{.} What is the length of PQ?PQ\textsf{?}

The area ratio is 364=9=k2,\dfrac{36}{4} = 9 = k^{2}\textsf{,} so k=3.k = 3\textsf{.} Then PQ=5⋅3=15.PQ = 5 \cdot 3 = 15\textsf{.}

Practice playeasy

Two sides of a triangle measure 1313 and 6.6\textsf{.} Which inequality gives the possible lengths, x,x\textsf{,} of the third side?

The triangle inequality requires ∣13−6∣<x<13+6.|13 - 6| < x < 13 + 6\textsf{.} Simplifying gives 7<x<19.7 < x < 19\textsf{.}

Practice playeasy

Find the volume of a cylinder with radius 11 and height 1010. Use π=3\pi = 3.

V=πr2h=3×1×10=30V = \pi r^2 h = 3 \times 1 \times 10 = 30.

Practice playeasy

Two angles are complementary. One measures 5°5°. What is the other?

90−5=85°90 - 5 = 85°.

Practice playeasy

A circle has a radius of 99 yards. What is the area, in square yards, of the circle?

The area of a circle is A=πr2A = \pi r^{2}. Substitute r=9r = 9: A=π(9)2=81π.A = \pi(9)^{2} = 81\pi\textsf{.}

Practice playeasy

A circle has radius 11. Using π=3\pi = 3, what is its area?

A=πr2=3×1=3A = \pi r^2 = 3 \times 1 = 3.

Practice playhard

A rectangular prism has a square base and height 66 meters. Its volume is 9696 cubic meters. What is the side length of the base, in meters?

V=s2hV = s^2 h, so 96=s2⋅696 = s^2 \cdot 6 and s2=16s^2 = 16. Then s=4 m.s = 4\text{ m}\textsf{.}

Keep practicing

Turn geometry into game time.

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

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.G.B.68.G.C.9HSG.GMD.A.37.G.B.57.G.B.4
Geometry in other MCAP grades
Grade 5Grade 6Grade 8
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All MCAP prepOfficial test source
Reporting categories

More Grade 7 domains

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