MCAP Grade 8 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

8.G.A Understand congruence and similarity using physical models, transparencies, or geometry software.
8.G.B Understand and apply the Pythagorean Theorem.
8.G.C Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

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

A cylinder has radius $1$ and height $5$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 1 \times 5 = 15$ .

Practice playeasy

In $\triangle PQR$ , $\angle P$ and $\angle Q$ are congruent. The measure of $\angle R$ is $118.6^{\circ}$ . What is the measure of $\angle Q$ ?

Let each congruent angle measure $x^{\circ}$ . Then $2x + 118.6 = 180$ , so $x = \dfrac{180 - 118.6}{2} = 30.7^{\circ}$ .

Practice playeasy

What is the sum of the interior angles of a octagon?

A octagon has $8$ sides: $(8-2) \times 180 = 1080°$ .

Practice playeasy

In a triangle, $m\angle P = 105^{\circ}$ and $m\angle Q = 28^{\circ}\textsf{.}$ What is $m\angle R\textsf{?}$

The sum of the interior angles of a triangle is $180^{\circ}\textsf{.}$ So $m\angle R = 180^{\circ} - 105^{\circ} - 28^{\circ} = 47^{\circ}\textsf{.}$

Practice playeasy

What is the distance from $(1, 2)$ to $(4, 6)$ ?

$\Delta x = 3$ , $\Delta y = 4$ . $\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ .

Practice playmedium

The shorter leg of a right triangle is $11$ centimeters and the longer leg is $60$ centimeters. What is the length of the hypotenuse?

The legs are $11$ and $60$ . By the Pythagorean theorem, $11^{2} + 60^{2} = 121 + 3{,}600 = 3{,}721$ , so the hypotenuse is $\sqrt{3{,}721} = 61$ .

Practice playeasy

The hypotenuse of a right triangle is $25$ , and one leg is $7$ . Find the other leg.

$25^{2} - 7^{2} = 625 - 49 = 576$ , so the other leg is $\sqrt{576} = 24\textsf{.}$

Practice playeasy

A kite string is $25$ meters long and is staked $7$ meters from a point on the ground directly below the kite. How high is the kite?

The string is the hypotenuse: $25^{2} - 7^{2} = 625 - 49 = 576$ , so the height is $\sqrt{576} = 24$ meters.

Related Common Core standards

7.G.B.6 8.G.C.9 8.G.A.5 8.G.B.8 8.G.B.7

Geometry in other MCAP grades

Grade 5 Grade 6 Grade 7

The same skills on other tests

i-Ready NAEP AASA ACAP

Source and test overview

All MCAP prep Official test source

Reporting categories

More Grade 8 domains

The Number SystemMeasures irrational numbers and their rational approximations.8 QsPractice →Expressions and EquationsMeasures radicals and integer exponents, proportional relationships and linear equations, and systems of linear equations.8 QsPractice →FunctionsMeasures defining, evaluating, comparing, and modeling with functions.8 QsPractice →Statistics and ProbabilityMeasures patterns of association in bivariate data.8 QsPractice →

MCAP Grade 8 Geometry. Practice it free.

Geometry skills

8.G.A Understand congruence and similarity using physical models, transparencies, or geometry software.

8.G.B Understand and apply the Pythagorean Theorem.

8.G.C Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Topics mapped to this domain

Volume of prisms and cylinders

Isosceles triangle angles

Polygon angle formulas

Triangle angle sum

Distance formula

Finding a missing side with the Pythagorean theorem

Pythagorean theorem

Pythagorean theorem in context (SAT/ACT)

Rectangle diagonal from area (ACT)

8 free questions · 0/0 correct

Turn geometry into game time.

More Grade 8 domains