DC CAPE Grades 6-8 Geometry. Practice it free.

This domain covers properties of geometric figures and coordinate geometry. This Grades 6-8 reporting domain maps to 16 practice skills and 8 representative questions from the playable bank.

Grades 6-8Geometry16 mapped skills

What the test measures

Geometry skills

solve real-world and mathematical problems involving area, surface area, and volume
understand congruence and similarity using physical models, transparencies, or geometry software
solve problems involving angle relationships, geometric figures, and the Pythagorean Theorem

Standards basis

Common Core State Standards (CCSS-M) — District of Columbia

How the DC CAPE reports it

DC CAPE math continues DC’s PARCC-era alignment to the Common Core State Standards and uses the same general development/review approach described by OSSE. The page says DC Math follows the same rigorous development and review process and measures the knowledge and skills that matter most for DC students, while also explicitly tying the assessments to CCSS.

Blueprint & weighting

DC CAPE uses the PARCC-derived / Common Core-based framework (by grade domains structure).

Official sources

OSSE DC CAPE
OSSE DC CAPE page content on CCSS and test specifications

Practice by skill

Topics mapped to this domain

Surface area and volume

Grade 1015 questions

Angle relationships

Grade 749 questions

Area and circumference of circles

Grade 710 questions

Area formulas (triangle, parallelogram, trapezoid)

Grade 670 questions

Circle formulas

Grade 729 questions

Distance formula

Grade 815 questions

Isosceles triangle angles

Grade 810 questions

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

Grade 77 questions

Polygon angle formulas

Grade 815 questions

Finding a missing side with the Pythagorean theorem

Grade 810 questions

Pythagorean theorem

Grade 811 questions

Pythagorean theorem in context (SAT/ACT)

Grade 86 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the volume of a cone with radius $2$ and height $9$ . Use $\pi = 3$ .

$V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 4 \times 9 = 36$ .

Practice playeasy

Two angles are supplementary. One measures $15°$ . What is the other?

$180 - 15 = 165°$ .

Practice playeasy

A circle has a radius of $15$ feet. What is the area, in square feet, of the circle?

The area of a circle is $A = \pi r^{2}$ . Substitute $r = 15$ : $A = \pi(15)^{2} = 225\pi\textsf{.}$

Practice playeasy

Find the area of a triangle with base $b = 4$ and height $h = 8$ .

Triangle area $= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 4 \cdot 8 = 16$ .

Practice playeasy

A circle has diameter $8$ . Using $\pi = 3$ , what is its circumference?

$C = \pi d = 3 \times 8 = 24$ .

Practice playeasy

What is the length of the vertical segment from $(5, -3)$ to $(5, 9)$ ?

Both points have $x = 5$ , so the length is $|9 - (-3)| = 12$ .

Practice playmedium

In $\triangle LMN$ , $\angle L$ and $\angle N$ are congruent. Each of these angles measures $38.2^{\circ}$ . What is the measure of $\angle M$ ?

Together the congruent angles measure $2 \times 38.2^{\circ} = 76.4^{\circ}$ , so $\angle M = 180^{\circ} - 76.4^{\circ} = 103.6^{\circ}$ .

Practice playhard

A rectangular prism has a square base and height $6$ meters. Its volume is $96$ cubic meters. What is the side length of the base, in meters?

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

Keep practicing

Turn geometry into game time.

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

Batting Cage game cover

Batting CagePlay →

Blossom Leap game cover

Blossom LeapPlay →

Buzzer Beater game cover

Buzzer BeaterPlay →

Minecart Junction game cover

Minecart JunctionPlay →

Related Common Core standards

7.G.B.6 HSG.GMD.A.3 7.G.B.5 7.G.B.4 6.G.A.1 8.G.B.8 8.G.A.5 8.G.B.7

The same skills on other tests

AK STAR CMAS Georgia Milestones IAR

Source and test overview

All DC CAPE prep Official test source

Reporting categories

More Grades 6-8 domains

Ratios and Proportional RelationshipsThis domain covers ratio reasoning and proportional relationships.8 QsPractice →The Number SystemThis domain addresses operations with fractions, integers, and rational numbers.8 QsPractice →Expressions and EquationsThis domain focuses on writing, manipulating, and solving expressions and equations.8 QsPractice →Statistics and ProbabilityThis domain addresses statistical reasoning and probability.8 QsPractice →