DC CAPE Grades 6-8 Geometry Practice

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

Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the volume of a sphere with radius $2$ . Use $\pi = 3$ .

$V = \dfrac{4}{3} \pi r^{3} = \dfrac{4}{3} \times 3 \times 8 = 32$ .

Practice playeasy

Two angles are supplementary. One measures $45°$ . What is the other?

$180 - 45 = 135°$ .

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 rhombus has diagonals of length $6\text{ km}$ and $14\text{ km}\textsf{.}$ What is its area?

The area of a rhombus is half the product of the diagonals: $\dfrac{1}{2} \cdot 6 \cdot 14 = 42\text{ km}^{2}\textsf{.}$

Practice playeasy

A circle has radius $5$ . Using $\pi = 3$ , what is its circumference?

$C = 2\pi r = 2 \times 3 \times 5 = 30$ .

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 playeasy

In $\triangle JKL\textsf{,}$ $\angle J$ and $\angle L$ are congruent. The measure of each of these angles is $61.6^{\circ}\textsf{.}$ What is the measure of $\angle K\textsf{?}$