OSTP Grades 6-8 Geometry. Practice it free.

Students solve problems involving scale drawings, area, surface area, and volume, and reason about geometric figures. This Grades 6-8 reporting domain maps to 12 practice skills and 8 representative questions from the playable bank.

Grades 6-812 mapped skills

What the test measures

Geometry skills

angle relationships
congruence and similarity
area and volume
nets and cross sections
coordinate geometry

Standards basis

2022 Oklahoma Academic Standards for Mathematics (OAS-M) — Oklahoma

How the OSTP reports it

Oklahoma’s OSTP math is built on the 2022 Oklahoma Academic Standards for Mathematics rather than a national shared blueprint. The state math standards page notes that Statistics & Probability and Precalculus were added in the 2022 revision, and Precalculus includes a Trigonometry strand.

Blueprint & weighting

OSTP uses the Independent / state-specific framework (by grade domains structure).

Official sources

Oklahoma State Department of Education – State Testing Resources
Oklahoma State Department of Education – Mathematics
2022 Oklahoma Academic Standards for Mathematics (OAS-M, February 2022) — four content strands (Number & Operations, Algebraic Reasoning & Algebra, Geometry & Measurement, Data & Probability) for PK-7 + Pre-Algebra, plus Algebra I / Geometry / Algebra II / Precalculus / Statistics & Probability course standards

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

Surface area in context (SAT)

Grade 710 questions

Triangle angle sum

Grade 810 questions

Volume of prisms and cylinders

Grade 731 questions

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 $25°$ . What is the other?

$180 - 25 = 155°$ .

Practice playeasy

A circle has a diameter of $26$ yards. What is the circumference, in yards, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 26$ : $C = \pi(26) = 26\pi\textsf{.}$

Practice playeasy

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

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

Practice playeasy

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

$A = \pi r^2 = 3 \times 25 = 75$ .

Practice playeasy

What is the distance from $(0, 0)$ to $(5, 12)$ ?

$\sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$ .

Practice playmedium

In $\triangle MNO$ , $\angle M$ and $\angle O$ are congruent. The measure of $\angle N$ is $105.2^{\circ}$ . What is the measure of $\angle M$ ?

Each congruent angle is $\dfrac{180^{\circ} - 105.2^{\circ}}{2} = 37.4^{\circ}$ .

Practice playhard

A rectangular prism has volume $72$ cubic centimeters and height $4$ centimeters. The length is twice the width. What is the width, in centimeters?

$V = \ell w h$ and $\ell = 2w$ , so $72 = (2w)(w)(4) = 8w^2$ . Then $w^2 = 9$ and $w = 3\text{ cm}\textsf{.}$

Keep practicing

Turn geometry into game time.

The OSTP 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.C.9

Geometry in other OSTP grades

The same skills on other tests

AK STAR CMAS DC CAPE Georgia Milestones

Source and test overview

All OSTP prep Official test source

Reporting categories

More Grades 6-8 domains

The Number SystemStudents apply and extend previous understandings of numbers to the system of rational numbers.8 QsPractice →Ratios and Proportional RelationshipsStudents use ratio and rate reasoning to solve problems.8 QsPractice →Expressions and EquationsStudents use expressions and equations to represent and solve problems.8 QsPractice →Statistics and ProbabilityStudents develop understanding of statistical variability, distributions, and chance.8 QsPractice →