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 13 practice skills and 8 representative questions from the playable bank.

Grades 6-813 mapped skills
What the test measures

Geometry skills

  1. angle relationships

  2. congruence and similarity

  3. area and volume

  4. nets and cross sections

  5. 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).

Try it now

8 free questions · 0/0 correct

Practice playeasy

A tent is a square pyramid with base side 66 feet and height 44 feet. Each camper needs 1616 cubic feet of air.

How many campers can the tent hold?

The tent holds V=13Bh=13(6)2(4)=48V = \dfrac{1}{3}Bh = \dfrac{1}{3}(6)^{2}(4) = 48 cubic feet. Then 48÷16=348 \div 16 = 3 campers.

Practice playeasy

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

180−15=165°180 - 15 = 165°.

Practice playeasy

A circle has a diameter of 2626 yards. What is the circumference, in yards, of the circle?

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

Practice playeasy

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

Triangle area =12⋅b⋅h=12⋅8⋅9=36= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 8 \cdot 9 = 36.

Practice playeasy

A rhombus has diagonals of length 11 m11\text{ m} and 8 m.8\text{ m}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅11⋅8=44 m2.\dfrac{1}{2} \cdot 11 \cdot 8 = 44\text{ m}^{2}\textsf{.}

Practice playeasy

A circle has radius 22. Using π=3\pi = 3, what is its area?

A=πr2=3×4=12A = \pi r^2 = 3 \times 4 = 12.

Practice playeasy

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

52+122=25+144=169=13\sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13.

Practice playmedium

In △JKL\triangle JKL, ∠J\angle J and ∠L\angle L are congruent. The measure of each of these angles is 61.7∘61.7^{\circ}. What is the measure of ∠K\angle K?

The two congruent angles total 2×61.7∘=123.4∘2 \times 61.7^{\circ} = 123.4^{\circ}, so ∠K=180∘−123.4∘=56.6∘\angle K = 180^{\circ} - 123.4^{\circ} = 56.6^{\circ}.

Keep practicing

Turn geometry into game time.

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