SOL Grades 6-8 Measurement and Geometry. Practice it free.

Students apply geometric relationships and measurement formulas to solve problems. This Grades 6-8 reporting domain maps to 19 practice skills and 8 representative questions from the playable bank.

Grades 6-819 mapped skills
What the test measures

Measurement and Geometry skills

  1. area, surface area, and volume

  2. congruence and similarity

  3. angles, triangles, and transformations

  4. Pythagorean theorem and geometric properties

Standards basis

Virginia Mathematics Standards of Learning — Virginia

How the SOL reports it

Virginia SOL math is a state-specific assessment program built around the Virginia Mathematics Standards of Learning rather than a shared national test framework. It is aligned to Virginia grade-level and course standards, which are generally CCSS-like in organization but are published as Virginia-specific standards.

Blueprint & weighting

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

Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the volume of a cylinder with radius 33 and height 22. Use π=3\pi = 3.

V=πr2h=3×9×2=54V = \pi r^{2} h = 3 \times 9 \times 2 = 54.

Practice playeasy

In △ABC\triangle ABC, ∠B\angle B and ∠C\angle C are congruent. The measure of ∠A\angle A is 124.8∘124.8^{\circ}. What is the measure of ∠C\angle C?

Each congruent angle is 180∘−124.8∘2=27.6∘\dfrac{180^{\circ} - 124.8^{\circ}}{2} = 27.6^{\circ}.

Practice playeasy

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

A pentagon has 55 sides: (5−2)×180=540°(5-2) \times 180 = 540°.

Practice playeasy

A right triangle has an acute angle that measures 22∘.22^{\circ}\textsf{.} What is the measure of the other acute angle?

The right angle measures 90∘,90^{\circ}\textsf{,} and the sum of the interior angles of a triangle is 180∘.180^{\circ}\textsf{.} The other acute angle measures 180∘−90∘−22∘=68∘.180^{\circ} - 90^{\circ} - 22^{\circ} = 68^{\circ}\textsf{.}

Practice playeasy

Two angles are complementary. One measures 10°10°. What is the other?

90−10=80°90 - 10 = 80°.

Practice playeasy

A circle has a radius of 88 inches. What is the circumference, in inches, of the circle?

The circumference of a circle is C=2πrC = 2\pi r. Substitute r=8r = 8: C=2π(8)=16π.C = 2\pi(8) = 16\pi\textsf{.}

Practice playeasy

Find the area of a trapezoid with bases b1=6b_1 = 6 and b2=10b_2 = 10 and height h=7h = 7.

Trapezoid area =12(b1+b2)⋅h=12(6+10)⋅7=12(16)⋅7=56= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(6 + 10) \cdot 7 = \dfrac{1}{2}(16) \cdot 7 = 56.

Practice playeasy

A rhombus has diagonals of length 9 dm9\text{ dm} and 12 dm.12\text{ dm}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅9⋅12=54 dm2.\dfrac{1}{2} \cdot 9 \cdot 12 = 54\text{ dm}^{2}\textsf{.}

Keep practicing

Turn measurement and geometry into game time.

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