ISIP Math Grades 6-8 Geometry and Measurement. Practice it free.

The Geometry and Measurement domain for grades 6-8 combines concepts of shape with measurement. This includes understanding and applying formulas for measuring various shapes and angles, comparing attributes of shapes (2-D and 3-D), and using the coordinate plane to analyze relationships and solve problems. This Grades 6-8 reporting domain maps to 18 practice skills and 8 representative questions from the playable bank.

Grades 6-8GM18 mapped skills
What the test measures

Geometry and Measurement skills

  1. Understand and apply formulas for measuring shapes and angles

  2. Compare attributes of shapes (2-D and 3-D)

  3. Use the coordinate plane to analyze relationships and solve problems

Standards basis

National Council of Teachers of Mathematics (NCTM) domains and Curriculum Focal Points; Common Core State Standards Initiative; state standards from California, Florida, New York, Texas, and Virginia; Texas Essential Knowledge and Skills (TEKS) for Personal Financial Literacy — national

How the ISIP Math reports it

ISIP Math is an Istation adaptive assessment built on a blended content framework rather than a single external testing consortium. Its technical report says the item bank draws from NCTM domains, Common Core State Standards, and multiple state standards, with Texas TEKS specifically governing personal financial literacy. The technical report also enumerates an NCTM-derived list of reasoning domains (number sense, operations, algebra, geometry, measurement, data analysis, plus probability/statistics, ratios and proportional relationships, and PFL); the operational reporting domains students are scored on, however, are the grade-banded set published on Istation's 'Math Domains and Skills' help page and reproduced in this coverage_map.

Blueprint & weighting

Istation publishes no per-domain item-percentage blueprint for ISIP Math; it is a computer-adaptive assessment whose item selection is driven by student ability rather than a fixed-form domain distribution.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Two angles are complementary. One measures 60°60°. What is the other?

9060=30°90 - 60 = 30°.

Practice playeasy

A circle has a radius of 1111 centimeters. What is the circumference, in centimeters, of the circle?

The circumference of a circle is C=2πrC = 2\pi r. Substitute r=11r = 11: C=2π(11)=22π.C = 2\pi(11) = 22\pi\textsf{.}

Practice playeasy

Find the area of a trapezoid with bases b1=5b_1 = 5 and b2=6b_2 = 6 and height h=4h = 4.

Trapezoid area =12(b1+b2)h=12(5+6)4=12(11)4=22= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(5 + 6) \cdot 4 = \dfrac{1}{2}(11) \cdot 4 = 22.

Practice playeasy

A circle has radius 11. Using π=3\pi = 3, what is its circumference?

C=2πr=2×3×1=6C = 2\pi r = 2 \times 3 \times 1 = 6.

Practice playeasy

What is the distance from (1,2)(1, 2) to (4,6)(4, 6)?

Δx=3\Delta x = 3, Δy=4\Delta y = 4. 32+42=9+16=25=5\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5.

Practice playeasy

Similar triangles GHIGHI and JKLJKL have perimeters 1616 and 48.48\textsf{.} Side GHGH corresponds to side JK,JK\textsf{,} and GH=5.GH = 5\textsf{.} What is the length of JK?JK\textsf{?}

The scale factor from GHI\triangle GHI to JKL\triangle JKL is 4816=3.\dfrac{48}{16} = 3\textsf{.} Corresponding sides scale by 3,3\textsf{,} so JK=53=15.JK = 5 \cdot 3 = 15\textsf{.}

Practice playeasy

In PQR\triangle PQR, P\angle P and Q\angle Q are congruent. The measure of R\angle R is 118.6118.6^{\circ}. What is the measure of Q\angle Q?

Let each congruent angle measure xx^{\circ}. Then 2x+118.6=1802x + 118.6 = 180, so x=180118.62=30.7x = \dfrac{180 - 118.6}{2} = 30.7^{\circ}.

Practice playhard

A rectangular prism has volume 160160 cubic inches and height 55 inches. The length is twice the width. What is the length, in inches?

V=whV = \ell w h and =2w\ell = 2w, so 160=(2w)(w)(5)=10w2160 = (2w)(w)(5) = 10w^2. Then w2=16w^2 = 16, so w=4w = 4 and =8 in.\ell = 8\text{ in}\textsf{.}

Keep practicing

Turn geometry and measurement into game time.

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