NH SAS Grade 7 Geometry. Practice it free.

Solves geometric problems involving angle relationships, circles, and surface area. This Grade 7 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grade 78 mapped skills
What the test measures

Geometry skills

  1. Draw, construct, and describe geometric figures, including triangles from three measures of angles or sides

  2. Solve problems involving angle relationships

  3. Know and use formulas for area and circumference of a circle

  4. Solve problems involving area, volume, and surface area of two- and three-dimensional objects

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Practice by skill

Topics mapped to this domain

Volume of prisms and cylinders

Grade 731 questions

Angle relationships

Grade 749 questions

Area and circumference of circles

Grade 710 questions

Circle formulas

Grade 729 questions

Multi-step perimeter, area, and volume (ACT)

Grade 77 questions

Surface area in context (SAT)

Grade 710 questions

Surface area and volume

Grade 1015 questions

Triangle inequality

Grade 710 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

A cylinder has r2=9r^2 = 9 and height 33. Using π=3\pi = 3, what is its volume?

V=πr2h=3×9×3=81V = \pi r^2 h = 3 \times 9 \times 3 = 81.

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

A circle has diameter 66. Using π=3\pi = 3, what is its circumference?

C=πd=3×6=18C = \pi d = 3 \times 6 = 18.

Practice playhard

A rectangular prism has volume 7272 cubic centimeters and height 44 centimeters. The length is twice the width. What is the width, in centimeters?

V=ℓwhV = \ell w h and ℓ=2w\ell = 2w, so 72=(2w)(w)(4)=8w272 = (2w)(w)(4) = 8w^2. Then w2=9w^2 = 9 and w=3 cm.w = 3\text{ cm}\textsf{.}

Practice playmedium

A shipping company uses closed rectangular cartons that measure 66 centimeters by 44 centimeters by 55 centimeters. What is the total exterior surface area, in square centimeters, of one carton?

Use SA=2lw+2lh+2whSA = 2lw + 2lh + 2wh with l=6l = 6, w=4w = 4, and h=5h = 5. Then SA=2(6)(4)+2(6)(5)+2(4)(5)=48+60+40=148SA = 2(6)(4) + 2(6)(5) + 2(4)(5) = 48 + 60 + 40 = 148 square centimeters.

Practice playeasy

Find the surface area of a sphere with radius 11. Use π=3\pi = 3.

SA=4πr2=4×3×1=12SA = 4 \pi r^{2} = 4 \times 3 \times 1 = 12.

Practice playmedium

In a triangle, two sides each have length 10.10\textsf{.} Which inequality represents the possible lengths, x,x\textsf{,} of the third side?

The triangle inequality requires ∣10−10∣<x<10+10.|10 - 10| < x < 10 + 10\textsf{.} Simplifying gives 0<x<20.0 < x < 20\textsf{.}

Keep practicing

Turn geometry into game time.

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

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.G.B.68.G.C.97.G.B.57.G.B.4HSG.GMD.A.3
Geometry in other NH SAS grades
Grade 5Grade 6Grade 8
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All NH SAS prepOfficial test source
Reporting categories

More Grade 7 domains

Ratios and Proportional RelationshipsExtends proportional reasoning to solve percent, unit rate, and scale problems.8 QsPractice →The Number SystemApplies operations to rational numbers and works with signed quantities.8 QsPractice →Expressions and EquationsUses algebraic reasoning to write, manipulate, and solve equations and inequalities.8 QsPractice →Statistics and ProbabilityUses data to make inferences and understand probability.8 QsPractice →