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Geometry Formulas - Printable Mathematics Worksheets grade 8 - Wayground

Geometry Formulas

11 questions

7th - 8th Grade

Mathematics

Geometry Formulas is a Grade 7–8 mathematics worksheet that builds recognition of area and volume formulas for common two- and three-dimensional figures. Its 11 multiple-choice questions ask students to identify formulas for squares, triangles, trapezoids, circles, prisms, cylinders, cones, and spheres, as well as recognize the shapes that form the bases of cylinders and trapezoidal prisms. Students also connect geometric information to the Pythagorean Theorem by identifying the height that can be found from a cylinder’s slant height and radius. The worksheet is useful for reviewing formula selection before students solve area or volume problems, checking prerequisite knowledge, or assessing whether students can distinguish related formulas and geometric features. It is a free printable worksheet with a complete answer key for efficient review and grading.

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Geometry Formulas

Total questions: 11

Name
Class
Date
1.
Area of a square:
a)
A=½bh
b)
A=πr2
c)
A=s2
d)
A=s+s+s+s
2.
Volume of a prism
a)
V=⅓Ah
b)
V=¾πr2
c)
V=½bh
d)
V=Ah
3.
The following formula is for the volume of:
V=πr2h
a)
Cylinder
b)
Cone
c)
Triangular Prism
d)
Sphere
4.
Area of a trapezoid:
a)
A=½bh
b)
A=½b1h
c)
A=½(b1+b2)h
d)
A=πd
5.
Volume of a sphere:
a)
V=⅔πr2h
b)
V=πr2h
c)
V=¾πr3
d)
V=⅓πr2h
6.
The following formula is for the volume of:
V=⅓Ah
a)
Cylinder
b)
Trapezoidal Prism
c)
Cube
d)
Cone
7.
The following formula is for the area of:
A=½bh
a)
Rectangle
b)
Circle
c)
Triangle
d)
Trapezoid
8.
The base of a trapezoidal prism is what shape?
a)
Rectangle
b)
Circle
c)
Trapezoid
d)
Hexagon
9.
The base of a cylinder is what?
a)
Rectangle
b)
Lateral Surface
c)
Circle
d)
Oval
10.
The following formula is for the area of :
A=πr2
a)
Square
b)
Cylinder
c)
Circle
d)
Triangular Prism
11.

If you know the slant height and the radius, you can use the Pythagorean Theorem to find the:

a)

Area

b)

Height

c)

Vertex

d)

Circumference

WaygroundAnswer Key

Geometry Formulas

Total questions: 11

1.
c) A=s2
2.
d) V=Ah
3.
a) Cylinder
4.
c) A=½(b1+b2)h
5.
a) V=⅔πr2h
6.
d) Cone
7.
c) Triangle
8.
c) Trapezoid
9.
c) Circle
10.
c) Circle
11.
b)

Height

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FAQs

What does the Geometry Formulas worksheet cover?

This Grade 7–8 worksheet uses 11 multiple-choice questions to assess recognition of area and volume formulas for squares, triangles, trapezoids, circles, prisms, cylinders, cones, and spheres. Students also identify the bases of cylinders and trapezoidal prisms and connect a cylinder’s slant height and radius with finding its height using the Pythagorean Theorem.

How can I use this worksheet to teach geometry formulas?

Introduce the worksheet by sorting the figures into area and volume categories, then have students explain what each symbol represents before choosing an answer. As students work through the multiple-choice items, ask them to justify why a formula belongs to a particular shape—for example, why a formula identifies a cylinder, cone, triangle, or trapezoid—rather than relying on visual familiarity alone.

What mistakes should I watch for when students complete this geometry formulas worksheet?

Watch for students confusing area formulas with volume formulas, especially when they see similar symbols such as A, V, b, h, or r. Students may also match a formula to the wrong solid, confuse a cylinder’s circular base with its lateral surface, overlook that a trapezoidal prism has a trapezoid base, or treat slant height and vertical height as interchangeable in the final item.

How do I assign and grade the Geometry Formulas worksheet?

You can assign this Geometry Formulas worksheet as a printable PDF or use it as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

How can I differentiate this geometry formulas worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the 11 multiple-choice formula items easier to scan. You can also enable a dyslexia-friendly font or translate the worksheet into another language while preserving its area, volume, base-shape, and height-identification focus.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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