Math Assessments Geometry

Introduction to math assessments geometry:

Educational assessment is the process of documenting, usually in measurable terms, knowledge, skills, attitudes and beliefs. Assessments can focus on the individual learner, the learning community , the institution, or the educational system as a whole. (Source - Wikipedia)
In this article of math assessments geometry, math assessments questions and answers related to geometry are given. In addition, practice problems for math assessments are given.

I like to share this How do I Find the Circumference of a Circle with you all through my article.

Math geometry assessments questions with answers:


1) Find the Circumference of a circle with radius 23 cm.

Solution:

Circumference of circle  = 2`pi`r

= 2 (3.14) 23

= 144.44 cm

2) Find the midpoint of the line joining ( 3, 7) and ( 6, 11 )

Solution: Given x1 = 3   x2 = 6

y1 = 7  y2 = 11

Midpoint =  ( `(x_1 + x_2)/2` , `(y_1 + y_2)/2` )

=  ( `(3 + 6)/2` , `(7+11)/2` )

=  ( `9/2` , `18/2` )

=  `( 4.5, 9 )`

3) Find the area of a square of side length 33.7 cm

Solution:

Area of a square  =  a^2

= 33.72

= 1135.69 cm2

4) Find the volume of cone given the radius is 11.4 cm and height is 12.7 cm.

Solution:

Volume of cone = 1/3 `pi` r2 h cubic units.

= 1/3  (3.14) * 11.42 * 12.7

=  0.33 * 3.14 * 129.96 * 12.7

=  1710.24 cm^3

5) Find the perimeter of the square with side length of 14.7 feet.

Solution:

Perimeter of square  = 4 * a

= 4 * 14.7

= 58.8 feet

6) The right triangle has the legs of  lengths 4 cm and 15 cm. what is the length of the hypotenuse?

Solution:       Given a = 4  and b = 15

By pythagorean theorem

c^2  =  a^2 + b^2

=  42 + 152

=  16 + 225

c^2   =  241

c = 15.52 cm

Length of the hypotenuse  =  15.52 cm

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Practice geometry assessments questions:


1) Find the Circumference of a circle with radius 13.5 cm.

2) Find the midpoint of the line joining ( 8, 14) and ( 12, 18 )

3) Find the area of a square of side length 20.5 cm

4) Find the volume of cone given the radius is 7 cm and height is 10 cm.

5) Find the perimeter of the square with side length of 22 feet.

6) The right triangle has the legs of  lengths 3 cm and 11 cm. what is the length of the hypotenuse?

Answers:

1) 84.78 cm   2) ( 10, 16 )    3) 420.25 cm^2   4) 507.74 cm^3   5) 88 ft   6) 11.4 cm