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Geometry and Number Concepts Assessment

Geometry and Number Concepts Assessment

Assessment

Interactive Video

Mathematics

8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers various mathematical concepts for 8th-grade students. It begins with an introduction to the Pythagorean Theorem, followed by solving problems related to finding missing side lengths in triangles. The video also explains area equivalence using squares and triangles, determines the range of square roots between integers, and discusses rational and irrational numbers. Additionally, it simplifies expressions with powers of ten and calculates ribbon lengths using algebraic expressions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate length of the missing side in a triangle with sides 2 and 6 using the Pythagorean theorem?

8.2 units

6.32 units

5.5 units

7.5 units

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If one side of a right triangle is 3 units and the other is 1 unit, what is the length of the hypotenuse?

√5

√10

√13

√17

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a right triangle with sides 3 and 4, what is the length of the hypotenuse?

8 units

7 units

6 units

5 units

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does 5 squared plus 12 squared equal 13 squared according to the proof using areas?

Because the areas of two rectangles are equal

Because the areas of a square and a rectangle are equal

Because the areas of two squares are equal

Because the areas of two triangles are equal

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Between which two integers does the square root of 54 lie?

8 and 9

6 and 7

7 and 8

9 and 10

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a rational number?

π

√2

3.5

√99

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of an irrational number?

7.329329

√2

4.7 repeating

-2.5

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