Exploring Square Roots (Grade 6)
This worksheet helps sixth-grade students understand and calculate square roots of perfect squares and estimate non-perfect squares.
Includes
Standards
Topics
Exploring Square Roots
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show your work where applicable.
Complete the following sentences about perfect squares.
1. A perfect square is the result of multiplying an integer by .
2. The square root of 49 is because 7 x 7 = 49.
3. The number 100 is a perfect square because its square root is .
Find the square root of each perfect square.
4. √25
5. √81
6. √144
Choose the best estimate for each square root.
7. Between which two whole numbers does √30 lie?
4 and 5
5 and 6
6 and 7
7 and 8
8. Estimate √10.
About 2
About 3
About 4
About 5
Determine if each statement is True or False.
9. The square root of 64 is 8.
True
False
10. The number 20 is a perfect square.
True
False
Solve the following problem. Show your work.
11. A square garden has an area of 121 square feet. What is the length of one side of the garden?
Related Worksheets
Dividing Powers Worksheet
Practice dividing powers with the same base and different bases for grade 6 math students.
Multiplying Powers Worksheet
Practice worksheet for 6th graders on multiplying powers with the same base, including various question types to reinforce understanding.
Powers of Ten Review
A worksheet for 6th graders to practice understanding and calculating powers of ten.
Number Sequences Worksheet
Explore and identify patterns in number sequences, including arithmetic and geometric progressions, for Grade 6 math.
Subtracting Negative Integers
Practice subtracting negative integers with this worksheet, featuring number line visualizations and word problems.
Grade 6 Place Value Relationships
Explore place value relationships in multi-digit numbers, including decimals, for 6th-grade math students.
Consecutive Integers Worksheet
Explore consecutive integers, their properties, and solve problems involving sequences of numbers for Grade 6 math.
Grade 6 Number Forms Worksheet
Explore different ways to represent numbers, including standard, word, expanded, and scientific notation, for Grade 6 math students.