Square roots of perfect squares

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Ren's puppy gets a square play yard with an area of 144 square feet. The fence goes all around the edge. How many feet of fence are needed?

   48
2. 2.

   Zee's square plant bed has an area of 196 square feet, with a fence all the way around. The plants wave. How many feet of fence are needed?

   56
3. 3.

   Bo's robot shows √(144 + 25) on its screen. It is thinking hard. What is √(144 + 25)?

   13
4. 4.

   Esme's math book asks for √(225 + 64). The sum makes a perfect square. What is √(225 + 64)?

   17
5. 5.

   “A: √121 B: 10 C: √196 D: 13” Kira's notes list four numbers, and some have square root signs. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?

   B, A, D, C
6. 6.

   “A: 9 B: √100 C: √64 D: 11” Luz's notes list four numbers, and some have square root signs. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?

   C, A, B, D
7. 7.

   “A: √1 B: 3 C: √0 D: √4” Milo's notes list four numbers, and some have square root signs. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?

   C, A, D, B
8. 8.

   Ren's square flower bed has an area of 169 square feet, and a path 2 feet wide goes all around it. How long is each side of the bed with its path, in feet?

   17
9. 9.

   Tala's robot shows x² + 5 = 54 and needs the positive number x. What is x?

   7
10. 10.

    Ari's quiz card says k² + 20 = 101, and k is positive. A star waits. What is k?

    9