Square roots of perfect squares

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. Read this first

   Use this

   The same whole number goes in both squares.

2. 1.

   Ari's combination padlock tag shows √4, and the strip below asks which whole number fills both squares. What is √4?

   2
3. 2.

   Bo's puzzle card asks for √9, with a strip of two equal squares drawn. A gold star waits. What is √9?

   3
4. 3.

   Esme's robot shows √16 on its screen, with two equal squares below. It beeps politely. What is √16?

   4
5. 4.

   Hint: 10 × 10 = 100 and 12 × 12 = 144. Luz's robot needs √121 to open a door. The hint shows two squares just below and just above 121. What is √121?

   11
6. 5.

   Hint: 12 × 12 = 144 and 14 × 14 = 196. Milo's padlock tag shows √169, with a hint about the squares on either side of it. What is √169?

   13
7. 6.

   ? × ? = 225. Hint: 14 × 14 = 196 and 16 × 16 = 256. Noah's math book asks for √225. The hint shows two close squares, and one page is folded. What is √225?

   15
8. 7.

   Hint: 16 × 16 = 256 and 18 × 18 = 324. Pia's puzzle card asks for √289, with a hint about two nearby squares. A star sticker is the prize. What is √289?

   17

9. Use this

   The side × itself makes the area.

10. 8.

    Ren's square flower bed has an area of 49 square feet, and the bees approve. How long is each side, in feet?

    7
11. 9.

    Zee cuts a square from paper with an area of 225 square inches. The scissors are very fast. How long is each side, in inches?

    15
12. 10.

    Ari sews a square quilt block with an area of 169 square inches. The cat watches closely. How long is each side, in inches?

    13