Square roots of perfect squares

Grade 7 Math Worksheet

NameDate

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

  1. Luz's quiz asks for √324, and the answer is a whole number. The pencil is freshly sharpened. What is √324?

  2. Milo's science book asks for √361, and the answer is a whole number. What is √361?

  3. Pia's puzzle card asks for √36. The answer is a whole number, and a gold star waits. What is √36?

  4. Ren's padlock tag says x² = 49, and x is a positive number. The dials circle hopefully. What is x?

  5. Ari's quiz card says x² = 289, and x is positive. A star sticker is the prize. What is x?

  6. Esme's math book lists four numbers, and only one is a perfect square, a whole number times itself. Which number is it?

    • 30
    • 226
    • 224
    • 225
  7. Kira's padlock opens with a perfect square, a whole number times itself. Only one of the four numbers is one. Which number is it?

    • 361
    • 362
    • 38
    • 360
  8. Pia's robot compares √64 with 8 and blinks twice. Which statement is true?

    • √64 is greater than 8
    • 8 is greater than √64
    • They are equal
  9. Ren's puzzle card says √81 + 5. A square root is worked out first. What is √81 + 5?

  10. Zee's quiz card compares √81 with 7. One statement is true. Which statement is true?

    • √81 is greater than 7
    • 7 is greater than √81
    • They are equal
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Square roots of perfect squares

Answer Key - Grade 7 Math Worksheet

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

  1. Luz's quiz asks for √324, and the answer is a whole number. The pencil is freshly sharpened. What is √324?

    18
  2. Milo's science book asks for √361, and the answer is a whole number. What is √361?

    19
  3. Pia's puzzle card asks for √36. The answer is a whole number, and a gold star waits. What is √36?

    6
  4. Ren's padlock tag says x² = 49, and x is a positive number. The dials circle hopefully. What is x?

    7
  5. Ari's quiz card says x² = 289, and x is positive. A star sticker is the prize. What is x?

    17
  6. Esme's math book lists four numbers, and only one is a perfect square, a whole number times itself. Which number is it?

    • 30
    • 226
    • 224
    • 225
  7. Kira's padlock opens with a perfect square, a whole number times itself. Only one of the four numbers is one. Which number is it?

    • 361
    • 362
    • 38
    • 360
  8. Pia's robot compares √64 with 8 and blinks twice. Which statement is true?

    • √64 is greater than 8
    • 8 is greater than √64
    • They are equal
  9. Ren's puzzle card says √81 + 5. A square root is worked out first. What is √81 + 5?

    14
  10. Zee's quiz card compares √81 with 7. One statement is true. Which statement is true?

    • √81 is greater than 7
    • 7 is greater than √81
    • They are equal