Estimate and place square roots and pi on a number line

Answer Key - Grade 8 Math Worksheet

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

2. 1.

   Esme measures a diagonal that works out to √60. Between which two whole numbers is √60?

   • 6 and 7
   • 7 and 8
   • 8 and 9
   • 30 and 31
3. 2.

   Jun gets a card showing a root with a minus sign. Between which two whole numbers is −√150?

   Use the picture in question 1.

   • −12 and −11
   • −14 and −13
   • 12 and 13
   • −13 and −12
4. 3.

   Kira plots a negative root on a number line. Between which two whole numbers is −√30?

   Use the picture in question 1.

   • 5 and 6
   • −7 and −6
   • −6 and −5
   • −5 and −4
5. 4.

   Milo estimates √72 for a science report. Which whole number is √72 closer to?

   Use the picture in question 1.

   • 8
   • 8.5
   • 9
6. 5.

   Noah rounds √125 to a whole number. Which whole number is √125 closer to?

   Use the picture in question 1.

   • 11
   • 12
   • 11.5
8. 6.

   Ren estimates √12 for a model. What is √12 to the nearest tenth?

   3.5
9. 7.

   Zee finds √27 for a robot's path. What is √27 to the nearest tenth?

   Use the picture in question 6.

   5.2
10. 8.

    Bo plots four points for a math club. Which point is closest to √26?

    • Point B
    • Point A
    • Point D
    • Point C
11. 9.

    Esme labels four points on a number line. Which point is closest to √47?

    • Point C
    • Point D
    • Point B
    • Point A
12. 10.

    Milo traces a plate and adds 2 to the number π. Between which two whole numbers is π + 2?

    • 5 and 6
    • 6 and 7
    • 2 and 3
    • 3 and 4