Estimate and place square roots and pi on a number line

Grade 8 Math Worksheet - Building Confidence

Circle the best answer.

2. 1.

   Ari plots √10 on a poster number line. The figure shows the squares around 10. Between which two whole numbers is √10?

   • 2 and 3
   • 5 and 6
   • 3 and 4
   • 4 and 5
3. 2.

   Esme places √14 on a chalk number line. The figure shows the squares around 14. Between which two whole numbers is √14?

   Use the picture in question 1.

   • 3 and 4
   • 2 and 3
   • 7 and 8
   • 4 and 5
4. 3.

   Jun reads √38 on a puzzle card. The figure shows the squares around 38. Between which two whole numbers is √38?

   • 6 and 7
   • 5 and 6
   • 19 and 20
   • 7 and 8
5. 4.

   Kira tries to place √55 on a number line. The figure shows the squares around 55. Between which two whole numbers is √55?

   • 27 and 28
   • 8 and 9
   • 6 and 7
   • 7 and 8

6. Read this first

   Use this

   Number line with a tick at every whole number. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers. Check: 8 × 8 = 64 and 9 × 9 = 81.

7. 5.

   Luz finds √67 in a math game. The figure shows the squares around 67. Between which two whole numbers is √67?

   • 9 and 10
   • 33 and 34
   • 7 and 8
   • 8 and 9
8. 6.

   Ren checks √19 for a science project. The figure shows how far 19 is from the squares. Which whole number is √19 closer to?

   • 4
   • 5
   • 4.5
9. 7.

   Tala places √24 on a poster. The figure shows how far 24 is from the squares. Which whole number is √24 closer to?

   • 4.5
   • 5
   • 4
10. 8.

    Zee rounds √11 to the nearest whole number. The figure shows how far 11 is from the squares. Which whole number is √11 closer to?

    • 4
    • 3
    • 3.5
11. 9.

    Ari marks √13 on a number line. The figure shows how far 13 is from the squares. Which whole number is √13 closer to?

    • 4
    • 3
    • 3.5
12. 10.

    Bo estimates √29 for a game. The figure shows how far 29 is from the squares. Which whole number is √29 closer to?

    • 5
    • 6
    • 5.5