Estimate and place square roots and pi on a number line

Grade 8 Math Worksheet - Building Confidence

Circle the best answer.

1. 1.

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

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

   Bo marks √22 for a math club game. The figure shows the squares around 22. Between which two whole numbers is √22?

   • 3 and 4
   • 4 and 5
   • 5 and 6
   • 11 and 12
3. 3.

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

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

   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. 5.

   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. 6.

   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. 7.

   Check: 9 × 9 = 81 and 10 × 10 = 100. Milo locates √83 for a worksheet. The figure shows the squares around 83. Between which two whole numbers is √83?

   • 10 and 11
   • 41 and 42
   • 8 and 9
   • 9 and 10
9. 8.

   Noah estimates √17 on a number line. The figure shows how far 17 is from the squares. Which whole number is √17 closer to?

   • 5
   • 4
   • 4.5
10. 9.

    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
    • 4.5
    • 5
11. 10.

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

    • 5
    • 4
    • 4.5