Estimate and place square roots and pi on a number line

Grade 8 Math Worksheet - Building Confidence

Circle the best answer.

1. 1.

   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
   • 11 and 12
   • 5 and 6
   • 4 and 5
2. 2.

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

   • 5 and 6
   • 7 and 8
   • 19 and 20
   • 6 and 7
3. 3.

   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
   • 7 and 8
   • 8 and 9
   • 6 and 7

4. 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.

5. 4.

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

   • 8 and 9
   • 33 and 34
   • 9 and 10
   • 7 and 8
6. 5.

   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?

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

7. Use this

   Check: 4 × 4 = 16 and 5 × 5 = 25. 21 is 5 above 16 and 4 below 25.

8. 6.

   Pia rounds √21 to a whole number. The figure shows how far 21 is from the squares. Which whole number is √21 closer to?

   • 4
   • 5
   • 4.5
9. 7.

   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
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?

    • 3
    • 4
    • 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?

    • 3
    • 4
    • 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?

    • 5.5
    • 5
    • 6