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?

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

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

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

   Use the picture in question 1.

   • 11.5
   • 11
   • 12
6. 5.

   Pia checks √95 on a calculator screen. Which whole number is √95 closer to?

   Use the picture in question 1.

   • 9
   • 9.5
   • 10
7. 6.

   Tala rounds √43 on a calculator. What is √43 to the nearest tenth?

   6.6
8. 7.

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

   • Point A
   • Point B
   • Point C
   • Point D
9. 8.

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

   • Point A
   • Point C
   • Point D
   • Point B

10. 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. Squares to try: 5 × 5 = 25 and 6 × 6 = 36.

11. 9.

    Jun adds 1 to a square root on a calculator. Between which two whole numbers is 1 + √30?

    • 5 and 6
    • 7 and 8
    • 6 and 7
12. 10.

    Kira subtracts a root from 9 on a worksheet. Between which two whole numbers is 9 − √45?

    • 6 and 7
    • 2 and 3
    • 1 and 2
    • 15 and 16