Squares and Square Roots Practice Quiz

Square Roots and Squares

• Find each square root:
  • √100 = 10
  • √144 = 12
  • √-36 is not a real number
  • √121 = 11
  • √-148 is not a real number
  • -√4 = -2
  • -√9 = -3
  • -√49 = -7
• Find each square root to the nearest tenth using a calculator:
  • √2.25 ≈ 1.5
  • √38 ≈ 6.2
  • √249 ≈ 15.8
  • √131 ≈ 11.4
  • √7 ≈ 2.6
  • √52 ≈ 7.2
  • √168 ≈ 13
  • √499 ≈ 22.4
  • -√217 ≈ -14.7
  • ±√218 ≈ ±14.8
  • ±√42 ≈ ±6.5
  • ±√94 ≈ ±9.7
  • ±√50 ≈ ±7.1
  • ±√11.7 ≈ ±3.4
  • ±√208 ≈ ±14.4
• Find the negative square root of 840 to the nearest tenth: -√840 ≈ -29.0
• If x2 = 476, then x ≈ 21.8
• The number √22 lies between which two consecutive whole numbers: 4 and 5

Geometry

• If a square tarpaulin covering a softball field has an area of 441 m2, then the length of one side of the tarpaulin is: √441 = 21

Classifying Real Numbers

• Classify each real number:
  • 12: W, Z, Q
  • 25: W, Z, Q
  • -5: Z, Q
  • 1-8: I
  • 1-9: I
  • 0.343434...: Q
  • √31: I
  • √7: I
  • -253: Z, Q
  • -324: Z, Q
  • 6.54: Q
  • 24.6: Q
  • 418: W, Z, Q
  • 0: W, Z, Q
  • 0.050050005...: Q

Statements

• Determine whether each statement is sometimes, always, or never true:
  • A whole number is a rational number: always true
  • A rational number is a whole number: sometimes true
  • A negative number is an integer: sometimes true
  • Zero is an irrational number: never true

Inequalities

• Replace each with , or = to make a true statement:
  • √4 ≤ 2
  • 3-7 < √5
  • √104.04 ≈ 10.2
  • 7.8 < √55
  • 15.1 < √231

Ordering Sets of Numbers

• Order each set of numbers from least to greatest:
  • 5, 1-3, 5.3, √28, 2 1-4
  • √53, 7 1-4, 36-5, 7.27
  • -9.35, -√72.75, -9-210, -9

Algebra

• Solve each equation:
  • a2 = 64 → a ≈ 8
  • d2 = 169 → d ≈ 13
  • f2 = 441 → f ≈ 21
  • 76 = g2 → g ≈ 8.7
  • 115 = h2 → h ≈ 10.7
  • k2 = 450 → k ≈ 21.2
  • b2 = 4.41 → b ≈ 2.1
  • y2 = 0.36 → y ≈ 0.6
  • m2 = 0.0025 → m ≈ 0.05