SQUARE ROOTS 🔢
What is √64?
What is 8?
What is the formula for the Pythagorean Theorem?
What is a² + b² = c²?
What is 1/2 + 1/4?
What is 3/4?
What is the area of a square with side length 13 cm?
What is 169 cm²?
TRUE or FALSE: All fractions can be written as decimals.
What is TRUE?
Between which two whole numbers is √50?
What is between 7 and 8? (7² = 49, 8² = 64)
A right triangle has legs of 3 cm and 4 cm. What is the hypotenuse?
What is 5 cm? (3-4-5 triangle)
What is 2/3 × 3/4?
What is 6/12 or 1/2?
A square has an area of 144 m². What is its perimeter?
What is 48 m? (side = 12 m, perimeter = 4×12)
What do you call numbers like 1, 4, 9, 16, 25?
What are perfect squares?
A square has an area of 121 m². What is the side length?
What is 11 m?
A ladder is 10 m long and the base is 6 m from the wall. How high does it reach?
What is 8 m? (6² + 8² = 100)
What is 3/5 ÷ 2/3?
What is 9/10? (3/5 × 3/2 = 9/10)
A square patio has an area of 225 m². How much fencing is needed for the perimeter?
What is 60 m? (side = 15 m, perimeter = 60 m)
A triangle has sides 6, 8, and 10. Is it a right triangle?
What is YES? (6² + 8² = 36 + 64 = 100 = 10²)
Is 72 a perfect square? Explain why or why not.
What is NO? (8² = 64 and 9² = 81, so 72 is between perfect squares)
Are these numbers a Pythagorean triple: 7, 24, 25? Prove it.
What is YES? (7² + 24² = 49 + 576 = 625 = 25²)
A recipe needs 2/3 cup of sugar. If you want to make half the recipe, how much sugar do you need?
What is 1/3 cup? (2/3 × 1/2 = 2/6 = 1/3)
A line segment on a grid goes from (0,0) to (6,8). If you build a square on this segment, what is the area?
What is 100 square units? (6² + 8² = 36 + 64 = 100)
Two boats: one is 15 m north of a dock, another is 36 m east. How far apart are they?
What is 39 m? (15² + 36² = 225 + 1,296 = 1,521)
Order from least to greatest: √40, 6, √50, 7
What is: 6, √40, √50, 7?
A rectangular park is 12 m by 9 m. What is the diagonal distance across it?
What is 15 m? (9² + 12² = 81 + 144 = 225)
Place in order from least to greatest: 3/4, 2/3, 5/6
What is: 2/3, 3/4, 5/6? (8/12, 9/12, 10/12)
A rectangular garden is 8 m wide and has an area of 152 m². What is the diagonal length? (to 1 decimal)
What is 20.6 m? (length = 19 m, diagonal² = 8² + 19² = 425)
A baseball diamond is a square with sides 27 m. A player throws from second base to home plate. How far? (to 2 decimals)
What is 38.18 m? (diagonal = 27√2)