MATH 7- Review Quiz (Rational,Irrational&Perfect Square)

Which of the following is a rational number?

• 
• 0.75

• 
• 

Which number is NOT rational?

• 
• 2.333... (Repeating decimal)

• 
• 

Sarah says that 0.125 is an irrational number because it has decimals. Is she correct? Why?

• No, because 0.125 is a repeating decimal.

• No, because 0.125 can be written as 1/8, making it rational.

• Yes, because all decimals are irrational.

• Yes, because 0.125 is non-terminating.

Which of the following is an irrational number?

• 4.5

• 7/3

• 
• 0.75

Why is π\pi an irrational number?

• Because it has a decimal point

• Because it has a repeating pattern

• Because it is a perfect square

• Because it never ends and has no repeating pattern

A farmer wants to divide a 144-square-meter plot into a perfect square for planting. What will be the length of each side?

• 10 meters

• 11 meters

• 12 meters

• 13 meters

Marco claims that (Square root of 9) is an irrational number. Is he correct? Why?

• Yes, because square roots are always irrational.

• No, because (square root of 9 = 3, which is a rational number.

• Yes, because 9 is not a perfect square.

• No, because all square roots are rational.

A school is arranging chairs in a square pattern for a graduation event. If there are 81 chairs, how many rows and columns will there be?

• 8 rows and 8 columns

• 9 rows and 9 columns

• 10 rows and 10 columns

• 7 rows and 7 columns

A company is designing square-shaped tables for a cafeteria. If each table must have an area of 225 square centimeters, what should the length of one side be?

• 12 cm

• 14 cm

• 15 cm

• 16 cm

A city is building a square playground with an area of 400 square meters. What is the length of each side?

• 18 meters

• 19 meters

• 20 meters

• 21 meters