Mathematics Quiz

Which value is an exact solution of the equation ( m^2 = 14 )?

• 7

• √14

• 3.74

• √3.74

Label each group of numbers as Rational, Whole, Integers, Irrational and/or Natural.

Which is the best explanation for why -√10 is irrational?

• -√10 is irrational because it is not rational.

• -√10 is irrational because it is less than zero.

• -√10 is irrational because it is not a whole number.

• -√10 is irrational because if I put -√10 into a calculator, I get -3.16227766, which does not make a repeating pattern.

Explain how you know that:

Plot each number on the number line:

Mark and label the positions of two square root values between 7 and 8 on the number line.

Here is a diagram of an acute triangle and three squares. Priya says the area of the large, unmarked square is 26 square units because 9 + 17 = 26. Do you agree? Explain your reasoning.

Which of these triangles are definitely right triangles? Explain how you know. (Note that not all triangles are drawn to scale.)

Which of these triangles are definitely right triangles? Explain how you know. (Note that not all triangles are drawn to scale.)

Which of these triangles are definitely right triangles? Explain how you know. (Note that not all triangles are drawn to scale.)