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.

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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:

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Plot each number on the number line:

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

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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.

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

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

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

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