MTTC Mathematics 3

Question 1

Which of the following is an example of an irrational number?

Accepted Answer

√2

Answer

√2 cannot be expressed as a ratio of integers and has a non-terminating, non-repeating decimal, making it irrational.

Question 2

Which transformation preserves both shape and size of a figure?

Accepted Answer

Rigid motion (isometry)

Answer

Rigid motions (translations, rotations, reflections) preserve both shape and size, making figures congruent.

Question 3

A rectangle has a length of 12 cm and a width of 5 cm. What is the length of its diagonal?

Accepted Answer

13 cm

Answer

Using the Pythagorean theorem: d = √(12² + 5²) = √(144 + 25) = √169 = 13 cm.

Question 4

A function f(x) = x² is best described as which type of function?

Accepted Answer

Quadratic

Answer

A function of the form f(x) = ax² + bx + c is a quadratic function, producing a parabolic graph.

Question 5

Which measure of central tendency is most affected by an outlier?

Accepted Answer

Mean

Answer

The mean is calculated using all values, so an extreme outlier significantly pulls it toward that value.

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