Mathematics Assessment Quiz

What does the Triangle Inequality Theorem state?

• The sum of two sides of a triangle must be equal to the third side.

• The sum of two sides of a triangle must be greater than the third side.

• The sum of two sides of a triangle must be less than the third side.

• The sum of two sides of a triangle must be perpendicular to the third side.

Which theorem states that the measure of an exterior angle of a triangle is greater than either of its remote interior angles?

• Triangle Inequality Theorem

• Hinge Theorem

• Exterior Angle Inequality Theorem

• Pythagorean Theorem

Which theorem is useful for comparing the lengths of sides in two triangles with two pairs of congruent sides and unequal included angles?

• Triangle Sum Theorem

• Hinge Theorem

• Exterior Angle Inequality Theorem

• Isosceles Triangle Theorem

What is the definition of a sample space in probability?

• The total number of favorable outcomes in an experiment.

• The set of all possible outcomes of an experiment.

• The probability of an event occurring.

• The subset of outcomes that make up an event.

In probability, what do we call a specific result of an experiment?

• Sample space

• Event

• Outcome

• Probability

If you flip a coin, which of the following represents the sample space?

• {H, T}

• {HH, HT, TH, TT}

• {HH, TT}

• {HT, TH}

A die has six sides numbered 1 to 6. What is the theoretical probability of rolling a number greater than 4?

• 1/3

• ½

• 2/3

• 5/6

A triangle has two sides measuring 7 cm and 12 cm. Which of the following could be the length of the third side?

• 20 cm

• 5 cm

• 10 cm

• 2 c

Triangle ABC has sides measuring 5 cm, 8 cm, and 12 cm. Does this form a valid triangle?

• Yes, because the sum of any two sides is greater than the third side.

• No, because the sum of the two shorter sides is not greater than the longest side.

• Yes, because all three sides have different lengths.

• No, because a triangle must have at least one right angle.

Two sides of a triangle measure 6 cm and 10 cm. What is the possible length of the third side?

• 16 cm

• 2 cm

• 3 cm

• 12 cm