Mathematics Skills Assessment

Prove that the opposite sides of a parallelogram are equal.

• Opposite sides of a parallelogram are equal because they are adjacent and congruent.

• Opposite sides of a parallelogram are equal because they are perpendicular and congruent.

• Opposite sides of a parallelogram are equal because they are parallel and congruent.

• Opposite sides of a parallelogram are equal because they are intersecting and congruent.

Calculate the mean, median, and mode of the following data set: 5, 7, 8, 9, 10, 10, 12, 15.

• Mean = 8, Median = 10, Mode = 9

• Mean = 10, Median = 9.5, Mode = 8

• Mean = 9.75, Median = 10, Mode = 12

• Mean = 9.75, Median = 9.5, Mode = 10

In a right triangle, prove that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The square of the hypotenuse = (length of one side) / (length of other side)

• The square of the hypotenuse = (length of one side) - (length of other side)

• The square of the hypotenuse = (length of one side)^2 + (length of other side)^2

• The square of the hypotenuse = (length of one side) x (length of other side)

An experiment has a 70% chance of success. What is the probability of success in 3 consecutive trials?

• 0.7

• 0.5

• 0.9

• 0.343

Using the Pythagorean theorem, find the length of the hypotenuse in a triangle with sides of length 3 and 4.

• 6

• 8

• 5

• 7

If two angles of a triangle are 45 degrees and 60 degrees, find the measure of the third angle.

• 90 degrees

• 120 degrees

• 75 degrees

• 100 degrees

A set of data has a standard deviation of 5. If each data point is increased by 10, what is the new standard deviation?

• 7

• 5

• 3

• 15

Prove that the sum of the angles in a triangle is equal to 180 degrees.

• The sum of the angles in a triangle is equal to 360 degrees.

• The sum of the angles in a triangle is equal to 90 degrees.

• The sum of the angles in a triangle is equal to 270 degrees.

• The sum of the angles in a triangle is equal to 180 degrees.

Find the area of a circle with a radius of 5 units.

• 25π

• 10π

• 20π

• 30π

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

• 50%

• 68%

• 75%

• 90%