Majorship: Mathematics Practice Questions — Set 4

Question 1

What is the Law of Cosines formula for finding side 'c' of a triangle?

Accepted Answer

The equation c² = a² + b² - 2ab cos(C) is the identity.

Answer

The equation c² = a² + b² is the Pythagorean theorem now.

Answer

The equation c / sin(C) = a / sin(A) is the Law of Sines.

Answer

The equation c² = a² + b² + 2ab cos(C) is the identity.

Question 2

How many 'Seconds' are in exactly 2.5 degrees of a specific angle?

Accepted Answer

There are 9000 seconds in the total angular measurement.

Answer

There are 1500 seconds in the total angular measurement.

Answer

There are 150 seconds in the total angular measurement.

Answer

There are 900 seconds in the total angular measurement.

Question 3

What is the 'Slope' of the linear equation 3x - 4y = 12 today?

Accepted Answer

The slope value is exactly 3/4 for this linear equation.

Answer

The slope value is exactly -3/4 for this linear equation.

Answer

The slope value is exactly 3.0 for this linear equation.

Answer

The slope value is exactly -3.0 for this linear equation.

Question 4

In probability theory, what are 'Mutually Exclusive' events?

Accepted Answer

Events that cannot occur at the same time in one trial.

Answer

Events that always occur together in every single trial.

Answer

Events where one result depends on another previous one.

Answer

Events that have the exact same probability of occurring.

Question 5

Which of the following is the 'Converse' of: If it rains, ground is wet?

Accepted Answer

If the ground is wet, then it is raining in the area now.

Answer

It is raining and the ground is not wet in the area now.

Answer

If it is not raining, then ground is not wet in area now.

Answer

If the ground is not wet, then it is not raining in area.

Question 6

Find the area of a trapezoid with bases of 8 and 12 and height of 5.

Accepted Answer

The total area value is exactly 50.0 square units now.

Answer

The total area value is exactly 100.0 square units now.

Answer

The total area value is exactly 60.0 square units now.

Answer

The total area value is exactly 40.0 square units now.

Question 7

Evaluate the value of the factorial expression: 5! / 3! today.

Accepted Answer

The total value of the expression is exactly 20.0 in total.

Answer

The total value of the expression is exactly 2.0 in total.

Answer

The total value of the expression is exactly 60.0 in total.

Answer

The total value of the expression is exactly 120.0 in total.

Question 8

In a circle, what is a line segment whose endpoints lie on the circle?

Accepted Answer

Chord is a segment connecting two points on boundary.

Answer

Diameter is a chord that passes through circle center.

Answer

Secant is a line that intersects circle at two points.

Answer

Radius is a segment from center to the outer boundary.

Question 9

What is the 'Discriminant' of the quadratic equation 2x² - 4x + 3 = 0?

Accepted Answer

The discriminant value is exactly -8.0 for the equation.

Answer

The discriminant value is undefined for this specific one.

Answer

The discriminant value is exactly 8.0 for the equation.

Answer

The discriminant value is exactly 40.0 for the equation.

Question 10

Which of the following is equivalent to the expression (x + y)²?

Accepted Answer

The expression is equal to x² + 2xy + y² in its form today.

Answer

The expression is equal to exactly x² + y² in its form.

Answer

The expression is equal to x² + xy + y² in its form today.

Answer

The expression is equal to exactly 2x + 2y in its form now.

Majorship: Mathematics Practice Questions — Set 4

What is the Law of Cosines formula for finding side 'c' of a triangle?

How many 'Seconds' are in exactly 2.5 degrees of a specific angle?

What is the 'Slope' of the linear equation $3 x - 4 y = 12$ today?

In probability theory, what are 'Mutually Exclusive' events?

Which of the following is the 'Converse' of: If it rains, ground is wet?

Find the area of a trapezoid with bases of 8 and 12 and height of 5.

Evaluate the value of the factorial expression: 5! / 3! today.

In a circle, what is a line segment whose endpoints lie on the circle?

What is the 'Discriminant' of the quadratic equation $2 x^{2} - 4 x + 3 = 0$ ?

Which of the following is equivalent to the expression $(x + y)^{2}$ ?

Majorship: Mathematics Practice Questions — Set 4

What is the Law of Cosines formula for finding side 'c' of a triangle?

How many 'Seconds' are in exactly 2.5 degrees of a specific angle?

What is the 'Slope' of the linear equation 3x−4y=12 today?

In probability theory, what are 'Mutually Exclusive' events?

Which of the following is the 'Converse' of: If it rains, ground is wet?

Find the area of a trapezoid with bases of 8 and 12 and height of 5.

Evaluate the value of the factorial expression: 5! / 3! today.

In a circle, what is a line segment whose endpoints lie on the circle?

What is the 'Discriminant' of the quadratic equation 2x2−4x+3=0?

Which of the following is equivalent to the expression (x+y)2?

What is the 'Slope' of the linear equation $3 x - 4 y = 12$ today?

What is the 'Discriminant' of the quadratic equation $2 x^{2} - 4 x + 3 = 0$ ?

Which of the following is equivalent to the expression $(x + y)^{2}$ ?