Majorship: Mathematics Practice Questions — Set 3

Question 1

How many 'Degrees' are in 5π/6 radians in standard measurement?

Accepted Answer

The angle measure is exactly 150 degrees in its value.

Answer

The angle measure is exactly 210 degrees in its value.

Answer

The angle measure is exactly 300 degrees in its value.

Answer

The angle measure is exactly 120 degrees in its value.

Question 2

What is the 'Volume' of a 3cm radius, 10cm height cylinder? (π ≈ 3.14)

Accepted Answer

The total volume is exactly 282.6 cm³ for the cylinder.

Answer

The total volume is exactly 94.2 cm³ for the cylinder.

Answer

The total volume is exactly 188.4 cm³ for the cylinder.

Answer

The total volume is exactly 314.0 cm³ for the cylinder.

Question 3

What is the 'Degree' of the polynomial P(x) = 4x⁵ - 2x³ + 7x - 1?

Accepted Answer

The degree of the polynomial is exactly 5.0 in total.

Answer

The degree of the polynomial is exactly 4.0 in total.

Answer

The degree of the polynomial is exactly 3.0 in total.

Answer

The degree of the polynomial is exactly 1.0 in total.

Question 4

What is the probability of drawing a 'King' from a 52-card deck?

Accepted Answer

The probability of the event is exactly 1/13 in total now.

Answer

The probability of the event is exactly 1/4 in total now.

Answer

The probability of the event is exactly 1/52 in total now.

Answer

The probability of the event is exactly 4/13 in total now.

Question 5

What is the 'Derivative' of the function f(x) = x³ - 5x + 2?

Accepted Answer

The derivative is exactly 3x² - 5.0 according to rules.

Answer

The derivative is exactly 3x² + 2.0 according to rules.

Answer

The derivative is exactly x² - 5.0 according to rules.

Answer

The derivative is exactly 3x² - 5x according to rules.

Question 6

What is the square matrix with ones on the diagonal and zeros elsewhere?

Accepted Answer

Identity Matrix has ones on diagonal and zeros elsewhere.

Answer

Zero Matrix contains only zeros in all of its entries now.

Answer

Scalar Matrix has the same non-zero value on the diagonal.

Answer

Diagonal Matrix has non-zeros only on the main diagonal.

Question 7

In a dataset, which value represents the middle observation when sorted?

Accepted Answer

The median represents the center point of the sorted data.

Answer

The mode represents the most frequent value in the data.

Answer

The mean represents the arithmetic average of the data now.

Answer

The range represents the gap between high and low values.

Question 8

Find the sum of the roots of the cubic equation: x³ - 6x² + 11x - 6 = 0.

Accepted Answer

The total sum of the roots is exactly 6.0 in its value now.

Answer

The total sum of the roots is exactly 1.0 in its value now.

Answer

The total sum of the roots is exactly 11.0 in its value.

Answer

The total sum of the roots is exactly -6.0 in its value.

Question 9

Which line contains the orthocenter, circumcenter, and centroid?

Accepted Answer

The Euler Line contains these three significant centers.

Answer

The Vertex Line passes through all vertices of triangle.

Answer

The Hypotenuse Line is the longest side of the triangle.

Answer

The Median Line divides the triangle into equal the areas.

Question 10

Evaluate the definite integral of f(x) = 2x from x=0 to x=5 correctly.

Accepted Answer

The total area value is exactly 25.0 in its magnitude now.

Answer

The total area value is exactly 10.0 in its magnitude now.

Answer

The total area value is exactly 5.0 in its magnitude now.

Answer

The total area value is exactly 50.0 in its magnitude now.

Majorship: Mathematics Practice Questions — Set 3

How many 'Degrees' are in $\frac{5 π}{6}$ radians in standard measurement?

What is the 'Volume' of a 3cm radius, 10cm height cylinder? $(π \approx 3.14)$

What is the 'Degree' of the polynomial $P (x) = 4 x^{5} - 2 x^{3} + 7 x - 1$ ?

What is the probability of drawing a 'King' from a 52-card deck?

What is the 'Derivative' of the function $f (x) = x^{3} - 5 x + 2$ ?

What is the square matrix with ones on the diagonal and zeros elsewhere?

In a dataset, which value represents the middle observation when sorted?

Find the sum of the roots of the cubic equation: $x^{3} - 6 x^{2} + 11 x - 6 = 0$ .

Which line contains the orthocenter, circumcenter, and centroid?

Evaluate the definite integral of $f (x) = 2 x$ from $x = 0$ to $x = 5$ correctly.

Majorship: Mathematics Practice Questions — Set 3

How many 'Degrees' are in 65π​ radians in standard measurement?

What is the 'Volume' of a 3cm radius, 10cm height cylinder? (π≈3.14)

What is the 'Degree' of the polynomial P(x)=4x5−2x3+7x−1?

What is the probability of drawing a 'King' from a 52-card deck?

What is the 'Derivative' of the function f(x)=x3−5x+2?

What is the square matrix with ones on the diagonal and zeros elsewhere?

In a dataset, which value represents the middle observation when sorted?

Find the sum of the roots of the cubic equation: x3−6x2+11x−6=0.

Which line contains the orthocenter, circumcenter, and centroid?

Evaluate the definite integral of f(x)=2x from x=0 to x=5 correctly.

How many 'Degrees' are in $\frac{5 π}{6}$ radians in standard measurement?

What is the 'Volume' of a 3cm radius, 10cm height cylinder? $(π \approx 3.14)$

What is the 'Degree' of the polynomial $P (x) = 4 x^{5} - 2 x^{3} + 7 x - 1$ ?

What is the 'Derivative' of the function $f (x) = x^{3} - 5 x + 2$ ?

Find the sum of the roots of the cubic equation: $x^{3} - 6 x^{2} + 11 x - 6 = 0$ .

Evaluate the definite integral of $f (x) = 2 x$ from $x = 0$ to $x = 5$ correctly.