Majorship: Mathematics Practice Questions — Set 2

Question 1

Evaluate the value of the 2x2 determinant: | 3  2 | / | 1  4 | correctly.

Accepted Answer

The value of the determinant is exactly 10 in its total.

Answer

The value of the determinant is exactly 12 in its total.

Answer

The value of the determinant is exactly 14 in its total.

Answer

The value of the determinant is exactly 5.0 in its total.

Question 2

A circle is inscribed in a 10cm square. What is the area in terms of π?

Accepted Answer

The area of the inscribed circle is exactly 25π cm² today.

Answer

The area of the inscribed circle is exactly 50π cm² today.

Answer

The area of the inscribed circle is exactly 100π cm² today.

Answer

The area of the inscribed circle is exactly 10π cm² today.

Question 3

Which of the following is an example of an 'Irrational Number' today?

Accepted Answer

The square root of 2.0 which has non-repeating decimal.

Answer

The decimal value of 0.75 which represents a fraction.

Answer

The fractional value of 2/3 which represents a ratio.

Answer

The square root of 16 which results in a whole integer.

Question 4

In 50 students, 30 like Math, 25 like Science, 10 both. How many like neither?

Accepted Answer

Exactly 5.0 students like neither Math nor the Science.

Answer

Exactly 20.0 students like neither Math nor the Science.

Answer

Exactly 15.0 students like neither Math nor the Science.

Answer

Exactly 45.0 students like neither Math nor the Science.

Question 5

What is the sum of an infinite geometric series where a = 10 and r = 1/2?

Accepted Answer

The total infinite sum is exactly 20.0 in its value now.

Answer

The total infinite sum is exactly 15.0 in its value now.

Answer

The total infinite sum is exactly 40.0 in its value now.

Answer

The total infinite sum is undefined for this specific series.

Question 6

Evaluate the following logarithmic expression: log₂(32) + log₃(27) now.

Accepted Answer

The total value of the expression is exactly 8.0 now.

Answer

The total value of the expression is exactly 59.0 now.

Answer

The total value of the expression is exactly 5.0 now.

Answer

The total value of the expression is exactly 15.0 now.

Question 7

Which property states that if a = b and b = c, then a = c correctly?

Accepted Answer

The Transitive Property states that the equality transfers.

Answer

The Symmetric Property states if a=b then b is equal to a.

Answer

The Reflexive Property states that a is always equal to a.

Answer

The Addition Property states equal adds result in equality.

Question 8

What is the 'Mode' of the following set: 5, 8, 3, 5, 2, 9, 5, 8, 4 today?

Accepted Answer

The mode value is exactly 5.0 for this numeric dataset.

Answer

The mode value is exactly 5.4 for this numeric dataset.

Answer

The mode value is exactly 9.0 for this numeric dataset.

Answer

The mode value is exactly 8.0 for this numeric dataset.

Question 9

In a 30-60-90 triangle, if shorter leg is 4, what is the hypotenuse?

Accepted Answer

The hypotenuse length is exactly 8.0 units in the total.

Answer

The hypotenuse length is exactly 4√3 units in the total.

Answer

The hypotenuse length is exactly 12.0 units in the total.

Answer

The hypotenuse length is exactly 4.0 units in the total.

Question 10

What is the 'Slope' of a line that is perpendicular to y = -1/3x + 5?

Accepted Answer

The slope value is exactly 3.0 for the perpendicular.

Answer

The slope value is exactly -3.0 for the perpendicular.

Answer

The slope value is exactly 1/3 for the perpendicular.

Answer

The slope value is exactly 5.0 for the perpendicular.

Majorship: Mathematics Practice Questions — Set 2

Evaluate the value of the $2 \times 2$ determinant: | 3 2 | / | 1 4 | correctly.

A circle is inscribed in a 10cm square. What is the area in terms of $π$ ?

Which of the following is an example of an 'Irrational Number' today?

In 50 students, 30 like Math, 25 like Science, 10 both. How many like neither?

What is the sum of an infinite geometric series where $a = 10$ and $r = \frac{1}{2}$ ?

Evaluate the following logarithmic expression: $lo g_{2} (32) + lo g_{3} (27)$ now.

Which property states that if $a = b$ and $b = c$ , then $a = c$ correctly?

What is the 'Mode' of the following set: 5, 8, 3, 5, 2, 9, 5, 8, 4 today?

In a 30-60-90 triangle, if shorter leg is 4, what is the hypotenuse?

What is the 'Slope' of a line that is perpendicular to $y = - \frac{1}{3 x} + 5$ ?

Majorship: Mathematics Practice Questions — Set 2

Evaluate the value of the 2×2 determinant: | 3 2 | / | 1 4 | correctly.

A circle is inscribed in a 10cm square. What is the area in terms of π?

Which of the following is an example of an 'Irrational Number' today?

In 50 students, 30 like Math, 25 like Science, 10 both. How many like neither?

What is the sum of an infinite geometric series where a=10 and r=21​?

Evaluate the following logarithmic expression: log2​(32)+log3​(27) now.

Which property states that if a=b and b=c, then a=c correctly?

What is the 'Mode' of the following set: 5, 8, 3, 5, 2, 9, 5, 8, 4 today?

In a 30-60-90 triangle, if shorter leg is 4, what is the hypotenuse?

What is the 'Slope' of a line that is perpendicular to y=−3x1​+5?

Evaluate the value of the $2 \times 2$ determinant: | 3 2 | / | 1 4 | correctly.

A circle is inscribed in a 10cm square. What is the area in terms of $π$ ?

What is the sum of an infinite geometric series where $a = 10$ and $r = \frac{1}{2}$ ?

Evaluate the following logarithmic expression: $lo g_{2} (32) + lo g_{3} (27)$ now.

Which property states that if $a = b$ and $b = c$ , then $a = c$ correctly?

What is the 'Slope' of a line that is perpendicular to $y = - \frac{1}{3 x} + 5$ ?