Majorship: Mathematics Practice Questions — Set 1

Question 1

What is the sum of the interior angles of a convex 'Heptagon' (7-sided polygon)?

Accepted Answer

The sum of the interior angles is exactly 900 degrees.

Answer

The sum of the interior angles is exactly 1080 degrees.

Answer

The sum of the interior angles is exactly 720 degrees.

Answer

The sum of the interior angles is exactly 1260 degrees.

Question 2

How many distinct ways can the letters of the word 'PHILIPPINES' be arranged?

Accepted Answer

There are 1,108,800 distinct ways to arrange the letters.

Answer

There are 110,880 distinct ways to arrange the letters.

Answer

There are 39,916,800 distinct ways to arrange the letters.

Answer

There are 4,989,600 distinct ways to arrange the letters.

Question 3

If roots of x² - 5x + k = 0 satisfy r1² + r2² = 13, what is the value of 'k'?

Accepted Answer

The value of the constant k is exactly 6.0 in the equation.

Answer

The value of the constant k is exactly 4.0 in the equation.

Answer

The value of the constant k is exactly 2.0 in the equation.

Answer

The value of the constant k is exactly 12.0 in the equation.

Question 4

Two balls are drawn 'without replacement' from 5 red and 3 blue. Probability both blue?

Accepted Answer

The probability of the event is exactly 3/28 in total now.

Answer

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

Answer

The probability of the event is exactly 9/64 in total now.

Answer

The probability of the event is exactly 3/8 in total now.

Question 5

What is the remainder when the large power of 3²⁰²⁶ is divided by 5?

Accepted Answer

The resulting remainder value is exactly 4.0 today now.

Answer

The resulting remainder value is exactly 1.0 today now.

Answer

The resulting remainder value is exactly 3.0 today now.

Answer

The resulting remainder value is exactly 2.0 today now.

Question 6

In a right triangle, if sin(θ) = 3/5, what is the value of tan(θ) correctly?

Accepted Answer

The value of the tangent is exactly 3/4 in the triangle.

Answer

The value of the tangent is exactly 4/5 in the triangle.

Answer

The value of the tangent is exactly 5/3 in the triangle.

Answer

The value of the tangent is exactly 4/3 in the triangle.

Question 7

What is the 'Arithmetic Mean' of the first 100 positive integers correctly?

Accepted Answer

The resulting mean value is exactly 50.5 in its total now.

Answer

The resulting mean value is exactly 51.0 in its total now.

Answer

The resulting mean value is exactly 5050 in its total now.

Answer

The resulting mean value is exactly 50.0 in its total now.

Question 8

Which theorem states that in a right triangle, a² + b² = c² always holds?

Accepted Answer

The Pythagorean Theorem describes the sides of triangle.

Answer

The Stewart's Theorem describes the lines in triangle.

Answer

The Euclid's Theorem describes the properties of space.

Answer

The Thales's Theorem describes the angles in a circle.

Question 9

Find the line equation passing through (2, 5) and (4, 9) in slope-intercept form.

Accepted Answer

The equation y = 2x + 1 represents this specific line now.

Answer

The equation y = 2x - 1 represents this specific line now.

Answer

The equation y = 2x + 2 represents this specific line now.

Answer

The equation y = 4x - 3 represents this specific line now.

Question 10

What is the 'GCD' (Greatest Common Divisor) of 48 and 72 today?

Accepted Answer

The greatest common divisor is exactly 24 in its value.

Answer

The greatest common divisor is exactly 288 in its value.

Answer

The greatest common divisor is exactly 12 in its value.

Answer

The greatest common divisor is exactly 144 in its value.

Majorship: Mathematics Practice Questions — Set 1

What is the sum of the interior angles of a convex 'Heptagon' (7-sided polygon)?

How many distinct ways can the letters of the word 'PHILIPPINES' be arranged?

If roots of $x^{2} - 5 x + k = 0$ satisfy $r 1^{2} + r 2^{2} = 13$ , what is the value of 'k'?

Two balls are drawn 'without replacement' from 5 red and 3 blue. Probability both blue?

What is the remainder when the large power of $3^{2026}$ is divided by 5?

In a right triangle, if $sin (θ) = \frac{3}{5}$ , what is the value of tan(θ) correctly?

What is the 'Arithmetic Mean' of the first 100 positive integers correctly?

Which theorem states that in a right triangle, $a^{2} + b^{2} = c^{2}$ always holds?

Find the line equation passing through (2, 5) and (4, 9) in slope-intercept form.

What is the 'GCD' (Greatest Common Divisor) of 48 and 72 today?

Majorship: Mathematics Practice Questions — Set 1

What is the sum of the interior angles of a convex 'Heptagon' (7-sided polygon)?

How many distinct ways can the letters of the word 'PHILIPPINES' be arranged?

If roots of x2−5x+k=0 satisfy r12+r22=13, what is the value of 'k'?

Two balls are drawn 'without replacement' from 5 red and 3 blue. Probability both blue?

What is the remainder when the large power of 32026 is divided by 5?

In a right triangle, if sin(θ)=53​, what is the value of tan(θ) correctly?

What is the 'Arithmetic Mean' of the first 100 positive integers correctly?

Which theorem states that in a right triangle, a2+b2=c2 always holds?

Find the line equation passing through (2, 5) and (4, 9) in slope-intercept form.

What is the 'GCD' (Greatest Common Divisor) of 48 and 72 today?

If roots of $x^{2} - 5 x + k = 0$ satisfy $r 1^{2} + r 2^{2} = 13$ , what is the value of 'k'?

What is the remainder when the large power of $3^{2026}$ is divided by 5?

In a right triangle, if $sin (θ) = \frac{3}{5}$ , what is the value of tan(θ) correctly?

Which theorem states that in a right triangle, $a^{2} + b^{2} = c^{2}$ always holds?