Mathematics Majorship Practice Questions — Set 3

Question 1

Find the value of x in the proportion (x+1)/(4) = (3)/(2).

Accepted Answer

5

Answer

4

Answer

7

Answer

6

Question 2

What is the slope of the line perpendicular to 2x - 3y = 6?

Accepted Answer

-3/2

Answer

2/3

Answer

-2/3

Answer

3/2

Question 3

Evaluate: sin^2(15°) + cos^2(15°).

Accepted Answer

1

Answer

0.5

Answer

0

Answer

√3/2

Question 4

If A and B are independent events with P(A) = 0.4 and P(B) = 0.5, what is P(A ∩ B)?

Accepted Answer

0.20

Answer

0.10

Answer

0.90

Answer

0.45

Question 5

Find the coordinates of the midpoint of the segment joining (1, 5) and (7, -3).

Accepted Answer

(4, 1)

Answer

(3, 1)

Answer

(8, 2)

Answer

(4, 4)

Question 6

What is the volume of a sphere with radius 3 units? (Leave in terms of π)

Accepted Answer

36π

Answer

108π

Answer

12π

Answer

27π

Question 7

Which of the following represents a null set?

Accepted Answer

Both A and C

Answer

Set of even primes > 2

Answer

{0}

Answer

emptyset

Question 8

Find the mean of the first 5 prime numbers.

Accepted Answer

5.6

Answer

4.8

Answer

5.0

Answer

6.0

Question 9

What is the value of cos(120°)?

Accepted Answer

-1/2

Answer

√3/2

Answer

1/2

Answer

-√3/2

Question 10

In a triangle, if a=5, b=12, and the included angle is 90°, what is the length of side c?

Accepted Answer

13

Answer

15

Answer

14

Answer

17

Mathematics Majorship Practice Questions — Set 3

Find the value of x in the proportion $\frac{x + 1}{4} = \frac{3}{2}$ .

What is the slope of the line perpendicular to $2 x - 3 y = 6$ ?

Evaluate: $sin^{2} (1 5^{\circ}) + cos^{2} (1 5^{\circ})$ .

If A and B are independent events with $P (A) = 0.4$ and $P (B) = 0.5$ , what is $P (A \cap B)$ ?

Find the coordinates of the midpoint of the segment joining (1, 5) and (7, -3).

What is the volume of a sphere with radius 3 units? (Leave in terms of $π$ )

Which of the following represents a null set?

Find the mean of the first 5 prime numbers.

What is the value of cos(120°)?

In a triangle, if $a = 5, b = 12$ , and the included angle is 90°, what is the length of side c?

Mathematics Majorship Practice Questions — Set 3

Find the value of x in the proportion 4x+1​=23​.

What is the slope of the line perpendicular to 2x−3y=6?

Evaluate: sin2(15∘)+cos2(15∘).

If A and B are independent events with P(A)=0.4 and P(B)=0.5, what is P(A∩B)?

Find the coordinates of the midpoint of the segment joining (1, 5) and (7, -3).

What is the volume of a sphere with radius 3 units? (Leave in terms of π)

Which of the following represents a null set?

Find the mean of the first 5 prime numbers.

What is the value of cos(120°)?

In a triangle, if a=5,b=12, and the included angle is 90°, what is the length of side c?

Find the value of x in the proportion $\frac{x + 1}{4} = \frac{3}{2}$ .

What is the slope of the line perpendicular to $2 x - 3 y = 6$ ?

Evaluate: $sin^{2} (1 5^{\circ}) + cos^{2} (1 5^{\circ})$ .

If A and B are independent events with $P (A) = 0.4$ and $P (B) = 0.5$ , what is $P (A \cap B)$ ?

What is the volume of a sphere with radius 3 units? (Leave in terms of $π$ )

In a triangle, if $a = 5, b = 12$ , and the included angle is 90°, what is the length of side c?