MATHEMATICS (PRE BOARDS) MARCH 1 2025

Front

The graph represented by the polar equation r=a+b cos θ is:

Back

limacon

Front

Find the value of x which will satisfy the equation √x - 2 / √x = 1

Back

4

Front

From the base of the building, the angle of elevation of the top of a 4.0 m vertical pole a distance away is 18 deg 50 min. From the top of the building, the angle of depression of the base of the pole is 43 deg 10 min. Find the height of the building.

Back

11.2 m

Front

What percentage of the volume of a cone is the maximum right circular cylinder that can be inscribed in it?

Back

44%

Front

What is the probability that a person agrees with at least one of two political statements if each response combination (NN, ND, DD, DN, DA, AA, AD, and AN) is equally likely?

Back

0.75

Front

What is the correct answer to the policy statements?

Back

5/9

Front

When two lines are parallel, the slope of one is:

Back

equal to the other

Front

The length of the latus rectum of the parabola y = 4px² is:

Back

p

Front

Bob is 2 years from being twice as old as Ellen. The sum of twice Bob's age and three times Ellen's age is 66. How old is Ellen?

Back

10

Front

Assuming that the soap bubble retains its spherical shape as it expands, how fast is its radius increasing when its radius is 2 in, if air is blown into it at the rate of 4 in³/sec?

Back

0.636 in/sec