A man tosses ten coins among ten children. The coins are two 5-centavos; three 25-centavos;four 1-peso and one 5-peso. In how many ways can the children share the coins, if each of them is to get one coin?

Two cards are successively drawn from a deck of 52 playing cards with replacement after each draw. Find the probability of drawing a king followed by a queen of the same suit.

Find the sum of the first 30 terms of the arithmetic progression  -15, -13, -11,...

What is the coefficient of x⁶ y⁴  in the expansion (x+y)¹⁰?

A line has equation 2y+5x=6 and meets the y-axis at the point (0, k). Find the value of k.

Juan has three boxes-one red, one white, and one blue. He has 9 different objects. In how many ways can he put 3 objects in each box?

Of 15 persons who have contracted a disease, 10 have completely recovered. Suppose that 5 persons are chosen at random from the 15, what is the probability that exactly 4 have completely recovered?

Given f(x) = x² and g(x) = √x , find the domain of the composition of f with g.

Identify the false statement in the following:

Solve 4^x+2  = 4⁵

Find the measure of each angle of a regular hexagon if the sum of the degree measures ofits angles is 720.

A certain school presented 200 candidates for an examination. Of these 55% were boys and 45% were girls. If the percentages of passing were 80% for boys and 90% for girls, find the percentage of the candidates who failed.

f(n) denotes the largest digit in the number n². For example f(12) = 4, f(16) = 6. What is f(26)?

How many three-letter words composed from the 26 letters of the alphabet are possible?

One circle has a radius of m, and another circle has a radius of 2m. The area of the larger circle is how many times the area of the smaller circle?

The floor area of a square room is given as 18x. Which of the following could be the value of x if the side of the square is a whole number?

Five equal squares are joined together to form a rectangle whose perimeter is 372 cm. What is the area of one square?

An equilateral triangle 8 cm. on each side is divided into smaller equilateral triangles 2 cm on each side. What is the maximum number of such triangles that can be formed?

When people are seated at a circular table, we consider only their positions relative to each other and are not concerned with the particular seat that a person occupies. How many arrangements are there for seven people to seat themselves around a circular table?

If all sides of a square are tripled, the area of the square ____.

In ΔABC, A =52º, a = 10 and b = 20

Which of the following theorems states that two triangles with corresponding angles equal are similar?

The perimeter of a rectangle is 96cm. If its width is 1/3 its length, what is the area of the rectangle?

If the sides of a quadrilateral are tangent to a circle, then the quadrilateral is ________

I. an inscribed quadrilateral

II. a subset of the circle

III. a circumscribed quadrilateral

Which of the following can be an equation of a line that is equidistant from the line with equation y = 2x – 1?

The line y = 3x+ b passes through the point (2, 4). Find b.

In the equations x + y = 2 and 2x + 3y = 7 the values of x and y are

Find the equation of the line with slope 2 that passes through the midpoint of the line segment connecting (3,-2) and (4, 7).

Find the equation of the tangent to the parabola 2x² – 3x + 2y – 4 =0 at point ( -2, -5).

What is the equation of a straight line with a gradient -1 and y-intercept 4?

Which of the following is the equation of the line perpendicular to 2x + 4y = -5?

How many committees of 1, 2, 3, 4, 5, 6, 7 or 8 members can be taken from 8 presidents in a certain college?

A committee of five is to be selected from 5 seniors and 3 juniors. In how many ways can this be done if the committee must be composed of 3 seniors and 2 juniors?

Thiel earns Php 7,200 every month, except December and January when she vacations and earns no income. What is her average (arithmetic mean) monthly income?

If 20 people won prizes in a state lottery, how many ways were there for these 20 to win1st, 2nd, 3rd,and 4th prizes? Assume there were no ties.

How many4-digit numbers can be formed without repeating any digit from the following digits:

1, 2, 3, 4, and6?

A semiconductor company will hire 7 men and 4 women. In how many ways can the company choose from 9 men and 6 women who qualified for the position?

How many positive two-digit numbers are possible such that the number and the sum of its digits are divisible by 7?

Roll a pair of dice. What is the probability that the sum of two numbers is 11?

A card is drawn from a deck of 52 playing cards. Find the probability of drawing a king or a red card.

A box contains 30 good and 10 defective light bulbs. If a bulb is picked at random from the box. What is the probability that it is defective?

A bag contains 3 white and 7 black balls. If two balls are drawn in succession without replacement, what is the probability that both balls are black?

What is the average (arithmetic mean) of  9, 21, 25, and 33?

If p and q are odd integers, which of the following must be true?

I.p + q is even 

II. pq is odd  

III. p + 2q is odd

If a box contains 8 balls, some red and some green, which of the following could be the ratio of red balls to green balls?

If i² = -1 and x = 1+ 2i,

then x² is

If 20 people attended a gathering and each person shake hands with each of the other persons at the gathering, how many handshakes are there in all?

If 2x – 6 is an even integer, what is the next consecutive even integer?

There are eight teams in a basketball league. Each team plays each other exactly once, then how many games will be there in all?