Sets - practice problems - page 3 of 16

Number of problems found: 308

Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line?
Train Set Markings
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this?
Siblings
48 children took part in the school trip. Six of them were there with one sibling, nine children were there with two siblings, and four with three siblings. The others did not have siblings on the trip. After returning, their parents were waiting for the
Pool sidewalk tiles
The rectangular pool has dimensions of 25 meters and 12.5 meters. A 2-meter wide path surrounds the pool. How many square meters of tiles are needed to pave a sidewalk?
Student pet count
There are 24 students in the class. Eleven of them have a dog at home. The tiny rodent has 15 of them. No animal has 5 students at home. How many students have 2 pets at home?
Function graph intersection
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common.
Circle line intersection
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R.
Club animal count
Twenty-nine children attend the club. Eleven said that they have a dog, 14 children have a cat, and 12 children have a hamster. Two children have all three animals. Seven children do not have any animals at home. How many children have at least two of the
Hotel theft suspicion
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion?
Cinema seat probability
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4
Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides.
Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss.
Function definition field
Determine the definition fields of functions: y=4/x (written as a fraction)
200 students
200 students sat exams in Czech, mathematics and physics. 114 students passed Czech, 50 students passed mathematics and 41 students passed physics. 14 students passed both Czech and mathematics, 15 students passed both mathematics and physics, and 11 stud
Fish mushroom respondents
Out of 32 people, 22 like fish. Four fewer people will enjoy the mushrooms. Those who eat mushrooms or fish are 7 times more than those who do not eat mushrooms or fish. How many of the respondents have fish and mushrooms?
Dice coin probability
We roll the dice and then toss the coin as many times as the number that came up on the dice. What is the probability that the coin lands head at least once?
Function graph intercepts
Draw the graph of the function y = -2x + 3. Calculate the coordinates of the intersections of the function's graph with the x and y axes.
A shopkeeper 5
A shopkeeper sold some sets of Pencils and Pens. Each set contained 6 pencils and 2 pens. If the shopkeeper sold 112 pencils and pens, how many pens did she sell altogether?
Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400?
Residents
In a college dormitory, 1/10 of the residents are juniors, and 2/5 of the residents are sophomores. What fraction of the students at the dormitory are juniors and sophomores?

Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.