Sets - practice problems - page 3 of 17
Number of problems found: 329
- It consumes
A textile machine uses 7/8 metres of fabric to sew a pair of shorts and 3/5 metres more fabric to sew a T-shirt. Determine whether 30 metres of fabric will be enough to sew 12 complete sets, where one set consists of one T-shirt and one pair of shorts. - Sandwiches, cola and desserts
At a dance party, sandwiches, cola, and desserts were prepared for refreshment. 18 people ate desserts, 29 people ate sandwiches, and 32 people drank cola. Two people did not consume any kind of refreshment. All kinds were consumed by 5 people. Cola and d - Children in Theater
The theater is watched by 3900 spectators, 3200 of whom are women and 700 men, the rest being children. How many children are watching the theater? - 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 participated in the school trip. Six of them had one sibling on the trip, nine children had two siblings, and four had three siblings. The others had no siblings on the trip. After returning, their parents were waiting to take the children hom - 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 - Car showroom 2
A car showroom sells cars - several brands. Over the past month, 61 vehicles in total were sold. Cars equipped with air conditioning were sold three times more than cars of the Škoda brand. Škoda cars which were not equipped with air conditioning were sol - 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?
- In the basket 7
In the basket there are blue, green, purple, and red balls. Tomáš, Peter, and Jakub can distinguish colours but confuse their names. One of them confuses blue colour with green, the second green with purple colour, and the third mistook purple with red. T - 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 passed mathematics, and 41 passed physics. 14 students passed both Czech and mathematics, 15 passed both mathematics and physics, and 11 passed both Czech and physics
- Favourite singers A poll carried out among 200 students of one school found out which of the singers V. Neckář, K. Gott, W. Matuška is the most popular. It brought the following results: Gott is popular with 78 students, Matuška with 75 students, and Neckář with 101. It wa
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