Basic operations and concepts - math word problems - page 223 of 320
Number of problems found: 6399
- Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
- Similarity
Are two right triangles similar if the first one has an acute angle 60° and the second one has an acute angle 30°?
- Different 4117
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet?
- Twenty-three-year-old 6317
The average age of the first five hockey players was 22 years. The coach replaced the twenty-three-year-old player with a younger one, which lowered the average age of the first five hockey players to 21 years. How old is the new player?
- Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)?
- Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is?
- Production 60701
The enamel for the production of bottles contains defects. The average number of caries is 15 per 100 kg. The bottle weighs 1 kg. What is the proportion of defective bottles?
- Probability 8408
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen?
- Probability 8280
We have ten white, ten red, and ten blue balls in our pockets. We selected five white, two red, and three blue balls. What is the probability that we will pick a white ball in the next move?
- Probability 5576
Jana rolls two dice at the same time. What is the probability that she will score a total of four points?
- Granulate 83503
Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams.
- Calculate 7572
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city
- Everyday
One employee leaves with two briefcases every day and returns on the 4th day. These two briefcases won't be available till the 05th day as the departing employee leaves before the briefcases arrive back and are adequately cleaned. How many briefcases are
- Serial connection
If the voltage on the first resistor is 6 V and the resistance ratio of the first and second resistors is 1:3, what will be the voltage across the second resistor if they are connected in series?
- Janitor
The janitor tosses 28 cm layer of snow on the school grounds for 90 minutes. How many friends would have to call for help if snow needs to have bowled for 15 minutes? We assume that at the same time, we all have the same amount of snow.
- You have
You have four reindeer and want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?
- Auto-tuning
During auto-tuning, the TV searched for 25 channels, four of which were music. The channels are stored in the TV's memory in random order. Express the percentage of the event that We will save the music channel first.
- Down syndrome
Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille.
- Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys
- Balls
From the urn in which are 18 white balls and 10 red, gradually drag 4-times without replacement. What is the probability that pulls balls are in order: červená červená červená biela?
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