Reasoning - math word problems - page 14 of 88

Number of problems found: 1753

Quatrefoil circle radius
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters.
Avocado seed probability
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will sprout?
Operation asterisk pairs
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3?
Quadrilateral triangle segment
The quadrilateral ABCD is symmetrical about the diagonal AC. The length of AC is 12 cm, the length of BC is 6 cm, and the interior angle at vertex B is right. points E and F are given on the sides AB, and AD so that the triangle ECF is equilateral. Determ
Amalia brother siblings
Amalia has as many brothers as sisters. Her brother Ivan has 3 sisters. How many children are there in their family?
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?
Pavla Irena age
Paula is 2x older than Irene. Four years ago, Paula was 6 times as old than Irene was then. In how many years will the ages of Paula and Irene be in the ratio of 4:3? Thanks
Egg cooking time
Three eggs are cooked in 15 minutes; how long will it take to cook 15 eggs at once?
In the fifth
In the fifth grade, which is attended by 88 pupils, two elective subjects are taught: mathematics exercises and sports games. 66 pupils did not attend mathematics exercises, which is 3 more than the number of pupils who did not sign up for sports games. 9
Meeting handshake count
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting?
SKMO
Patricia had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same produc
Garden centre
A garden centre sells seedlings of not yet bloomed roses. From long-term experience it is known that 91% of these seedlings bloom red, but the remaining seedlings do not bloom at all. The average lifespan of a seedling is 36 hours. The roses are sold in b
Equal number multiplication
When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they?
Written test
A written test was taken by 35 students, the test contained 3 tasks, 2 students solved only one task, and three students only two tasks. Task no. 1 and task no. 2 were solved by 16 students, and tasks 2 and 3 by 14 students. All tasks were solved by 10 st
Bus speed distance
A bus travels between places A and B. If it increases its average speed by 5 km/h, the travel time will be reduced by 20 minutes. If he reduces his original speed by 4 km/h, the driving time is increased by 20 minutes. What is the average speed of the bus
Number factor product
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3?
Nikola number difference
Nicole had one three-digit and one two-digit number written in her notebook. Each of these numbers was made up of different digits. The difference in Nicole's numbers was 976. What was their sum?
Parallelogram diagonal construction
Construct a parallelogram ABCD if a=5 cm, height to side a is 5 cm, and angle ASB = 120 degrees. S is the intersection of the diagonals.
Block wall painting
We color a wooden block with dimensions a = 4 cm, b = 3 cm, c = 2 cm and then cut it into cubes of 1 cm³. How many cats will she have? a) just one wall painted b) just two walls stained c) just three walls painted d) no painted wall?
Average of average
Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t

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