Grade - math word problems - page 942 of 968
Number of problems found: 19341
- Cone
A circular cone of height 14 cm and volume 4396 cm³ is cut at one third of its height (measured from the base) by a plane parallel to the base. Calculate the radius and circumference of the circular cross-section. - Earth's circumference
Calculate the length of the circle of latitude at 48°10′ on Earth. - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Rectangle
In rectangle ABCD with sides |AB|=19, |AD|=19, a perpendicular is drawn from point A to diagonal BD, meeting it at point P. Determine the ratio r = (|PB|)/(|DP|). - Rhombus
A rhombus has a side length of a = 20 cm. The points where the inscribed circle touches the sides divide each side into segments of length a₁ = 13 cm and a₂ = 7 cm. Calculate the radius r of the inscribed circle and the lengths of the diagonals of the rho - College
A dormitory has 73 rooms and 254 students. Some rooms are triple occupancy and some are quadruple occupancy. How many of each type of room are there, given that all rooms are fully occupied? - Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the centre S[x₀, y₀] and the radius r of the circle. - Freedom
In the city are 2/4 of women married for 4/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Pine
How much of a mixed forest will a ranger cut down, given the following instructions: "We are cutting down only pine trees, which currently make up 97% of our mixed forest. After the cutting, pine trees should constitute 92% of all remaining trees." - Cube in a sphere
A cube is inscribed in a sphere with volume 8101 cm³. Determine the edge length of the cube. - What is missing (1000)
What number is to add to get 1000? - Decimal expansion
Calculate: 8 . 10 + 7 . 1 + 4 . 100 + 3 . 10000 + 6 . 1000 + 7 . 100000 = - Summand
One of the addends is 155. The second is 18 more. Determine their sum. - Trapezoid MO
Right-angled trapezoid ABCD has a right angle at vertex B. Given that |AC| = 12, |CD| = 8, and the diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Motion problem
One car travels from Martina to Levíc at 89 km/h. Another car travels from Levíc to Martina at 71 km/h. How many minutes before they meet will the two cars be 29 km apart? - Beer
After drinking three 10° beers in a short time, there are 5.2 g of alcohol in the blood of an adult weighing 5 kg. How much is this in per mille? - Ravens
In the tale of the Seven Ravens, there were seven brothers, each born exactly 4 years after the previous one. When the eldest was 4 times older than the youngest, their mother put a curse on all of them. How old were the seven brothers when their mother c - Glasses
Imagine a set of students in your class (number of students: 15) who wears glasses. How many minimum and maximum elements may contain this set? - Windows
Calculate the area of masonry needed to build a wall measuring 18 m × 5 m that has 3 windows each measuring 51 cm × 51 cm. - Class
When Pythagoras was asked how many students attended his school, he replied: "Half of the students study mathematics, a quarter study music, a seventh remain silent, and there are three girls." How many students did Pythagoras have at his school?
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