Maths practice for 14 year olds - page 350 of 361
Number of problems found: 7215
- 2x cone
A circular cone of height 36 cm is cut by a plane parallel to the base, dividing it into two smaller cones of equal volume. Calculate the height of the smaller cone. - Pediatrician
Pediatrician, this month of 20 working days takes 4 days holidays. What is the probability that it will be at work on Monday? - Work
The first paving machine can pave a pavement in 28 hours, and the second in 26 hours. The first machine started working, and after 2 hours the second machine joined it. How long after the second machine starts will they finish the job together? - 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 - 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. - 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. - 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 - Rhomboid
Calculate the perimeter and area of a parallelogram with sides 19 and 20 and an included angle of 40°. - Right Δ
A right triangle has one leg 54 cm long and a hypotenuse 90 cm long. Calculate the altitude from the right angle to the hypotenuse. - Trains for people
Trains are often associated with delays. Calculate the average travel speed of a train on a 85 km route if the scheduled departure is 7:00 and arrival is 8:18, but the train is delayed — departing at 8:10 and arriving at 9:27. - Work
Workers work five days a week and have 28 days of vacation a year. Calculate how many days is out of work and express it as a percentage. Consider that a year has 52 weeks. - Radians
Convert 90° to radians. Write the result as a multiple of π. - Discount
A ladies' sweater was discounted twice: first by 8%, then by 8% of the new price. Its final price was 66 €. Determine the original price of the sweater. - Permill
How many permills is 1141 from 98313?
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