Maths practice for 14 year olds - page 302 of 312
Number of problems found: 6239
- Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm.
- Toys
3 children pulled 6 different toys from a box. How many ways can toys be divided so each child has at least one toy?
- Spherical cap
From the sphere with a radius of 21 was a truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere?
- Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days were needed to manufacture 70312 cars last year?
- Troops
The route is long 175 km. On the first day, the first regiment went at an average speed of 14 km/h and back at 24 km/h. On the second day, the second regiment went on the same route at an average speed of 25 km/h there and back. Which regiment will take t
- Pizza
A school survey found that 10 out of 15 students like pizza. If 5 students are chosen randomly, what is the probability that all 5 students like pizza?
- Pediatrician
Pediatrician, this month of 24 working days takes 6 days holidays. What is the probability that it will be at work on Monday?
- Work
The first paver paves the pavement for 27 hours. Second for 27 hours. I started the first paver and, after 4 hours, joined the second. How long will they finish the pavement?
- Earth's circumference
Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes.
- 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 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio r = (|PB|)/(|DP|).
- Rhombus
It is given a rhombus with a side length of a = 20 cm. Touchpoints of the inscribed circle divided its sides into sections a1 = 13 cm and a2 = 7 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus.
- Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number.
- Pine
How much of a mixed forest ranger wants to cut down if their head said: "We only cut down pine trees, which in our mixed forest 98%. After cut, pine trees constitute 94% of all trees left."
- Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube.
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
- Beer
After three 10° beers consumed in a short time, there is 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille?
- Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 4 years after the previous one when the eldest of the brothers was 4-times older than the youngest, mother all curse. How old were seven Ravens brothers when their mother curse
- Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°.
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