Examples for secondary school students - page 119 of 232
Number of problems found: 4622
- Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula. - Company Bonus Gender Percentage
One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company? - Power input
The construction lift lifted a 300 kg load to a height of 12 m with uniform movement. If the efficiency is 75% and the engine has a power input of 5 kW, how long did it take for the load to be lifted? - A screen
A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of a central area which is exactly 33% of the screen size? - Three-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five? - Kilograms of sugar
When weighing twenty-kilogram bags of sugar, we found the following values in kg: 1.00; 1.01; 1.05; 0.99; 1.00; 0.98; 0.99; 1.04; 1.06; 0.93; 1.00; 1.03; 0.97; 1.00; 0.99; 1.05; 1.01; 0.94; 1.00 Compile the honesty table to find the mean, mode, and median - Race Stages Length Percentage
The race was divided into four stages. The length of Stages 1 and 4 was 160 km. The length of the second stage represented a third of the total length of the race. The length of the 4th stage was twice as long as the third stage. What percentage of the to - Cone Radius Sector Angle
Determine the cone's base's radius if its shell develops into a circular section with radius "s" = 10 and center angle x = 60 °. r = ?, o =? - Different Colored Necklaces
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create? - Sheep and cows
There are only sheep and cows on the farm. Sheep are eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm? - STRESSED word
Each letter in STRESSED is printed on identical cards, one letter per card, and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled. - Direction Vectors Points
A (5; -4) B (1; 3) C (-2; 0) D (6; 2) Calculate the direction vector a) a = AB b) b = BC c) c = CD - 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 - Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap. - Triangle Side Lengths Probability
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.) - Balance Scales Immersed Bodies
At the end of one arm of the equilibrium scales, which are in equilibrium, a lead body with a volume V1 is suspended in the air. At the end of the other arm is an aluminum body with a volume of V2. The balance arms have sizes l1 and l2, lead density h1 = - Football card distribution
Tomas was to distribute 259 cards with pictures of football players among three friends. And each subsequent friend had to get 2x more cards than the previous one. How many cards did the other friend receive? - Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace, and 2 in the third? - The father wanted
The father wanted to divide the inheritance equally among all his sons and ordered: the eldest son would receive 1000 CZK and one eighth of the remainder, the second would receive 2000 CZK and one eighth of the new remainder, the third would receive 3000 - Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is the measure of triangle BCA=?
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