Examples for secondary school students - page 118 of 230
Number of problems found: 4597
- 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 - Represented 8020
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 - Determine 8010
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 =? - Necklaces 8006
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 7999
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. - Probability 7991
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.) - Equilibrium 7990
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 = - Distribute 7988
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=? - The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Tournament 7975
Eight players took part in the table tennis tournament. The tournament system allows players to play with each other only once. How many matches will take place in this tournament? - Unhatched 7969
92% of the eggs hatched in the incubator. 168 eggs remained unhatched. How many eggs have initially been in the incubator? - Equilateral 7962
After a long dinner, inside a lounge in the shape of a square ABCD, a drunken shopper E lies in such a way that the triangle DEC is equilateral. Spy F lies on the edge of BC, with |EB|=|EF|. What is the size of the angle CEF?
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