Examples for secondary school students - page 179 of 237
Number of problems found: 4730
- Reward
Three workers shared a common reward of 13110 CZK: the first worker got 35% less than the second, and the third worker got 20% more than the second worker. How much does each worker earn? - Ice cream
Annie likes ice cream. In the shop are six kinds of ice cream. How many ways can she buy ice cream in three scoops if each has a different flavor mound and the order of scoops doesn't matter? - Horizontal Cylindrical Segment
How much fuel is in the horizontal cylindrical segment tank with a length of 10 m, a width of level 1 meter, and a level of 0.2 meters below the tank's upper side? - Mother and daughter age
A mother is six times as old as her daughter. The mother will be twice as old as her daughter in twenty years. How old is the mother, and how old is the daughter? - Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A. - Inequality with fraction
(1 + 3x) / (x-2)> 3 - Money distribution
Adam, Boris, and Cyril have 21 CZK in total. Adam and Boris together have 11 CZK, and Boris and Cyril together have 13 CZK. How much does each of them have? - Tournament goals
Italy, the Netherlands, and Spain scored 67 goals in the tournament. The Netherlands scored two more goals than Italy, and Spain scored one goal less than Italy. Determine the number of goals. - Chimney - view angle
From a distance of 36 meters from the chimney base, its top can be seen at an angle of 53°. Calculate the chimney height and the result round to whole decimeters. - Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5 cm. - Vector magnitudes
Determine the magnitude of the vectors u = (2,4) and v = (-3,3) - Plane count
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Parallelogram diagonals
One side of the parallelogram is 5 cm. Can it have 3 cm and 6 cm diagonals? - Permutations
How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: a, the digits must not be repeated in the number b, the number should be divisible by five, and the numbers must not be repeated c, digits can be repeated - Competition
Fifteen boys and ten girls are in the class. In the school competition, a six-member team composed of four boys and two girls is selected. How many ways can we choose students? - Store revenue
They had the same sales plan in Mr. Nový's two stores. In the first store, they exceeded the plan by 23% and in the second by 25%. They had a total turnover of € 66,000. What revenue did each store have? - Normal Distribution
GPAs are normally distributed at one college with a mean of 3.1 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.7 and 3.5? - Two trains
Two trains are running the same distance. 1st train will travel in 7 hours 21 minutes. 2nd, the train will travel 5 hours, 57 minutes, and 34 seconds, and it is 14 km/h faster than the first train. What are the speeds of trains, and how long is this railw - Fourland - characters
In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them. - Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c
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