Examples for secondary school students - page 172 of 230
Number of problems found: 4586
- Boxes
Two hundred boxes have been straightened in three rows. The first row was 13 more than in the second, and the second was one-fifth more than in the third. How many boxes are in each row? - Tokens
The non-transparent bags contain red, white, yellow, and blue tokens. We pulled one token three times and returned it again, writing down all possibilities. - Blueberries 2
Lenka and Martin collected eight liters of blueberries in two hours. How long will Lenka take to collect blueberries itself if we know that she collects all 2.5 hours less than Martin? - Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle. - Sweets
We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How many of these two candy types are necessary to prepare this mixture? - Resistance
Determine the bulb's resistance with the current 200 mA and is in a regular lamp (230V). - White and black balls
There are seven white and three black balls in an opaque pocket. The balls are the same size. a) Randomly pull out one ball. What is the probability that it will be white? We pull out one ball, see its color, and return it to the pocket. Then we pull out - Cycling trip
At 8 AM start, a group of children from the camp started on a day cycling trip. After 9:00, the weather deteriorated sharply, and the leader decided to send for the children's bus on the same route, which started at 10 hours. For how long and at what dist - Car and cyclist
The cyclist started from town at a speed of 18 km/h. After 1 hour 30 min started the car from town and caught up with the cyclist in 50 minutes. How fast was the car? - Two planes
Two planes are flying from airports A and B, 420 km apart. The plane from A took off 15 minutes later and flew at an average speed of 40 km/h higher than the plane from B. Determine the average speed of these two aircraft if you know that it will meet 30 - 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 10m, a width of level 1 meter, and a level of 0.2 meters below the tank's upper side? - Daughter 3610
A mother is six times older than her daughter. The mother will be twice as old as the daughter in twenty years. How old is the mother, and how many are 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 - Together 3598
Adam, Boris, and Cyril have CZK 21 together. Adam and Boris together have CZK 11, and Boris with Cyrillic CZK 13. Adam has. ... ..CZK, Boris. ... ... CZK and Cyril. ... .CZK. - Netherlands 3595
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 5cm.
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