Examples for secondary school students - page 160 of 230
Number of problems found: 4586
- Materials 4405
Two trucks were supposed to load the building materials in 10 days. After 6 days of work, the first car broke down, and the second one carried building materials for another 9 days. How many days would the first and second cars take the building materials - Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points? - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Equation: 4386
Solve the power equation: 2.1463 = 0.4179x0.419 - Dataset
Data: 11,15,11,16,12,17,13,21,14,21,15,22 Find the dispersion of a given dataset. - Teachers 4379
The hostel has 90 people; There are three times more boys than girls, and there are 70 fewer teachers than boys and girls together. How many teachers are there? - Medians and sides
Triangle ABC in the plane Oxy has the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try to calculate the lengths of all medians and all sides. - Two similar triangles
Find unknown sides of a similar triangles: a = 6cm, b = 8cm, c =?, a '=?, b '= 12cm, c' = 15cm - Kilograms 4361
From two types of coffee for 450 CZK and 730 CZK per 1 kg, our task is to prepare 20 kg of the blend at a price of 520 CZK per kg. How many kilograms of each type of coffee will be needed to make such a blend? - Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square. - Two trucks
Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km. - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Expensive 4338
He bought a T-shirt, a tie, and a shirt. The tie was three times cheaper than the shirt, and the T-shirt was 70 CZK more expensive than the tie. He paid a total of 470 CZK. How much did he pay for a tie, a T-shirt, and a shirt? - Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c. - Doubling The message is spreading that each day has doubled the number of people who know about it. All know a message for 20 days. How long known it, eighth people?
- Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) gives remainder 4. - Represented 4324
A bag contains 20 candies in five different flavors: cherry, lemon, orange, mango, and cola. We know that there is at least one of each flavor in the pocket and that there are twice as many lemons as cherry ones. How many ways can different flavors be rep - Determinant 4320
Calculate the value of the determinant of a unit matrix with 11 rows. - Sharpeners 4318
Pavel bought three pencils and a sharpener in a stationery store and paid 29 CZK. Jane ordered two pencils and two sharpeners, and her purchase price was CZK 46. How much cheaper is a pencil than a sharpener?
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