Examples for secondary school students - page 110 of 232
Number of problems found: 4622
- Triangle circumference puzzle
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Interest calculation comparison
From € 800 for six months at an interest rate of 7.5% per annum; and - simple interest b - compound interest - Molecule arrangement probability
What is the probability that ten molecules will arrange within the brown motion to be one molecule in the lower half and nine molecules in the upper half in one vessel? - The triangle
Three vertices give the triangle: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - the center of a circle circumscribed - Triangle solving calculation
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm². - Calculate sides
In the triangle, the side length AB = 6 cm, the height to side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the rectangles A and B dimensions. - Petrol consumption graph
The car has a consumption of 6l / 100km. The entire tank contains 50 liters of gasoline. Build a graph of the function expressing the dependence of the amount of petrol in the tank on the kilometers traveled. - Car speed calculation
At 9:00 AM, a car left Zlín in the direction of Brno, 98 km away. At 9:15 AM, a vehicle left Brno in the direction of Zlín and drove at a speed 6 km/h higher than the speed of the car traveling from Zlín. The cars met at 9:45 AM. Calculate the speeds of b - Three-digit palindrome count
How many three-digit numbers do not change if we replace the digit in the hundreds with the digit in the units? - Matrix element count
The determinant of a square matrix of the 1st order equals 3. How many elements does this matrix contain? - Median
The number of missed hours was recorded in 11 pupils: 5,12,6,8,10,7,5,110,2,5,6. Determine the median. - Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Sloth meeting distance
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the - Rectangle area calculation
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area? - Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then? - Achilles and the turtle
It is known that Achilles will not catch up with the turtle. But his brother Auchalles can do it. He even gave the turtle an 8-hour lead. Calculate how far from the start Auchalles will meet a turtle moving at an average speed of 70 m/h if Auchalles walks - The hiker
The hiker will travel 40% of the route on the first day and 1/3 of the rest on the second day. Last day 30 km. What was the length of the 3-day trip? How many kilometers did he walk each day? - The business The business earned CZK 98,400 in the shop in three weeks. Sales were 20% higher in the second week than in the first week. The third week was 10% lower than the second week. How much did the business earn each week?
- Chessboard piece placement
Determine how many ways we can place 5 different pieces on an 8x8 chessboard so that two are on black squares and three are on white squares.
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