Examples for secondary school students - page 142 of 230
Number of problems found: 4586
- Exponentially 6065
The intensity of daylight penetrating seawater decreases exponentially depending on its depth. At a depth of 6m, it is reduced by half. The underwater camera needs at least 75% of the daylight intensity for recording. To what depth can we use it under thi - Deposited 6059
On January 2nd, 2009, Janko's father deposited €3,000 in the bank's passbook. The bank provides an annual interest of 0.30% for deposits up to €5,000. However, Janko's father collected the money after eight months. What is interest in euros added to it? - Parallelogram - area
Calculate the area of the parallelogram if a = 57cm, the diagonal u = 66cm, and the angle against the diagonal is beta β = 57°43' - Interest 6047 Mr. Demikát took out a loan worth 5,000 euros from the bank with an interest rate of 12 percent. How many months will it repay if the monthly payment is 80 euros?
- Interest 6043 Mr. Vysoky took out a mortgage on the house. He borrowed a total of 2 million for ten years. The interest rate was 2.3%. How much will Mr. Vysoky pay in total if the interest rate does not change?
- Two chords
In a circle with a radius of 8.5 cm, two parallel chords are constructed, the lengths of which are 9 cm and 12 cm. Find the distance of the chords in a circle. - Difference 6029
Between the resorts is 15km, and the climb is 13 permille. What is the height difference? - Combinations 6
Six purses Nine flaps 12 straps Every combination must include one purse, one flap, and one strap. How many are possible combinations? - Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side. - Find two
Find two consecutive natural numbers whose product is one larger than their sum. Searched numbers are expressed by a fraction whose numerator is the difference between these numbers, and the denominator is their sum. - One-third 6009
In the forest nursery, children planted new trees for 3 days. They planted a total of 84. On the second day, they planted 75% of what they did on the third day. On the first day, they planted exactly one-third of all planted trees. How many trees did the - Equations 6005
Solve a system of two equations with two unknowns, x and y: 3x - 4y = 12 -x + 3y = 1 Will the sum of x + y be equal? - Right triangular prism
We have a cuboid with a base and dimensions of 12 cm and 5 cm and a height of 4 cm. The tablecloth is cut into two identical triangular prisms with right triangular bases. We painted the surface of the created prisms with color. Calculate the surface area - Supermarket 6000
The goods, whose original price was CZK 1,200, were discounted twice. First by 15%, later by 10% of the new price. Find the final price and the percentage by which the supermarket discounted the goods in total. - Dimensions 5996
How many cubes with an edge of 10 cm will fit into a block with dimensions of 2 dm, 3 dm, and 5 dm? - Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Cube edges If the edge length of the cube increases by 50%, how does the volume of this cube increase?
- Depreciation 5990
The price of the car was € 15,000. What will be the price of a car with an annual depreciation of 1% in 8 years? - Everyone 5965 We bought towels for CZK 432. If there were six more towels for the same money, everyone would be 66 CZK cheaper. How many towels were there?
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