Examples for secondary school students - page 156 of 230
Number of problems found: 4597
- Equation: 4816
Solve the equation: 1/c - 3/(2c) = 3/4 - Accelerating 4813
When accelerating from 0 to 100 km/h in 9.3 seconds, what distance will the car travel? - Two aces
From a 32-card box, we randomly pick 1 card and then two more cards. What is the probability that the last two drawn cards are aces? - Youngest 4808
Peter, Leo, and Ivo are siblings. Peter is three times older than Leo, and Leo is three times younger than Ivo. They are 28 years old together. How many years is the youngest of them? - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - Hamsters 4802
In the morning, they had five times more hamsters than guinea pigs in the store. After selling 4 guinea pigs and 4 hamsters, they were left with four times as many hamsters as guinea pigs. How many hamsters and guinea pigs did they have together in the sh - Flowers + orchards + lawn
The garden around the flat house is divided as follows: 30 percent flowers, 35 percent orchards, and 150 square meters from the lawn. What is the total area? - Quadratic inequation If 5x + x² > 100, then x is not
- Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Circular segment
Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm, and the angle α = 60°. Help formula: S = 1/2 r². (Β-sinβ) - Electricity consumption cost
Last year, Carol's family reduced its electricity consumption by 31% compared to the previous year and paid CZK 2883 less. How much CZK was electricity last year, and how many two years ago? - Tournament 4771
Eight tennis players took part in the tennis tournament. They were divided into two groups of four. In each group, everyone played each other once. The winner of the first group played the winner of the second group in the final. They did not play other m - Trapezoid 15
The area of a trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1, and height h is x+4 - Alternate 4766 Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck from the bottom. The first, second, and third players alternate regularly. In which round does the first player draw again the card he got rid of in the
- Combinations 4762
Please calculate the possibility of combining three numbers, where each number can be from 0 to 9. For example, the number of combinations on the suitcase is equipped with close to three digits. - Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm. - Investment of the year
At the beginning of the year, my father invested EUR 1,000 in the bank at an annual interest rate of 3%. How many euros will the bank credit him with the deposit after eight months? (compound interest - from financial mathematics) - Difference 4749
How big a difference in altitude will the cable car overcome when it rises 1200 m at a 70-degree angle? - Isosceles 4741
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Salami
We have six kinds of salami, six of which have ten pieces, and one of which has four pieces. How many ways can we distinctly choose five pieces of salami?
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