Examples for secondary school students - page 156 of 230
Number of problems found: 4583
- 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? - Potatoes 6
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes, in the second hour, he sold five-sixth of the remaining potatoes, and in the third hour, he had sold the last 40kg of potatoes. How many kilograms of potatoe - Math test
Students wrote a math test. The average number of points obtained by them was 64. Another student wrote this test for 80 points. If the teacher added his result to the original ones, the total average of all students would be 65. How many students origina
- Empty canister
The canister is filled with oil and weighs 17 kg. Suppose only half is filled, weighing 9 kg. What weight does my empty canister have? - Production 4704
The monthly production schedule of the two companies totaled 360 machines. When the first company met its plan at 105% and the second at 117%, the two companies produced 402 machines. Determine the original monthly schedules of both businesses. - Three-digit code
The five cards with the numbers 1, 2, 3, 4, and 5 put together all three-digit odd numbers. How many are there? - Circular 4690
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout? - Calculate 4689
The area of the rotating cone shell is 240 cm2, and the area of its base is 160 cm². Calculate the volume of this cone.
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