Examples for secondary school students - page 131 of 237
Number of problems found: 4730
- Survey women respondents
In the survey, 2/3 of those who correctly answered the question were women. 4/5 of all respondents answered the question correctly. How many women answered correctly if a total of 900 respondents participated in the survey? What proportion of all responde - Shopping vegetables
John and his mother were shopping. His mother bought 2 kg of peaches and 5 kg of potatoes and paid CZK 173. The neighbor bought 3 kg of peaches and 4 kg of potatoes and paid CZK 186. How much did 1 kg of peaches and 1 kg of potatoes cost? - A tenth of a second
A frequent competition, even for amateurs, is long-distance running. The running time was measured with a stopwatch with a precision of one tenth of a second. Two other competitors were diligently overtaking each other in the last metres before the finish - Television quality probability
In the department store, they have 100 televisions, of which 85 are of first quality, and 15 are of second quality. The first ten buyers received a premium TV. What is the probability that the eleventh is sold a second-rate TV? - Exercise Books Division Ways
How many ways can three children divide five small and six large exercise books? Admittedly, some get nothing. - Tractors
Wheel and belt tractors each day plow 8 ha of fields. The wheel tractors would have to work to plow 76 hectares for 12 days. Eight days with the belt tractor together. How many hectares do each day of each tractor? - Water current speed.
Two cities along the river are 100 km apart. The powerboat downstream runs for 4 hours, upstream for 10 hours. Determines the river's current speed. - Diagonals of a rhombus 2
One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm2, find the side of the rhombus. - The pool
The pool contains 220 m³ of water. Workers can empty the pool either: a) 10 hours of pipe B and 8 hours of pipe A, or b) 10 hours of pipe A and 7 hours of pipe B. How many cubic meters of water will flow in 1 hour from pipe A, and how many from pipe B? - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Solve 3
Solve a quadratic equation: (6n+1) (4n-1) = 3n² - School acceptance calculation
P girls and four times as many boys applied to a certain school. After the entrance exams, a quarter of the girls and half of the boys got into secondary school. How many students were accepted into the 1st year of this high school? - Two Numbers Product Constant
The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers? - Elevation angles
Two endpoints distant 240 m are inclined at an angle of 18°15'. The top of the mountain can be seen at elevation angles of 43° and 51° from its. How high is the mountain? - Express train
An international express train drove from Kosice to Teplice. In the first 279 km, the track was repaired; therefore, it was moving at a speed of 10 km/h less than it was scheduled to drive. The rest of the 465 km trip has increased the speed by 8 km/h to - Mixing water
We should fill the 30-liter container with water at 60 degrees Celsius. How many liters of 80 °C water and how many liters of 20 °C water do we need to mix? - Effective and mean voltage
A voltage divider consisting of resistors R1 = 103000 Ω and R2 = 197000 Ω is connected to the ideal sine wave voltage source. R2 is connected to a voltmeter, which measures the mean voltage and has an internal resistance R3 = 200300 Ω. The measured value - Three unknowns
Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0 - Pooja
Pooja and Deepa's age is 4:5, and four years ago, it was 8:11. What is Pooja's age now? - Standard deviation
Find the standard deviation for the following grouped data: Age (years); Number of Persons 0–10; 15 10–20; 15 20–30; 23 30–40; 22 40–50; 25 50–60; 10 60–70; 5 70–80; 10
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