Examples for secondary school students - page 126 of 230
Number of problems found: 4582
- 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 - Secondary 7394
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? - Differing 7391
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 10km/h less than it was scheduled to drive. The rest of the 465 km trip has increased the speed by 8 km/h to t - Mixing water
We should fill the 30-liter container with water at 60 degrees Celsius. How many liters of water is 80 degrees C hot, and how many liters of water are 20 degrees Celsius warm? Do we have 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 dataset (grouped data): Age (years); No. 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 - Hexagon in circle
Calculate the radius of a circle whose length is 10 cm greater than the circumference of a regular hexagon inscribed in this circle. - Kilograms 7343
Max and Katy weigh 75 kg together, Katy and Tina weigh 71 kilograms, and Max and Tina weigh 80 kilograms. Thus, each of the children weighs 75 kilograms. - Symmetry by plane
Determine the coordinates of an image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0 - Non linear eqs
Solve the system of non-linear equations: 3x²-3x-y=-2 -6x²-x-y=-7
- Water reservoir
One drain hole emptied the water from the tank for 20 hours, with the second drain for 30 hours. How long will the water drain from this tank if we open two drains simultaneously? - Competition 7328
Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a t - Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there? - Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - Confectionery 7318
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament.
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