Examples for secondary school students - page 166 of 231
Number of problems found: 4612
- 925 USD
Four classmates saved an annual total of 925 USD. The second saves twice as the first, the third 35 USD more than the second, and the fourth 10 USD less than the first. How does USD save each of them? - Alcohol preparation
We want to prepare 200g of 64% alcohol. We have a sufficient amount of 80% and 45% alcohol. How many of which will we need? - Expression value
Specify the value of this expression: 4! · 2-5 - Cyclist trajectory
The seat of the bicycle is 1.2 m high. The cyclist weighs 82 kg, is going down a 15% hill at a speed of 50 km/h, and hits a curb 20 cm high at an angle of 45 degrees. How far from the center of the front wheel's axis is the cyclist thrown? We are assuming - Exponent equation
Determine what x equals in the equation: (256^x): 10-1 = 40 - Square and rectangle
Calculate the side of a square, which area equals the area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square. - Trapezoid bases
In a trapezoid, the difference is a base of 6 cm. Calculate the lengths of the bottom of a trapezoid when its height is 8 cm and the area of the trapezoid is 168 cm square. - Wire length
What was the length of an iron wire with an area of 3cm² if its resistance was 15 ohms? Iron (Fe) resistivity is 0.0996 x 10 at -6 Ohm/meter. - Collection weight
Tomáš brought the collection 20 percent less than Michal. Filip brought half of what Tomas did. Together, they brought 52.8 kg. How much did he bring? - Two numbers
The sum of two numbers is 10,000, and one is four times larger than the other. What are two numbers? - Round destiny
There are five white and ten red balls in the destiny. Four balls will be drawn at random. What is the probability of the event "at least two spheres are white"? - Atomic diameter
The diameter of the atomic nucleus is 10 to -12cm. How many atoms would fit on a 1 mm line if they could be arranged close together? - Sun density
The volume of the Sun is 1.4x10 per 18 km cubic, and the weight is 2x10 per 30 kg. What is the average density? (in kg/m cubic) - Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions. - Exponent value
Determine what y equals in expression (16^y): 5 = 0.4 - Geometric progression
Determine the quotient and the first member of GP if a3 = 0.52 and a1 + a2 = 0.39. - Square root sum
Determine the sum of the square roots of the number 25. - Cube diagonal
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Geometric progression
Determine the quotient and the first member of GP if a3 = 0.39 and a1 + a2 = 0.39. - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
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