Examples for secondary school students - page 226 of 230
Number of problems found: 4593
- Secret number
Find the secret number n, which reversed decreases by 15.4 if the number increases by 15.4. - Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find the dimensions of the rectangle. - Logarithm
Determine the number whose decimal logarithm is -3.8. - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Seedcake
Seedcake costs 20 cents. How many minimum seedcakes must we buy that we can pay in cash, only whole euros? - Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - Heron backlaw
Calculate the unknown side in a triangle with sides 39 and 38 and area 438.6. - Diamond
Find the side of the diamond if its area is S = 194 cm² and one diagonal u2 = 44 cm. - Trigonometry
If you know that cos(γ) = sin (806°), what is the angle γ? - Steeple
The church tower is seen from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it? - Quadratic equation
Quadratic equation 7x²+bx+c=0 has roots x1 = 67 and x2 = -84. Calculate the coefficients b and c. - ABS CN
Calculate the absolute value of the complex number -6+19i. - Black building
Jozef built building with a rectangular shape 3.9 m × 6.7 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth - Shooters
In the army, regiments are piati shooters. The first shooter target hit with a probability of 42%, next with 40%, 21%, 58%, 67%. Calculate the probability of target hit when shooting all at once. - Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)? - Flags
How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials, so each flag consists of three different colors? - Wood in the forest
The amount of wood in the forest was estimated at 6000 m³. How much wood will be in the forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m³ each year? - Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles. - Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
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