Examples for secondary school students - page 233 of 237
Number of problems found: 4733
- 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 prirodzený logarithm is -3.1. - V-belt
Calculate the length of a belt running on two pulleys with diameters of 105 mm and 393 mm, with a centre-to-centre distance of 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 area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is v = 21 cm. - Heron backlaw
Calculate the length of the unknown side of a triangle with sides 39 and 38 and area 438.6. - Diamond
Find the side length of a rhombus whose area is S = 194 cm² and one diagonal is u₂ = 44 cm. - Trigonometry
Given that cos(γ) = sin(806°), find the angle γ. - Steeple
A church tower is seen from the road at an elevation angle of 52°. When we move back a further 29 metres, it is seen at an elevation angle of 21°. How tall is the tower? - Quadratic equation
Quadratic equation -4x²+bx+c=0 has roots x1 = 88 and x2 = -10. Calculate the coefficients b and c. - ABS CN
Calculate the absolute value of the complex number -6+19i. - Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c - Shooters
In a regiment there are piati shooters. The first shooter hits the target with a probability of 42%, and the next with 40%, 21%, 58%, 67%%. Calculate the probability that the target is hit when all shooters fire simultaneously. - 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 if each flag consists of three stripes of different colours? - Wood in the forest
The amount of wood in the forest was estimated at 35000 m³. How much wood will be in the forest after 4 years if the annual growth of wood is 3% each year and logging 700 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 it takes for a bank deposit earning 2.6% p.a. interest to double. - Right triangle
The legs of a 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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