Examples for secondary school students - page 201 of 231
Number of problems found: 4612
- Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid. - Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the sides' lengths. - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated? - Summerjobs
The agency gives summer jobs to 2352 students in 2025. The one-eighth was high-school students. The rest were undergraduates. How many undergraduates work via an agency in 2025? - Intersection of the lines
How many points do nine lines intersect in a plane, of which four are parallel, and of the other five, no two are parallel (and if we assume that only two lines pass through each intersection)? - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6). - Five members
Write the first five members of the geometric sequence and determine whether it is increasing or decreasing: a1 = 3 q = -2 - James
James paints a fence. If he painted every day, instead of 14 planks, he would do 16 one day earlier. How many planks have a fence altogether? - Crowns
1180 crowns are divided into three: A got 20% less than B, and C got 15% more than B. How many got A, B, and C? - Repair company
The company repairs cars. On the first day, repair half of the contract; on the second day, half of the rest; and on the third day 8 residue cars. How many total cars did the company repair? - The city
At the end of 2010, the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013? - Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Balls
The urn is eight white and six black balls. We pull four random balls. What is the probability that among them will be two white? - Angles and sides of the triangle
Triangle ABC has a circumference of 26 cm. The sides' lengths are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles according to their size. - Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it? - Seamstress 2
The seamstress bought two kinds of textile in whole meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were bought from these two textiles when paid 1540 SKK totally?
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