Examples for secondary school students - page 200 of 230
Number of problems found: 4597
- Tent
A pyramid-shaped tent has a base square with a side length of 2 m and a height of 1.7 m. How many meters of canvas is needed to make it if we should add 10% for waste? - Bottles of juice
How many 2-liter bottles of juice need to buy if you want to transfer the juice to 50 pitchers' rotary cone shape with a diameter of 24 cm and a base side length of 1.5 dm? - Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7:5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z. - Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine the angles of the triangle ABC. - Medians in triangle
The median of the isosceles triangle is 3 cm long. If its perimeter is 16 cm, determine the size of its sides. - 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)?
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