Examples for secondary school students - page 193 of 223
Number of problems found: 4443
- 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? - Geometric sequence 5
About members of the geometric sequence, we know: 3 a5:a3 = 27:25 7 a3 +5 a7 = 1 : 564 Calculate a1 (first member) and q (common ratio or q-coefficient) - Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb). - Goat
The meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow? - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs.
The school purchased the computer 10000. The price of a computer always depreciates the same percentage as the previous year. After four years, the value of the computer is reduced to 1300. How much percent was the declining price of the computer each yeaDo you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
