Examples for secondary school students - page 214 of 230
Number of problems found: 4586
- Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0. - Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates? - RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26. - Asymptote
What is the vertical asymptote of f(x) = (-2x-8)/(2x+26) - Vectors
For a vector w is w = 2u-5v true. Find coordinates of vector w if u=(3, -1), v=(12, -10). - Series
Your task is to express the sum of the following arithmetic series for n = 24: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11 - Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Silo
The outer perimeter of the silo is 10 m. The concrete wall is 13 cm thick. What is the diameter and area of the inside floor of the silo? - Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb? - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302. - Peleton
The cycling race was run at an average speed of 42 km/h. One cyclist lost with defect 9 minutes. How long and far must he go at speed 47 km/h to catch the peloton again? - Retail
At what price can the retail 1 kg goods be bought from wholesale if the weight lost in distribution is 4%, and retail still has a profit of 6.3%? Goods are sold at retail for 25 euro per kg. - SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle. - Cyclist
A cyclist is moving at 34 km/h and follows a pedestrian walking at speed 5.5 km/h. The walker has an advantage 12 km. How long does it take a cyclist to catch up with him? - Sequence
Between numbers, 11 and 115, insert n members of the arithmetic sequence whose sum is 2835. - Reference angle
Find the reference angle of each angle: - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals.
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