Examples for secondary school students - page 30 of 237
Number of problems found: 4730
- Loan yield percentage
You lent €400. The borrower paid you €440 back in 5 months. What was the yield on this loan? - Circumscribed circle
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - Perpendicular forces
Distribute the force of magnitude F = 100 N into two perpendicular components with magnitudes F1 and F2 so that the angle between forces F1 and F is 43°52'. - Triangle angle area
Calculate the size of the largest angle in triangle ABC if a = 7 cm, b = 8 cm, and c = 13 cm. Calculate the area of the triangle, the height per side a. - Trapezoid interior angles
The area for shooting training has the shape of a trapezoid, the parallel sides of which are 36 m, 21 m long, and the remaining sides are 14 m, 16 m long. Determine the size of the interior angles with a longer base. - Triangle point coordinates
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Volleyball tournament teams
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - Column water force
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th - Line coefficient determination
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Boxes
In a white box there are only white balls, in a green box there are only green balls, and in a blue box there are only blue balls. There are 12 white balls and 60 blue ones. Into the white box we transfer from the green and from the blue boxes such a numb - Arithmetic sequence terms
Write the first 5 terms of the arithmetic sequence if the first term is a1=7 and the difference d= - 3 - Product good probability
There are 49 products in the box, of which only 6 are good. We will randomly draw 6 products from them. What is the probability that at least four of the products drawn are good? - Seed plant probability The probability that a plant will grow from a seed is 75%. What is the probability that 5 plants will grow if we assemble 6 seeds?
- Question knowledge probability
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Consecutively numbers
How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)? - Eco-team
The student eco-team at an elementary school pledged to plant a total of 78 trees over three spring months, as the school is celebrating its 78th anniversary. In the second month, they planted half as many trees as in the first month, and in the third mon - In plane 2
Triangle ABC lies in the plane with a right angle at vertex C, where A(1, 2), B(5, 2), C(x, x+1), and x > −1. a) Determine the value of x. b) Determine the coordinates of point M, the midpoint of segment AB. c) Prove that vectors AB and CM are perpendi - Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Polygon diagonal sides
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.)
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