Examples for secondary school students - page 142 of 237
Number of problems found: 4730
- Viewing Two Poles
Two straight paths cross, making an angle alpha = 53 degrees 30'. There are two pillars on one of them, one at the intersection, the other at a distance of 500 m from it. How far does one have to go from the intersection along the other road to see both p - In a 2
In a thirteen-sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal, and the other four are 18° less than each of the equal angles. Find the angles. - Number ratio
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - Choosing Colors for Sweater
Danka knits a sweater and has a choice of seven colors. a) How many ways can he choose three colors for the sleeves? b) He wants ribbons of four colors on his back. How many options does he have to choose from? - Resistors Series Parallel
Two resistors of 20 Ω and 30 Ω are connected in the electrical circuit. a, Calculate the total resistance in the electrical circuit if the resistors are connected in series. b, Calculate the total resistance in the electrical circuit if the resistors are - Intercept with axis
F(x)=log(x+4)-2, what is the x intercept - Divisible numbers
How many 3-digit numbers can be composed of the digits 1,3,5,7,9 if the digits are not allowed to be repeated in the number notation? How many of them are divisible by five? - Arranging Students in Rooms
Sixteen students on the brigade will be accommodated in one 8-bed and two 4-bed rooms. How many ways can they do that? - Blocks
There are nine interactive basic building blocks of an organization. How many two-block combinations are there? - Cinema seating
Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other? - Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Probability
A chessboard consists of 8×8 squares forming a square. A rook is unthreatened if there is no other rook in the same row or column. What is the probability that when 8 rooks are placed on a chessboard, none of them threatens another (they each stand in a d - Jewelry box
The jewelry box is in the shape of a four-sided prism with the base of an isosceles trapezoid with sides a=15 centimeters, b is equal to 9 centimeters, c is equal to 10 centimeters, c is equal to 7 whole 4 centimeters. How much fabric is needed to cover a - Opposite direction - walkers
Father Eduard from place A and son Jaroslav from place B set out at the same time towards each other. The faster one is the father and the slower one the son. They meet at 12 o'clock and continue further along the route of their "opposite walker". The fas - Diagonals
What x-gon has 54 diagonals? - Students Language Proficiency German
Two hundred fifty-five students of a certain high school know one other language in addition to English. Twenty-three more pupils mastered the German language than the Spanish language. The French language is mastered by 37 fewer pupils than the German la - Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles. The shorter side has all three rectangles the same. Their longer sides are three consecutive natural numbers. What are the dimensions of each rectangle? - Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17 cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r a
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