Examples for secondary school students - page 137 of 231
Number of problems found: 4612
- Resistance
A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate the voltage between the terminals of the resistor. - The bulb
Calculate the voltage at the bulb's terminals; if the work 18 J is done to transfer particles with an electric charge of 6 C. - Electric charge calculation
The electric current is 500mA. How much electric charge will pass through the cross-section of the conductor in 4 s? - Oranges - fruit
I have 2 kg of fruit (apples + oranges) for 50, -. 1 kg of apples is for 22, - oranges 1 kg for 34, - How much does each fruit weigh? - Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center. - 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 500m from it. How far does one have to go from the intersection along the other road to see both po - 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 8x8 squares forming a square. A rook is unthreatened if there is no other rook in the row and column in which it stands. What is the probability that when 8 rooks are placed on a chessboard, none of them threaten each other (they
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