Examples for secondary school students - page 136 of 230

Number of problems found: 4597

75th percentile (quartille Q3)
Find 75th percentile for 30,42,42,46,46,46,50,50,54
Isosceles 6673
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long.
Connected 6668
There are three light bulbs connected in a row in the circuit. Which light bulb does the largest electric current pass through?
Electricity 6667
A light bulb with power consumption P = 70 W. It is connected to a mains voltage of 230 V. How big is the electric current that flows through it? How much electricity in kWh will it use if it is on for 9 hours 30 minutes?
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.
Cross-section 6663
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.
Intersection 6653
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.
Describe 6648
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?
Ribbons 6640
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?
Resistance 6626
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 6615
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?
Accommodated 6614
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?

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