Examples for secondary school students - page 141 of 237

Number of problems found: 4730

Bulb 4
In an electric circuit, a bulb (4.5 V, 0.1 A) and a resistor with resistance 45 Ω are connected to a 4.5 V voltage source. Will the bulb shine at full brightness in this circuit? Support your answer with calculations, and possibly look for solutions so th
Triangle measurements
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter.
Age Product Great Grandfather
Monica was born on the day his great-grandfather turned 90. If the product of their age is 1000, how old is Monica?
Electricity consumption
Calculate how much we will pay for 1 hour of consumed electrical energy if the seller sets a price of 0.126 euros for 1 kWh (all appliances together for 1 hour of work). Table: Appliance ; Power (W) Washing machine ; 2300 W Bulb ; 40 W Refrigerator; 200 W
Non-linear effects
Since 2017, the percentage rate of flat-rate expenses has been increased from 40% to 60% of the total income. The monthly limit (420 euros) has been cancelled and the annual limit of the sum of flat-rate expenses is increased from 5 040 euros to 20 000 eu
Performance
Two masons with the same performance would have been made of plaster for six days. One of them, however, has increased its daily performance by 50%. How long would it take them now to make plaster together?
The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX?
Three-digit numbers
How many three-digit numbers do we make from the numbers 4,5,6,7?
Right Triangle Calculations
We know the right angle γ, side b = 14 cm, and height vc = 8.8 cm in the right triangle ABC. Calculate: angle α = angle β = side a = side c =
Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10 cm. Calculate the body volume.
75th percentile (quartille Q3)
Find 75th percentile for 30,42,42,46,46,46,50,50,54
Drawing Similar Triangle
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4 cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long.
Light bulb current
There are three light bulbs connected in a row in the circuit. Which light bulb does the largest electric current pass through?
Light Bulb Power Electricity Usage
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.
Electric charge calculation
The electric current is 500 mA. 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
An ellipse is given by the equation 9x² + 25y² − 54x − 100y − 44 = 0. Find the lengths of the major and minor axes, the eccentricity, and the coordinates of the centre of the ellipse.

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