Examples for secondary school students - page 18 of 232
Number of problems found: 4622
- Rent increase
Calculate how much the rent should be increased for the tenant to cover inflation of 7% per year. The first year, the rent is 550 euros. Calculate the correct rent for the first 5 years so that you have the same rent in "loaves". - Dielectric change
An air capacitor with straight plates has a capacitance C0 = 10 pF and a plate distance d = 1 cm. We place a sheet of thickness ∆= 1 mm in the middle between the plates. What will be the capacitance of the entire device? (Marginal effects can be neglected - Conductor - induction
A conductor in the shape of two circular turns with radii of R=5 cm is placed in a magnetic field with induction B=0.6 T perpendicular to the direction of induction. What is the electromagnetic voltage induced in this conductor when the magnetic field dis - How many 147
How many consecutive natural numbers from 1 to n do you have to add up at least so that their sum exceeds 1000000? - Spherical sector
Calculate the volume and surface area of a spherical sector if the spherical segment that is part of the sector has a base radius r1 = 6 cm and a height v = 2 cm. - Calculate the cylinder
Calculate the volume of the cylinder, given: S = 144π cm² height = 6 cm - View angle
From a tower 20 m high and 20 m away from the river, the width of the river appears to be at an angle of 15°. How wide is the river at this location? - After-school club
30 children in the school club need to split into two teams. They put 15 white and 15 black marbles into a basket and draw lots. The teams will be made up of children who draw marbles of the same colour. Patricia drew first and pulled out a white marble. - Tunnel - quadrilateral
How long will the tunnel AB be, distances AD=35 m, DC=120 m, CB=85 m, and angles ADC=105 degrees and BCD=71 degrees. ABCD is a quadrilateral. - Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an interest rate of 10% p. . a., he paid €19,000 for it. How much € of interest was deducted from the face value of the bill? - 9 rectangles
A large rectangle is divided into 9 small rectangles. How many rectangles are there in total? - Rotational motion of a cylinder
Calculate the kinetic energy of a cylindrical body of radius r= 0.08 meter and mass m= 1.5kg at time t= 5 s, if this body rotates around an axis passing through the center of the cylinder with a constant acceleration Ԑ= 5 rad/s², if at time t=. - Footballers 2
Footballers have jerseys with numbers 7, 8, 9, 10, 11. The coach wants to send them to attack a) so that even jersey numbers are not next to each other b) so that odd jersey numbers are not next to each other. How many options does he have? - Multiple-choice
A multiple-choice test consists of 4 questions. Each question has three different answers, with only one answer being correct. Each question is answered randomly by one student. Determine the expected value for the number of correct answers that the stude - Physics - board, lever
A wooden board weighing 0.5 kg is placed on a table. How much of its length can it protrude over the edge of the table without falling if a weight weighing 0.2 kg is placed at its end? - GP - free
For a geometric sequence, an interesting relationship between the first and third terms applies: a1-a3=-1.5 a3-a1=1.5 Calculate the quotient q and the first term a1. - Equality of Moments A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg. Find the place where the lever must be supported so that it is in balance.
- 4B - truncated pyramid
Calculate the volume of a regular truncated quadrilateral pyramid if the base edges are 10cm and 4cm and the height of the side wall is 5cm. - Me and my father
My father and I are now 55 years old together. When we are 65 years old together, my father will be four times older than me. How old am I? - RRL Basics
What is the length of the smaller base of an isosceles trapezoid and the height, if a = 9 dm, the side is 6 dm and the angle ACB is 90 degrees?
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