Examples for secondary school students - page 27 of 237

Number of problems found: 4730

Right-angled - legs
The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c
Investment
An investment advisor has at his disposal two types of investments for clients: conservative investment A, which provides an annual return of 8%, and riskier investment B with an annual return of 24%. The client can distribute his investment between the t
Seller 3
A seller wanted to sell 100 cheaper and 50 more expensive mobile phones. The price difference between a cheaper and a more expensive mobile is 30 euros. Originally he wanted to sell each cheaper one at a 20% discount and each more expensive one at a 12% d
Grain flour grinding
We get 80 percent flour by grinding grain. How much grain do we need to grind to get 400 kg of flour?
Circus sector seats
In a circus, in one sector for spectators, the seats are arranged in such a way that in each higher row, there is one more seat than in the previous one. How many seats are there in a sector with 22 rows if there are 8 seats in the first row?
Triangle perimeter area
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²?
Four 12
Four classmates (Ivan, Matej, Fero, Ľuboš), who go to school by the same tram connection, agreed that they would meet in the morning at the stop in front of the school. As they promised, so it happened. The first classmate arrived at the stop in front of
Accelerated motion
The position of a mass point that moves along the x-axis is given by the relation x=10t²-5t. Express its velocity and acceleration.
Quadrilateral angle circle
The points ABC lie on the circle k(S, r) such that the angle at B is obtuse. How large must the angle at vertex B of quadrilateral SCBA be so that this angle is three times greater than the interior angle ASC of the same quadrilateral?
Circle equation points
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t,
Ground speed
The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground?
Car showroom 2
A car showroom sells cars - several brands. Over the past month, 61 vehicles in total were sold. Cars equipped with air conditioning were sold three times more than cars of the Škoda brand. Škoda cars which were not equipped with air conditioning were sol
Play match
A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed?
Hypotenuse - construct problem
A line segment AA1 of length 6 cm is given. Construct all triangles ABC for which AA1 is the hypotenuse, side length BC is 5 cm, and angle gamma is 60°.
Office cable cross-section
In the office will be connected: computer 800 W, kettle 2.5 kW, lighting 650 W, oven 1.9 kW; electric stove 3.3 kW; air conditioning 6100 W. As the smallest cross-section of the cables, we have to bring them to this room. Recalculate for Copper and Alumin
Circle point equation
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1].
Number sum subtraction
I think of three numbers; when I add them, I get 16; when I subtract the third from the sum of the first two numbers, I get 10; when I subtract the second from the sum of the first and third numbers, I get 8. Which numbers do I think?
Number percentage sum
5% of the first and 4% of the second numbers add up to 46. 4% of the first and 5% of the second numbers add up to 44. What are the numbers?
Shooter hit probability
In the shooting competition, each shooter fires 5 shots. Shooter Muška will hit the target with one shot with a probability of 60%. What is the probability that he hits at least once out of five shots?
Ship boiler age
The ship and boiler are 49 years old. The ship is twice as old as the boiler was when the ship was as old as the boiler is now. How old is the ship?

Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.