Maths practice for 14 year olds - page 135 of 362

Number of problems found: 7235

Car acceleration time
The car starts with constant acceleration, and at a distance of 567 m, it has a speed of 12.6 m/s. How long will it take from the start?
Body energy
A body weighing 2 kg falls from a height of 45 m in a free fall. What will be its potential energy and total mechanical energy after 2 s from the beginning of the movement?
Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1?
Car acceleration runway
The car reaches a steady acceleration in 24 seconds from a standstill speed of 100 km/h. What runways will he reach on departure?
The inheritance
Dad initially decided to bequeath the money to his two sons so that they would share it 8:7 (older and younger). Then, he changed his mind and divided the same amount into a ratio of 11:9 (older and younger). This step increased the inheritance value for
Side and diagonal
Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm.
The painter
The painter lived to be 82 years old. In the 20th century, he lived 32 years longer than in the 19th century. In what year was he born?
Current measurement
With a measuring range of 30 mA, the hand points to 20 divisions out of 100 divisions of the scale. What current is measured?
Dice sum probability
What is the probability that the sum of 12 will fall on a roll of two dice? A. 1/6 B. 1/36 C. 1/18 D. 36
Heads and legs
There are chickens and rabbits in the yard. Together, they have 108 legs and 33 heads. How many chickens are there? How many rabbits are there?
Swing balance
The boy is sitting on a two-arm swing, and his seat is 300 cm away from the center of rotation. Its weight is 48 kg. The girl is sitting at the other end of the swing, and her mass is 36 kg. How far from the center of rotation must the girl sit for them t
Photos
Three friends, Miranda, Lucy, and Hannah, collect photos. If Miranda had three more photos, she would have as many as Hannah. If Lucy had five photos less than she has, she would be like Hannah. How many photographs does each have if they have 431 togethe
Triangle area
A triangle with a perimeter of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle.
They bought
Students bought sets of notebooks for a total of 65 euros. One type of set costs €2 and another costs €3. There were five times as many €2 sets as €3 sets. How many sets were bought in total?
Snow pressure
What pressure will the falling snow exert on the roof of the house? The weight of snow on the entire roof is 150 kg. The area of the lookout, covered with snow, is 10 m². - Don't forget the notation; the formula then substitutes the result.
Money distribution
Peter, Judy, and Charles have a total of 200 crowns. Peter has five crowns more than Charles. Judy has 2x more than Charles. How many crowns does Charles have?
The roof
The tower's roof has the shape of a regular quadrilateral pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste.
The square
The square oak board (with density ρ = 700 kg/m³) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?
1200 screws
1200 screws are to be divided into three groups so that in the 1st group, there are 300 screws more than in the 2nd group, and in the 2nd group, 150 screws less than in the 3rd group. How many screws will be in each group?
Altitude angle
In complete winds-free weather, the balloon took off and remained standing exactly above the place from which it took off. It is 250 meters away from us. How high did the balloon fly when we saw it at an altitude angle of 25°?

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