Maths practice for 14 year olds - page 129 of 370

Number of problems found: 7387

Pedestrian 43761
From two places, A and B, 27 km apart, a pedestrian will simultaneously walk at a speed of 6 km/h from place A and a cyclist at a rate of 24 km/h from place B. At what distance from place A will they compete?
Rectangular 43751
The dimensions of the rectangular plate on the plan were 8 and 6 cm. The actual plexiglass plate was 7:2 to the plan. What were the exact dimensions of the plate?
Acceleration 43731
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?
Mechanical 43721
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?
Acceleration 43691
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?
Divisions 43621
With a measuring range of 30mA, the hand points to 20 divisions out of 100 divisions of the scale. What current is measured?
Probability 43581
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?
Rotation 43561
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, Mirka, Lucka, and Hanka, collect photos. If Mirka had three more photos, she would have as many as Hanka. If Lucka had five photos less than she has, she would be like Hanka. How many photographs does each have if they have 431 together?
Circumference 43531
A triangle with a circumference 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
They bought the students a set of notebooks for 65 euros. The first set cost € 2 and the second € 3. There were five times as many two-euro as three-euro sets. How many sets of workbooks are there?
Substitutes 43471
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.
Crowns 43441
Petr, Jitka, and Karel have a total of 200 crowns. Petr has five crowns more than Karel. Jitka has 2x more than Karel. How many crowns does Karel have?
The roof
The tower's roof has the shape of a regular quadrangular 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?

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