Maths practice for 14 year olds - page 50 of 376

Number of problems found: 7503

Mast angles and height
Calculate the height of the mast, whose foot can be seen at a depth angle of 11° and the top at a height angle of 28°. The mast is observed from a position 10 m above the level of the base of the mast.
The rotation cone
The rotation cone with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume.
Pool man woman
A total of 680 adults visited the swimming pool yesterday, among whom there were 30% fewer men than women. How many men visited the swimming pool yesterday?
Pupil room distribution
Pupils on ski training lived in 29 rooms, some of which were 4-bed, others 5-bed. How many were there when there were 120 children?
A raft
I want to build a raft, and I have beams with a square section with side a=20cm and length l=2m, wood density 670 kg/m³. I will connect 10 beams - what is the volume of the raft and its weight? How deep will a raft sink in water (water density 1000kg/m³)?
Car cargo weight
The weight of the car with cargo is 7610 kg. The car's weight represents 23% of the car's total weight with cargo. What is the weight of the cargo?
Dolphin Shark fish
Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch?
Ticket week sales
Two hundred sixteen tickets were sold in the first four days of the week. One-quarter of those tickets were sold on Monday, one-fifth more than on Tuesday. The same number of tickets were sold on Thursday as on Tuesday and Wednesday combined. How many wer
Square colored percentage
The square in the picture has a side length of 6 cm. What percentage of the area is the colored part?
Truck pile shifts
Four trucks will move the pile in 25 shifts. How many cars are needed to reduce the time by 2:5?
School plot modification
When modifying the school plot in the shape of a rectangle, the deviation was calculated if we increased the length and width of the plot by 1m and its area by 22 m². If we reduce the length of the plot by 2m and increase its width by 1m, its area will de
Car fuel distance
The car traveled a distance of 120 km in 1 hour 50 minutes. The first part of this track traveled at a speed of 50 km per hour, and the second part traveled at a speed of 75 km per hour. The 10 minutes the driver needed to fill the gas are included in the
Steel weight thread
A round steel weight (ρ1=7800 kg/m³) is suspended on a thread and immersed in water (ρ2=1000 kg/m³). The volume of the weight is 1dm³. With what force is the thread stretched?
Bank inflation saving
Let's assume that the interest in the bank is 10% and that we have saved €1000. 10% may seem like a good investment. However, if inflation is 6%, how much can we save in the bank in real terms? For the simplicity of the calculation, the income is not taxe
Sugar minicubes
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes?
Car acceleration distance
How far must a car travel to reach a speed of 72 km per hour if it starts from rest in a uniformly accelerated motion with an acceleration of 0.2 meters per second²?
Stone kinetic energy
What is the kinetic energy of a stone weighing 1 kg that falls in free fall 5 seconds from the start of its motion? g= 10m/s squared.
Sweater double discount
The sweater was discounted by 20% in a fashion store and subsequently by 10% of the discounted price. After the discount, it costs CZK 1,080. How much was the sweater originally?
Car braking force
What constant braking force is required to stop a car weighing 1 ton in 10 seconds traveling at 50 km/h?
Ladder wall height
A ladder is 7 meters long and is leaning against a wall so that its lower end is 4 meters away from the wall. Determine how high the ladder reaches

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