Maths practice for 14 year olds - page 183 of 371

Number of problems found: 7406

Mixture 15903
How many kg of red candies at the price of CZK 65 per 1 kg must be added to 5 kg of blue sweets at the cost of CZK 140 per 1 kg when the price of the mixture should be CZK 120 per 1 kg?
Hiking trail
The newly built hiking trail leads 25% through the field, 3/8 of the trail leads through the forest, and the remaining 9 km along the river. How long is the train?
Theoretically 15883
Pictured is a pie chart showing how the four mayoral candidates are doing after 80% of the vote has been counted. A candidate ID no can theoretically obtain the maximum percentage of votes. 3 after counting all the votes?
Seconds 15853
The body landed on Earth in 9 seconds. Find from what height it fell and what its speed was on impact.
Warehouse 15843
They sold coal in a coal warehouse for three days. On the first day, they sold a quarter of the coal, 2/3 of the rest on the second day, and the remaining 300 tons of coal on the third day. How many tons of coal did they sell the next day?
Equilibrium 15833
Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium? How can this be calculated with a single equation? And calculate the rest.
Reduced 15813
The dress costs 250 euros. Its price was reduced twice, first by 10% and then by 20%. What is the price of the dress?
Components 15751
Two workers produce 138 parts in one shift. At the same time, the first of them produces 30% more than the second. How many components will each have? I need a notation and an equation.
Pedestrian 15741
Cities A and B are 42 km apart. A pedestrian exits city A at a speed of 6 km/h in the opposite direction to city B. 30 minutes later, and a cyclist exits B following the pedestrian at a speed of 24 km/h. How many hours does the cyclist reach the pedestria
Children 15723
There were children in the camp. 2/3 of the children went on a trip, 1/7 went swimming, and X went to the gym. How many children were in the camp?
Angle of cone
The cone has a base diameter of 1.5 m. The angle at the central apex of the axial section is 86°. Calculate the volume of the cone.
Consumption 15663
The cone-shaped sheet metal roof has a base diameter of 80 cm and a height of 60 cm. If 1 kg of paint is consumed per 6 m² of sheet metal, calculate the paint consumption for painting this roof.
Circumference 15653
Calculate the surface and volume of a rotating cone whose base circumference is 125.6 cm and the side is 25 cm long.
Pyramid-shaped 15643
The regular quadrilateral pyramid-shaped casting, with a base edge 60 cm in length and 5 cm in height, is made of a material density of 7.8 g / cm 3. Calculate its weight.
Top of the tower
The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m. The pyramid height is 1.6 m. How many square meters of sheet metal are needed to cover the top of the tower if 15% extra sheet metal is needed for join
The pyramid 4s
The pyramid with a rectangular base measuring 6 dm and 8 dm has a side edge of a length of 13 dm. Calculate the surface area and volume of this pyramid.
Four-sided turret
The turret has the shape of a regular four-sided pyramid with a base edge 0.8 m long. The height of the turret is 1.2 m. How many square meters are needed to cover it, counting the extra 10% sheet metal waste?
Water current
John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo
Storm and roof
The roof of the building is a cone with a height of 3 meters and a radius equal to half the height of the roof. How many m² of the roof need to be repaired if 20% were damaged in a storm?
The bus stop
The bus stop waiting room has the shape of a regular quadrilateral pyramid 4 m high with a 5 m base edge. Calculate how much m² roofing is required to cover the sheathing of three walls, taking 40% of the additional coverage.

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