Maths practice for 14 year olds - page 185 of 375

Number of problems found: 7499

Swing equilibrium calculation
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.
Dress price reduction
The dress costs 250 euros. Its price was reduced twice, first by 10% and then by 20%. What is the price of the dress?
Worker production calculation
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.
Cyclist pedestrian pursuit
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
Camp children calculation
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.
Roof paint consumption
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.
Cone surface volume
Calculate the surface and volume of a rotating cone whose base circumference is 125.6 cm and the side is 25 cm long.
Pyramid casting weight
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.
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.
Hexagonal pyramid
Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm.
Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the base's diagonal is 50 cm. Calculate the pyramid shell area.
Triangular pyramid
A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm.
Guppies for sale
Paul had a bowl of guppies for sale. Four customers were milling around the store. 1. Rod told Paul - I'll take half the guppies in the bowl, plus had a guppy. 2. Heather said - I'll take half of what you have plus half a guppy. Nancy, the third customer,
Nitrogen
One bag of urea containing 46 percent nitrogen weighs 25 kg. How many bags must be purchased for fertilizing a field of 41003 square meters if the nitrogen dose is 50.0 kg per hectare?
Two chords
Two parallel chords are drawn in a circle with a radius r = 26 cm. One chord has a length of t1 = 48 cm, and the second has a length of t2 = 20 cm, with the center lying between them. Calculate the distance between two chords.

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