Math practice for 13 year olds - page 224 of 428
Number of problems found: 8556
- 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. - Magnitude of angle
What magnitude has an obtuse angle enclosed by the hands of clocks at 12:20 hours? - 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? - Container with water
The cube-shaped container is filled with water to half its height. If we add 20 liters of water, the company will fill the container to three-quarters of its height. What is the volume of the whole container? - 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? - Ball shot calculation
How many ball shots with diameters of 2 mm can be made of 1 kg of special metal alloy with a density of r = 7550 kg/m³? - 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. - Father and daughter
The father is 36 years old; the daughter is 20 years younger. What will be the ratio between them if they are ten years older? - Average speed
The average speed of a pedestrian who walked 10 km was 5km/h, and the average speed of a cyclist on the same track was 20km/h. In how many minutes did the route take more than a cyclist? Q - 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. - 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. - 3/8 off
The shirt costs 38.95. If it has a discount tag for 3/8 off, how much will you pay? Round to the nearest cent. - Rectangular base pyramid
The pyramid has a rectangular base of 2.8 m and 1.4 m and a height of 2.5 meters. Calculate an area of the shell of the pyramid. - Hexa pyramid
The base of the regular pyramid is a hexagon, which can be described as a circle with a radius of 2 m. Find the volume of the pyramid to be 2.5 m high. - Triangular prism
Calculate the surface of a triangular prism with the base of an equilateral triangle with a side length of 7.5 cm and a corresponding height of 6.5 cm. Prism height is 15cm.
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