Math practice for 13 year olds - page 279 of 413
Number of problems found: 8260
- Cylinder in Cone Volume
A cylinder with a height equal to half the height of the cone is inscribed in the rotating cone. Find the volume ratio of both bodies. - A residential
A residential colony has a population of 5400, and 60 liters of water is required per person per day. The effective utilization of rainwater constructed a water reservoir measuring 48m × 27m × 25m to collect the rainwater. For how many days is the water i - Two discounts
The MP4 player cost 960 CZK, and the price was twice gradually reduced in the ratio of 4:3:3/2. How much did the player cost after the second discount? - Square measurements
Find the area and perimeter of a square whose diagonal is 10 cm. - Equilateral triangle
Calculate the area of an equilateral triangle with a perimeter of 72 cm. - Cyclist and Motorcyclist Time
The cyclist covered a certain distance in 6 hours and 15 minutes. How long will it take for a motorcyclist to travel five times more if he travels three times faster? - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - Pyramid Height Volume Area
What is the tent's height in the shape of a regular quadrilateral pyramid, whose volume is three dm³ and the base has an area of 6 dm²? - 12 apples
Twelve apples and two loaves of bread cost 5.76, and 6 apples and three loaves of bread cost 7.68. How much is a loaf of bread? - Drawing Gym to Scale
The gym at the school is 12 m wide and 1800 cm long. Draw it on a scale of 1:500 - Surface of cubes
Peter molded a cuboid of 2 cm, 4 cm, and 9 cm of plasticine. Then, the plasticine was split into two parts in a ratio of 1:8. From each piece, a cube was made. In what ratio are the surfaces of these cubes? - The well
The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters, and the water depth in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water are in the well? - Balls Two Colors Ratio
Peter chose balls of two colors. The numbers of yellows and reds were in the ratio of 7:5, and the yellows were six more. How many did he have? - Kilometers Driven Increase
In 2016, we drove 52893.9 km, and in 2017, we drove 64035.4 km. By how many kilometers did they increase? - Pool tiles
The pool is 25 m long, 10 m wide, and 160 cm deep. How many m² of tiles will be needed on the walls and the bottom of the pool? How many tiles are needed when one tile has a square shape with a 20 cm side? How much does it cost when 1 m² of tiles costs 25 - Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable? - Pyramid Volume Trapezoid Base
Calculate the volume of a 1.3 dm high pyramid with a trapezoidal base. The bases are 2.3 dm and 1.6 dm long, and the pyramid's height is 1.8 dm. - Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus. - Cube - surface and volume How many times does the volume of a cube increase if its surface increases four times?
- Two brothers
Two brothers want to collect 20 kg of chestnuts. If only Mark collected, he would make it in 30 minutes. It would take Milo 10 minutes longer. How long after Mark does Milo have to start collecting to be finished in 18 minutes?
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