Math practice for 13 year olds - page 248 of 425
Number of problems found: 8482
- A metal
A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that - Must-have 7893
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter? - Cylinder pot
The cylinder-shaped pot has a bottom diameter of 28 cm and a height of 36 cm and is two-thirds full of tea. Will this tea be enough for 50 children if we serve it in full 3 dl glasses? - Cylindrical 7891
Is it possible to pour water from a full cube-shaped container measuring 8 cm, 10 cm, and 12 cm into a cylindrical container with a bottom diameter of 12 cm and a height of 8 cm? - Transport 7890
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²? - Foot area
Which animal will leave a deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square? - Embankment 7879
An embankment 7.5 m high should be built on the horizontal plane. The width of the upper surface of the embankment is 2.9 m, and the slope is 35 °. What will be the lower width of the embankment? - Two-fifths 7878
The cyclist drives a 240 km long route in 3 days. On the first day, go half of the entire route. The second day passed two-fifths of the rest of the way. What percentage of the cyclist completed the whole way on the third day? - Raspberry juice
The children from the scout troop went to a restaurant for refreshments after the trip, where each child ordered one of three drinks - raspberry juice, sparkling water, and kofola. A fifth of the children had raspberry juice, five children ordered sparkli - Pumps
After the floods, four equally powerful pumps exhausted water from the flooded cellar in 6 hours. How many hours would it take to drain out with three equally powerful pumps? - A mother
A mother is three times older than her daughter. 9 years ago, a mom was six times older than her daughter. How old are a mother and daughter now? - Round-trip
A woman works at a law firm in city A, about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 40 mph. - Wave parameters
Calculate the speed of a wave if the frequency is 336 Hz and the wavelength is 10 m. - The painter
For the painter to get the desired color, he must mix green and yellow in a ratio of 4:7. If it has 28 l of green color, how many liters of yellow should he add? How many liters of mixed color does he get? - Different 7860
How many different triplets can be created from 4 pupils if it does not matter the order of the pupils in the triplets? - Container 7859
I have 35% alcohol and want to make 1 liter of 1% solution. How much ml of alcohol should I put on the bottom of a one-liter container and pour water over it? - Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12cm CD=4cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD? - Tributaries 7857
Two hundred forty liters of water flow into the tank from 6 tributaries in 6 minutes. The wider one will flow 20 liters more in 9 minutes than the narrower one in 11 minutes. How many liters of water flow out of each inflow in 1 minute? - Hrebienok 7856 A tourist would cover the route from Skalnate Pleso to Hrebienok at a constant speed in 2 hours. His friend would walk the same route from Hrebienk to Skalnaté Pleso in 3 hours. When will they meet if they both go hiking at 9:00?
- Calculate 7854
The surface of the cube is 61.44 cm². Calculate its volume.
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