Maths practice for 14 year olds - page 149 of 370

Number of problems found: 7400

Ten persons
Ten persons, each person, make a hand to each person. How many hands were given?
Savings 31311
Petr spent a fifth of his savings on a compact disc and 25% on a book on nature. He has 550 CZK left. How many crowns did Petr save?
Kilograms 31301
From two types of tea for 160 CZK per 1 kg and 220 CZK per kilogram, 20 kilograms of the mixture for 205 CZK per kilogram will be prepared. How many kilograms of each type of tea need to be mixed?
Mixture of coffee
They have to prepare a coffee mixture in packing centers, so 1 kg costs 240 CZK. Two types of coffee are in stock at the prices of 220 CZK per 1 kg and 300 CZK per 1 kg. How many kilograms of each species need to be mixed to prepare 50 kg of the required
The bulb
ON the bulb we a reading of 6V and 0.05 A. What current flows through the bulb if we connect it to a cell with a voltage of 12V?
Connected 31261
A stove with a current of 4.0A is connected to the 220V voltage. The current has been reduced to 2.4A due to a fault in the network. How much has the voltage in the socket dropped?
Isosceles triangle
Calculate the area of an isosceles triangle, the base measuring 16 cm and the arms 10 cm.
Refractive index
The light passes through the interface between air and glass with a refractive index of 1.5. Find: (a) the angle of refraction if light strikes the interface from the air at an angle of 40°. (b) the angle of refraction when light hits the glass interface
Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume.
Probability 31101
There are 16 balls in the box, of which seven are white, and nine are blue. We randomly select two balls. What probability will there be exactly two white balls among the selected ones?
Study results
Seven students in the class have excellent results, six praiseworthy, five good, four sufficient, and three insufficient students. What is the probability that it will be a good student when summoned?
Ace or king
What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards?
Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³.
Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm².
Calculate
Calculate the cone's surface and volume from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee.
Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm³, and its height is 120 cm. What is the surface area of the cone?
Rotating cone
If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume.
Calculate the cone
The volume of the cone is 461.58 cm³. Its diameter is 14 cm. Calculate the surface area of this cone.
Cone - side
If the cone's height is 125 mm and its side length is 17 cm, find its surface area and volume.
Calculate 30961
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm.

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