Maths practice for 14 year olds - page 157 of 362
Number of problems found: 7228
- The bulb
ON the bulb we a reading of 6 V and 0.05 A. What current flows through the bulb if we connect it to a cell with a voltage of 12 V? - Stove voltage drop
A stove with a current of 4.0 A is connected to the 220 V voltage. The current has been reduced to 2.4 A 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. - Ball selection probability
There are 16 balls in a box: 7 white and 9 blue. Two balls are drawn at random. What is the probability that both selected balls are white? - 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.
- Cone - side
If the cone's height is 125 mm and its side length is 17 cm, find its surface area and volume. - Cone surface volume Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm.
- Cone surface volume
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm. - Gutter metal calculation
Gutters have the shape of a half-cylinder. Their diameter is 20 cm, and the total length around the roof is 35 m. How much is sheet metal needed to make them? Add 15% to the connections. - There 3
There are six bays at an oil change shop. It takes 45 minutes to work on a car at each bay. Cars are coming every 6 minutes to the shop for an oil change. How long before cars start backing up? What kind of spacing is needed to maintain proper flow? - The intersection of the diagonals
In the rectangular coordinate system, a rectangle ABCD is drawn. These coordinates determine the vertices of the rectangle: A = (2.2) B = (8.2) C = (8.6) D = (2.6) Find the coordinates of the intersection of the diagonals of the ABCD rectangle. - Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14 m and 10 m long. The sidewalls form an angle of 135° with a smaller base. Find how many m³ of soil were excavated when digging the pit. - 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm. - Octagonal prism vase
A total of 0.7 litres of water can be poured into an octagonal prism vase. The vase has a base area of 25 cm² and a wall thickness of 12 mm. What is the height of the vase?
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