Maths practice for 14 year olds - page 152 of 379
Number of problems found: 7575
- 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 30971
Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm.
- Calculate 30961
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm.
- Half-cylinder 30941
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 14m and 10m 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.
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