Maths practice for 14 year olds - page 155 of 361
Number of problems found: 7217
- Quadrilateral pyramid
The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base - Cone side calculation
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Cone volume surface
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm. - Calculate cone The rotating cone has a base radius r = 226 mm, and the deviation of the side from the base plane is 56°. Calculate the height of the cone.
- From plasticine Michael modeled from plasticine a 15 cm high pyramid with a rectangular base, with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Jane modeled a rotating cone with a base diameter of 10 cm. How tall was Jane's cone?
- Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter of d = 20 cm; the second vase has the shape of a truncated cone with a lower base of d1 = 25 cm and a diameter of the upper base d2 = 15 cm. Which vase c - Electricity tariffs
To figure out the pricelists of energy companies is difficult for the ordinary person. One must be on guard e.g. when one moves and thus somewhere sharply reduces the consumption of electricity and somewhere else sharply raises the consumption of electric - Helena Jane savings
Helen had 20% more savings than Jane. They have saved 1804 CZK. How much have Helen and Jane held? - Pyramid height calculation
In a regular quadrilateral pyramid, the base edge a = 6 cm, and the side edge b = 10 cm. Calculate the height of the pyramid. - Cuboid diagonals
The cuboid has dimensions of 15, 20, and 40 cm. Calculate its volume and surface, the length of the body diagonal, and the lengths of all three wall diagonals. - Cube dimension calculation
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals. - Train distance calculation
Two trains left London bound for Brighton. One at 14:00 and the other at 14:20. One train moves at a speed of 120/km per hour. Kinds 150/km per hour. How far apart will they be at three o'clock? - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm. - Between two
There are regular flights between two airports 690 km apart. A plane leaves the first airport at 6:30 at an average speed 60 km/h greater than the second plane, which leaves the second airport at 7:00. The planes always pass each other at 9:00. What is th - Percentage calculation examples
Calculate these four examples as percentages: 5% of 650 meters 30% of 18 kg 351% if 9% is 1/3 62.5% if 15% is 0.75 - Rhombus diagonals
In the rhombus ABCD, the sizes of the diagonals e = 24 cm and f = 10 cm are given. Calculate the side length of the diamond and the size of the angles, and then calculate the area of the diamond. - Antenna mast
An antenna mast is 26 metres high. It is secured by four steel cables attached 1.6 metres below the highest point of the mast and anchored to the ground at the vertices of a square with a side length of 14 metres. The mast stands at the centre of this squ - Father daughter age
When the father was 31, the daughter was eight years old. Now, a father is twice as old as a daughter. How old is her daughter? - Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a. - Pond radius calculation
Mr. Mark wants to build a circular pond in his garden. He wishes the perimeter of the pond in meters and the area in square meters to be expressed in the same numbers. What is the radius of the pond?
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