Math practice for 13 year olds - page 191 of 413
Number of problems found: 8260
- Cone volume surface
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm. - 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. - 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. - Calculate a prism
Calculate the volume and surface area of a prism whose height is 16 cm and whose base is a right triangle with sides of 5 cm and 12 cm and a hypotenuse of 13 cm. - Pool pump calculation
The pool for swimmers has dimensions of 25 m, 10 m, and 2.8 m, and the children's pool is only 10 m, 4 m, and 1 m. The pump will change all the water in the swimming pool in 9 hours. How long does it take for the same pump to pump out the water in the chi - 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? - Isosceles triangle
An isosceles triangle has an angle against the base that measures 55°. What is the size of the angle at the base of an isosceles triangle? (Calculation and procedure) - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm. - Six painters
Six painters paint an area of 120 m² in 4 hours. How long does it take for 12 painters to paint 480 m² with the same performance? - 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 - 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? - A cliff
A line from the top of a cliff to the ground passes just over the top of a pole 5 ft high. It meets the ground at a point 8 ft from the base of the pole. The point is 93 ft from the base of the cliff. How high is the cliff? - Sugar beet yield
Express the yield per hectare of sugar beet when you know that we can harvest 20 tons of sugar from 20 hectares of fields.
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