Maths practice for 14 year olds - page 151 of 370
Number of problems found: 7400
- Straight road
The straight road has a rise of 19%. How big is the pitch angle? - Body diagonal
Find the length of the body diagonal of a cuboid with edges lengths of 16 cm, 7 cm, and 4 cm. - Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if its surface is 576 cm² and the base edge is 16 cm? - Pyramid-shaped 30191
Above the pavilion, with a square floor plan with side a = 12 m, is a pyramid-shaped roof with a height of 4.5 m. How many m² of sheet metal is needed to cover this roof? - Regular quadrilateral pyramid What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm?
- Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm. - Construct diagonals
The point B is a vertex of rectangle ABCD. The diagonal BD of this rectangle lies on the line p. Point X is an interior point of side AD of rectangle ABCD, and point Y is an internal point of side CD. Construct the missing vertices D, A, and C of the rect - Non-repeating 30101
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25 - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Kilometers 30021
The first group of tourists left the hut at 8:00 AM at a speed of 4 km/h. The second group of tourists followed them half an hour later at a speed of 6 km/h. How long and how many kilometers from the cottage will it catch up with the first group? - Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - Consumption 29991
What kind of petrol consumption in liters of 100 km did the car have when driving in the city if it consumed 34 liters of petrol and drove 388 km? - Calculation 29971
Cylinder height and radius calculation The rectangle ABCD | AB | is given = 8 cm, and | BC | = 4 cm. Determine the height and radius of the cylinder created by rotating the rectangle around the line AB. - Block-shaped 29941
Please calculate according to Pascal's law. Kerosene in a block-shaped metal tank reaches a height of 180 cm. Calculate the force acting on the bottom with dimensions of 1.5m and 3m if the density of kerosene is 820kg per M3. - Pascal's law
Please calculate according to Pascal's law. Krupp's machines were known for their large size. In 1861, the inventor put a blacksmith's steam hydraulic press into operation in Essen. What was the cross-sectional area of the larger piston if a compressive f - Calculations 29911
Calculations according to Pascal's law. A boiler with an internal wall area of 3.4 m² will be tested at a pressure of 0.9 MPa. Calculate the total compressive force acting on the boiler walls. - Magnitude 29891
The triangle ABC is the magnitude of the inner angle α 12 ° smaller than the angle β, and the angle γ is four times larger than the angle α. What size are these interior angles in the triangle? - Connecting 29841 There is a horizontal distance of 9 km between two cities on the Croatian coast. The road connecting these two cities has a climb of 13 permille. What is the height difference between Croatian cities?
- Father and son
When I was eight years old, my father was 30 years old. Today, my father is three times more than me. How old am I?
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