Maths practice for 14 year olds - page 158 of 361
Number of problems found: 7214
- Sphere parts, segment
A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. What are the volume and surface of the segment? - Invoice arrears interest
Mrs. Zdena took over the goods that were ordered, which were worth 5000€. She did not pay the invoice by the required date of 31.5.2019. Interest on arrears is 5.5% per annum. Calculate the payment as of 31.8.2019. - Cylinder sheet calculation
Calculate the area of sheet metal needed to make a closed cylindrical vessel with a radius of 2.5 m and a height of 1.2 m if the joints and waste count for 6%. - The volume
The volume of the sphere is 1 m³. What is its surface? - Larger perimeter
A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter? - Dentist
A doctor lifts a chair with a patient using a hydraulic device. The area of the smaller piston is 5 cm². The area of the larger piston is 200 cm². The mass of the chair is 30 kg, the mass of the patient 100 kg. Will the doctor lift the chair with the pati - 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? - Roof sheet calculation
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 - Number combination
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. - Fulfilment of an order
A textile company deployed 6 looms to fulfil an order. On these 6 looms together it is possible to weave the amount of cloth requested by the customer in 18 days. After 2 days, the company put 2 more looms into operation, which were also involved in fulfi - Tourist group pursuit
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. - Petrol consumption calculation
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?
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