Maths practice for 14 year olds - page 128 of 361
Number of problems found: 7217
- Cross-section - trapezoid
The cross-section of the channel has the shape of a trapezoid. The bottom width is 2.25 m, and the depth is 5 m. The walls have a slope of 68°12' and 73°45'. Calculate the upper channel width. - Hexagonal pyramid tank
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm. - 3 shirts
Three shirts for $35 Two hats and a shirt for $20 Which system of equations can be used to find s, the cost of one, and h, the cost of one hat? - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Triangular pyramid
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume. - Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism. - The carpenters
The carpenters cut the beam. Half of the cut pieces were 1 meter long, a quarter of the pieces were two meters long, and they cut the remaining 8 meters of the beam into two equal parts. - What was the length of the original beam? - What part of the origi - Vineyard spraying time
They have 3 sprayers for the chemical treatment of the vines. The first would spray the vineyard in 12 hours, the second in 15 hours, and the third in 10 hours. How long would it take to spray the vineyard with all the sprayers combined? - Price reduction percentage
By what percentage was the product's price reduced, when before the price reduction, it cost CZK 5,200 and after the price reduction CZK 3,640? - Parking lot vehicles
Three hundred and fifty-four cars arrived at a car park in the morning. The number of passenger cars was 5 times the number of vans. How many cars and vans came to the car park? - Latent heat
How much heat is needed to take from 100 g of water at 20 °C to cool to the ice at -18 °C? Mass heat capacity c (ice) = 21 kJ/kg/°C; c (water) = 4.19 KJ/kg/°C and the mass group heat of solidification of water is l = 334 kJ/kg - Number series continuation
Continuation of the number series 9,12,18,27 - Cube volume increase
The edge of an 8 cm cube is increased by 20%. By how much does the volume increase compared to the original cube? - Tetrahedron surface area
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm. - Calculate
Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24 cm and the arms have a length b = 13 cm. - Pyramid volume surface Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27 m3
- Larger sphere
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³. - Deadline
Five equally skilled masons built half the wall in 14 days. They must build the remaining part in 6 days to catch the planned deadline. How many more masons need to be allocated for construction? - Permutation exclusion problem
I want to find the number of permutations of the set M6 if not one element is in that position as in the original input (1 2 3 4 5 6). So I have to exclude numbers with 1 in 1st place, 2 in 2nd place, and 3 in 3rd place. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm.
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