Maths practice for 14 year olds - page 160 of 362
Number of problems found: 7228
- Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Quadrilateral pyramid
We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base area 2/casing area 3/pyramid surface 4/volume of the pyramid - Slovakia trip
The Anderson family traveled by car for 3 days in Slovakia. On the first day, they covered twice as many kilometers as on the second day, and on the third day, they covered 50 kilometers more than on the second day. They drove a total of 700 kilometers in - Brother age calculation
The two brothers are 41 years old. One is seven years older than the other. How old is your younger brother? - Calculator price calculation
Peter bought a calculator. He saved three-quarters of its price himself, and half of the remaining amount was given to him by his grandfather. He still lacked 7 euros, which he borrowed from his brother. How much did the calculator cost? - Skis
Skis, which cost € 800, became 25% more expensive before the season. After the season, they became cheaper again by 25%. How many euros did the skis cost after the discount? - Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Two teas
The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed? - Probability
A man had 4 coins, some worth $2 and some worth $1. Each coin had a number on one side and a picture on the other. The man flipped them, and the sum of the numbers showing on top was 1. The probability of this happening was 1/8. What was the probability t - Quadrilateral pyramid
A quadrilateral pyramid has a rectangular base with 24 cm and 13 cm dimensions. The height of the pyramid is 18 cm. Calculate: 1/the area of the base 2/casing area 3/pyramid surface 4/volume of the pyramid - Roof material calculation
How much sheet is needed for a roof with the shape of a regular quadrilateral pyramid if its edge is 2.8 m long and the height of the roof is 0.8 m? Calculate 10% for the overlap (extra). - Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m. - Ball color probability
There are ten red, six blue, and eight green balls in the hat. What is the probability that a randomly selected ball is blue or red? - Quadrilateral pyramid
The height of a regular quadrilateral pyramid is 6.5 cm, and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body—round calculations to 1 decimal place. - Hexagonal prism calculation
Calculate the volume and surface of a regular hexagonal prism with a base edge a = 30 m and a side edge b = 50 m. - Diagonal BD
Find the length of the diagonal BD in a rectangular trapezoid ABCD with a right angle at vertex A when/AD / = 8,1 cm and the angle DBA is 42° - Inclined plane
The body stays on an inclined plane and exerts a compressive force of 70 N on it. Find the angle between the inclined plane and the horizontal if a gravitational force of 100 N acts on the body. - Part-time workers Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second, and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received.
- Reservoir volume calculation
The three water reservoirs hold a total of 130 liters. Determine their volumes in m³. If the first fits 15 liters less than the second and 20 liters less than the third.
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