Math practice for 13 year olds - page 198 of 413
Number of problems found: 8260
- Hexagonal pyramid
Find the area of a shell of the regular hexagonal pyramid if you know that its base edge is 5 cm long and the height of this pyramid is 10 cm. - Wooden block
A cuboid-shaped wooden block has a 6 cm length, 4 cm breadth, and 1 cm height. Two faces measuring 4 cm x 1 cm are colored in black. Two faces measuring 6 cm x 1 cm are colored in red. Two faces measuring 6 cm x 4 cm are colored in green. The block is div - Company car
Ms. Vankova has a company car equipped with a multifunction indicator to monitor the average petrol consumption during individual rides. During the first ride, mostly in city traffic, it traveled 20.5 km, with an average consumption of 7.8 L/100 km. In th - Sow barley
Farmers wanted to sow barley within 13 days. Due to the excellent weather, they exceeded the daily plan of sowing by 2 ha and, therefore, finished sowing grain in 12 days. How many hectares of land did they sow with barley? - Money age distribution
Mr. Smith wants to distribute CZK 1,600 among his grandchildren. They divide the amount according to their age. The two grandchildren are 15 years old. The remaining two are 12 and six years old. How many crowns will each of the boys receive? - Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm - Land scale drawing The land has a triangle shape with sides of 300 m, 200 m, and 245 m. Draw it on a scale of 1:5,000.
- Car truck pursuit
At 9:00 a.m., a truck left town A at an average speed of 50 km/h to town B, 290 km from town A. In 1 hour and 20 minutes, a car drove behind him at an average speed of 75 km/h. At what time and distance from city B will the passenger truck catch? - Deposit interest rate
After one year, a deposit of €500 grew to €512. At what annual interest rate? - Tank height calculation
The diameter of the bottom of the cylinder-shaped tank is 6 m. Its volume is 1500 m³. What is the height of the tank to about two decimal places? - Cone volume surface
The basic parameters of the rotating cone are: Base radius 5 cm The cone height is 12 cm, and the cone side is 13 cm. Calculate: a/volume of the cone b/cone surface - Tablecloth diameter calculation
The round tabletop has a capacity of 2.01 m². Calculate the diameter of the round tablecloth if it exceeds the table's edge by 25 cm. - Pyramid weight calculation
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - Balloon material calculation
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - Parallelogram
Find the parallelogram's perimeter, where base a = 8 cm, height v = 3 cm, and angle alpha = 35° is the magnitude of the angle at vertex A. - Edge of prism
The regular quadrilateral prism has a surface of 250 dm². Its shell has an area of 200 dm². Calculate its leading edge. - Angles - clock hands
Find the angle that the large hand makes with the small hand of the clock - the central angle at 12:30. Find the magnitude of the smaller angle (if possible). (Help: it's enough if you calculate how big an angle the hands make if they are 1 minute apart. - PIN code puzzle
My mother forgot the PIN code of her ATM card, which consisted of 4 different numbers. Help her put it together if she remembers: And - all the numbers were even B - zero in the pin code was not C - the first number was a multiple of the second number, wh - Truncated cone 6
Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1. - Construction of trapezoid
Construct a trapezoid if b = 4 cm, c = 7 cm, d = 4,5 cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction)
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