Maths practice for 12-year-olds - page 174 of 347
Number of problems found: 6923
- Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? - Speedboat ship pursuit
The ship set sail at 6 A.M. and traveled at a speed of 16 km per hour. At 8:30 A.M., a speedboat was sent behind her, traveling 24 miles per hour. When will the boat catch up? - Water reservoir
What is the mass of a metal cylinder-shaped reservoir with a diameter of 2 m and a length of 8 m, if 1 m² of sheet metal weighs 100 kg? - Midnight 2
It was 8 degrees at nightfall. The temperature dropped 10 degrees by midnight. What was the temperature at midnight? - 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 - The triangles
The triangles ABC and A'B'C 'are similar, with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35° and beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '. - 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.
- Weight
The kilogram weight has a volume of 116 ml. From which material is it probably made? Use substance density tables, e. G. mathematical-physical-chemical tables. - 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? - 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? - Aquarium water calculation
The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm? - Prism shelf space
The surface of the triangular prism is 157.2 dm². Its shell has an area of 126 dm². What space will it occupy on a shelf placed on a pedestal? - Commemorative coins
On the 200th anniversary of the birth of Ľudovít Štúr, the National Bank of Slovakia issued a commemorative two-euro coin in 2015, the diameter of which is 25.75 mm. The nickel-brass center is approximately 18 millimeters in diameter; the rest of the coin - 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. - Container paint cost
How many crowns will the paint cost to paint a cylindrical container (d = 4.2 m, h = 5.5 m) when about 5 m² of paint is painted from 1 kg of color, and 1 kg of paint costs 115 CZK? - Two ribbons
The total length of the two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon?
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