Length - practice for 13 year olds - page 29 of 67
Number of problems found: 1322
- Average height
There are twice as many girls in the class as there are boys. The average height of girls is 177 cm, boys 186 cm. What is the average height of students in this class? - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Tourist route
How long is the tourist route when tourists crossed four-sevenths of the way on foot, crossed the bus twice less than on foot, and passed the last 14 kilometers by boat? - Cone-shaped 23331
For his birthday, Jirka made a cone-shaped hat out of paper. The side of this cone is 35cm long, and the radius of its base is 20cm. How much dm of paper did Jirka use to make it? Thank you
- The right triangle
The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b. - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Kilometers 22721
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day? - Circumference 22503
The perimeter of the round bed is 36m. Find the length of the part of its circumference that belongs to the given center angles of 180° - The triangles
Two similar triangles, KLM and ABC, are given. Calculate the lengths of the remaining sides of the triangle KLM. If the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5
- Daughter's 22333
The daughter's step measures 50 cm, and the father's step measures 70 cm. The daughter counted 294 steps on the measured section. How many steps will her father take in the same section? - Substance 22323
We paid 99 euros for 8 meters of fabric. How much do we pay for 9.5 meters of the same substance? - Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m at the same time. - A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field? - Motorcyclist 22103
The distance from Olomouc to Brno is 77 km. At 4:00 PM, a passenger car left Olomouc for Brno at an average speed of 100 km/h. Half an hour later, a motorcyclist drove from Brno to Olomouc at an average speed of 80 km/h. What time do they meet?
- Oak trunk
Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³. - Length 21863
The steel wire (α = 11.5. 10-6 K-1) has a length of 100 m at -15 °C. Find its length at 45 °C. - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals. - Base of an isosceles triangle
Calculate the size of the base of an isosceles triangle, the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle?
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