Math practice for 13 year olds - page 125 of 413
Number of problems found: 8253
- Triangular prism volume
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm. - Container salt edge
The cube-shaped container can hold precisely 8 cm³ of bath salt. How many cm³ of bath salt will fit in a cube-shaped container with an edge twice as long? - Jana Petra windows
Jane can wash 20 windows alone in 4 hours. Petra can do the same job in 6 hours. How long will it take them working together? - Bricklayer student wall
A bricklayer can repair a wall by himself in 30 minutes. His students would take an hour. How long will it take them working together? - Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°? - Chord distance length
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Object collection order
In the computer game, you need to collect 5 objects in the room: a sword, a ring, a picture, a key, and a coin. It depends on the order in which we collect the individual objects. If the order is wrong, we will lose a life. How many are all in order? - Prism square base
The prism has a square base with an edge 5 cm long and 20 cm high. Calculate it: (a) the area of the base b) the perimeter of the base c) volume d) surface - Bratislava BA-BB
A truck drove from Bratislava to Banská Bystrica at a speed of 30 km/h. At the same time, a tractor drove at a speed of 40 km/h. The tractor arrived in Banská Bystrica 1 hour and 45 minutes earlier than the truck. What is the distance between the cities? - Milan Sara age
Milo, Sara's husband, is four years older and twice as old as she was 17 years ago. How old are they? - Friends iron average
Five friends compared how much scrap iron they brought to the collection. The average was 55 kg, but John brought only 43 kg. What was the average in kg without John?
- Stick shadow angle
The meter stick is located on the meridian plane and deviated from the horizontal plane to the north by an angle of magnitude 70°. Calculate the length of the shadow cast by a meter stick at true noon if the Sun culminates at an angle of 41°03'. - Children room plan
An architect has two plans for the same apartment at different scales. On the first plan, at a scale of 1:20, the length of the children's room is 20 cm. What is the children's room size on the second plan, on a scale of 1:50? - The triangle - sides
The two sides of the triangle have side lengths a = 6 cm and b = 13 cm. Then the following applies to the length of the third side c: (A) 7 - Square diagonal angle
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle? - Trapezoid angle beta
The figure shows an isosceles trapezoid CDEF. The size of the angle α is 73 degrees. Calculate the magnitude of the angle β in degrees. - Ticket divisible probability
Petra wrote the natural numbers from 1 to 20 on 20 tickets. Millie pulls out one ticket. What is the probability that she pulls out a ticket with a number divisible by three? - Probability
Zuzana has 5 playlists with different music styles on her mobile phone. The table shows their names and the number of songs they contain. Fill in the missing number so that a rock song plays first with a probability of 21% when the shuffle function is use - Cone surface radius
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface. - Sphere cut area
We cut a sphere with a diameter of 10 dm into two equal parts. Calculate the area of the cut.
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