Math practice for 13 year olds - page 125 of 414
Number of problems found: 8262
- Tournament sophomore percentage
Forty-eight high school students took part in the chess tournament. The number of first-graders, sophomores, and third-graders is 3:8:5. Calculate what percentage of sophomores participated in the game. - Backpack pocket price
Barbara chose a backpack for school that was three times more expensive than a shoe bag. If the backpack were 30 euros cheaper, it would cost the same as a shoe bag. How many euros did a backpack cost? - Katy ski price
Aunt and uncle bought Katy's skis together. They were 3:2 for the entire price of the skis. Uncle contributed 60 euros. How many euros did Katy's skis cost? - Triangle area grid
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places. - Four-digit number digits
Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created. - 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?
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