Math practice for 13 year olds - page 383 of 423
Number of problems found: 8441
- Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75%, the length of the second leg, and its area is 24 cm².
- Dining room
The dining room has 11 tables (six and eight seats). In total, there are 78 seats in the dining room. How many are six-and eight-seat tables?
- Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface?
- Cuboid
Find the cuboid that has the same surface area as the volume.
- Round table tablecloth
The round table has an area of 50.24 dm². Calculate the circular tablecloth diameter if it extends beyond the table's edge by 30 cm.
- Tiler
On what surface must the m² tiler lay 30 square tiles, each of which has a side 25 cm?
- High wall
I have a wall 2m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be?
- Square garden
The plan with a scale of 1:1500 is drawn as a square garden with an area 81 cm². How many meters is the garden fence long? Determine the actual acreage gardens.
- Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm².
- Tiles
The room has dimensions of 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover the room's floor.
- Father and son
The father is three times older than his son. Twelve years ago, the father was nine times more senior than the son. How old are father and son?
- Antennas
If you give me two antennas, it will be the same. If you give me again your two antennas, I have 5× so many more than you. How many antennas have both men?
- 9.A
Class 9A has more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, and the ninth to mark 3. No one gets a mark of 4. How many students of class 9A wrote a test to mark 5?
- Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin.
- Passenger car
A passenger car covers 1 km in 2/3 minutes, and a truck in 50 seconds longer. How much slower is the speed of the truck?
- Expressions
Expression (3a-7).(3a+7) is identical with: ...
- Right triangle
Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC.
- Clocks
How long does the track travel the second hand of a clock in 30 hours, which is 4 cm long?
- A family
A family of four pays for garbage collection per the year 1800 CZK. How many CZK (Czech crowns) a year does the waste company get from the house where live 93 people live?
- Three digits number 2
Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one position is one of the numbers 1,3,4, on the place of hundreds 4 or 2.
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