Maths practice for 14 year olds - page 284 of 319
Number of problems found: 6374
- Drunk and alcohol
One drunk measured 2.7 ‰ of alcohol in the blood, another 1.75 ‰. How many grams of alcohol in the blood do they have if they had 6 kg of blood?
- Swing
A child weighing 12 kg is sitting on a swing at 130 cm from the rotation axis. How far away from the rotation (center) axis must he sit down? His mother weighs 57 kg if she wants to be swung in balance.
- Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl
- Iron fence
One field of iron fence consists of 20 iron rods with a square cross-section of 1.5 cm side and a long 1 meter. How much weight does a field have if the density of iron is 7800 kg/m³?
- 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.
- Tiles
How many square tiles with an area of 121 cm² must be ordered for the paving in the square room with a side length of 2.75 meters?
- 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.
- Axial section
The axial section of the cylinder has a diagonal 40 cm. The shell size and base surface are in the ratio 3:2. Calculate the volume and surface area of this cylinder.
- Neighborhood
I have 7 cups: 1 2 3 4 5 6 7. How many opportunities for standings cups are there if 1 and 2 are always neighborhood?
- 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.
- Pennies
Eight hundred pennies have the same value as 100 ducats. One hundred pennies have the same value as 250 tolars. How many ducats have the same value as 100 tolars?
- 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?
- The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many full liters of water can be poured maximally into the container?
- 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?
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