Maths practice for 14 year olds - page 336 of 375
Number of problems found: 7492
- Internal angles IST
Determine internal angles of isosceles trapezium ABCD /a, c are the bases/ and if: alpha:gamma = 1:3 - 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. - The ship
The ship went at the upstream speed of 20 km/h in relation to water. The river flows at a speed of 10 km/h. After half an hour, he stopped and returned downstream to the starting point. How long does it take back when even if the downstream speed of the s - 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? - 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? - Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Axial section
The axial section of the cylinder has a diagonal 50 cm. The shell size and base surface are in the ratio 2:5. 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? - 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? - 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? - 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.
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