Maths practice for 14 year olds - page 83 of 379
Number of problems found: 7567
- The circumference 3
The circumference of a cylindrical water tank is 62.8m. When it is 4/5 full of water, it holds 125.6 hectoliters. Find the depth of the tank. - POHLEDOVKA 71894
Mr. Kabat did not pay the bank debt of 10,000 euros. His debt was bought from the bank by POHLEDOVKA for 5,000 euros. What did the company POHLEDOVKA gain from this, and what did the bank gain from it? - The airplane
The airplane sights a runway at an angle of depression of 23°. It is flying at an altitude of 3 kilometers above the ground. What is the horizontal distance of the airplane from the airport? - Construction 71794
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Probability 71784
What is the probability that if you roll the die twice, the sum of 12 will fall? - An angle of depression
The lighthouse sees a ship at an angle of depression of 25°. The observer from the lighthouse is 82 m above sea level. How far is the ship from the top of the lighthouse? - Calculate 71764
The angle at the base of an isosceles triangle is 18 ° larger than the angle at the central vertex. Calculate the size of the interior angles.
- Kilograms 71754
In the fruit warehouse, they have white grapes for CZK 70 per kilogram and blue grapes for CZK 90 per kilogram. For the retail chain, 600 kg of a mixture of both types must be prepared so that one kilogram of the mixture costs CZK 85. How many kilograms o - An isosceles trapezoid
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area. - Water - heat
Calculate the mass of water that gave off 520.5 kJ of heat when cooled from 69°C to 27°C. - The temperature 30
The temperature in Hubby's office is 16 degrees Celsius, and the temperature outside his office is negative 7 degrees Celsius. What is the difference in temperature in these two places? - At 5:00
At 5:00 AM, the room temperature was 20°C. After six hours, the reading was 28°C. The temperature rose to how many degrees? What was the average change in temperature per hour? - Measurements 71584
On the plan, the rectangular factory hall has dimensions of 30 cm and 16 cm at a scale of 1:500. Calculate the actual measurements. - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Shadows
At the park, a young woman who is 1.72 meters tall casts a 3.5 meters shadow at a certain hour. What is the height of a tree in the park that, at the same time, casts a 12.3 meters shadow?
- Tower roof
The tower's roof is a regular 4-sided pyramid with a height of 4m and an edge of the base of 6m. 25% of the roof covering was found to be damaged. How many square meters of coverage are needed to repair the roof? - Originally 71464
The father originally wanted to divide the financial amount between his sons in the ratio of 7:6. However, he then split it at 6:5 (in the same order). One of the sons got angry that he should have received 120 euros more. How many euros did each son rece - Cube-shaped 71414
Mother and daughter Susan are wrapping presents for father. Maťko has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Zuzka has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in - Base diameter
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Circumference 71304
The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4:6:5. Determine the lengths of its sides.
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