Maths practice for 14 year olds - page 83 of 378
Number of problems found: 7554
- 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. - Quarter of unknown number
If we subtract a quarter of a number from the number 12, we get the number -5. What's that number? - Digits - numbering
We used 1533 digits to number the rough book. How many pages does this book have if each page, including page 1, is numbered? - Cross-section 71254
The steel conductors of the long-distance power line have a cross-section of 5 cm². Calculate the resistance of a steel wire with a length of 2 km if the resistivity of the steel is 13 * 10-8 Ω · m.
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