Maths practice for 14 year olds - page 132 of 361
Number of problems found: 7217
- Cathedral roof sphere
Cathedral height is 110 m, sphere weight 6000 kg, dome diameter 43 m, crane arm length 25 m a) what was the diameter of this sphere? b) how much mechanical work had to be done to lift it to the designated place? - Transmission of electricity
The electric field performs work 1610 J in the transmission of electric charge of 7 Coulombs between the heating coil terminals. Calculate the voltage between the terminals. - Milk cream
How many percent of whipped cream do we make if we mix 41 liters of 38.8% whipped cream and 9 liters of 3.8% milk? (Percent means a percentage of milk fat). - Exam average
Jane has to pass ten exams in a year. So far, she has made six and has an average of 2.5. What average must she reach from the remaining tests for her overall average for the year to be 2? - Heat transfer
We placed a lead object weighing 0.4 kg and 250 °C in 0.4 L water. What was the initial temperature of water t2 if the object's temperature and the water after reaching equilibrium was 35 °C? We assume that the heat exchange occurred only between the lead - Number summand division
Express 68 as the sum of two different positive integers. If you divide the larger by the smaller, do you get exactly 3? - Fertilizer
I have 4 liters of 10% fertilizer. How much water must I add to have a 2% solution? - Pyramid surface height
The regular quadrilateral pyramid has a volume of 212 m³ and a base edge a = 7.2 m. Calculate the surface area and height of the pyramid. - Pyramid plasticine The base of the needle is a rectangle with dimensions of 20 cm and 10 cm, its height is 15 cm. Will the plasticine we needed to model this pyramid be enough to model two pyramids with a square base of 10 x 10 cm and a height of 15 cm?
- Cone surface volume
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm. - Dress discount price
The dress initially cost € 30 and was 20% cheaper on sale. What is the new price of the dress? The latest price is: - Tower roof
The tower's roof is a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover it? - Tower's view
From the church tower's view at 65 m, the top of the house can be seen at a depth angle of alpha = 45° and its bottom at a depth angle of beta = 58°. Calculate the house's height and its distance from the church. - Aircraft
From the aircraft flying at an altitude of 500 m, they observed places A and B (at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B? - Acid mixture
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid? - A semi-circular
A semi-circular fishbowl is filled with water and has a diameter of 10 feet. What is the total water weight to the nearest pound in the tank if water weighs 62.5 pounds per cubic foot? - Carpenter chair
Eight carpenters will make 30 chairs in 2 days. In how many days will ten carpenters make 72 chairs? - Plan scale
On mill paper, the dimensions are 11 * 7.5 mm, and the external dimensions of the sauna are 4.4 * 3 m. On what scale is the plan drawn on graph paper? - Iodine solution preparation
Calculate how many grams of iodine and ethanol are needed to prepare 200 grams of 6% iodine in ethanol solution. - Measurement - the laboratory
Laboratory measurements determined the following roller lengths (in millimeters): {402; 410; 412; 410; 413; 418; 405; 409; 410; 409} Calculate arithmetic, geometric mean, mode, and median.
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