Maths practice for 14 year olds - page 324 of 379
Number of problems found: 7575
- Truck and car
At 6h45min, the truck started at a speed of 36 km/h. At 7h30m behind it, a passenger car. Find the passenger car's average speed to catch the truck 72 km away from the factory. - Electronics 2476
The electronics store offers a TV with a diagonal screen of 33 inches; the screen's height (without borders) is 44 cm. How wide is the TV if the edge on each side of the screen is 1.1 cm? - 3s prism
A regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm is given. Calculate the prism's volume. - Trapezoid IV
In a trapezoid ABCD (AB||CD) is |AB| = 15cm |CD| = 7 cm, |AC| = 12 cm, AC is perpendicular to BC. What area has a trapezoid ABCD? - Increased 2472
The price of skis increased twice from May to December, always by 20%. In December, the skis cost 1440 SKK. What was the original price in May? - Candies - splitting
Danka and Janka split a pack of candies in a ratio of 5:7. Jana received four more candies than Danka. How many candies were in the package? - Simultaneously 2468
Hiker A travels a certain distance in 5 hours and 24 minutes. Hiker B travels the same distance in 6 hours and 45 minutes. After what walking time will they meet if they simultaneously start opposite each other on the same route? (To the route that everyo
- Two aircraft
Two planes fly to the airport. At some point, the first airplane is away from the airport by 98 km and the second by 138 km. The first aircraft flies at an average speed of 420 km/h, and the second average speed is 360 km/h, while the tracks of both plane - Three monks
Three medieval monks have the task of copying 600 pages of the Bible. One rewrites in three days, 1 page, the second in 2 days, three pages, and a third in 4 days, two sides. Calculate for how many days and what day the monks will have copied the whole Bi - Savings 2
Jozef and Michael saved 46 euros together. Michael saved 22 euros more than Jozef. How much did they save each of them? - Sprinter
Sprinter runs the relay 4 x 400 m to the handover at a 42 km/h speed. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at a distance of 10 m. Calculate the speed at which the second runner must run to t - Cork and swimming
If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050 kg/m3, and the cork is 300 kg/m³. (Instructions: Let the human body and cork on a mixture with a density of - Performances 2459
Three part-timers received a total of 2,800 Euros for their work. They divided them according to their performances so that the first got 2/5 less than the second and the third got 50 Euros more than the first. How many crowns did the third one get? - Is right?
Determine whether the triangle with legs (catheti) 19.5 cm and 26 cm and the length of the hypotenuse 32.5 cm is rectangular. - Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo
- Isosceles trapezoid
Calculate the circumference and area of the isosceles trapezoid if you know the bases' sizes are 8 and 12 cm and the arms' sizes are 5 cm. - Construction 2449
The construction material was taken away by three different large cars. The weight of the load on the second was 20% more than on the first. The weight on the third was 20% more than on the second. They loaded a total of 18.2 tons. How many tons were on e - Minutes 2446
The water tank is filled with the first inflow in 1 hour 20 minutes, the second in 60 minutes. How many minutes will the tank be half full with both inlets if the other inlet is opened 12 minutes later? - The dam
The water reservoir is filled with the first tributary for 25 hours and the second tributary for 35 hours. Sometimes, both inlets open, then a second tributary closed, and they filled the tank in four hours. What time does water flow from both tributaries - Truncated pyramid
How many cubic meters is the volume of a regular four-sided truncated pyramid with edges of one meter and 60 cm and a high of 250 mm?
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