Maths practice for 14 year olds - page 321 of 369
Number of problems found: 7369
- 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?
- 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
- 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.
- 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?
- Surface area 2
Calculate how many % reduce the surface area of the cube is reduced the length of each edge by 10%.
- Bus and Milan
The bus started from the village at a speed of 60 km/h. After one kilometer, Milan went on a motorcycle with his grandmother to the bus stop. When they found the bus had driven away, he tried to catch it. At the next stop, at a distance of 3 km, he caught
- Stairway
The stairway has 20 steps. Each step is 22 cm long and 15 cm high. Calculate the length of the handrail of staircases if the top and bottom exceed 10 cm.
- Four ropes
Four ropes anchor the TV transmitter at a height of 44 meters. Each rope is attached 55 meters from the heel of the TV transmitter. Calculate the number of meters of rope used to construct the transmitter. When each attachment is needed, add an extra 1/2-
- Rectangle and diagonal
In the rectangle ABCD, we know the side length is AB = 16 cm, and the diagonal AC = 20 cm. Calculate its perimeter and area.
- The double ladder
The double ladder has three meters-long shoulders. What is the height of the upper ladder reach if the lower ends are 1.8 meters apart?
- Savings 2411
How many euros does Karol save if 7% of his savings is 70 euros?
- Central park in city
The city park has the shape of a rectangle of 180 meters in length and 120 meters in width. People make their walk through the center of the park from one corner to the second. Calculate how many meters this way is shorter than walking along the path arou
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