Maths practice for 14 year olds - page 297 of 314
Number of problems found: 6272
- Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2?
- Ace
We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace?
- MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. How many possible combinations are there?
- Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³.
- Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°?
- N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm?
- n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
- Cone
Calculate the volume and surface area of the cone with a diameter of the base d=16 cm and the side of the cone with the base has angle 37°12'.
- Block
Calculate the volume of a cuboid ABCDEFGH if |AB| = 7 cm, |BC| = 8 cm and the angle ∠CDG = 30.1°
- Diagonal
The diagonal of the rectangle has a length of 41.4 cm. The angle between the diagonal and longer side of the rectangle is 26°. Calculate the area of the rectangle.
- Saving
Gejza save € 1470 to buy a car. Yet it lacks save 45% of the car price. How much is the car?
- Pharmacy
At the pharmacy are in one container 20% solution in the second 50% solution of disinfectant. They need to prepare 4 L of the 48-percent solution. What amount of solution from each container is needed to mix?
- Enrollment
The enrollment at a local college increased 8% from 9339 over last year. Find the increase in enrollment (x1) and the current enrollment (x2).
- Arm
Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
- Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
- Similarity
Rectangle ABCD has dimensions of 7 cm and 6 cm. Rectangle PQRS has dimensions 14 cm and 12 cm. Determine the coefficient of the similarity k of the rectangles; if they aren't similar, enter zero as the coefficient of similarity.
- Workers
Two workers, A and B, will be done work together for 10 days. They worked together for 8 days. Then A worker became ill, and worker B finished the job alone for 6 days. If every worker worked alone, how many days did the whole work take for workers A and
- Machine
The price of the new machine is € 65000. The 12% of residual value is depreciated every year. What will the value of the machine be after 2 years?
- Madams
During spring cleaning, ladies were going to wash the windows. Mother takes 5 hours to wash all the windows, the grandmother takes 3 times longer, and Paula washes all the windows in 2 hours. How many hours will you spend washing the windows of this "wome
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