Math practice for 13 year olds - page 402 of 422
Number of problems found: 8425
- Moving
Vojta left the house at three o'clock at 4 km/h and, half an hour later, went from the same place to Filip by bicycle at speed 11 km/h. How long does it take Tilip to catch up with Vojta, and how far from the house?
- 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?
- Salary
Since the beginning of the year, Mr. Johnson has earned a monthly salary of 955 USD. From which month was his salary increased by 52 USD, and when in the year did he earn 11824 USD (enter as a number from 1 to 12)?
- 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?
- 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?
- Rising price
The book first becomes more expensive by 5 euros. The new price was later increased by 28% after the second price increase book cost 30 euros. What was the original price of the book?
- 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?
- Addends
The number 681 is divided into two addends. The first was 9 greater than 60% of the second. Determine these addends.
- Fertilizer
Mr. Gherkin uses for fertilization 7% solution of fertilizer. 9 liters of it still left. How much water must be added to the solution to make only the 4% solution?
- Typing course
Before taking a typing course, Peter could type 32 words per minute. By the course's end, he could type 65 words per minute. Find the percent increase.
- 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 = 7 cm, b = 10 cm.
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