Math practice for 13 year olds - page 394 of 414
Number of problems found: 8279
- Moving
Walter left the house at three o'clock at 4 km/h and, half an hour later, went from the same place to Philip by bicycle at speed 11 km/h. How long does it take Philip to catch up with Walter, 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? - 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 14 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'. - Lid
What is the weight of the concrete cover (lid) of a round well with a diameter 1.65 m if the thickness of the cover is 9 cm? 1 m³ of concrete weighs 2190 kg. - 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 39.5 cm. The angle between the diagonal and longer side of the rectangle is 43°. 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 a pharmacy, one container holds a 20% disinfectant solution and another holds a 50% solution. 16 litres of a 26% solution need to be prepared. What amount of solution from each container is needed? - 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.
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