Math practice for 13 year olds - page 67 of 422
Number of problems found: 8424
- Segment 82178  If I reduce a segment of length 72 cm in a ratio of 5:8, how many cm will it be? If I reduce a segment of length 72 cm in a ratio of 5:8, how many cm will it be?
- Sun and shadow  The pole is stuck vertically into the ground. The protruding length is 1m. What is the length of the shadow cast when the sun is just 50° above the horizon? The pole is stuck vertically into the ground. The protruding length is 1m. What is the length of the shadow cast when the sun is just 50° above the horizon?
- Hypotenuse and legs  A right triangle with hypotenuse c=25 dm is given. Calculate the length of the unknown side, given: side a=15 dm. Find the area of this triangle. Sketch the triangle and describe all its vertices and sides correctly. A right triangle with hypotenuse c=25 dm is given. Calculate the length of the unknown side, given: side a=15 dm. Find the area of this triangle. Sketch the triangle and describe all its vertices and sides correctly.
- Increase 82151  Increase 380 by 28% Increase 380 by 28%
- Supply 82149  The water supply is enough for 12 horses for 16 days. How many horses will this supply of water last for 12 days? The water supply is enough for 12 horses for 16 days. How many horses will this supply of water last for 12 days?
- Determine 82148  If we reduce the unknown number by 24%, we get the number 358. Determine the unknown number. If we reduce the unknown number by 24%, we get the number 358. Determine the unknown number.
- Quadrilateral prism  Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base. Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base.
- Determine 82143  Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base. Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base.
- Fifteen 82121  The father is five times older than the son. The father will be twice as old as the son in fifteen years. How old is Dad now? The father is five times older than the son. The father will be twice as old as the son in fifteen years. How old is Dad now?
- Rectangle and squares  A 9cm × 15cm rectangle is divided into unit squares. How many paths are there from one rectangle vertex to the opposite vertex if one can only go to the right and up the sides of the squares? A 9cm × 15cm rectangle is divided into unit squares. How many paths are there from one rectangle vertex to the opposite vertex if one can only go to the right and up the sides of the squares?
- Appliance 82079  The voltage at the terminals of the appliance is 4.5 V. A current of 0.5A passes through the appliance. What voltage must the appliance have if a current of 0.7A is to pass through it? The voltage at the terminals of the appliance is 4.5 V. A current of 0.5A passes through the appliance. What voltage must the appliance have if a current of 0.7A is to pass through it?
- Calculate 82078  The volume of a cube is 0.512 m³. Calculate its surface area. The volume of a cube is 0.512 m³. Calculate its surface area.
- Throughout 82075  In the metro, trains run in one direction at the same speed and the same intervals. Yesterday, there were 24 trains throughout the day. More trains will run today, as the time interval between trains will be shorter by 20%. How many more trains will there In the metro, trains run in one direction at the same speed and the same intervals. Yesterday, there were 24 trains throughout the day. More trains will run today, as the time interval between trains will be shorter by 20%. How many more trains will there
- Calculate 82073  Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm. Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm.
- Borrowed 82069  You borrowed €2000 for 3 months. What amount must you pay back if the lender charges a 15% interest rate per annum? You borrowed €2000 for 3 months. What amount must you pay back if the lender charges a 15% interest rate per annum?
- Discount 82044  The purchase of a sweater after a 28% discount was CZK 360. How much was the shirt before the discount? The purchase of a sweater after a 28% discount was CZK 360. How much was the shirt before the discount?
- Through 82036  5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius? 5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius?
- Suspicion 82035  At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion? At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion?
- Together sewing  Eva sews a costume in 6 hours, Ivana in 8 hours, and Monika in 4 hours. How long will it take them to make the costume if they work together? Eva sews a costume in 6 hours, Ivana in 8 hours, and Monika in 4 hours. How long will it take them to make the costume if they work together?
- Repetition: 82003  Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition: Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition:
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