Math practice for 13 year olds - page 70 of 428
Number of problems found: 8559
- Dance party
At the dance party, the organizer discovered that 168 different dance pairs could be formed from girls and boys. How many boys are there at the dance if there are 12 girls? - Excavator pit days
Two excavators dig a pit in 12 days. How much shorter will this job take if 8 excavators dig the hole? In 3 or 9 days? - Segment ratio reduction
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? - 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. - Number percentage increase
Increase 380 by 28% - Gasoline comsuption
In 24 hours, the engine consumes 346 I of gasoline. How many liters does it consume in 126 hours of operation? - Horse water supply
The water supply is enough for 12 horses for 16 days. How many horses will this supply of water last for 12 days? - Number percentage reduction
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. - Isosceles triangle angles
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. - Father son age
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? - Appliance voltage current
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? - Cube volume surface
The volume of a cube is 0.512 m³. Calculate its surface area. - Metro train increase
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 - Cone volume surface
Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm. - Loan interest payment
You borrowed €2000 for 3 months. What amount must you pay back if the lender charges a 15% interest rate per annum? - Sweater discount price
The purchase of a sweater after a 28% discount was CZK 360. How much was the shirt before the discount? - Pipe water 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?
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