Math practice for 13 year olds - page 234 of 422
Number of problems found: 8427
- The chimney
The chimney casts a shadow 45 meters long. The one-meter-long rod standing perpendicular to the ground has a shadow 90 cm long. Calculate the height of the chimney. - Four painters
The company sent four painters to paint the school. They should be done in 12 days. After three days, one painter got ill. How long will the remaining painters paint the school? - Director 8315
The director will give you € 525 for travel. If you spend £ 223, how many euros will you return to the director? exchange rate 1 € = 0.85 Ł - Playground 8308
The journey to Ed and on to the course takes 26 minutes. How long does the journey to Ed take when the trip from Ed to the playground is 4 minutes longer than the journey from the house to Ed? - Metal tube
Calculate the metal tube mass 8 dm long with an outer radius of 5cm and an inner radius of 4.5cm. One cm³ of this metal is 9.5g. - Winch
The steel rope has a diameter of 6mm and a length of 20m. We are winding it on a drum width of 60 mm, with a starting diameter of 50 mm. What is the final diameter after winding? - Intersection 8295
Write whether the function is ascending or descending and determine the coordinates of the intersection with the x and y axes: y = 3x-2 y = 5x + 5 y = -0.5x-1 - Delayed clock
Michael put a new battery into his watch at midnight. However, they are 5 seconds late each minute. How many hours does the watch show in 24 hours? - Iceberg
What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg? - Banknotes
How many different ways can the cashier pay out € 310 if he uses only 50 and 20 euro banknotes? Find all solutions. - Concentric circles
There is given a Circle K with a radius r = 8 cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area? - Rectangle 8287 The soccer player circled the field in a rectangle seven times. He walked 840 meters. How long are the sides of the course if one side is 20 meters longer than the other?
- Assembly parts
Nine machines produce 1,800 parts on nine machines. How many hours will it produce 2 100 parts on seven such machines? - Seven workers
Seven workers clear the glade in 22 hours. How many workers would be needed to complete the task in 8 hours? - Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder. - Bed 10
A bed shaped like two equilateral triangles with a common side, with a side length of 2.5 m, is to be planted with seedlings of an ornamental shrub. The gardener recommended leaving 40 cm between the individual seedlings and 10 cm of the perimeter for the - Probability - coloured balls
We have ten white, ten red, and ten blue balls in our pockets. We selected five white, two red, and three blue balls. What is the probability that we will pick a white ball in the next move? - Step-by-step 8273
On a map with a scale of 1:500,000, the aerial distance is equal to 12 cm. The distance by rail is equal to 100 km. The road distance is 92 km. Express the air, rail, and road distance in a step-by-step ratio. - Tourist
A tourist walked an average speed of 3.5 km/h route in 6 hours. Calculate how many hours he would have passed at an average speed of 5.5 km/h. - Castle model
The castle model has a cone-shaped roof. The cone side is 45 cm long, and the base radius is 27 cm. a) What is the roof volume? b) How much dm² of wallpaper is used to glue the roof, i.e., the cone shell? c) What is the roof's weight if it is made of wood
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