Math practice for 13 year olds - page 84 of 414

Number of problems found: 8262

Banknote payment euros
Participants paid out 3,300 euros in 40 banknotes. Some were 50e, and others were 100e. How many were there?
Bus highway speed
Tourists traveled by bus to Croatia. They drove the highway in 8 hours at an average speed of 100 km/h. How fast would they cover it if they walked at an average speed of 120 km/h?
Map scale reduction
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal
Younger Carlos
In 2005, Peter was three times as old as Carlos. In 2020, Carlos was half his age younger than Peter. In which year was Peter born and in which Carlos?
Painter fence work
Two painters are painting the factory fence together. If everyone worked alone, the first would finish the job in 16 days, the second in 20 days. When will they finish the work together?
Apricot peach purchase
We paid a total of 85 crowns for the purchase of 2.5 kg of apricots and 1.5 kg of peaches. A kilogram of peaches is CZK 2 cheaper than a kilogram of apricots. How much CZK was paid for the apricots?
Katka marble total
Kate has k marbles, Patricia has 20 more marbles than Kate, and Helen has 30 marbles less than Patricia and Kate combined. How many marbles do they all have in total?
Free fall velocities
Calculate the instantaneous free fall velocities at the end of the 1st, 3rd, 5th, and 7th seconds. Compile the results in a table.
Spherical segment
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r = 5 cm and the radius of the circular base of the segment ρ = 4 cm.
Circumscribed - sphere
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere.
Pavla Irena age
Paula is 2x older than Irene. Four years ago, Paula was 6 times as old than Irene was then. In how many years will the ages of Paula and Irene be in the ratio of 4:3? Thanks
Everyone age average
There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class?
Cyclist peloton speed
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible?
Windbreaker price increase
Before the season, the windbreaker became more expensive by 30% to the amount of 80.60. How much was it before the price increase?
Friends money division
The three friends divided the money earned as follows: Tony got 2/5, Charles 2/9, and Jirko took the rest of CZK 102. How much did each of them earn?
Siblings 6
Siblings Martin and Judy decided to visit a castle 10 km from their home. Martin left at 7:30 and walked at a speed of 4 km/h. Judy set off on her bicycle an hour and a half later and rode at 16 km/h. Did Judy catch up with Martin before the castle? If so
Refreshing drink
For the participants of a meeting a refreshing drink had to be prepared. The mineral water however had in summer the temperature of the room, i.e. 30 °C, for drinking water with a temperature of 10 °C would be suitable. Therefore the secretary took ice fr
Martin number subtraction
Martin thinks of a number. Subtracting two-thirds of it and adding the number 8 gives the number 40. What is the original number that martin was thinking of?
Weekend visitor percentage
The second weekend saw 20% fewer visitors than the first. Over the two weekends, the number of visitors was 27,500. How many visitors came on the second weekend?
Tank inlet filling
The fire tank is filled with three inlets, each flowing 6 liters per second in 12 hours. How long will it take to fill if 8 liters per second flow through each of them?

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