Math practice for 13 year olds - page 279 of 428
Number of problems found: 8552
- The truck
The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car traveled at a speed of 1 - School
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, one remains when sorted into 3, 4, 5, and 6 members teams. Sorted to seven members teams, no left behind. How many pupils are attending this school? - Two gardeners
The garden, with an area of 81 square meters, was divided by two gardeners in a ratio of 4:5. How much did the second gardener get more than the first? - Warehouse shipping
Five part-timers ship all goods from the warehouse in 12 days. Calculate how long it would take to bring twice as many goods out of the warehouse to part-timers if their number increased by 140%. - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height. - School Gender Ratio
If the ratio of boys to girls at school is 8:5, how often are there more boys than girls? - Fertilizer Dilution Ratio Water
The fertilizer bottle says: When applying during vegetation, the fertilizer must be diluted with water in a ratio of 1:5 favor of water. Mom poured a pint bottle of fertilizer into the bucket. How many liters of water should flow in? - Brick scale balance
Not one bowl of isosceles scales is two bricks and weighs 0.5 kg. The second bowl is half a brick and weighs 5 kg. How much does the whole brick weighs when the scales are in balance? - Paul earned Paul earned 300 CZK in one hour, Václav 1/3 more than Paul. Václav worked 60 hours, which is 1/3 fewer hours than Paul worked. How much percent less did Paul an hour than Václav? How many hours did Paul more than Václav? How much did Paul earn more than V
- Trapezoid construction
Draw an isosceles trapezoid ABDC if a = 6cm, v = 5cm, beta = 60 degrees. / sketch, procedure, construction / - Ratio of sides 2
The ratio of the side lengths of one square to another is 1:2. Find the ratio of the area of the two squares. - Square division
The area of 90000 m² is divided into 36 identical squares. Find the length of the side of one square (in meters). - Bus departure
Three lines depart from the bus station at 6-minute, 8-minute, and 12-minute intervals during the morning rush hour. Once in a while, they come out at the same time. How many times between 5:30 and 8:30 does this situation occur if they first go out toget - Cycling Speed Comparison
Jarka cycled a 100-meter distance at a speed of 30 km/h. What speed would she have to go to get it in a time equal to the world record in the 100m sprint (WR t = 9.58 s)? - Solutions, mixtures How many liters of 70% solution must we add to 5 liters of 30% solution to give us a 60% solution?
- Square
Square JKLM has sides of a length of 24 cm. Point S is the center of LM. Calculate the area of the quadrant JKSM in cm². - Overload
What overload in g (g-force) would have passed the pilot if he accelerated from 0 to 600 km/h in 3 seconds? - Workers Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send?
- Our house
Four painters would paint our house in 14 days. How long would it take to paint five painters? How long would it take for two other painters to help after five days? - The farmer
The farmer had 140 sheep. For the next year, she decided to change the number of sheep in a ratio of 10:7. How many sheep would he have then?
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