Math practice for 13 year olds - page 273 of 413
Number of problems found: 8260
- Enlarged rectangle
The rectangle has dimensions of 8 cm and 12 cm. We enlarge it in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle? - Ages Four Years Ago
Peter and Paul are 26 years old together. Four years ago, Peter was twice as old as Paul. How old is Peter? And how much for Paul? - The square
What number is the square root of 25 times the square root of 81? - Three painters
The three painters have painted bridges. The first would work done in 5 days, the second in 6 days, and the third in 7.5 days. How long will the bridge work if they work together? - Apples
Zuzana bought 3 kg Jonathan apples. Then she noticed that Golden apples were 3 CZK a kilogram cheaper. So they bought 2 kg. For apples, she paid a total of CZK 109. How much did 1 kg, Jonathan, and how much Golden? - Language choice
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Tickets Sold Fraction
The salesman had several tickets. He sold a third to the first customer and a third to the others. He has six tickets left. How many did he initially have? - 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%. - Class composition
A fifth-grade class has 25 pupils. 18% are boys and 23% are girls... [Note: problem appears inconsistent as 18% + 23% ≠ 100%; please check original data.] How many boys are in the class and how many girls? - Rhombus
The rhombus has diagonal lengths of 4.2 cm and 3.4 cm. 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? - Paul earned
Paul earned 300 CZK in one hour, Wesley 1/3 more than Paul. Wesley worked 60 hours, which is 1/3 fewer hours than Paul worked. How much percent less did Paul an hour than Wesley? How many hours did Paul more than Wesley? How much did Paul earn more than W - Trapezoid construction
Draw an isosceles trapezoid ABDC if a = 6 cm, v = 5 cm, 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
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