Math practice for 13 year olds - page 389 of 425

Number of problems found: 8493

Train from Prague
The first train from Prague started at 8:00 AM at 40 kilometers per hour. Train from Ostrava started at 9:20 at 80 km per hour. How many hours and how far from cities with trains meet if the distance of cities is 400 km.
Train from Brno
The first train started from Brno at 8 AM at 60 km per hour. The second train started from Opava at 7 o'clock at 40 kilometers per hour. In how many hours and how far from cities do trains meet when the distance between cities is 200 kilometers?
Parking
One hundred twenty vehicles are parked in the morning. Passenger car is charged 20 CZK and 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and buses stood in the parking?
Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it?
Digging companies
Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days, and company D for 24 days. Work began with companies C and D, but after three days, They joined the other two companies. How long did it take to dig a pit?
Tractors
Six tractors started plowing the field, and work together took 12 days. Agronomist hesitates to: A) after two days, withdraw two tractors or B) after three days, withdraw three tractors. Help him which of these two cases will be plowing done sooner.
Seamstress 2
The seamstress bought two kinds of textile in whole meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were bought from these two textiles when paid 1540 SKK totally?
Seamstress
The seamstress bought two kinds of textile together 25 meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were purchased from these two textiles when paid 1540 SKK?
Spartakiada
Practitioners lined up in rectangles with a row with four, five, or six exercisers, one always missing an entire rectangle. How many exercisers were on the field, if they have estimated not been more than 100?
Around the flowerbed
Roses are to be planted equally spaced around a rectangular flowerbed with dimensions 5.25 m and 9.0 m so that they are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many roses do
Three men
Alex is half younger than Jan, which is one-third younger than George. The sum of their ages is 48. How are these three men old?
Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb).
Cross-country competition
The cross-country competition was attended by 76% of pupils of class 9B. The class consists of 16 boys, two of whom did not run, and four girls did not run. How many girls go to class 9B?
Eva
When Eva bought eight packages of cookies, 4 CZK left her. If she wanted to buy ten packages, she would have to borrow 20 CZK. How much money does Eva have in her wallet?
Cheapest milk
Mr. Šetrný and Mrs. Šetrná buy the cheapest milk. In their favourite shop they sell milk in red, green and blue boxes. Three red, two blue, and one green box cost together 120,- Sk. Two red, two blue, and one green box cost in total 98,- Sk. Three red, th
Mrs XY
Mrs. Novak is employed. In January 2015, the gross income reached € 855. Insurance is a 205.2 euro and income tax 97.47 euros. Employer precipitated Mrs. Novak in recent clashes € 135, of which 69 euros is for the savings account, and 66 euros is for repa
Summerjob
Albert, Beny, Cyril, and Dan worked on a summer job. From the total revenue, Albert received 2/5, Beny 1/6, 3/10 Cyril, and Dan the rest, which is 324 euros. How many euros were earned for every one of them?
Lenka and money
When Lenka bought pants from 1/3 of her savings and a shirt from 1/5 and 1/8 spent at the hairdresser, she was left with 328 CZK. How much money was saved? How much do hairdressers cost?
RT and ratio
A right triangle whose legs are in a ratio 7:14 has a hypotenuse 79 m long. How long are its legs?
Nuts
How many must we have at least nuts if we can equally divide it among 10 children, 12 children, or 15 children and any nuts left?

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