Math practice for 13 year olds - page 389 of 422
Number of problems found: 8435
- Buses
Buses Ikarus and Karosa simultaneously started at 8:00 from the final station. Ikarus is returned to the station after 30 minutes. Karosa after 45 minutes. At what time do both buses again return to the station? - 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. - 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. - 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 - 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? - Mrs XY
Mrs. Novak is employed. In January 2015, the gross income reached € 1348. Insurance is a 323.52 euro and income tax 153.67 euros. Employer precipitated Mrs. Novak in recent clashes € 115, of which 57 euros is for the savings account, and 58 euros is for r - 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 6:12 has a hypotenuse 68 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? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Cuboid - edges
The sum of all edges cuboid is 31 meters. However, the width is twice shorter as the length, and the height is seven times longer than the width. Determine the dimensions of the cuboid. - Pumps
Pump drawing water at velocity 3.5 liters per second from a construction trench takes 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What pumping velocity would you have ha - Plan scale
At what scale is the drawn plan of the building, where one side is 45 meters long, and the plan is expressed by a straight line 12 mm long?
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