Maths practice for 12-year-olds - page 336 of 362
Number of problems found: 7223
- 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
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?
- 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?
- Lentilka
Lentilka made 31 pancakes: eight unfilled, 14 filled with strawberry jam, and 16 filled with cream cheese. a) How many Lentilka did strawberry-cream cheese pancakes? Max ate four strawberry-cream cheeses and all pure strawberry pancakes. Nicholas ate thre
- 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
- The balls
You have 108 red and 180 green balls. You have to be grouped into the bags so that the ratio of red to green in each bag is the same. What may the smallest number of balls be in one bag?
- Mushrooms from the forest
Magda and Tereza go to pick mushrooms. Found 70 mushrooms. Magda found that between fungi, 5/9 bedel was found. Tereza discovered that she found 2/17 champignons among fungi. How many mushrooms were found, Magda?
- 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?
- Square room
What is the size of the smallest square room, which can be paved with tiles with dimensions of 55 cm and 45 cm? How many such tiles are needed?
- Box of chocolates
In a box of chocolates were 16 candies. Christopher and Luke were distributed: a) Christopher had about four candies over Luke, b) Christopher had about six candies less than Luke, c) Christopher had three times more sweets than Luke. How many had each bo
- Arithmetic average
The arithmetic mean of the five numbers is exactly 8. The sum of these four numbers is 30. What is the fifth number?
- Workhorses
A team of colleagues did the work in 20 days. After adding two colleagues from the beginning, the team completed the work in 15 days. How many members has the colleague team?
- Shoes
Peter decided to measure the shoe size of his three friends. Measured accurately and written as follows: Venda and Jenda together 52 cm Jenda and Zdenda together 58 cm Zdenda and Venda together 54 cm a) How long measure Vendy, Jenda, and Zdenda shoes toge
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