Maths practice for 14 year olds - page 179 of 371
Number of problems found: 7404
- Double-performance 17931
Excavation work was carried out by nine double-performance machines, which excavated 420 meters of excavation in one day. How many were there if the more powerful machine excavated 420 meters in a week (7 days) and the less powerful engine excavated 280 m
- Determine 17901
Determine the product's original price, which, after an increase of 20%, costs 90 CZK.
- Together 17881
Six maids make 200 beds in 2 hours. One maid makes 50 beds alone. Then, they all continue together. How long will it take them to make the rest of the beds together?
- Cross-section 17871
The road embankment has a cross-section of an isosceles trapezoid with bases 16 m and 10 m long and with arms 5 m long. How many cubic meters of soil is in the 400 meters long dam?
- Purchased 17851
The school purchased 80 flower pots with a total value of CZK 2,832. Smaller flower pots were 32 CZK each, larger 40 CZK. How many were there?
- Consumption 17823
The roof is a regular hexagonal pyramid shell with a wall height of v = 5 m and a base edge of a = 4 m. Calculate the consumption of sheet metal to cover the roof, assuming 15% losses.
- Simultaneously 17821
The reservoir is filled with the first pump in 30 hours, the second in 24 hours, and the third in 20 hours. How long does it take to fill the reservoir if all pumps are switched on simultaneously?
- Increased 17813
The price of one meter of fabric increased by CZK 40, so three meters for the new fee were CZK 60 cheaper than four meters for the original price. What was the original, and what was the new cost of the substance?
- Determine 17803
In a triangle, the aspect ratio is a: b = 2:1, and the aspect ratio is b: c = 3:4. Determine the aspect ratio a: b: c.
- Increased 17773
Salaries increased by 4:3. How much did wages increase?
- Tourist cottage
The tourist cottage has 11 rooms for 16 guests. Some of them are doubles, some singles. How many are double rooms and how many are single rooms?
- One-fifth 17753
The store stacked two hundred boxes of washing powder in three piles. There were 13 more boxes in the first pile than in the second pile, one-fifth more in the second pile than in the third pile. How many boxes were in which pile?
- Expensive 17743
The street vendor offered 60 shirts of two types at a total price of CZK 27,300. Cheaper shirts cost 420 CZK, more expensive 480 CZK. How many were there?
- Mixture of nuts
Alice bought a mixture of nuts containing cashew nuts, hazelnuts, and peanuts in a ratio of 1:2:3. If the peanuts weigh 90 g, calculate the weight in grams of the whole mixture.
- Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden?
- Twelve ties
The price of 12 ties before the discount was the same as 15 ties after the discount. Calculate the price of 1 tie after the discount if you know that the discount price of one tie fell by 40 CZK.
- Concentration 17633
If we mix 4l and 6l of differently concentrated salt solutions, we get a 12% solution. If we use 6l of the first and 4l of the second solution, we get a 13% solution. What is the concentration of each solution?
- Percentage 17613
At a horizontal distance of 800 m, the ski slope drops to 220 m above sea level. Determine the percentage decrease.
- Banknotes 17573
The eldest sister saved CZK 7,800 in the bank. She brought this amount only in 100CZK and 200CZK banknotes. The total number of these banknotes was 50. How many banknotes of both values were there?
- What percentage
Petra made lemonade from one liter of 100% fruit juice and three liters of water. When she tasted it, she found that it was too sweet and would not be tasty for everyone. She left two liters of it for her friends. She added two more liters of water to the
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