Maths practice for 14 year olds - page 220 of 368
Number of problems found: 7346
- Cutting square
We cut the circle with the highest possible diameter from a square with a side of 30 cm. How many percent of the square area is this circle? - Hectoliters
How deep is the pool if there are 2025 hectoliters of water, the bottom dimensions are a = 15 meters b = 7.5 meters, and the water level is up to 9/10 (nine-tenths) of the height? - Bullets 7405
Pavol, Igor, and Kubo played bullets. They had a total of 25 marbles. Palo had 6 more bullets than Kubo at the start. Then Igor won 8 bullets from Pavol, and thus Igor had the same number of bullets as Kubo. How many marbles does Pal have left? - Three pumps
We are filling the pool. The pool would fill the first pump in 12 hours and the second in 15 hours. If all three pumps ran simultaneously, they would fill the pool for 4 hours. How long would the pool fill only with the third pump? - Four poplars
Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be? - Two cities
The distance between cities A and B is 132 km. At 9.00 AM, the cyclist started the bike at an average speed of 24 km/h, and at 10.00 AM, the B cyclist at an average speed of 30 km/h. How long and far from A will they both meet? - The pool
The pool contains 220 m³ of water. Workers can empty the pool either: a) 10 hours of pipe B and 8 hours of pipe A, or b) 10 hours of pipe A and 7 hours of pipe B. How many cubic meters of water will flow in 1 hour from pipe A, and how many from pipe B? - Bricks pyramid
How many 50cm x 32cm x 30cm bricks are needed to build a 272m x 272m x 278m pyramid? - Isosceles trapezium
Calculate the area of an isosceles trapezium ABCD if a = 10cm, b = 5cm, c = 4cm. - Secondary 7394
P girls and four times as many boys applied to a certain school. After the entrance exams, a quarter of the girls and half of the boys got into secondary school. How many students were accepted into the 1st year of this high school? - Children 7393
The average age of the children in the group is 14 years. There are four times more boys than girls in the group. The average age of the girls in the group is 12 years. What is the average age of boys? - Christmas 7392
The parents won 12,000 euros. They decided to spend 34% of their winnings on Christmas presents and put the rest in the bank. How many euros did they deposit in the bank? What was the annual interest rate at the bank if they were credited with 118.8 euros - Differing 7391
The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers? - Banknotes 7389 My mother had CZK 1,550 in her wallet in CZK 100 and CZK 50 banknotes for 21 pieces. How many banknotes were there?
- Shareholders years
360 people with voting rights were present at the shareholders' meeting. There were 104 votes more than against a specific proposal. How many shareholders favored the proposal, and how many were against it? - Elevation angles
Two endpoints distant 240 m are inclined at an angle of 18°15'. The top of the mountain can be seen at elevation angles of 43° and 51° from its. How high is the mountain? - Express train
An international express train drove from Kosice to Teplice. In the first 279 km, the track was repaired; therefore, it was moving at a speed of 10km/h less than it was scheduled to drive. The rest of the 465 km trip has increased the speed by 8 km/h to t - Mixing water
We should fill the 30-liter container with water at 60 degrees Celsius. How many liters of water is 80 degrees C hot, and how many liters of water are 20 degrees Celsius warm? Do we have to mix? - Kindergarten 7381
The municipal authority purchased 36 large and 25 small rubber balls for the children in the kindergarten. They paid as much for two large balls as for five small ones. The invoice was issued for CZK 5,980. How much did the big ball cost? - Summands 7380
Divide the number 4600 into two summands so that one summand is 700 larger than half of the other summand.
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