Maths practice for 14 year olds - page 329 of 379
Number of problems found: 7575
- Apprentice
The worker and apprentice execute the work for 6 hours. The worker performs himself in 10 hours. How long does the work of an apprentice take? - Amazing number
An amazing number is a name for such an even number, the decomposition product of prime numbers has exactly three, not necessarily different factors, and the sum of all its divisors is equal to twice that number. Find all the amazing numbers. - Shepherd
The shepherd has fewer than 500 sheep; where there can be up to 2, 3, 4, 5, or 6 rows, there is always one remaining, and it can be increased up to 7 rows of sheep, and it is not increased any ovine. How many sheep have a shepherd? - Acceleration
The car accelerates at a rate of 0.5 m/s². How long does it travel 400 meters, and what will is its speed? - construction triangle problem
Construct the vertices C of all triangles ABC, if given side AB, height vb on side b, and length of line tc on side c. Build all the solutions. Mark the vertices C1, C2,. .. - Square grid
A square grid consists of a square with sides of a length of 1 cm. Draw at least three patterns, each with an area of 6 cm² and a circumference of 12 cm, and their sides in a square grid. - Alcohol mixing
How much 55% alcohol must we pour into 1500 g 80% alcohol to form a 60% alcohol? How much is 60% alcohol created?
- Spirit From 55% and 80% spirit, we would like to produce 0.2 kg of 60% spirit. How many of them must we use in a solution?
- Lord Ram
When lord Ram was founded, the breed of white sheep was eight more than black. White sheep are four times higher than at the beginning, and black three times more than at the beginning. White sheep is now 42 more than the black. How many white and black s - Container with water
The weight of a container with water is 2.48 kg. Suppose the cast is 75% water, and the container with water weighs 0.98 kg. Determine the weight of the empty container. How much water was originally in the container? - Lift
The largest angle at which the lift rises is 16°31'. Give climb angle in permille. - Sheep
Shepherd is tending the sheep. Tourists asked him how much they had. The shepherd said, "there are fewer than 500. If I lined up in 4-row, three remain. If in 5-row, four remain. If in 6-row, five remain. But I can form 7-row." How many sheep have a sheph - Gravitational 2137
The whale, weighing 8 tons, was thrown aground by the sea. The whale is approximately 20 m long and 2 m wide. Estimate the pressure under the belly of a whale. Consider a value of the gravitational acceleration of 10 N/kg. - Gasoline
35 l of gasoline is to be divided into four canisters so that in the third canister is 5 l less than the first canister, the fourth canister 10 l more than in the third canister, and the second canister half what in the first canister. How many liters of - Three friends
Petra was ill with three friends, each on a different day. Find out which day, who came, and what they handled. They came in three consecutive days a week. The first came on Tuesday. Karol did not come on Tuesday. Mirko arranged to change the date of the
- Phone number
A phone number with nine digits, none of which are repeated. The middle number in the second three-digit number is 3 times greater than the 6th and twice greater than the 7th. The three-digit number in the middle 3 numbers is 2 times greater than the last - Crates 2
In six crates is 45 kg of apples Five crates are equally apples. In the first crate is 3 kg more apples. How many kilograms are in each crate? - Office
The office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7m. How much does CZK cost to plaster the building walls per 1 m square cost CZK 400? - Bathroom
How much CZK do we pay for lining the perimeter walls of the bathroom with rectangular shapes with dimensions of 3.5 m and 4 m, high 1.5 m if 1 square m tile costs 300 CZK? - Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters.
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