Maths practice for 14 year olds - page 313 of 361
Number of problems found: 7215
- Sweets
Three chocolates and seven cakes cost 85 CZK. Two chocolates and six cakes cost 86 CZK. How much are five chocolates and nine cakes? I wonder how to get the result, but only by logic, without using a system of equations. - MO circles
George built the ABCD square with a 12 cm side. In this square, he scattered a quarter circle with a center at point B passing through point A and a semicircle l with a center at the center of the BC side and passed point B. He would still build a circle - Regular octagon
Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S'): ABCDEFGH - A'B'C'D'E'F'G'H'. - TV transmitter
The volume of water in a rectangular swimming pool is 6,998.4 hectolitres. A promotional leaflet states that if all the pool water were to fill a regular quadrilateral prism with a base edge equal to the average depth of the pool, the prism would have to - Apprentice
A worker and an apprentice can complete a job together in 6 hours. The worker alone can finish it in 10 hours. How long would the apprentice take alone? - 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
A shepherd has fewer than 500 sheep. When lined up in rows of 2, 3, 4, 5, or 6, there is always one remaining. However, they can be lined up in rows of 7 with none left over. How many sheep does the shepherd have? - 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 add to 1,500 g of 80% alcohol to obtain a 60% solution? How much 60% alcohol is produced? - 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 as many as at the beginning. White sheep is now 42 more than the black. How many white and black - 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 per mille. - 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 - Whale pressure
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
Peter was visited by 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. Charles did not come on Tuesday. Miro helped change the training sched - 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
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