Maths practice for 14 year olds - page 353 of 382
Number of problems found: 7625
- Unknown number
An unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies: • The difference between the first and second prime numbers is half the difference between the third and second prime - Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge? - Trousers
Jerry bought new trousers, but the trousers were too long. Their length was in the ratio of 5:8 to Jerry's height. The mother cut his trousers by 4 cm. Thus, the original ratio decreased by 4%. Determine Jerry's high. - Gold coin
The gold coin contains 966 permille pure gold, which is 8.7 g. What is the weight of the coin in grams? - Dealer
Dealer sells digital camera for € 747. Thirty percent of the price was his profit. After some time, decreased interest in selling the camera and reduced its sales price by 11 %. How much percent of the new price now is the dealer's profit? Round the resul - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism. - Hockey players
After we cycle, five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - Sinus
Determine the smallest integer p for which the equation 3 sin x = p has no solution. - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers. - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Two diggers
There are two diggers. One digger digs a pit 77 hours per second, digging 1.2 times faster. a) how long did digging a pit with a second digger take? b) how long did it take to dig together? - Snowman 2
On the medal, which has the shape of a circle with a diameter 39 cm, is sketched a snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over the snowman is the same as under it, 3. diameters of all circles - Climb
For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (per mille, parts per thousand). - Hexagon 5
The distance of parallel sides of regular hexagons is 97 cm. Calculate the length of the radius of the circle described in this hexagon. - Medal
Calculate the approximate weight of the gold Olympic medal if its diameter is 7 cm and its thickness 6 mm. The density of gold can be found in tables or on the Internet. - Mother and daughter 2
The mother is 25 years older than her daughter. How old is the mother if her age is eight-thirds age of the daughter? - Mother and daughter
Three years ago, the mother was three times older than the daughter. After nine years, she will be only twice as old. How old is the mother (and daughter)? - Two workers
Two workers will do certain work for 12 days. After eight days of working, one was removed, and the other finished the job alone in 10 days. For how many days would you do this work alone for each worker? - The dice
What is the probability of events if we throw a dice rolled less than 1?
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