Maths practice for 14 year olds - page 230 of 371
Number of problems found: 7410
- Circumference 7052
The trapezoid ABCD is given (AB || CD, AB perpendicular to AD). Calculate its circumference if | AB | = 20cm, | CD | = 15cm, | AD | = 12cm. Pythagorean theorem
- Father and son
Father and son weigh together 108kg. The father weighs 2.6 times more than his son. How much does the weight of my father and son count?
- Performs 7048
The older type of point device performs 50 spot welds in 10 minutes, and the new type has five more welds. In how many hours will the work produce a total of 945 welds?
- Five pupils
Five pupils clean 30 chairs one hour before four pupils. How many chairs clean one pupil in 1 hour?
- There
There are 32 trees of three species in the orchard. 25% cherries, three eighty pears, and other plums. How many plums are in the orchard?
- Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm
- The tourist
The tourist traveled 190km in 5 hours. Part of the journey was at 5 km/h, and the rest was by bus at 60 km/h. How long has a bus gone?
- Positive 7040
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4
- Accommodation 7035
Fifty-nine pupils from the seventh grade of the primary school will go to the ski training course. They will live in three-bed and four-bed rooms at the mountain hut. The capacity of the hut will be filled entirely. The cottage has a total of 17 rooms rea
- Mathematical 7034
Jaroslav and his grandfather often played mathematical games. His grandfather gave him the following puzzle: The sum of four consecutive even numbers is 116. What are they?
- Younger 7033
Cyril was four times less than Dalibor 3 years ago. How many years will Cyril be 2x less if he is 3x younger now?
- Linear system
Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2
- Pavement
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if the distance of the pavement from the center is 15 m.
- Diagonals 7029
The number of diagonals of a given polygon is 88 more than the number of its sides. How many sides does this polygon have
- The cube
The cube has an edge of 12 dm. The second cube has an edge exactly 20% longer. How much % more water is in the second cube than in the first cube if the first cube is full to 3/4 and the second to 3/8?
- Exchange rates
If the Canadian dollar appreciated by C$0.005 relative to the US dollar, what would be the new value of the Canadian dollar per US dollar? Assume the current exchange rate was US$1 = C$0.907.
- Inscribed 7018
The dragon has the shape of a regular hexagon inscribed in a circle with a radius of 20 cm. What is the area of the dragon?
- Two diggers
Two diggers should dig a ditch. If each of them worked one-third of the time the other digger needed, they'd dig up a 13/18 ditch together. Find the ratio of the performance of these two diggers.
- Notation 7014
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers.
- Younger 7012
Lena is seven years older than Monica. If both Lena and Monica were four years younger, she would be twice as old as Monica. How old is Lena?
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