Maths practice for 14 year olds - page 231 of 375
Number of problems found: 7493
- Collision
The two bodies, whose initial distance is 240 m, consistently move evenly against each other. The first body has an initial velocity of 4 m/s and an acceleration of 3 m/s². The second body has an initial speed of 6 m/s and an acceleration of 2 m/s². Find - Car crash
A car crash occurred on the road with a maximum permitted speed of 60 km/h. From the length of the vehicle's braking distance, which was 40 m, the police investigated whether the driver did not exceed that speed. What is the conclusion of the police, assu - Two numbers 7
The sum of two consecutive even numbers is 30. Find the numbers. - Trapezoid Perimeter Pythagorean
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? - Spot Welding Time
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 integers
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4 - Ski Course Room Distribution
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 - Four Consecutive Even Numbers
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? - Cyril Dalibor age
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. - Polygon Diagonals Sides
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. - Hexagon dragon area
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?
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