Maximum - practice for 14 year olds - last page
Number of problems found: 37
- A car
A car weighing 1.05 tonnes driving at the maximum allowed speed in the village (50 km/h) hit a solid concrete bulkhead. Calculate height would have to fall on the concrete surface to make the impact intensity the same as in the first case! - Different 5402
Adélka had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she - Math logic
There are 20 children in the group. Every two children have a different name. Alena and John are among them. How many ways can we choose eight children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum o - Equations 4781
Determine the smaller root of the root pair of the system of equations. 5a + 4b = 11 3a - 2b = 11
- Capacity 4296
The hotel's capacity is, in total, 30 quiet rooms. Double rooms are x. The rest are triples. Express in terms of the maximum number of guests. - Z9–I–1
In all nine fields of given shape to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in th - Lathe
Calculate the percentage of waste if the cube with 53 cm long edge is lathed to the cylinder with a maximum volume. - Max - cone
The workshop must produce the greatest cone from the iron bar (shape = prism) with dimensions 6.2 cm, 10 cm, and 6.2 cm. a) Calculate cone volume. b) Calculate the waste. - Sports games
Pupils of the same school participated in district sports games. When dividing into teams found that in the case of the creative teams with four pupils remaining one pupil, in the case of five-member teams with remaining two pupils, and in the case of six
- Speedometer
The speedometer of a car reads 66 km/h. It's accurate to within 4.1% What is the maximum possible error? - Circle
The circle is given by center on S[-7; 10] and maximum chord 13 long. How many intersect points have a circle with the coordinate axes? - Reflector
The circular reflector throws a light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane? - Lathe
From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed? - Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which he wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas and eats one banana for every kil
- Fixed expenses 2013
Since 2013, the Slovak government has had plans to tax more small one-person businesses. Instead of fixed expenses, 40% will be fixed expenses 40% of gross income up to 420 Eur. Calculate what percentage of fixed expenses will in 2013 pays from gross inco - Glass of juice
The glass of juice-shaped cylinder 16 cm height and base diameter of 9 cm is filled with juice so that the level is 1 cm below the rim of the glass. Determine the maximum angle of the cup that we can tilt so the juice doesn't overflow. - Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area.
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