Maximum + minimum - practice problems - last page
Number of problems found: 51
- Trousers
In the class were 12 students. Nine students were wearing trousers and turtlenecks eight. How many students wore trousers with a turtleneck? - Cookies
In the box were a total of 200 cookies. These products have sugar and chocolate toppings. The chocolate topping is used on 157 cookies. Sugar topping is used on 100 cakes. How many of these cookies have two frostings? - Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Cross-sections of a cone
Cone with base radius 16 cm and height 11 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body.
- Bouquet
The gardener tied a bouquet of flowers for eight, and none was left. Then he found that he could tie a bouquet of 6 flowers and also none was left. How many have gardener flowers (minimum and maximum) if they had between 50 and 100 flowers? - Digits
Write the smallest and largest 2-digit natural number. - Camp
In a class are 36 children. During the holidays, 20 children were in the camps and 18 children on holiday with their parents. Find the minimum and the maximum number of children that may have been in the camp and on holiday with their parents at the same - Glasses
Imagine a set of students in your class (number of students: 15) who wears glasses. How many minimum and maximum elements may contain this set? - Statue
On the pedestal, high 4 m is a statue 2.7 m high. At what distance from the statue must the observer stand to see it at the maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m.
- 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 - Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible.
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