Maximum + minimum - practice problems
Number of problems found: 51
- Min-max
What is the maximum and minimum of the data set: 6, 2, 3, 3, 2, 2 - Digits
Write the smallest and largest 2-digit natural number. - 5-number summary
Given the following 5-number summary: 11, 19, 24, 30, 48, which of the statistics cannot be determined? - Flowers 6229
There are 20 flowers in the vase. There are 15 white flowers and ten roses. Are there white roses in the vase? - Summands 4213
Divide the number 28 into two summands so that their product is maximal. - Ten boys
Ten boys chose to go to the supermarket. Six boys bought gum, and nine boys bought a lollipop. How many boys bought gum and a lollipop? - Classmates
Roman is ranked 12th highest and eleventh lowest pupil. How many classmates does Roman have? - Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Trousers
In the class were 12 students. Nine students were wearing trousers and turtlenecks eight. How many students wore trousers with a turtleneck? - 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? - 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. - Smallest 32811
Which diamond with a side length of 7.5 cm has: a / largest area, b / smallest area - Skoda cars
There were 16 passenger cars in the parking. It was the ten blue and 10 Skoda cars. How many are blue Skoda cars in the parking? - Closest 82051
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0) - Equations 4781
Determine the smaller root of the root pair of the system of equations. 5a + 4b = 11 3a - 2b = 11 - Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible. - Benches 18013
There are 12 benches in the park. Four people can sit on the bench. At least two people sit on each of them. How many and most people sit on benches? - Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C? - Cylindrical container
An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container. - 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.
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