Basic functions - math problems
Number of problems found: 2524
Of the 120 tulips in the garden, 45 are red, 66 are yellow, the rest are brindle. What percentage of tulips in the garden are brindle?
- Dance ensembles
4 dance ensembles were dancing at the festival. None had less than 10 and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many danc
- Venn diagram
University students chose a foreign language for the 1st year. Of the 120 enrolled students, 75 chose English, 65 German, and 40 both English and German. Using the Venn diagram, determine: - how many of the enrolled students chose English only - how many
- Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
- Proportional relationship
The ordered pairs (6,24) and (1, s) represent a proportional relationship. Find the value of s.
Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
- One dice
Calculate the probability of one dice roll with the numbers 1, 2, 3, 4, 5, 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An even
- The wooden
The wooden block measures 12 cm, 24 cm, and 30 cm. Peter wants to cut it into several identical cubes. At least how many cubes can he get?
- Into box
How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm; 8.9 cm and 13.75 cm?
- Number 4
Kamila wrote all natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
- Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere?
- Two-element combinations
Write all two-element combinations from elements a, b, c, d.
- Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice
- Borrowing bicycle
Jakub lent a bicycle to friends who wanted to ride it. For a three-hour bike ride, Jakub received 2 chocolates. Yup. If you wanted a bike for 2 hours, you had to give Jakub 12 candies. Peter gave Jakub 1 chocolate and 3 candies. How long can Peter ride Ja
- Ascend vs. descent
Which function is growing? a) y = 2-x b) y = 20 c) y = (x + 2). (-5) d) y = x-2
- Two xeroxes
The performances of the two copiers are in the ratio 3: 4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours?
- Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9?
- Railway embankment
The railway embankment section is an isosceles trapezoid, the sizes of the bases of which are in the ratio 5: 3. The arms have a length of 5 m, and the height of the embankment is 4.8 m. Calculates the size of the embankment section area.
- Original plan
Gardeners planted 16% more currant bushes than originally planned. In total, they planted x = 435 shrubs. What was the original plan?
- Three colors
Find the probability that 3 balls of the same color will be drawn from fate with 10 white, 10 red, and 10 blue balls.