Examples for secondary school students - page 172 of 237
Number of problems found: 4731
- Round destiny
A bag contains 5 white and 10 red balls. Four balls are drawn at random. What is the probability of the event "at least two of the drawn balls are white"? - Atomic diameter
The diameter of the atomic nucleus is 10 to -12 cm. How many atoms would fit on a 1 mm line if they could be arranged close together? - Sun density
The volume of the Sun is 1.4x10 per 18 km cubic, and the weight is 2x10 per 30 kg. What is the average density? (in kg/m cubic) - Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides are consecutive terms of an arithmetic progression. - Exponent value
Determine what y equals in expression (16^y): 5 = 0.4 - Geometric progression
Determine the quotient and the first member of GP if a3 = 0.52 and a1 + a2 = 0.39. - Square root sum
Determine the sum of the square roots of the number 25. - Cube diagonal
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Geometric progression
Determine the quotient and the first member of GP if a3 = 0.39 and a1 + a2 = 0.39. - Angle
Determine the size of the smallest internal angle of a right triangle whose angles form consecutive terms of an arithmetic sequence. - Arithmetic progression
Determine the twenty-first term and the difference AP if a1 = 0.12 and a1 + a2 = 0.42. - Glass
How many glasses are needed to produce glass with a base of a regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm? - Arithmetic progression Determine the ninth term and the difference AP if a3 = 4.8 and a2 + a3 = 8.
- Complex roots
Find the sum of the fourth square root of the number 16. - Diagonal of the rectangle
Calculate the rectangle's diagonal, whose area is 54 centimeters square, and the circuit equals 30 cm. - Dictation
A total of 30 students wrote the dictation. One third of them received a grade of 1 or 4. There were four times as many 2 s as 3 s. How many students received an insufficient grade, given that 7 students received a grade of 1, which is also equal to the s - Geometric progression
Find the quotient and the sixth term of GP if a1 = 420, a1 + a2 = 630. - Four-digit numbers
Create all four-digit numbers from digits 1,2,3,4,5, which can repeat. How many are there? - Arithmetic progression Determine the fourth term and the difference AP if a1 = 3.2 and a2 + a3 = 7.
- Geometric progression
Determine the seventh GP member if a1 = -3.4, q = 5
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