Examples:
In 2000, 2005 and 2010, the total number of full-time teachers in ordinary high schools in China was 756,850, 1299460 and 1518194 respectively. Among them, the number of women was 273,110, 558625 and 723566 respectively.From the perspective of age structure, in 2000, 2005 and 2010, the total number of full-time teachers aged 31 35 in ordinary high schools was 185873, 265509 and 322829 respectively, of which the number of women was 68,346, 117838 and 164175 respectively. 36 The total number of full-time high school teachers aged 40 was 117242, 248837 and 272313, of which 35,751, 95,566 and 122953 were females, respectively. 41 The total number of full-time senior high school teachers aged 45 is 55,522, 137235 and 239616 respectively, of which 15,728, 42,931 and 93,641 are women.
Question 1:
In 2000, among the full-time teachers aged 31-45 in ordinary high schools in China, a total of () people were not evaluated for professional titles.Analysis:In the positioning, "in 2000, the number of unrated professional titles of 31-35 years old, 36-40 years old, and 41-45 years old were respectively people".a.68253
b.33193
c.989d.612
Ordinary Solution:612 + 256 + 121 = 989 (person).
Quick Solution:Preference is given to the mantissa method, 2 6 1 = 9, and only the mantissa of option C is 9.
So, choose option C.
Question 2:
In 2005, the average age of full-time high school teachers aged 31-45 in China may be () years.Analysis:"In 2005, the number of teachers aged 31-35, 36-40 and 41-45 were respectively people".a.34b.37
c.40d.41
Take the median of each age group as the average age of the age group and 43.
The average age of teachers aged 31-45 in 2005 may be (33 27 + 38 25 + 43 14) (27 + 25 + 14) = 2443 66 37 (years).
So, choose option B.
Knowledge Points:
Average = Total number of total.
Basic addition and subtraction techniques: mantissa method and truncation method.
Mantissa method: It is mainly used for simple addition and subtraction calculations, when the accuracy of the option is consistent with the material and the mantissa is different, the mantissa is preferentially calculated when calculating addition and subtraction problems.
Truncation method: In the calculation of addition and subtraction, when the accuracy of the option is inconsistent with the material, that is, the rough calculation, the data can be rounded to the same extent according to the option. Generally, the first two digits of the cut-off are rounded to add or subtract estimates.
Question 3:
In 2010, at least about 10,000 full-time teachers aged 41-45 in China were not full-time teachers in ordinary high schools in 2000.Analysis:Positioning** data "In 2000, the subtotal of teachers aged 31-35 was 185873 (about 1860,000 people), and in 2010, there were 239616 teachers aged 41-45 (about 2400,000)".a.5b.8
c.18d.16
In order to keep as small as possible the number of teachers aged 41-45 in 2010 who were not full-time teachers in regular high schools in 2000, it is necessary that the number of teachers in this group who were full-time teachers in regular high schools in 2000 should be as large as possible, with a maximum of 1860,000 people.
Therefore, in 2000, the number of full-time teachers in non-ordinary high schools was at least about 24 186=5.4 (10,000 people), which is the closest to option A.
So, choose option A.
Question 4:
Among the full-time teachers of ordinary high schools in China, the following age groups have the largest proportion of women:Analysis:Locate the second paragraph of the textual material. The data is more complex, and the cut-off rounding is the same.a.36-40 years old in 2005.
b.31-35 years old in 2010.
c.36-40 years old in 2010.
d.41-45 years old in 2010.
Option A: In 2005, the total number of full-time teachers in regular high schools aged 36-40 was 248837, of which 95,566 were female teachers, accounting for about 96,249,386%。
Option B: In 2010, the total number of full-time teachers in regular high schools aged 31-35 was 322829, of which 164175 were female teachers, accounting for about 164 323 508%。
Option C: In 2010, the total number of full-time teachers in regular high schools aged 36-40 was 272313, of which 122953 were female teachers, accounting for about 123 272 422%。
Option d: In 2010, the total number of full-time teachers in regular high schools aged 41-45 was 239616, of which 93,641 were female teachers, accounting for about 94,240,392%。
So, choose option B.
Knowledge Points:
Specific gravity = current volume Overall volume.
Question 5:
The following statement is true:Analysis:option a, the first paragraph of the positioning text material "In 2000, 2005, and 2010, the number of female full-time teachers in ordinary high schools in China was 273,110, 558625, and 723566 respectively", and the number in 2010 was more than that in 2005, which is incorrect.a.The number of female teachers among full-time teachers in general high schools in China has been decreasing year by year since its peak in 2005.
b.In 2005, more than 60,000 full-time teachers aged 36 to 40 were rated as senior teachers in China.
c.2000 In 2010, the number of full-time teachers in ordinary high schools in China increased at a rate of about 10% per year.
d.In 2010, the proportion of full-time teachers in ordinary high schools who had not been evaluated for professional titles in the total number of full-time teachers in China decreased by nearly 3 percentage points compared with 2000.
Option b, Positioning** "In 2005, 36 40-year-old senior teachers were 69,292 (i.e. 6.).90,000 people), and in 2010, 142633 senior teachers aged 41-45 (i.e., 1430,000 people)", 143-6.9=7.4 (10,000 people), that is, 7 of the 36 40-year-old full-time teachers in China's first-class ordinary high school in 200540,000 people were rated senior teachers in 2010, wrong.
Option c, the first paragraph of the positioning text material "From 2000 to 2010, the number of full-time teachers in China's ordinary high schools increased from 756,850 to 1518194", according to the formula for calculating the average annual growth rate:
Solution r 7% < 10%, false.
Option d, locating ** data, the data is more complex, and the cut-off rounding is the same.
In 2000, there were 68,253 full-time teachers in ordinary high schools who had not been evaluated for professional titles, and the total number of full-time teachers was 756,850, accounting for about 68,757.9%.
In 2010, the number of full-time teachers in ordinary high schools without professional titles was 97,973, and the total number of full-time teachers was 1518194, accounting for about 98 1518 64%。
9.0%-6.4%=2.6%, that is, a decrease of almost 3 percentage points, correct.
So, choose option D.
Knowledge Points:
Average annual growth rate formula:
r represents the average annual growth rate, and n represents the year difference.
Specific gravity = partial quantity overall quantity.