Data unit test questions in life
1. The multiple-choice question1.4.13×10-4 is expressed in decimal as () a.-41300b.0.0338+03c.0.30438+03d.4638.40088888886
3. Xiao Min measured the length of a leaf he collected as 7.34cm with a measuring tool, so the smallest unit of this measuring tool is ().
Centimeter micron
4. From June to May, 2009, a city achieved a total local general budget revenue of 2165.8 million yuan, and the data of 2165.8 million yuan was accurate to ().
A. Billion quantile
7. As shown in the figure, it shows the sales statistics of three brands of color TVs in Hualian Department Store in a certain month. Then these two brands of color TV sets sold () A.50 sets B.65 sets C.75 sets D.95 sets that month.
8. The power of radiant energy released by the high-temperature nuclear fusion reaction of the sun is kilowatts, and only one in two billion reaches the earth. The power of auxiliary radiant energy reaching the earth is () kW. (expressed in scientific notation, with two significant figures reserved) A.B.C.D
9. Obana Xiaoli recently measured her height. The height of Xiaohua is about1.6m, and that of Xiaoli is about1.60m.. About their height, the correct statement is () A. Obana is as tall as Xiao Li. B.xiaohua is taller than Xiaoli. C. Xiaohua is shorter than Xiaoli. D. it is impossible to determine who is taller.
10. As shown in the figure, it is the result of a questionnaire survey of ninth grade 100 students. Among the students surveyed, () A.40 B.30 C.20 D. 10 are very interested in students' mathematics.
Second, fill in the blanks
1 1. The length of a microorganism is about 0.00000006 m, which is expressed as _ _ _ _ by scientific notation.
12.5 nm = _ _ _ m.
15. A middle school conducted a sample survey of 200 students in the whole school on "the main reasons for students' lack of sleep" and made the survey results into a fan-shaped statistical chart (pictured). As can be seen from the information in the chart, the main reason for students' lack of sleep is that _ _ _ _ _ students have too much homework.
16. As shown in the figure, it is a statistical chart of a family's annual expenditure, so the percentage of the family's education expenditure in the total annual expenditure is _ _ _ _ _ _ _.
3.20. In order to know the sales volume of a canned beverage in our store in the first half of the year, a store randomly investigated the daily sales volume of this beverage for 8 days. The results are as follows (listening): 75, 70, 85, 75, 60, 50, 80, 60.
(1) What is the average daily sales for these eight days? (The result is accurate to single digits)
(2) According to the calculation in (1), how many cans of this beverage can this store sell in the first half of the year (calculated by 18 1 day)? (The results are expressed by scientific notation, with two significant figures reserved. )
2 1. Among the 45 students in the seventh grade 1 class in a middle school, there are 5 students aged 12, 35 students aged 13, 4 students aged 14, 1 5. Find out the average age of the students in this class. (The result is accurate to one place. )
Verb (abbreviation of verb) 22. In order to know the reading situation of junior high school students in a certain area, the education department randomly investigated the number of extracurricular books read by 500 junior high school students in this area in one semester, and drew a statistical chart as shown in Figure 3-3- 12. Please answer the questions according to the information reflected in the statistical chart.
(1) Among these extracurricular books, which kind of books are read the most?
(2) How many extracurricular books do these 500 students read each semester on average? (accurate to 1 serving)
(3) If there are 20,000 junior high school students in this area, please estimate the total number of extracurricular books they read in one semester.
23. In order to understand the situation of the physical education test of the seventh grade students, a school takes the physical education test scores of the ninth grade students (1) as samples and makes statistics according to the four grades, and draws the statistical results into the following statistical chart. Please answer the following questions according to the information given in the chart:
(Description: Grade A: 90 ~100; Grade B: 75 to 89 points; Grade C: 60 to 74 points; Grade D: below 60 points)
(1) Please complete the bar chart;
(2) The percentage of D students in the sample is:
(3) If there are 500 students in the ninth grade of our school, please use this sample to estimate that the number of A-level and B-level students in the physical education examination is about 500.
The third chapter of the seventh grade of Beijing Normal University Edition refers to the answer to the data unit test questions in life.
I. 1. D2 . D3 . a4 . C5 . B6 . D7 . c8 . a9 . d 10 . b
Ii.11.6×10-7m12.5×10-913.648.01400/kloc-.
3. 17. Solution: Because 1 micron = 10-6 meters, the diameter of this pollen is about
40× 10-6m, that is, 4× 10-5m,1÷ (4×10-5) = 2.5×104 (granule).
A: This kind of pollen is 2.5× 104 grains, which can reach 1 meter.
18. Solution: 7800000 ÷ 750 =104000 =1.04×105 ≈1.0×105 (building
Answer: The teaching building in this project is about 1.0× 105.
19 reason: (1) Their accuracy is different: 1.7 is accurate to the tenth place; 1.70 accurate to 1%; 1.700 is accurate to one thousandth; (2) Their significant figures are also different: 1.7 has two significant figures; 1.70 has three significant figures; 1.700 has four significant numbers, so they are different.
4.20. Solution: (1) (75+70+85+75+60+50+80+60) ÷ 8 = 69.375 ≈ 69 (Listen) A: The average daily sales in these eight days is about 69.
(2) 69× 18 1 =12489 ≈1.2×104 (listening) A: It is expected that this store will sell181in the first half of the year.
2 1. solution: (12× 5+13× 35+14× 4+15×1) ÷ 45 = 586 ÷.
A: The average age of the students in this class is about 13 years old.
Verb (abbreviation of verb) 22. Solution: (1) Among these extracurricular books, novels are read the most.
(2) (2.0+3.5+6.4+8.4+2.4+5.5) ×100 ÷ 500 = 5.64 ≈ 6 (Ben).
A: These 500 students read about 6 extra-curricular books every semester.
(3)20000×6= 120000 (copies) or 2×6= 12 (ten thousand copies).
A: The total number of extracurricular books they read in a semester is 654.38+0.2 million.
23.( 1) The bar chart is supplemented correctly;
(2) 10﹪; (3)330.
Probability unit test questions
First of all, fill in patiently.
1, the probability of inevitable events is _ _ _ _ _ _ _. That is, P (inevitable event) = _ _ _ _ _ _ _ _, and the probability of an impossible event is _ _ _ _ _ _ _ _ _, that is, P (impossible event) = _ _ _ _ _ _ _ _, and if A is an uncertain event, then _ _ _ _ P. ___________.
2. Choose one of the ten natural numbers from 0 to 9, and the probability that this number is less than 5 is _ _ _ _ _ _ _.
3. A math interest group, 4 girls and 2 boys. The probability that a person is randomly appointed as the team leader and happens to be a girl is _ _ _ _ _ _ _.
There are three red balls and two white balls in the box. Everything is the same except the color. The probability that any ball is a red ball is _ _ _ _ _ _ _.
5. The probability of even dice (six faces are marked with 1 to 6 points respectively) with an odd number of points in the upward area is _ _ _ _ _ _ _.
6. If you randomly draw a card from a playing card without "Big King and Little King", the probability of drawing spades is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
7. As shown in Figure 9- 1, the turntable can rotate freely. After the turntable stops rotating, the probability that the pointer points to 3 is _ _ _ _ _ _ _ _.
Figure 10- 1
8. As shown in 10- 1, it is a square Fei Biao game board, throwing a Fei Biao, with p (hitting the white area) = _ _ _ _ _, and p (hitting the black area) = _ _ _ _.
9 If you toss an even coin twice at will, the probability that it is the same face twice is _ _ _ _ _ _ _ _.
10. The probability of randomly selecting a ball from an opaque pocket is that there are three white balls in the bag, so the total number of balls in the bag is _ _ _ _ _ _ _.
1 1, learn to stand in a row, where the probability of Xiao Ming standing in the middle is _ _ _ _ _, and the probability of standing at both ends is _ _ _ _.
12. Choose one of the male doctors and seven female doctors as the captain of the medical team. The probability of being a male doctor is _ _ _ _ _, and the probability of being a female doctor is _ _ _ _.
13. A scientific expedition has three old players and three new players. When investigating a cave, the probability of choosing one of them to investigate is _ _ _ _.
14, Xiao Ming and Xiao Liang each write a greeting card, get together first, and then get a greeting card, so the probability that they get a greeting card from each other is _ _ _ _.
15, and mark the probability of the following events in the chart:
Figure 4-2 1
(1) Objects dropped from a height will fall to the ground;
(2) Take out any one from the bag containing five red balls, and the ball taken out is a white ball;
(3) The moon revolves around the earth;
(4) Take out any ball from the pocket containing five red balls and two white balls, which happens to be a red ball (these balls are exactly the same except the color);
(5) Three players draw lots to decide the competition order (1, 2 and 3 draw lots respectively, and 1 draws lots.
16, the fairness of the game refers to the probability that both sides will win.
17, there is a group of cards with the same color and size, which are marked with the numbers 0- 10 and1/respectively. Now, reverse the order of reciting them at will, and then take another group after putting them away.
(1)P (to two digits) =; (2)P (to one digit) =;
(3)P (the number extracted is a multiple of 2) =; (4)P (the extracted number is greater than10) =;
Second, you must be able to choose 1. The following events are impossible. The event is ()
It will rain tomorrow. B, Xiao Ming's math score is 99 c, the sum of a number and its inverse is 0 D, and there will be 367 days next year.
2. The probability of an event cannot be () a, 0 B, c, 1 D,
3. Choose any number from 1 to 9, and the probability that this number is even is () a, 0 B, 1 C, d,
4. Xiaogang threw a coin and threw it face up nine times in a row. When he throws a coin for the tenth time, the probability of facing up is ()
a、0 B、 1 C、D、
In the dark, Xiao Ming randomly selected a key and used it to open the door. The following statement is correct ().
A. the possibility of opening the door is greater than the possibility of not opening it. B. the possibility of not opening the door is greater than the possibility of opening the door.
C. the possibility of opening the door is equal to the possibility of not opening the door D. uncertainty
6. 100 balls of the same size, numbered from 1 to 100. The probability of finding a ball with a multiple of 5 is ().
A, b, c, d, all of the above are wrong.
7. A store held a prize-winning sales activity. The method is as follows: Anyone who buys more than 100 yuan will get a lottery ticket, and each 10000 lottery ticket is a lottery unit, with a grand prize 1 ticket, 50 first prizes and 50 second prizes 100 tickets, so buy 65438+.
A, B, C, D,
There are 50 balls in a pocket, including 20 white balls, 20 red balls, and the rest are basketball. If you touch any ball, the probability that it is not a white ball is ().
A, B, C, D,
9. In a lottery, if the probability of winning is 0.34, then the probability of not winning is () a, 0.34 B, 0. 17 C, 0.66 D, 0.76.
10, use 1, 2, 3 to form a three-digit number, and the probability that this number is even is () a, b, c, d,
1 1. When both parties play a game and toss two identical coins at the same time, it is agreed that Party A with the same face up wins and Party B with the opposite face up wins, then the game is beneficial to both parties ().
A, fair B, good for A, good for B, uncertain fair.
12, Xiao Wei puts a red ball and b white balls in a bag. There is no difference between them except color. Xiaohong randomly draws a ball from his bag and asks him if the ball he draws is a red ball. The probability is () a, b, c, d,
13, turn the dial below, and the maximum probability that the pointer points to the red area is ().
14 a box of 24 bulbs, the qualified rate is 80%. One of the defective probabilities is () a, b, 80% C, d, 1.
Third, do a careful calculation.
1, as shown in figure 10-2, is a freely rotating turntable (divided into eight parts). When the pointer points to the shaded area, A wins.
When the pointer points to the blank area, B wins. Do you think this game is fair to both sides? Why?
The weatherman said: The probability of rain tomorrow is 98%, so will it rain tomorrow? Will you take an umbrella to school tomorrow? Why?
Please design a game of touching the ball, so that P (touching the red ball) =, P (touching the white ball) =, indicating the design scheme.
4. What is the probability that a coin will be thrown three times in a row?
Fourth, observe and think.
The picture shows Fang Fang's freely rotating turntable with 10 rational number written on it. Think about it, what is the probability of going to the following numbers?
(1) to a positive number;
(2) positive integer;
(3) Convert to a number whose absolute value is less than 6;
(4) Numbers whose absolute value is greater than or equal to 8.
Verbs (short for verb) solve problems.
(1) Both parties roll the dice at the same time.
(2) Find the product of two upward numbers.
(3) If the product is even, A will get 1, otherwise B will get 1.
(4) Is this game fair to both sides? Why?
(5) If it is unfair, can the rules be revised to make it fair? How many ways can you think of?
1. Choose carefully. 1. The following operation is correct: (). A.A5+A5 = A 10b。 A6× A4 = A24C。 A0 ÷ A- 1 = A D. (A2) 3 = A5。
2. The following is correct: (a) A. (a-b) 2 = A2-B2B. (a+b) (a-b) = A2-B2C。 (a+b) 2 = A2+B2D。 (a+b) 2 = A2+AB+B2。
4. If the complementary angle of an angle is 130, then the degree of the complementary angle of this angle is ().
A.20 B. 40 C . 70 D . 130
5. Put 8 red balls and 2 white balls in an opaque bag, and the probability that Xiao Ming randomly finds out that one ball is a white ball is ().
A.0.2; B. 0.25C. 0.4D. 0.8
7. The following statements are correct: (a) The internal dislocation angles are equal; (b) The internal angles are complementary; (c) The complementary angles of the same angle are equal; (d) Isoangles are diagonal.
8. With three of the four line segments with lengths of 3, 5, 7 and 10 as sides, the number of triangles can be () a.1b.2c.3d.4..
9. As shown in figure 1, among the following conditions, the one that can determine DE∑AC is ().
A.∠EDC =∠EFC b∠AFE =∠ACD c∠ 1 =∠2d∠3 =∠4
10. known XA = 3, XB = 5, X2A-B = () A.B.C.D. 1.
Second, fill in 1 1 carefully. The probability of inevitable events is: _ _ _ _ _ _ _ _ _ _ _.
12. As shown in Figure 2, line A and line B are cut by line C, if a//b, ∠ 1 = 60, ∠ 2 = _ _ _ _ _.
14. A butterfly flies in the air, and then randomly falls in the square as shown in Figure 3 (each square
The squares are exactly the same color), then the probability that the butterfly stops in the white square is.
15. If the sum of 2xm+5y2 and x3yn is a monomial, then nm.
16. Observe the following types: (1) 42-12 = 3× 5; (2)52-22=3×7; (3)62-32=3×9; ………
Then the nth equation (n is a positive integer) is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
17. A person starts from place A, walks to place B along the direction of 50 east north, and then starts from place B along 20 west north.
If you go to C, the degree of ∠ABC is _ _ _ _ _ _ _.
18. The included angle between bisectors of two acute angles of a right triangle is _ _ _ _ _ _ _ _ _ _ _.
Third, complete the following questions
19. Calculate (1) (4x3y-6x2y2+2xy) ÷ (2xy) (2) [82009× (-0.125) 2010-2-.
(3) Simplify and then evaluate (a+b) (a-b)-(a-b) 2+2b2, where a = 2 and b =
20. As shown in figure ∠ 1 =∠2∠3 = 50, the number of times to find ∠4.
2 1. The following is the statistical chart of chicken raising in a chicken farm in our county from 2004 to 2009:
(1) What information can you get from the picture?
(2) Raising tens of thousands of chickens in six years?
(3) Are all the data obtained in question (2) accurate?
(4) What are the advantages of this chart compared with bar charts?
22. On the May 4th Youth Day, the school held a cultural performance. Xiaoli and Xiao Fang both want to be presenters, but now there is only one place. Xiaoli came up with an idea. She divided a turntable (homogeneous) into six parts, as shown in the figure. The rules of the game are: turn the turntable at will, if the pointer points to 3, Xiaoli will leave; If the pointer points to 2, go to Xiao Fang. If you were Xiao Fang, would you agree to this method? Why?
23. Drawing with a ruler as required: In the following figure, supplementary drawing is made:
(1) Make ∠ DCP = ∠ DAB on the right side of AD;
(2) Take a point E on the ray CP to make Ce = AB and connect BE.
(3) What is the graph with points A, B, C and E as its vertices?
24.( 1) Comparing the shadow areas of the left and right graphs, we can get the multiplication formula _ _ _ _ _ _ _ _ _ _ _ (expressed by a formula).
(2) Use the formula you get to calculate
(a+2 B- c)(a-2 B- c)
The seventh grade mathematics mid-term exam reference answer.
First of all, choose one carefully. (There are 10 small questions in this big question, with 3 points for each small question and 30 points for * * *. )
1~5 CBCBA 6~ 10 DCBDC
Two. Fill in the blanks. (There are 8 small questions in this big question, each with 3 points and * * * 24 points)
1 1. 1; 12.60 ; 13.-9 ; 14.； 15.； 16(n+3)2-N2 = 3(2n+3)； 17.11kloc-0/8.45 or 135.
Three, complete the following questions (66 points)
19. Calculation (3 small questions in this question (1)(2) 5 points for each question, (3) 6 points for the question, *** 16 points)
( 1)(4x3y-6x2y 2+2xy)÷(2xy)(2)[82009×(-0. 125)20 10-2-3]×(π-3. 14)0
Solution formula = 2x2-3xy+ 1...5 decomposition formula = [(8× 0.125) 2009× 0.125-0.125 ]×1.
= (0.125-0.125) ×1= 0 ... 5 points.
(3) Simplify and then evaluate (a+b) (a-b)-(a-b) 2+2b2, where a = 2 and b =
Solution formula = A2-B2-(A2-2ab+B2)+2b2 = A2-B2-A2+2ab-B2)+2b2 = 2ab ...................... 4 points.
When a = 2 and b =, the original formula = 2× 2× () =-2 .......................... 6 points.
20. (6 points for this question) ∠ 4 = 130...............6 points.
2 1. (8 points in this question) Solution: (1) In 2004, the chicken farm raised 20,000 chickens. (The answer is not unique) ... 2 points.
(2) Feeding 220,000 animals in * * * for six years, and ............................. scored 4 points.
(3) divisor ........................................................................................................................................................................
(4) More vivid and vivid than bar charts. (If it meets the requirements, it will be ... 8 points.
22. (8 points for this question) Solution: I will not agree with ... 3 points.
Because there are two 3' s and a 2' s in the turntable, it means that the possibility of Xiaoli's going is,
Ben and Xiaoli may go, so the game is unfair ... 8 points.
23. (6 points for this question) (1) Omit (2) Omit ... 4 points; (3) parallelogram ... 6 points
24. (8 points for this question) (1) =)...2 points.
(2) The formula = [(a-c)+2b] [(a-c)-2b] = (a-c) 2-(2b) 2 = A2-2ac+C2-4b2 ... 8 points.
25. (This question is14) (1) ≈1= ≈ 2 ...1,reason: omitted ... 4 (2) ∠1+∠. (. Then these two angles are equal or complementary. ............................................................................................................................................ ..... (4) 30, 30 or 70,110 .............14 points.