The secret of learning a lot is not to learn a lot at once. The following are the answers to winter vacation homework's questions in the sixth grade mathematics of 20 17 primary school. Let's have a look.
First, multiple-choice questions (this big question * * *, 6 questions, 2 points for each question, full score 12 points)
1. The following formula is ()
A.0.6？ 0.3=2; B. 22？ 7=3 1;
C.2? 1=2; D. 8？ 16=0.5.
2. Which of the three digits composed of1,5 and 0 can be divisible by both 2 and 5? ( )
A. 1 B. 2 C. 3 D.4
3. Which of the following statements is correct? ( )
A. the composite number is even. Two numbers of coprime must be prime numbers.
C. A composite number has at least two factors. Positive integers can be even or odd.
4. All are positive integers. If, then the least common multiple of is ()
A.B. C. D。
5. Which of the following scores is the simplest score? ( )
A.2 B.3 C.4 D.5
6. Xiaoming doubled a one-meter-long rope, so what is the length of each rope? ( )
Doctor of Medicine, ABC
Fill in the blanks (this big question * * 14, 2 points for each question, 28 points for * *).
7. Factorization factor:
8. In a positive integer, it is the smallest prime number and the smallest composite number, so = _ _ _ _ _ _;
9. As we all know, the greatest common factor of sum is 30, so = _ _ _ _ _.
The prime factor of 10. It's _ _ _ _ _ _ _
1 1. Among all the factors of 10, the number of coprime is correct.
12. The sum of the maximum factor and the minimum multiple of an integer is, and this number is
13. (expressed in fractions).
14. As shown in the figure, if there is a point P on the number axis, the number represented by this point P is _ _ _ _ _ _ _ _ _;
15. Expressed by the simplest fraction, minutes are _ _ _ _ _ _ _ of an hour.
16. Fill in the appropriate numbers in brackets to make the equation hold:
17. The school choir originally had 18 male players and 22 female players, and also recruited two male players to rehearse. At this time, male players account for _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _)
18. If you use the sum of all factors, for example, then
19. The sum of the numerator and denominator of the simplest fraction is, and if the difference is, the fraction is.
20. As shown in the figure, three rectangles with the same size are put together to form a big rectangle.
Divide the second rectangle into two parts and then divide the third rectangle into two parts.
3 copies, then the area of the shaded part in the picture is a large rectangular area.
Three, short answer questions (this big question ***3 questions, each question 6 points, full mark 18 points)
2 1. Fill in the appropriate numbers in the circle below.
22. Decomposition of prime factors by short division:
( 1) (2)
23. Find the greatest common factor and the least common multiple by short division.
(1) 48 and 64 (2)72 and 108
4. Answer: (There are 7 questions in this big question, with 6 points for each question, out of 42 points).
24. As shown in the figure, what is the area of the shaded part in the right-angled trapezoid?
25. The statistics of 36 students in a class of experimental middle school participating in extracurricular interest groups are as follows. Please answer the following questions according to the data in the table:
The name of the group in the new extracurricular area: football, basketball, literature society, three-mode art computer animation
Number of participants 3 5 10 6
(1) So how many people join the extracurricular interest groups in physical education?
(2) If there are four people participating in the fine arts, how many people will participate in the literary society?
26. Xiaoming 13 years old, 26 years younger than his mother. How old is Xiaoming this year? When Xiao Ming's age doubles, how many times will Xiao Ming be his mother's age?
27. Cut a rectangular piece of paper with a length of 72 cm and a width of 42 cm into a square piece of paper with the same size. There is no redundancy. What is the minimum number of squares for paper cutting?
28. Chongming Dongping National Forest Park has a row of small trees. The distance from the first tree to the last tree is 900 meters. The original 4-meter-long small tree will be changed to 6-meter-long one. How many small trees should not be moved?
29. In order to celebrate the National Day, Nanmen Hualian Supermarket is going to use two kinds of decorative lights at the entrance, changing one color every 9 minutes and one color every half hour. At night, both decorative lights are used at 18 o'clock sharp.
(1) How often do two decorative lights change color at the same time?
(2) During the festival, the supermarket closes at 22 o'clock in the evening. When will these two decorative lights change color at the same time during the festival?
30. The fraction with the molecule 1 is called the unit fraction. As early as 3000 years ago, the ancient Egyptians used unit fractions to write and calculate. It is an old and meaningful problem to divide a score by the sum of several different unit scores. For example:
(1) Divide the sum of the scores by the sum of the scores of two different units (4 points).
(2) In the above example, because, therefore, it can be written as the sum of three different unit scores. According to this idea, it can also be written as the sum of four or even five different unit scores. According to this idea, what is the sum of two or more different unit scores that can be written by exploring scores? (Write one correctly and get one point, out of 2 points)
Winter vacation homework's answer
First, multiple-choice questions (this big question * * *, 6 questions, 2 points for each question, full score 12 points)
1、C 2、B 3、D 4、B 5、B 6、C
II. Fill in the blanks (this big question * * 14, 2 points for each question, 28 points for * *).
7.8.6 9.5 10.2,2,3,3 1 1.4 12.64
13. 14. 15. 16. 1 17.
18. 13 19.20.
Three, short answer questions (this big question ***3 questions, each question 6 points, full mark 18 points)
2 1、
22、( 1) (2)
23.( 1) greatest common factor 16 least common multiple 192
(2) Maximum common factor 36 Minimum common multiple 2 16
4. Answer: (There are 7 questions in this big question, with 6 points for each question, out of 42 points).
24、 25、( 1) (2)
26, (1) (2) 27,84 sheets.
28 or 76 trees
29, (1)90 minutes (2) 19: 30 2 1: 00
30、( 1)(2)
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