1. Fill in the blank: (2.5× 12=30)
1, a number consists of three 10000, eight 100, four 1 and five 0.00 1. This number is pronounced _ _ _ _ _ _ _.
2. A three-digit number. Every bit is a, b and c, which are not equal to each other and are not zero. Rank six different three-digit numbers with a, b and c. If the sum of these six three digits is 2442, then the largest of these six three digits is _ _ _ _ _ _ _.
3. Arrange the natural number 1 ~ 100 in the following table:
In this table, two rows of six numbers are framed by rectangles (the rectangles in the figure are for illustration only). If the sum of the six numbers in the box is 423, find the smallest number among the six numbers is _ _ _ _ _ _ _.
4.2033 Divided by the prime number A, the quotient is two digits, the remainder is 35, and the prime number A is _ _ _ _ _ _ _.
5. The greatest common divisor of two numbers is 15, which is the least common multiple of these two numbers. It is known that one number is 30 and the other number is _ _ _ _ _ _ _.
6, 5 tons of coal is divided into 7 piles on average, each pile accounts for 5 tons of coal _ _ _ _ _ _.
7. With two triangles identical to the one on the right, you can spell out several different parallelograms, the longest of which is _ _ _ _ _ _ _ cm.
8. Two circles o 1m and O2 with diameters of 1m and 3750m respectively are now lengthened by1m respectively. Q:
A) Which circle's perimeter has increased by _ _ _ _ _ _ _ _;
B) Which circle has increased its area by _ _ _ _ _ _ _.
9. Draw a diagonal line AB and AC on the top and side of a cube (as shown in the figure). Think about it. The included angle between AB and AC is _ _ _ _ _ _ _.
10, the shaded part in the figure (as shown in the figure) can just make a rectangular iron sheet into a cylindrical oil drum (the joint is ignored), and the volume of this oil drum is _ _ _ _ _ _ _ _ _. (Unit: decimeter)
1 1 As shown in the figure, it is the statistical chart of the sixth grade students in Yucai Primary School participating in the activity group. It is known that the number of people participating in sports group is 264, and the number of people participating in entertainment group is _ _ _ _ _ _.
2. Judgment: (1×4=4)
1, 5. Keep two decimal places about 5.90. ( )
2. The product of the maximum approximate number and the minimum multiple of a number is the square of this number. ( )
There is a simplest score, the product of numerator and denominator is 36, and the highest score is. ( )
4. The upper and lower bottoms of trapezoid are unchanged, and its area is proportional to its height. ( )
Choose the correct answer number and fill it in the brackets. ( 1.5×4=6)
1, if the difference between two digits is 30, which of the following statements may be correct ().
A. the sum of these two numbers is 57.
B. The sum of the four numbers of these two numbers is 19.
C The sum of the four numbers of these two numbers is 14.
2. The numerator and denominator of the simplest fraction have () common divisors.
A.0b.1c. Not sure.
3. The height of either side of the triangle is the symmetry axis, and this triangle is ().
A. isosceles triangle B. isosceles right triangle C. equilateral triangle
4. () A circle with a radius of 20cm can be cut on a rectangular triple splint with a length of 2m and a width of1.4m..
17
Fourth, calculation should be simplified if it can be simplified. (3×4= 12)
999×222+333×334
5. The perimeter of the parallelogram ABCD is 102 cm, and the height of the parallelogram ABCD is14 cm. BC is the base and the height is 20 cm. Find the area of parallelogram. (6× 1=6 points)
Application of intransitive verbs: (6×6=36)
1. When there was a water leakage accident on the ship, two pumps were installed immediately to pump water out, and 600 barrels of water had leaked. One pump pumps 65,438+08 barrels per minute, and the other pump pumps 65,438+04 barrels per minute. Pumping for 50 minutes, how many barrels of water leak per minute? (Answer in two ways)
2. Mathematical problems about toothpaste:
(1) Xiaohong goes to buy toothpaste. The price of toothpaste of two specifications of the same brand is as follows: 120g for each 4.5 yuan, 160g for each 5.6 yuan. Which size of toothpaste is more economical for him to buy? Please help me calculate? (2 points)
(2) Toothpaste outlet diameter is 5 mm, and Xiaohong squeezes out toothpaste every time she brushes her teeth 1 cm. This toothpaste can be used for 36 times. This brand of toothpaste has a new package, but the outlet diameter has been changed to 6 mm Xiaohong still squeezes out 1 cm toothpaste every time as usual. How many times can I use this toothpaste? (3 points) What do you think after the calculation? ( 1)
3. At the weekend, five machines in the workshop broke down at the same time, and the repair time from the first machine to the fifth machine was 15, 8, 29, 7, 10 minutes in turn. Every machine stops production 1 min, resulting in the loss of 5 yuan's money. How to arrange the repair sequence to minimize the economic loss? (2 points) What is the minimum loss? (4 points)
A railway inspector was working in the tunnel when he suddenly heard a train coming towards the tunnel. He immediately looked at the road signs in the tunnel and knew that the distance between him and the entrance of the tunnel at the end where the train was coming was the full length of the tunnel. According to his experience, no matter which direction he runs at the fastest speed, when the train arrives at him, it just leaves the tunnel. If the speed of the train is 70 kilometers per hour, how many kilometers does the inspector run per hour?
5. If Party A works together, it will be completed in 12 days, one day for Party A and three days for Party B. If Party B works alone, how many days will it take?
6. Xinchang tea shop sent a batch of first-class tea and second-class tea, of which the number of second-class tea is first-class tea. The purchase price of first-class tea is 24.8 yuan, and that of second-class tea is 16 yuan. Now it is sold at a price increase of 12.5%. When the second-class tea is sold out and the first-class tea is left, * * * will make a profit in 460 yuan. How many Jin of first-class tea should I bring?
Seven, operation questions. (6× 1=6)
Make an open box with a length of 30 cm and a width of 20 cm (as shown in the figure) and a height of 5 cm.
A) Drawing: How to cut materials, mark (2 points) on the drawing, and calculate the volume of the box. (2 points)
B) Think about it: Can you make the box bigger with this iron sheet? If possible, please draw it on the second picture. (2 points)
Eight, selected as a topic.
1, fill in the blank: (4×3= 12)
A) Director Wang of the factory should send an urgent notice to 975 people in the dormitory area. Assuming telephone contact, it takes 1 person to inform 1 minute, but it takes 7 minutes to inform 60 people face to face. It will take at least () minutes for Director Wang to inform him to finish it in the shortest time.
B) Xiao Ming has 8 yuan money, which he is going to use to buy drinks. In order to recycle old beverage bottles and protect the environment, beverage companies stipulate that three beverage bottles can be exchanged 1 bottle. The price of this kind of drink is 1 yuan per bottle, but the most you can drink is () bottles with this 8 yuan money.
C) Calculate1+0+21= 22, 22+22+23+24+24 = ().
2. Application questions. (8× 1=8)
There are 9 extracurricular interest groups in a school. The number of each group is as follows. One afternoon, eight groups of students attended a math class or a composition lecture. Among them, the number of people listening to math class is the number of people listening to composition class, and the remaining group goes out for activities. What is this outing group?
Group 123456789
Number 579101131417 23
Reference answer:
One,
1, 30804.005
2、82 1
3、66
4、37
5、45
6、
7、26
8, a) same b)O2
9、60
10, 100.48 cubic decimeter
1 1、 132
Second,
1、× 2、√ 3、× 4、√
Third,
1、B 2、B 3、C 4、C
Fourth,
27 333000 10.2 50
Five,
Six,
1, [(18+14) × 50-600] ÷ 50 = 20 (barrel)
Or: Solution: Assuming that X barrels of water leak every minute,
( 18+ 14)×50-50x=600,x=20
2. (1) 4.5 ÷ 120 = 0.0375 (yuan), and 5.6 ÷ 160 = 0.035 (yuan).
0.035 yuan < 0.0375 yuan,
Therefore, it is cost-effective to buy 160g per 5.6 yuan.
⑵ 1cm= 10mm,
3, 7+(7+8)+(7+8+ 10)+(7+8+ 10+ 15)+(7+8+ 10+ 15+29) =
4. Solution: Let the total length of the tunnel be S kilometers and the running speed of the road patrol be X kilometers/hour.
Then:
5、
6. Solution: Assuming that the first-class tea has X kilograms, then the second-class tea does.
.
Seven,
A) Cut a square with a side length of 5cm at the four corners.
(30-5×2)×(20-5×2)×5 = 1000(cm3)
B) The volume at this time is: v = (30-5) × (5+5 )× 5 = 1250 (cubic centimeter).
Eight,
1、a) 10
b) 12
c) 1023
2、
This outgoing group is the fifth group.