1. Think carefully and fill in the blanks (20 points)
1. The city's total industrial and agricultural output value in 2001 was 69580070000 yuan, pronounced as ( ), and rounded to the nearest hundred million was recorded as ( ) billion yuan.
2. Saw a 3-meter-long wire into 4 sections, each section is the length of the wire, and each section is ( ) meters long.
3. Xiao Ming got home from school at 5 o'clock in the afternoon and did his homework immediately. The homework was completed at 5:30. From the time he got home from school and finished his homework, the hour hand rotated ( ) degrees on the clock face and the minute hand rotated ( ) degrees on the clock face.
4.3.6 meters = ( ) centimeters, 4500 kilograms = ( ) tons
3 hours and 45 minutes = ( ) hours, 540 square meters = ( ) hectares
The pattern of the number in the column you filled in is ( ).
5. Fill in the numbers in ( ) below so that there is a certain pattern in this series of numbers.
3, 5, 7, ( ), ( ), ( ); the pattern of the numbers you fill in is ( ).
6． ( )÷20= =0.4=( )%=2: ( )
7. Guangming Primary School compiles student IDs for students, setting the mantissa 1 for boys and 0 for girls. 9913510 means "Student No. 51 of Class 3, Grade 1, who enrolled in 1999, is a girl." Then 9731041 means that the student is a girl. The student enrolled in ( ) year is ( ) grade ( ) class, the student number is ( ), and the student is ( ).
8. Use 6 squares with a side length of 2 cm to form a rectangle. The perimeter of the rectangle may be ( ) cm, and the area at this time is ( ) square centimeters.
9． The base areas of the cylinder and the cone are equal, and the height of the cylinder is the cone. If the volume of the cone is 24 cubic centimeters, then the volume of the cylinder is (). At most ( ) edges of a rectangle are equal.
10. Xiaodong's home is 2.5 kilometers away from the school, and the distance between Xiaoming's home and the school is Xiaodong's. The farthest distance between Xiaodong's and Xiaoming's families is ( ) kilometers, and the closest distance is ( ) kilometers.
2. Compare repeatedly and choose carefully (choose the correct answer number and fill in the brackets, 6 points)
1. If a÷b=7, then the correct statement among the following is ( )
①a is a multiple of b ②a is divisible by b ③a is 7 times of b ④The greatest common divisor of a and b is 7
2． China won the right to host the 2008 Olympic Games. This year is ( ).
①A normal year ②Leap year ③Neither a normal year nor a leap year
3. A parallelogram has two adjacent sides whose lengths are 5 cm and 4 cm respectively. The height of one of the sides is 4.8 cm. The area of ??this parallelogram is ( ).
①24 square meters ②19.2 square centimeters ③Both of the above answers are correct ④Both of the above answers are incorrect
4. The city government wants to build a rectangular square 600 meters long and 400 meters wide. It is drawn on a rectangular piece of paper 20 cm long and 16 cm wide. Which of the following scales is more appropriate ( ).
①1:2500 ②1:3000 ③1:4000 ④1:4000000
5. A and B have two ropes of the same length. If A cuts off its length and B cuts off meters, the length relationship of the remaining ropes is ( ).
①A is longer than B ②A is shorter than B ③Equal ④Cannot be compared
6. If everyone walks at the same speed, it takes 3 days for 6 people to go from A to B, and ( ) days for 12 people to go from A to B.
①3 days ②1.5 days ③6 days
3. Careful consideration and careful analysis (6 points)
1. If xy=k＋, when k is constant, x and y are not proportional. ( )
2． For two proper fractions with the same numerator, the fraction with larger fraction units is larger. ( )
3. The ratio of the circumference to the diameter of a large circle is greater than the ratio of the circumference to the diameter of a small circle. ( )
4． Equation 2x=14 has the same solution as Equation 27-2x=13.
( )
5. After drawing several straight lines on a piece of paper, I found that if they are not parallel, they will definitely intersect. ( )
6． In sugar water containing 50% sugar, add 5 grams of sugar and 10 grams of water at the same time. At this time, the sugar content of the sugar water remains unchanged. ( )
4. Be careful and thoughtful (26 points)
1. Write the number directly. (4 points)
0.38+1.2= × = 1÷ = 4.8÷0.8=
64+36= 17×5= 0.92= - × =
2. Calculate. (Those who can do simple calculations should do simple calculations, 12 points)
349×101-349 306×35-4080÷24 7.09-2.88-3.12
(0.25+11.5÷4.6 )×3.4 5 - ×2- ÷ ( - )÷( × )
3. Find the unknown number x. (4 points)
= 7x+12× =20
4. List comprehensive calculations or equations. (6 points)
①How much more is the sum of 10 than 1? ② 20% of a number is 2.4 more than 20. What is this number?
5. Hands-on operation (6 points)
1. Below and in the block diagram, draw three shapes that have the same area as the known trapezoid but have different shapes.
2. The figure below is a plan drawing of a rectangular piece of grass with a length of meters and a width of meters drawn according to the prescribed scale. However, the distance indicated is wrong. Please measure and make necessary calculations first, and then draw the correct picture below. .
6. Use knowledge to solve problems (36 points)
1. For the following questions, only formulas are listed, no calculations are performed. (6 points)
(1) A cylindrical can with a height of 3 decimeters and a bottom radius of 0.8 decimeters has a label paper on the side. What is the area of ??the label paper?
(2) The school assigned the task of planting a batch of trees to the fourth, fifth and sixth grades according to 3:4:5. The fifth grade planted 40 trees. How many trees are there in this batch? tree?
(3) There are 120 boys in the fifth grade, which is more than the number of girls. How many girls are there in the fifth grade?
2. The following table is the monthly fertilizer production statistics of Xinqiao Fertilizer Factory in the second half of last year:
Monthly total 7 8 9 10 11 12
Output (tons) 2000 2300 2500 2700 2500 300
(1) Complete the total and calculate the average number of tons of fertilizer produced by the factory per month in the second half of last year? (2 points)
(2) What percentage does the fourth quarter increase production compared with the third quarter? (2 points)
3. Xiaoqiang is a huge basketball fan. Whenever someone asks about his height, he always proudly says: "The little giant Yao Ming is 2.22 meters tall. My height is 0.4 meters higher than his. Now you should know my height." Are you ready? "How tall is Xiaoqiang? (5 points)
4. A car travels 104 kilometers in 4 hours. According to this calculation, it takes 6 hours to travel from point A to point B. How many kilometers are there between places A and B? (Use proportion to solve) (5 points)
5. There is an approximately conical sand pile on a construction site, with a base circumference of 9.42 meters and a height of about 2 meters. If each cubic meter of sand weighs 2 tons, how many tons does this pile of sand weigh? (5 points)
6. The annual interest rate on bank deposits is 2.25%, and the interest tax is deducted at a tax rate of 20%. Xiaohong has 500 yuan as a new year's money. How much yuan can she get from principal and interest after depositing in the bank for 2 years? (5 points)
7. Xiaohong is a little statistics fan. After counting the number of people in Class 5① and Class 5②, he told his father: "The number of people in our two classes is exactly the same. There are more boys in Class 5① than there are girls in Class 5②. 20% less. The ratio of the number of boys in Class 5② to the number of girls in Class 5① is 5:7. There are 30 girls in Class 5. Do you know how many people there are in these two classes? "Can you help Xiaohong?" Dad, can you calculate the total number of people in these two classes? (6 points)