First, fill in the blanks.
1, find the law: 1, 2, 4, 7, 1 1, (), 22, 29, (), 46.
2, an even number, the sum of the numbers on each digit is 24, and the minimum number is ().
A shopping center buys three kinds of balls: basketball, volleyball and football. Basketball accounts for, volleyball accounts for (χ is a natural number), and football accounts for 60. There are () three kinds of balls.
4. Can you handle this information?
Information (1): It is estimated that the world population will reach 637930000 in 20 10 and 9300000 in 2050.
Data (2): Last year, the national afforestation area reached 6.3 million hectares.
Information (3): The total mass of 50 billion euros coins is 239,200 tons.
Data (4): The equatorial circumference of the earth is 4075.69 kilometers.
(1) Rewrite the world population to "100 million", which will be () billion in 20 10 and () billion in 2050.
(2) The mantissa after omitting "ten thousand" from the total mass of euro coins is about () tons.
(3) If you use the circumference of the earth's equator to go around the 400-meter runway, you can go around ().
(4) Last year, the afforestation area increased by 5% over the previous year, and the afforestation area last year was () million hectares.
5. The degree ratio of three internal angles of a triangle is 1: 1: 2, and the maximum internal angle of this triangle is () degrees. If the short side is 5 cm long, the area of this triangle is () square cm.
6. Put three rectangles 7 cm long and 2 cm wide into a big rectangle, and the circumference of the big rectangle is () cm or () cm.
Choose the correct serial number and write it in parentheses.
1, there are four statements about the judgment of positive and negative proportion:
(1) For the same kind of brick floor, the paving area is directly proportional to the number of blocks used.
(2) Xiaoming's average distance per minute from home to school is inversely proportional to the time spent.
The circumference of a square is out of proportion to its side length.
The area of a circle is out of proportion to its radius.
The correct statement is ().
a、①②③ B、①②④ C、①③④ D、②③④
2, if the weight of coal pile A is less than the weight of coal pile B, then the following statement is correct ().
① The weight of pile B is 20% heavier than that of pile A. ..
(2) The weight ratio of pile A to pile B is 6∶7.
(3) If it is taken out from the B pile and given to the A pile, the weight of the two piles of coal is the same.
④ Pile A accounts for the total weight of two piles of coal.
a、①②③ B、①②④ C、①③④ D、②③④
3. A cuboid can be cut into three identical cubes, and the surface area of each cube after cutting is 12 cm2, so the original surface area of this cuboid is () cm2.
A, 36 B, 30 C, 28 D, 24
4. The length, width and height of a cuboid are a meter, b meter and h meter respectively. If the height is increased by 2 meters, the volume of the new cuboid will increase ().
a，2ab m3 b，2abh m3 c，(h+2) ab m3 d，(abh+22) m3。
Third, judge the question.
1, which of the following are equations? Which ones are not? Draw "√" in brackets for the equation and "×" for the equation.
2χ+5()χ= 1()5+2y = 0()6χ+8 > 19()
a+b = b+ a()6χ= 10()50+50 = 100()χ-3 > 10()
2. If the numerator and denominator of a fraction add the same number (not zero), then the score obtained is less than the original score. ( )
3. Every year contains 365 days. ( )
4. When the radius of the cylinder bottom surface is increased by 2 times, the area of the bottom surface circle is increased by 4 times. ( )
Fourth, the application problem.
1. Three kinds of fruit trees were planted in the comprehensive practice base of a school. The sum of pear trees and apple trees is 180, and the ratio of apple trees to other two trees is 1: 5. How many of these three kinds of fruit trees are there?
2. Please use the glass in the picture below as a rectangular fish tank without a cover. (1) You can choose five different ways to make a fish tank? (2) Which pieces of glass is the largest fish tank made of? Write the serial numbers of these glass sheets. (3) Ignore the thickness of the glass and calculate the maximum volume of the fish tank. (There are only three kinds of glass side lengths in the picture, namely 10 decimeter, 6 decimeter and 3 decimeter. )
3. When a new bridge is built in a certain place, lighting lamps should be installed at equal distances on both sides of the bridge deck. It is required to have a lamp at the midpoint of A, B, C and AC and BC. How many lamps should be installed at least?
Aunt Li deposited 3,000 yuan in the bank for three years, with an annual interest rate of 2.52% and interest tax calculated at 20%. Please help aunt Li calculate how much principal and after-tax interest she should get when it expires.
Fifth, the problem of statistical charts.
1. Five students in Class One, Grade Five measured their weights as 34kg, 40kg, 38kg, 42kg and 4 1 kg respectively.
(1) Please draw a bar chart according to the above information. (3 points)
(2) Calculate that their average weight is () kg.
2. The picture answers the question. (4 points)
It took Xiao Ming () minutes to finish the whole race.
(2) After Xiaoming reached the finish line, Xiao Min ran for another () minutes to reach the finish line.
(3) Xiao Ming's average speed is ().
(4) After the start of the competition (), the distance between them is 100 meter.
Take the lead