(Answer time: 60 minutes)
First, the basic concepts. (0.37)
1.(0. 16)
(1) 2.05m2 = () square decimeter
850ml = () L (fill in score)
(2) The side length of the cube is 0.6 decimeter, and the surface area is () square decimeter.
(3) consists of ().
(4)□2□ is a three-digit number, which can be divisible by 2, 3 and 5. The smallest digit of this three-digit number is ().
(5) Select any one of the following two pictures and indicate it with a shadow.
(6) The sum in descending order is () >; ()& gt( )
(7) is a true fraction, which can be converted into a finite fraction, and a can be ().
(8) A cube with a side length of 6 cm can be cut into () small cubes with a side length of 2 cm.
2. Judge, draw "√" correctly, and draw "×" wrongly. (0.09)
The numerator of (1) false fraction must be greater than its denominator. ( )
(2) ( )
(3) ( )
3. Choose and put the letters of the correct answer in brackets. (0. 12)
(1)4 equals 20 ()
A. prime factor of multiple divisor
(2) Among the following scores, the one that can be converted into a limited score is ()
A. BC
(3) and ()
A. the same meaning B. the same size C. the same fractional unit
(4) The shaded part below accounts for () of the whole graph.
A. BC
Two. Basic calculation. (0.26)
1. Write the number directly. (0.06)
( 1) (2)
(3) (4)
(5) (6)
(7) (8)
(9) ( 10)
( 1 1) ( 12)
2. Calculate the following questions in a simple way. (0.08)
( 1) (2)
3. The calculation of the following questions is out of step. (0. 12)
( 1) (2)
(3)
Third, solve the problem. (0.37)
1. The following are the shooting statistics of the three groups of the school basketball team.
Number of people in each group 8 5 7
The average number of hits per person is 2.5 2.6 3.
How many balls did the basketball team throw on average? (0.05)
The following is Xiao Ming's daily (24 hours) schedule, which is relatively complete. (0.06)
How long does this project take a day? (Fill in the simplest score)
Seven hours at school
Eat for 2 hours
Homework 1 hour
Sleep nine hours
Other () hours
The school bought a batch of books, among which literary books are science and technology books, and the rest are comic books. (0.08)
(1) What percentage of science and technology books are more than literature and art books in this batch of books?
(2) Please put forward a math problem, write it on the horizontal line and answer it side by side.
__________________________________________________
4. The trash can is cuboid. (as shown in the figure below) (0.09)
(1) If Xiaoming's family produces 2 barrels of garbage every day on average, how many cubic meters of garbage does his family produce every day? (excluding the thickness of the trash can)
(2) Xiaoming School10.5 million students. If every student's home produces as much garbage as Xiaoming's every day, how many cubic meters of garbage does the whole school produce at home every day?
(3) The on-board dustbin of the cleaning vehicle is rectangular, and the length, width and height measured from the inside are 3m, 2m and 1.5m respectively. How much garbage can this car be used to transport all the students' homes in a day?
5. My findings. (0.09)
(1) Fill the calculation results in brackets.
( ) ( )
( ) ( )
( ) …………
(2) In the above problem, the numerator of the two addends is 1 and the denominator is a coprime natural number. The calculation result of this topic is: multiply the product of two addend denominators into (), and add the sum of the two addend denominators into ().
(3) List a formula that meets the above requirements and calculate the results.
(1) 2.05m2 = (205) square decimeter.
850ml = () L (fill in score)
(2) The side length of the cube is 0.6 decimeter, and the surface area is (2. 16) square decimeter.
(3) consists of (5).
(4)□2□ is a three-digit number, which can be divisible by 2, 3 and 5. The minimum value of this three-digit number is (120).
(5) Select any one of the following two pictures, and indicate it with a shadow.
(6) The sum in descending order is () >; ()& gt( )
(7) is a true fraction, which can be converted into a finite fraction. A can be (3,6,9).
(8) A cube with a side length of 6 cm can be cut into (27) cubes with a side length of 2 cm.
2. Judge, draw "√" correctly, and draw "×" wrongly. (0.09)
The numerator of (1) false fraction must be greater than its denominator. (×)
(2) (√)
(3) (×)
3. Choose and put the letters of the correct answer in brackets. (0. 12)
(1)4 equals 20 (b)
A. prime factor of multiple divisor
(2) Among the following scores, (a) can be converted into a limited score.
A. BC
(3) and (b)
A. the same meaning B. the same size C. the same fractional unit
(4) The shaded part in the following figure accounts for (c) of the whole figure.
A. BC
Two. Basic calculation. (0.26)
1. Write the number directly. (0.06)
( 1) 0.0 1 (2) 0.027
(3) 1 (4) 3
(5) (6)
(7) (8)
(9) ( 10)
( 1 1) ( 12)
2. Calculate the following questions in a simple way. (0.08)
( 1) (2)
3. The calculation of the following questions is out of step. (0. 12)
( 1) (2)
(3)
Third, solve the problem. (0.37)
1. The following are the shooting statistics of the three groups of the school basketball team.
Number of people in each group 8 5 7
The average number of hits per person is 2.5 2.6 3.
How many balls did the basketball team throw on average? (0.05)
(2.5×8+5×2.6+7×3)÷(8+5+7)
=54÷20
= 2.7 (pieces)
The following is Xiao Ming's daily (24 hours) schedule, which is relatively complete. (0.06)
How long does this project take a day? (Fill in the simplest score)
Seven hours at school
Eat for 2 hours
Homework 1 hour
Sleep nine hours
Other (5) hours
The school bought a batch of books, among which literary books are science and technology books, and the rest are comic books. (0.08)
(1) What percentage of science and technology books are more than literature and art books in this batch of books?
(2) Please put forward a math problem, write it on the horizontal line and answer it side by side.
What percentage of these books are literature and art books and science and technology books?
4. The trash can is cuboid. (as shown in the figure below) (0.09)
(1) If Xiaoming's family produces 2 barrels of garbage every day on average, how many cubic meters of garbage does his family produce every day? (excluding the thickness of the trash can)
0.2×0.3×0.4×2=0.048 cubic meter.
(2) Xiaoming School10.5 million students. If every student's home produces as much garbage as Xiaoming's every day, how many cubic meters of garbage does the whole school produce at home every day?
0.048× 1500=72 (m3)
(3) The on-board dustbin of the cleaning vehicle is rectangular, and the length, width and height measured from the inside are 3m, 2m and 1.5m respectively. How much garbage can this car be used to transport all the students' homes in a day?
3×2× 1.5=9(m3)
72 ÷ 9 = 8 (vehicles)
5. My findings. (0.09)
(1) Fill the calculation results in brackets.
( ) ( )
( ) ( )
( ) …………
(2) In the above problem, the numerator of the two addends is 1 and the denominator is a coprime natural number. The calculation result of this topic is: multiply the product of two addend denominators as (denominator), and add the sum of two addend denominators as (numerator).
(3) List a formula that meets the above requirements and calculate the results.