Fill in the blanks. (32 points)
1. A cubic wooden box with a side length of 1 m can hold at most () cubes of 1 cubic decimeter.
2. To make a rectangular frame with a length of 5 decimeters, a width of 4 decimeters and a height of 3 decimeters, at least () decimeters of wires are needed. If you stick a layer of cardboard on the outside of this frame, you need at least () square meters of cardboard. The volume of this rectangular box is () cubic decimeter.
3. The side length of a cube is a, the sum of the side lengths of this cube is (), the surface area is (), and the volume is ().
4. Make a cuboid with six small cubes, and the side length is 1cm. The cuboid has a volume of () cubic centimeters and a surface area of () square centimeters.
5. Fill in the appropriate figures in □ as required.
43 is divisible by 2, and 56 is a multiple of 5.
7□2 contains a divisor 3 5□8 divisible by 2, 3 and 5 at the same time.
6. In 1-20, the smallest prime number is (), the smallest composite number is (), () is neither a prime number nor a composite number, and () is both an odd number and a composite number.
7.7, 9, 2 1, () and () are prime numbers, and () is a multiple of (). 8. The prime factor of decomposition 330 is ().
9.A=2×3×5, B=2×2×3, the greatest common divisor of A and B is (), and the least common multiple is ().
10, a and b are prime numbers, the greatest common divisor of a and b is (), and the least common multiple is ().
1 1, 3.75 cubic meters = () cubic meters () cubic decimeter 5 liters 500 ml = () liters 12, and fill in different prime numbers in ().
10=( )×( )=( )+( )=( )-( )
Second, judge. Mark "√" for the right one and "×" for the wrong one. (5 points)
1, 3 cubic meters is more than 2 square meters. ( )
2. Two wooden cases with the same volume must have the same volume. ( )
3. Numbers with unit numbers of 3, 6 and 9 can be divisible by 3. ( )
When two prime numbers are multiplied, their product must be a composite number. ( )
5. The least common multiple of two numbers is the multiple of the greatest common divisor of these two numbers. ( )
Third, choose. Fill in the serial number of the correct answer in (). (5 points)
1, at least () identical small cubes can be combined into a big cube.
①4 ②8 ③9
2. The length, width and height are 3 decimeters and 5 decimeters respectively. The surface area can be calculated by method ().
①3×3×5 ②3×3×2+5×3×2 ③3×3×2+5×3×4
3. A number is both a multiple of 18 and a divisor of 18. This number is ().
① 1 ②9 ③ 18 ④324
4,24 is () of 4,6,8.
① prime factor ② multiple ③ common divisor ④ common multiple
5.A and B are two continuous natural numbers (both A and B are not 0), and the greatest common divisor of these two numbers is ()112ab34b.
Fourth, find the greatest common divisor and the least common multiple. (8 points)
1, find the greatest common divisor. 10 and 35 54 and 72
2. Find the least common multiple. 18 and 30
Fifth, draw a picture. (4 points)
On the right is a piece of cardboard with a shadow.
It consists of six small squares, which are cut and folded into small pieces.
A cube. Please give me six more connected ones.
Small squares have shadows (different shapes),
You can also fold it into a cube when you cut it.
Seven, application questions.
1. The experimental primary school carried out tree planting activities in spring. The number of plants in grades three to six is 132, 236, 305 and 3 19 respectively. How many trees are planted in each grade on average?
The following is the shooting statistics of Class Two and Group Three in Grade Five. How many shots did everyone in the class hit on average?
Number of people in each group
1 1
10
nine
Average number of clicks per person
2.5
2.8
3. 1
In a math contest, the average score of three players in Class 5 (3) is 90, of which two players scored 85 and 93 respectively. What's the score of the third one?
4. What is the height of a 4-meter-long cubic iron drum with 48 liters of water? (Ignore the thickness of the iron sheet)
5. Dig a reservoir 8 meters long, 6 meters wide and 2 meters deep. How many square meters is this reservoir? If the periphery and bottom of this reservoir are plastered with cement, what is the area of the plastered part? How many tons of water can this pool hold at most? (1 m3 water weight 1 ton)
6. There are less than 65,438+000 eggs in one basket. If there are three plots, there is only 1. If there are five plots of land, 1 is left. How many eggs are there in this basket? (There is no unique answer, add 2 points for each correct answer. )
Sixth, organize the data.
The following is the height measurement record of boys in Class One, Grade Five in a school. (Unit: cm)
Qian Jun
148
Tong Li
140
Peng Li
135
Feng Xue
144
Li Ming
139
Du Bing
14 1
Wu Tianxiang
142
Jessica Beinecke
143
Hsiao-lan Chang
144
Yang shitong
153
autumn fruits
133
Cai minxin
155
Wang min
134
cattle
143
Xia Shuang
130
Ma Wanli
136
Dan Liu
154
Lu Ling
148
Guo Mingming
150
Qin Feiyu
159
Zhu Xiaoping
138
Zhang
145
Huda
147
Wu Jun
142
Please sort out the data on your record sheet and make a table. (The height starts from 130 cm and is grouped every 5 cm. )
Height (cm)
130— 134
number of people
The following is a survey of TV programs that students in Class 5 and Class/kloc-0 of Hongxing Primary School like.
New news item
sports festival
gender
total
schoolchild
girl student
gender
total
schoolchild
girl student
number of people
17
nine
eight
number of people
15
1 1
four
TV plays
other
gender
total
schoolchild
girl student
gender
total
schoolchild
girl student
number of people
20
eight
12
number of people
24
12
12
Please fill in the relevant data in the big statistics table below according to the above four statistics tables. (7 points)
Statistics on the number of active classes in Hongxing Primary School
nature
no
mankind
count
obstacle
eye
Combination plan
schoolboy
schoolgirl
General plan
news show
sports programme
Video drama
Chita
What information can you get from the above statistics? (2 points for each message, up to 6 points)
Eight, practical application. (3 points)
Have you heard the story of the crow drinking water? Please explain why crows can drink water with what you have learned.