1, fill in the blanks according to the counting method of 1 month.
Sixth, mathematics application problems in life.
1. The front wheel of the roller is a cylinder with a wheel width of 2 m and a diameter of1.2m. If it rotates five times per minute, how many square meters will 10 roll? (7 points)
2. The height of the cylindrical uncovered tin barrel is 2.5 decimeters, and the diameter of the bottom surface is 4 decimeters. How many square decimetres does it take to make a pair of such barrels? (Keep the whole square decimeter) (7 points)
3. A car will drive from A to B for two hours160km. At this rate, it will take three hours to get to B. How many kilometers are there between A and B? (Answer in proportion) (4 points)
4. There is a parallelogram wheat experimental field. Bottom length 120m, height 80m. If the scale of 1: 4000 is drawn on the plan, what is the area of this experimental field on the map? (6 points)
Reference answer:
I. 1, 4 1 2, West, 8, -3 3, 4, 3 4, 8 5, 28.26, 42.39 6, 62.8, 87.92 7, 1: 100000.
Second, 1,? 2、? 3、? 4、? 5、? 6、? 7、?
Iii.1c2d3b4a5 b6a7b8c9c10c
Iv. 1,+300,000 yuan -65438+ 10,000 yuan-200,000 yuan+400,000 yuan -65438+ 10,000 yuan 2. Profit 30
Verb (abbreviation of verb)1,729.842, 29.43753,169.56
Six,
1, solution: front wheel side circumference: 3. 14? 1.2=3.768(m)？ (2 points)
Lateral area of front wheel: 3.768? 2=7.536(m？ ) ? . (2 points)
Road pressing per minute: 7.536? 5=37.68(m？ ) ? . (2 points)
10 minute * * * Road pressure: 37.68? 10=376.8(m？ ) ? . ( 1)
A: Omit.
2、
Solution: area of barrel bottom: 3. 14? (4? 2)? = 12.56 (dm？ ) ? . (2 points)
Side area of bucket: 3. 14? 4? 2.5=3 1.4(dm？ ) ... (3 points)
Do you need iron sheets to make a pair of buckets: (12.56+3 1.4)? 2=87.92? 88(dm？ ) ? (2 points)
A: Omit.
3. solution: let a and b be x kilometers apart. ..( 1)
160: 2 = x: (2+3)...(2 points)
X=400..( 1 min)
A: Omit.
4. Solution: Let the bottom of this wheat experimental field be x cm long and y cm high. ? ( 1)
120m = 12000m 80m = 8000m。
x: 12000= 1:4000？ ( 1)
X=3 (1 point)
Y: 8000 = 1: 4000...( 1)
y=2？ ( 1)
3? 2=6 (square centimeter)? ..( 1)
The area of this experimental field on the map is 6 square centimeters.
5. Solution: Radius of cylinder bottom: (25. 12? 2)? 2? =2 (cm)? ... (3 points)
Area of cylinder bottom: 3. 14? 2? = 12.56 (cm2) (2 points)
Original cylinder volume: 12.56? 8= 100.48 (cubic centimeter) .. (2 points)
A: Omit.
At the end of the sixth grade, more related questions are recommended: