Class name score
Fill in the blanks. (2 points for each space, ***30 points)
1. If 80m means 80m to the east, -60m means ().
2.( )÷ 12= 1:( )= =0.5=( )%
3. Put a circle with a radius of 5cm at 4: 1, and the area of the figure is () square centimeters.
4. The radius of the bottom surface of the cylinder is 4cm, the height is 10cm, the perimeter of the bottom surface is () cm, the area of the side surface is () cm 2, and the volume is () cm 3.
5. in A×B=C, when b is unchanged, a and c have a () relationship, and when c is unchanged, a and b have a () relationship.
6. The volume of a cone is 9.9 cubic decimeters, and the volume of a cylinder with the same bottom height should be ().
7. If 2a=5b, then a:b= (): ()
8. There is a machine part 5 mm long and 2 cm long on the design paper. The scale of this picture is ().
9. On the map with the scale of 1: 2000000, the distance between the two places is 38 cm, and the actual distance is () km.
Second, judge right or wrong. Mark "√" correctly and "×" incorrectly. (2 points for each small question, *** 10)
1. The diameter of a circle is proportional to its length. ( )
2. Negative numbers are all less than 0, and 0 is a positive number. ( )
3. The volume of three cones is exactly equal to the volume of a cylinder. ( )
4. The radius of the bottom of the cylinder is cm, and its side development diagram is just a square, and the height of this square is 16 cm. ( )
5. The scale represents 1: 4000. ( )
Choose the code of the correct answer and fill in the brackets. (2 points for each small question, *** 12 points)
1. When the height of the cylinder is doubled and the radius of the bottom surface is doubled, the volume of the cylinder is expanded ().
A, twice b, four times c, eight times
2. The length and volume of the cube ().
A, disproportionate B, proportional C, inversely proportional
3. The bottom area and volume of a cone and a cylinder are equal, the height of the cylinder is 9 cm, and the height of the cone is ().
A, 3cm b, 27cm c,18cm
4. The ratio of energy to 3: 8 is ().
a、8 ∶3 B、0.2 ∶ 0.5 C、 15 ∶40
On the map with the scale of 1 ∶ 600000, the distance from Nanjing to Beijing is 15cm, and the actual distance from Nanjing to Beijing is about () kilometers.
A, 800 km b, 90 km c, 900 km
6. Cut the cylinder into the largest cone, and the volume of the cut part is the volume of the cone ().
A, 3 b, 9 c, 2
Fourth, the solution ratio. (12)
:= :x (6+x):4=9:5
= =
Fifth, do as required. (12)
1. Press 1: 3 to draw a miniature of the following figure. (3 points)
2. Represents the following numbers on the number axis. (4 points)
-2 2.5 -3
3. Xiaohong's home is due north 1 km, the bookstore is 400 meters west of it, the science and technology museum is 600 meters south of it, the library is 800 meters east of it, and the theater is there. Determine the scale first, and then draw the plan of the above position. (5 points)
north
Sixth, solve the problem. (***24 points)
1. Make a pair of uncovered cylindrical buckets with a bottom radius of 2 decimeters and a height of 5 decimeters.
(1) How many square decimeters of iron sheet do you need at least? (3 points)
How many liters of water can this barrel hold? (2 points)
2. A car of the transportation company transported a batch of materials from place A to place B, which was originally planned to be 75 kilometers per hour and arrived in 4 hours. Now things have changed. It takes three hours to get there. How many kilometers per hour? (Answer with proportional knowledge) (5 points)
3. The height of conical wheat pile is 1.2m, and the area is 16m2. If wheat weighs 750 kilograms per cubic meter, how many kilograms is there in this pile? (5 points)
On the map with the scale of 1: 600000, the distance between AB is 16 cm.
What is the actual distance between (1)AB? (2 points)
(2) It takes 3 hours for the train to go from A to B. How many kilometers does the train travel per hour? (2 points)
No answer