Lujing primary school
I. Fill in the blanks (17)
1, weight gain of 6kg is +6 kg, then -2 kg means ().
2. Use a square piece of paper with a side length of 14cm to form a cylinder. What is the side area of this cylinder? )。
Xiaoming rides a bike from home to school. The speed of his bike is in direct proportion to the time it takes.
4. The number of A is 30% more than that of B, and the ratio of A to B is (): ().
5. If 7M=5N, then 7: 5 = (): ().
6. The ratio of circumference of big circle to small circle is 5: 3, the ratio of area of small circle to big circle is (), and the ratio of circumference to diameter of circle is ().
7. The radius of the bottom of the cylinder is 2 cm and the height is 2 cm. Its side development diagram is (), and its side area is () square centimeters.
8. On the scale of 1? On the map of 2000000, the measured distance between the two places is 38 cm, but the actual distance between the two places is () kilometers.
9. Expand the edge of the cylinder to get a rectangle, the length of which is equivalent to () of the cylinder, and the width is equivalent to () of the cylinder.
10. The sum of the volumes of cylinders and cones with equal bottoms and equal heights is 28 cubic meters, and the volume of cylinders is ().
1 1. After walking a certain distance, Party A needs 1/4 hours, Party B needs 1/5 hours, and the speed ratio between Party A and Party B is ().
12, a 1 meter long cylindrical steel, after cutting off a section of 2 decimeters, the surface area is reduced by 25. 12 square decimeter. At first, the volume of this steel was () cubic decimeter.
Second, multiple choice questions. ( 10)
1, 24 iron cones, the number of cylinders that can be cast with equal bottom and equal height is []
A. 12
2. Compare the volumes of cylinders, cubes and cuboids with equal bottoms and equal heights []
A.this cube is very big. This cuboid is very big. This cylinder is very big. D. it's the same size
3. The same scale as 0 20 40 60 km is ().
1:20。
4. If you put 1/5 of the upper shelf on the lower shelf, there are as many books on the upper and lower floors, and the original ratio of the upper and lower floors is ().
a . 4:5 b . 2:5 c . 3:5d:3
5. The distance on the drawing is 3cm, the actual distance is 1.5mm, and the scale is ().
a . 1:20 b . 1:2 c . 1:200d . 20: 1
Third, the judge. ( 10)
1, a circle with a radius of 2 cm, with equal perimeter and area. ( )
2. The circumference and diameter of a circle must be in direct proportion. ( )
The radius of the bottom of the cylinder is 8 cm, and its side is just a square. The height of this cylinder is 16 cm. ( )
4. If two external terms of a proportion are reciprocal, then two internal terms must also be reciprocal. ( )
5. The sum of the volumes of three cones is exactly equal to the volume of a cylinder. ( )
Fourth, find the unknown x (12)
( 1) 3:4=6:(X-2) (2) :=:x
(3) = (4) x: = 18:
5. Calculate the volume of the following chart. (6)
Six, the following is a company's first and second factory output from 1999 to 2004:
Year of output value
(ten thousand yuan)
Branch factory
1999
In 2000,
200 1 year
In 2002
In 2003
In 2004
Branch 300 380 490 550 700 900
The second factory 450 560 620 700 900 1200
Complete the following statistical chart according to the data in the table. ( 10)
1999-2004 Statistics on the output value of the first and second branch factories of a company.
date month year
Unit: 10,000 yuan for one branch and two branches.
1400
1200
1000
Eight hundred
600
celebrity
200
1999 2000 200 1 2002 2003 2004
7. Measure the distance from the school to the bus stop in the picture below, and then calculate the actual distance according to the scale. (5)
Eight, solve the problem (30)
1. How many square dm does it take for Dad to make a pair of uncovered cylindrical iron drums with a diameter of 6dm and a height of 9dm (the number should be kept as an integer)?
2. There is a cylindrical grain storage barrel with a volume of 3. 14 cubic meter and a barrel depth of 2 meters. Fill this barrel with rice and pile it into a cone with a height of 0.3 meters. What is the volume of rice in this grain storage barrel? (Keep two decimal places)
3. How many square decimeters does it take to make a cylindrical oil drum with a bottom diameter of 4 decimeters and a height of 4 decimeters? (Keep one decimal place) If the weight of each liter of oil is 0.8kg, how many kilograms can this oil drum hold? (Keep the whole kilogram).
4. Two steel bars with the same length, one of which took 12 minutes to saw into three sections, and the other one needs to be sawed into six sections. How many minutes will it take? (solved by proportional method)
Xiaoming's mother bought the same square brick floor. If it costs 144 to pave a 36-square-meter bedroom, how much does it cost to pave a 50-square-meter living room? (Answer with proportional knowledge)
6. In the factory, the tonnage ratio of warehouse A and warehouse B is 4:3. If 8 tons are taken from warehouse A to warehouse B, the tonnage ratio of warehouse A and warehouse B is 4: 5. How many tons did the two warehouses originally deposit and lend?