The sixth grade first volume mathematics unit 6 examination questions one.
First, fill in the blanks. (32 points)
1, if y= 15x, the ratio of x to y is (); If y= 15 x, then x and y are proportional ().
2. if a? 14 =B？ 13 (both a and b are not 0), then A:B= (): (), B:A= ().
3. The volume of the cone is 18 cubic decimeter, the height is 6 decimeters, and the bottom area is ().
4, the area of the triangle is certain, and the bottom is directly proportional to the height (); The height of the cone is constant, and the volume is proportional to the bottom area ().
5. The volume difference between a cone and a cylinder with the same base and height is 30 cubic centimeters. The volume of this cone is () cubic centimeters.
6, from the factor of 24, choose 4 numbers to make up the proportion: ().
7. The line segment scale on the map is 0 30 60 90 120 km, so 1 cm on the map represents the actual distance () km; If the actual distance is 450km, draw () cm on the map and change the scale of this line segment to numerical scale ().
8. The length of precision parts is 5 mm, and () cm should be drawn on the part drawing with the scale of 12: 1.
9. Cut a cube with a side length of 8 cm into the largest cylinder. The volume of this cylinder is () cubic centimeters and the surface area is () square centimeters.
10, a 1 meter long cylindrical steel, the surface area is reduced by 25. 12 after cutting off a section of 2 decimeters.
Square meters, the original volume of this steel is () cubic meters.
1 1. In the following ratio, the ratio of the two ratios is 0.5, which completes the equation.
10 ︰ = ︰ 10
12, the number of female students in grade 6 is male, with the ratio of male to female being (), male accounting for () and female accounting for () of the whole class, with more boys than girls and less girls than boys ()%.
13, ① In the right figure, figure B is in the ratio of (): ().
After enlargement, you can get figure a.
② The area ratio of Figure A and Figure B is (): ().
15,5080 cubic centimeters = () liters 3.6 kilometers = () meters = () centimeters.
7.65 cubic meters = () cubic meters () cubic decimeter
Second, multiple choice questions. (5 points)
1, it takes 8 hours for the bus to go from a to b, and 10 hours for the truck. The simplest integer ratio of the speed of bus and truck is (). a、4:5 B、8: 10 C、5:4
2, the following four numbers in each group can constitute a proportion is ().
a、5 1 1、 10、 18 B、 1.8、2. 1.7、3
C, D, VI, V
3. Seen from the side, the cylinder is square. The radius of the bottom of the cylinder is 10 cm, so the height of the cylinder is () cm.
a、62.8 B、3 1.4 C、 1.5D、20
4. The ratio of the bottom area of a cylinder to a cuboid is 1: 2, the height ratio is 2: 5, and the volume ratio of the two is ().
a、2∶5 B、 1∶2 C、2∶ 10 D、3∶72
5. In a:b=c:d, B is enlarged five times. In order to establish the ratio, the following statement is correct ().
A and c have also expanded five times. B and d have been expanded five times. C and a are reduced by 5 times. D, a and c are reduced by 5 times at the same time.
Third, judge right or wrong. (5 points)
1, the bottom area of the cylinder is reduced by 4 times and the height is increased by 2 times, so its volume is reduced by 2 times. ......( )
2. The cone volume is 13 of the cylinder volume. ? ( )
3. The flour yield of wheat is certain, and the weight of flour is directly proportional to the quality of wheat. ( )
4. The ratio of the two proportions must be equal. ? ( )
I want to know the proportion of Xiaoming's family's expenditure last year, so it is more appropriate to make a histogram. ( )
Fourth, calculation.
1. Write directly. (5 points)
+ = 1+95%= 35? 42= ∶ = 0.48? 0.3=
2. Simple calculation. (6 points)
3 8 ? 99+3? eight
3. look for the unknown. (6 points)
:4=X:
Fifth, the operation problem. (10)
1. Draw a rectangle with the ratio of 1: 3, and then draw a triangle with the ratio of 2: 1.
2. On the right is the schematic diagram of Castle Peak Zoo.
(1) The Panda Pavilion is outside Monkey Mountain () ()?
() meter direction.
(2) Peacock Garden is () away from Monkey Mountain () ()?
() meter direction.
(3) The Snake Pavilion is located at 45? 150m direction. Shows its position in the diagram.
Sixth, solve the problem. (Question 6, 6 points, 5 points for each other)
1. On the map of scale, the distance between A and B is measured as 2.5cm.. A plane flies from A to B at 8 a.m. and arrives at 9: 30. How many kilometers does this plane fly per hour on average?
2. The front wheel of the roller is cylindrical, with a wheel width of 1.6m and a diameter of 80cm. How many square meters is the front wheel rolling twice? How many meters have you advanced?
3. A conical sand pile with a bottom circumference of12.56m and a height of1.2m. What is the volume of this conical sand pile? If each cubic meter of sand weighs 1.7 tons, how many tons does this pile of sand weigh?
4. A car from City A to City B, the distance between the two cities is 120km, and the distance that has been traveled is the rest. How many kilometers is this bus from B city?
5. The sixth-grade students made 165 mathematical tabloids of the same size, which just covered 15 exhibition boards, with 5 small exhibition boards and 20 large exhibition boards. How many large and small exhibition boards are there?
The sixth grade first volume mathematics unit 6 examination questions two
First, read the questions carefully and fill in the blanks carefully. (Per grid 1 min, *** 19 min)
1, 3.7L = () ml 45 cubic decimeter = () cubic meter.
500ml = () cubic centimeter = () cubic decimeter.
2. Cut a cylinder evenly into several parts and make it into an approximate cuboid. The base area of this cuboid is 7 square decimeters, the height is 8 decimeters, and the volume of the cylinder is () cubic decimeters.
3. The volume of the cone is 7.2 cubic decimeter, the bottom area is 9 square decimeter, and the height of the cone should be () decimeter.
4. The ratio of circumference to radius of a circle (), and the ratio of area to radius of a circle ().
5. The ratio of the bottom radius of two cylinders with the same height is 4: 3, and their volume ratio is (): ().
6. Cylinders and cones have the same bottom area and the same volume. It is known that the height of the cone is 1.8 decimeter, and the height of the cylinder is ().
7. Sixth-grade students line up to do broadcast exercises, and the number of people in each row is directly proportional to the number of rows arranged. () changes with the change of (), and the () of these two quantities remains unchanged during the change.
8. It is () that rewrites the scale into a digital scale.
9, a kind of precision parts 5㎜ long, the picture is 4㎝, the scale of this picture is ().
10, the inner diameter of the tap water pipe is 2 cm, and the water flow rate in the pipe is 5 cm per second. A classmate went to the swimming pool to wash his hands and forgot to turn off the tap when he left, wasting () 5 minutes of water.
1 1, cylinder and cone are equal in height, and the volume sum is 388 cubic decimeter, and the volume of cone is less than () cubic decimeter of cylinder.
12. Rotate one right-angled side of a triangle with two right-angled sides of 3cm as the axis, and the volume of the obtained three-dimensional figure is () cubic centimeters.
Second, carefully scrutinize and judge carefully. (correct play? , wrong number? ) (6 points)
() 1, and the ratio is a ratio.
() 2. When the height of the cylinder is doubled, the area of the side surface will also be doubled.
() 3. The survival rate is certain, and the number of surviving trees is inversely proportional to the total number of trees planted.
() 4. Time and speed are inversely proportional.
() 5. Cylindrical oil drums with a volume of 100L must have a volume of 100 cubic decimeter.
() 6. These two related quantities are either directly proportional or inversely proportional.
Third, compare repeatedly and choose carefully. Fill in the brackets with the serial number of the correct answer. (5 points)
1, the diameter of the bottom surface of the cylinder and the cone is equal, the height of the cone is three times that of the cylinder, the volume of the cone is 15 cubic decimeter, and the volume of the cylinder is () cubic decimeter.
a、45 B、 15 C、5
2. The length of rectangle is 6 cm and the width is 2 cm. The volume obtained when a cylinder rotates once around its length is () cubic centimeters.
a 75.36 B 150.72 C 56.52D 226.08
3. The circumference of the cone bottom is18.84cm, and the height is 8cm. Cut into two equal halves along the diameter, and the surface area will increase by () cm2.
a、 150.72 B、96 C、48 D、24
4. Divide a 2-meter-long round steel into two sections with the same length, and increase the surface area by 20cm2. The original volume of round steel is () dm3.
a、400 B、200 C、20 D、2
5. The two quantities in () are out of proportion.
A, from Beijing to Guangzhou, the average speed of the train and the required time b, a box of apples, how many have you eaten, and how many are left. The height of the object and the length of the shadow at the same time and place.
Fourth, operation and discovery. (14)
1. As shown in the figure, measure, calculate and fill in.
(1) The actual distance from the school to the street square is 600 meters, and the scale of this picture is (). (2 points)
(2) The Children's Palace is () meters away from the street square. (2 points)
(3) The Children's Park is 30 degrees and 300 meters southwest of the street square. Please draw its position in the picture. (3 points)
2. The annual price of colorful languages is 45 yuan. The number of subscribers is as follows. Please fill in the form completely. (2 points)
Number of subscribers (person) 10 20 30 40
Total subscription price (RMB)
(1) What is the ratio of newspaper subscribers to total price? Why? (3 points
(2) According to the data in the table, trace it in the figure below.
Click the corresponding number of people and total price, and then press them.
Connect in sequence. (2 points)
5. calculation. (2 1)
1. Calculate the surface area of the following three-dimensional graph. (4 points)
2. Calculate the volume of the following three-dimensional graphics. (8 points)
3. Solution ratio. (9 points)
:= :X (6+ X):4=9:5 =
Sixth, apply knowledge to solve problems. (1 question 5 points, opponent 6 points, ***35 points)
1. There is a stone in the glass jar with a bottom area of 1.5 square decimeter and a water depth of 18 cm. If the stone is taken out, the water level drops to 15 cm. What is the volume of this stone?
2. What is the minimum area of iron sheet needed to make 20 cylindrical iron sheet ventilation pipes with a bottom radius of 5cm and a length of 40cm?
3. The roller of the road roller is a cylinder, the diameter of the bottom surface is 80 cm, and the length is 1.5 m ... It is rolled 25 times per minute, and how many roads can be rolled by 1 hour?
4. 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)
On the map with the scale of 1: 4000000, the distance between a and b is 20cm. Two trains leave from A and B relatively simultaneously. A car is 87 kilometers per hour, and B car is 1 13 kilometers per hour. How many hours did the two trains meet?
6. A conical wheat pile with a height of 3 meters and a bottom radius of 2 meters. If each cubic meter of wheat weighs 500 kilograms, how many kilograms is this pile of wheat?
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