I. Fill in the blanks (2 points for each question, 20 points for * * *)
1、 :( )
2. 1.02 cubic meter = () cubic meter () cubic decimeter 4500 ml = () liter.
3. If 15m to the east of the school is marked as (+15) m, then (-10) m means ().
4. The radius of the bottom surface of the cylinder is 2cm and the height is 3cm. Its side area is () square centimeters and its volume is () cubic centimeters.
5. The circumference of the cone bottom is12.56m, the volume is12.56m3, and the height is ().
6. The sum of the volumes of cylinders and cones with equal bottoms and equal heights is 40 cubic centimeters, the volume of cylinders is () cubic centimeters, and the volume of cones is () cubic centimeters.
7. If, then: = (): (),: 10= (): ().
8, if, into () ratio.
9. Rewrite 1:3500000 into a line segment. The scale is ().
10, in a ratio, the ratio of two ratios is 3, the two internal terms of this ratio are 6, and this ratio is ().
Judge whether it is true or not (mark "√" for the right and "×" for the wrong). (2 points for each question, *** 16 points)
1. The faster Xiaoming walks from home to school, the less time he spends. So speed is inversely proportional to time. …………………………………………………………………………( )
2. The smallest positive number is+1. …………………………………………………………( )
3. The circumference of a circle is proportional to its radius. …………………………………………( )
4. If the bottom areas of the cone and the cylinder are equal, the volume of the cone is smaller than that of the cylinder. …( )
5. The side length of a square is in direct proportion to its area. ………………………………………( )
6. The larger the bottom area of a cylinder, the larger the volume. ……………………………………( )
7. All negative numbers are less than 0. ……………………………………………………( )
8. These two related quantities are either directly proportional or inversely proportional. …………………………( )
Three, multiple-choice questions (put the serial number before the correct answer in brackets) (2 points for each question, *** 12 points)
1, of the four numbers -3, -0.5, 0 and -0. 1, the smallest is ().
A -3 B -0.5 C 0 D -0. 1
2. In an exam, Xiao Ming's score was 5 points higher than the average score of the whole class, which was recorded as (+5), Xiao Hong's score was recorded as (-3), and Xiao Ming was more than Xiao Hong ().
a-8 B-8 C-5D-3。
3. The volume of a cylinder is larger than that of a cone with the same height as its bottom surface ()
A B C 2 times d can't be judged
4, the following two associated quantity, is proportional to the ()
The sum of a is two addends of 10. A person's age and weight.
The number of copies and the total amount of C subscriptions to academic journals D The width, perimeter and length of the rectangle are certain.
5, called 7 = 8, and ().
A, is proportional to b, is inversely proportional to c, is not proportional to d, can't judge whether it is proportional.
6. The distance on the drawing is 3cm, the actual distance is 1.5mm, and the scale is ().
a 1:20 B 20: 1 C 1:200D 200: 1
Fourth, calculation
1, solution ratio (2 points for each question, ***6 points)
: = : 4:4.5=
2. List the proportions according to the following conditions and answer them. (4 points for each question, ***8 points)
(1) The two external terms are 2.5, and the two internal terms are 100 and 0.8 respectively. The value.
(2) The ratio of a number to the minimum composite number is equal to
V. Operational problems (***6 points)
(1) Draw a rectangle on the grid at the ratio of 1:2.
(2) Draw a trapezoid on the grid line according to the ratio of 2: 1.
Six, answer the following questions (***32 points)
1, a pile of conical yellow sand, with a bottom circumference of 3 1.4 m, a height of 1.2m, and a weight of yellow sand per cubic meter of1.5t.. How many tons does this pile of yellow sand weigh? (5 points)
2. A cylindrical plasticine with a bottom area of 12 cm2 and a height of 5 cm. If you knead it into a cone with the same size at the bottom, what is the height of this cone? (5 points)
3. A ship sails from Port A to Port B at a speed of 25 kilometers per hour. /kloc-arrive in 0/2 hours and return at 30 kilometers per hour. How many hours can we arrive? (Answer with proportional knowledge) (5 points)
4. Wheat was harvested on the farm, and 156 hectares were harvested three days ago. According to this calculation, how many hours will it take to harvest the remaining 260 hectares? (Answer with proportional knowledge) (5 points)
There is a rectangular plot, 5 cm long and 4 cm wide. The actual length is 400 meters. What is the actual area of this rectangular land? If you harvest 6 tons of wheat per hectare, how many tons of wheat can this land harvest? (6 points)
6. As shown on the right, the quadrilateral ABCD is a right-angled trapezoid, where AE = EB = CD = 3cm and BC = ED = 2cm. Rotate the trapezoidal ABCD around the edge of the CD. What is the volume of an object after one revolution? (6 points)