score
Fill in the blanks: (24 points)
1, () ⊙()= 1.8 =():()= ()
( )
——— =( )% 。
( )
2. The bottom radius and height of the cylinder are 4cm. Its bottom area is () square centimeters, its surface area is () square centimeters, its surface area is () square centimeters and its volume is () cubic centimeters.
3. The map with the scale of 1:3000000 represents () times the actual distance, and the distance on the map is () of the actual distance. Replace with line segment scale:
An athlete goes up the mountain first, and then goes down the mountain by the same way. It is known that the speed ratio of his going up and down the mountain is 8:9, so the time ratio of his going up and down the mountain is (:).
5. It is known that A is 125% of B, so A:B= (): ().
6. Cone-shaped grain pile, bottom circumference15.7m, height1.2m. It covers an area of () m2 and has a volume of () m3.
7. Pi is the ratio of () to ().
8. Cut a cylindrical piece of wood into the largest cone, and cut off a part of the volume to be the cone ().
9. From 9: 00 to 10, the minute hand needle with the length of 12 cm left () cm, and the hour hand needle with the length of 9 cm left () cm.
10, 3 cylindrical lead ingots can be cast into () conical lead ingots with the same bottom and height.
1 1, 40% of a number is equal to 2/3 of b number (both a and b are not 0), and the simplest ratio of a number to b number is ().
12, given that 3A= 15%B, the number a is proportional to the number b.
13. On the drawing with the scale of 8: 1, the length of a precision part is 2 mm, and the actual length of the part is ().
Judgment: (5 points)
1, and the seed germination rate reached 120%. ( )
2. The denominator of the fraction is certain, and the numerator is directly proportional to the fractional value. ( )
3. The bottom area of the cone remains unchanged. If the height is doubled, its volume will be quadrupled. ( )
The circumference and radius of a circle are in direct proportion. ( )
This shop sells color TV sets at a discount of 12%. ( )
Choice: (5 points)
1, the radius of the bottom surface of the cylinder is enlarged by 2 times, the height is enlarged by 3 times, and the volume is enlarged by () times.
( 1) 12 (2)3 (3)5 (4)6
2. The diameter of the cone bottom is 5 cm, the height is 3/5 of the diameter, and the volume is () cubic cm.
( 1) 19.625 (2)58.875 (3)78.5
3. Prepare a brine, the ratio of salt to water is 1: 4, and salt accounts for () of brine.
( 1)25% (2)400% (3)20% (4)80%
4. Two-thirds of the number A is equal to three-quarters of the number B (neither Party A nor Party B is 0). Compare the two numbers A and B ().
(1) A is as big as B (2).
5. 100 kg increases 10%, and then decreases 10%, resulting in ().
(1) is heavier than 100 kg (2) is lighter than 100 kg.
③ or 100kg④ is possible.
Calculation: (36 points)
Number of direct writes: (5 points)
2. Calculation: (12 points)
16 5 4
1÷80%+— ÷— 8×(280%-2—)÷ 14%
5 16 5
3. Resolution rate: (6 points)
14 X 12
—: X=3 : 12 — = —
4 25 75
4. Column calculation. (6 points)
(1) Three quarters of a number is 15. What is 10% of this number?
(2) Find a number that is 2.4 less than its 120%.
Application problem: (30 points)
The fuel tank of an automobile is 6 decimeters long and its cross section is a circle with a radius of 1.5 decimeters. How many square decimetres does it take to make this fuel tank? How many liters of oil can be loaded after the fight?
Assemble a batch of bicycles. It is planned to assemble 120 bicycles every day, and the task can be completed in 30 days. The number of vehicles actually assembled every day is 25% more than planned. How many days does it actually take to complete this task?
There are 884 middle and senior students in Yucai Primary School, which is 30% more than the lower grades. How many students are there in the school?
Cone-shaped sand pile with bottom diameter of 6m and height of 15 decimeter. As we all know, every cubic meter of sand weighs 2 tons. How many tons does this sand pile weigh?
A canal of 405 meters will be dug in the new village, and it was dug three days ago 135 meters. According to this calculation, how many days will it take to complete the task? (Use proportional solution)
The following is the park concession price list. 17 the sixth grade students are going to rent a boat. Please design the most economical scheme. (Each ship can't be overloaded) 2-seater cruise, 3-seater cruise in 6 yuan and 4-seater cruise in 8 yuan, each 10 yuan.