1. A number consists of 500 million, 24 million and 375 ones. This number is written as () and pronounced as ().
2. In 7 12, 34, 58, 1924, the maximum score is (), and the maximum score unit is ().
3. If a-b=c, then a-(b+c)= () and a-bc = ().
4. The workload of Party A in 8 days is exactly equal to that of Party B 10, and the simplest integer ratio of ergonomics between Party A and Party B is ().
5. Arrange 227, 3. 14, π, 3320:()-()- () in descending order.
6. A batch of parts can be produced in 0/0 day with the cooperation of Party A, with one person of Party A/0/8 day and one person of Party B () day.
The decimal unit of 7. 227 is (). After the decimal unit such as () is removed, the result is 1.
8. If the number of students in Class A is changed from 16 to Class B, the number of students in both classes is equal. It turns out that the ratio of class A to class B is ().
9. The sum of three consecutive natural numbers is 105, in which the smallest natural number is () and the largest natural number is ().
The greatest common factor of 10.A and B numbers is 5, and the smallest common multiple is 60. If the number A is 20, the number B is (); If the number A is 60, then the number B is ().
1 1. A job was originally planned to be completed in five days, but it actually took only four days to complete, and the work efficiency was improved by ()%.
12. A simplest fraction, if its numerator is doubled and its denominator is tripled, is equal to 2 12. The simplest score is ().
Second, the judgment (tick "√" for the right and "×" for the wrong)
1. Extending both sides of an angle can make the angle larger. ( )
2. The height of the triangle is fixed, and the bottom is proportional to the area. ( )
3.A is 25% more than B, and B is 25% less than A. ()
4.38 is both a fraction and a proportion. ( )
Add hundreds of semicolons to a natural number, and the natural number will be expanded by 100 times. ( )
6. The center of the circle determines the position of the circle, and the radius determines the size of the circle. ( )
7. The common factor of all natural numbers is 1. ( )
Third, multiple choice questions. (Fill in the serial number of the correct answer in brackets)
1. One meeting, 40 people attended, 10 people were absent, and the attendance rate was ().
① 40% ②80% ③ 75%
2. The former ratio remains unchanged, and the latter ratio is reduced by 5 times, so the ratio is ().
① Magnify by 5 times; ② 5 times smaller; (3) remain unchanged.
3. Chinese books10; There are 40 Chinese books and math books, and the ratio of their books may be ().
① 2︰5 ②5︰ 1 ③ 3︰ 1
4. A semicircle with a radius of r and a perimeter of ().
① 2πr× 12 ②πr+r ③ (2+π)r
A piece of steel is 4 meters long. 14 is used, 14 meter is used, and () meter is left.
①72 ② 1 14 ③ 2
6. From A to B, it takes 3 hours for the bus and 4 hours for the truck. The speed ratio of the bus and the truck is ().
① 4︰3 ②3︰4 ③ 7︰3
7. The product of A and B is 23 of A, which is 40% of ` B, and the product of A and B is ().
①16152415③ cannot be calculated.
8. The wheel diameter is fixed, the driving distance and the number of wheel revolutions ().
① proportional; ② inversely proportional; ③ Out of proportion; 4 not sure.
9. The shaded area in the figure on the right is a rectangular area ().
①38 ②33.3% ③ 75% ④50%
10. The number A is a, which is three times less than the number B, and the formula of the number B is ().
① 3a-b ② 13 a-b ③ 13 (a+b)
Fourth, calculation:
1. parting calculation:
1 14 ÷[(3.2-83 )×2.5] 6.5×[ 103 ÷(4-2.5× 14 15 )]
2. find X.
3(x-0.2)=5.7 56+x = 16
5. Find the area of the shaded part:
The side length is 4.
The radius of the great circle is 5; The radius of the small circle is 3.
Six, column calculation:
(1). The difference between A and B is 36, and 25 of A equals B. Find A.
(2).A is more than B 1.25, B is 34 of A, what are A and B respectively?
(3) The sum of a certain number and 13 is 3 times equal to 27 of 2 1, so find a certain number.
Seven, application problems:
1. Build a canal. The total length of the first week was 15, which was exactly 600 meters. 35% of the total length will be completed in the second week. How many meters were built in the second week?
The stationery store bought 65 boxes of red and blue ink and sold 1 1 box of red ink. After 20% of the blue ink is sold, the remaining red and blue ink are equal. How many boxes of blue ink have been sold?
The road repair team completed a section of the road in three days. On the first day, 25% of the total length was repaired, on the second day, 400 meters were repaired, and the length ratio of roads repaired on the third day and the second day was 5: 4. How long is this road?
4. It takes 8 people to complete 64 parts in 0.5 hour to make a part. According to this calculation, how many workers will it take to complete 144 parts in 3 hours?
5. With the cooperation of both parties, a project can be completed in 18 days ... It takes 30 days for a person to do it. Now Party A and Party B have cooperated for 6 days, and Party A works alone 10 days. How much is left in this project?
6. The cost of a commodity per piece in 72 yuan was originally sold at a fixed price, and it can sell 100 pieces every day, and the profit of each piece is 25% of the cost. Later, it was sold at 90% of the fixed price, and the daily sales volume increased to 2.5 times. According to this calculation, how many yuan does the daily profit increase?
answer
I. Fill in the blanks:
1、500240375
2、 19/24 ; 3/4
3、0 ; 1
4、4 :5
5、63/20—22/7 - ∏ - 3. 14
6, 22.5 days
7、 1/7 ; 9.
8、3:2
9、34 ; 36
10、 15; five
1 1、25%
12、5/ 18
Second, the question of right and wrong:
Wrong, right, wrong, right, wrong.
Third, multiple-choice questions:
1—5: ② ② ③ ① ②
6— 10:① ② ① ② ③
Fourth, calculation:
1、33/ 16 ; 13
2、X = 2. 1； X=24
Five, find the area of the shadow part:
( 1)S = 9. 12(2)S = 16(3)S = 2 1.5(4)S = 13.76
Six, formula calculation:
(1) A number =60
(2)A = 5； B == 3.75
This figure is 5/3.
Seven, solve the problem-(application)
1, solution: 600÷ 1/5=3000 (m)
3000*35%= 1050 (m)
A: It will be completed in the second week1050m.
2. Solution: Assuming that the blue ink sold is X boxes, there are X÷20%=5X boxes of blue ink.
There are (65 5X) boxes of red ink.
(65-5X)- 1 1 = 4X
X = 6 (box)
A: Six cases of blue ink were sold.
3. Solution: Let the total length be x meters.
(3/4)X-400 : 400 = 5 : 4
X = 1200 (m)
Answer: Total length1200m.
Four or eight people do it 64 times in 0.5 hour,
1 person 1 hour 16,
1 person does 48 in 3 hours.
144÷48=3
So, it takes three people.
A: It takes three people.
5. Solution: Let this project be 1.
1÷18 =118 (sum of efficiency of both parties)
1÷ 30 =1/30 (efficiency of a)
1/ 18 * 6= 6/ 18
1/30 * 10= 10/30
1-(6/ 18)-( 10/30)= 1/3
A: 1/3 remains.
6. The original daily profit is 72×25%× 100= 1800 yuan.
Later, the profit per sheet was 72 ÷ (1+25%) × (1-90%) = 9 yuan.
Later, the daily profit 100×2.5×9=2250 yuan.
So add 2250- 1800=450 yuan.
A: 450 yuan was added.
Quiz 2 Mathematical simulation questions and answers 1. To make a cylindrical iron drum without a cover, the bottom diameter is 4 decimeters and the height is 5 decimeters. What is the minimum area required for tin?
3. 14×(4÷2)×(4÷2)+3. 14×4×5=75.36
2. A cylindrical pool, the wall and bottom of the pool should be inlaid with tiles. The diameter of the bottom is 6m, and the depth of the pool is1.2m.. What is the maximum area of tiles?
3. 14×(6÷2)×(6÷2)+3. 14×6× 1.2=50.838
3. How many square centimeters of iron sheet should be used to make a cylindrical ventilation pipe with a bottom diameter of 20 cm and a length of 50 cm?
3. 14×20×50=3 140
It is known that it takes five hours for a boat to sail 60 kilometers downstream and nine hours to sail 72 kilometers upstream. Now the ship is from the upstream city A to the downstream city B. It is known that the waterway distance between the two cities is 96 kilometers. When sailing, the boatman threw a board into the water. How far is the plank from B city when the ship arrives?
It takes five hours to sail 60 kilometers along the river.
Downstream speed: 60÷5= 12
It takes nine hours to sail 72 kilometers against the current.
Upstream speed: 72÷9=8
Water velocity: (12-8)÷2=2.
Now the ship is from the upstream city A to the downstream city B. It is known that the waterway distance between the two cities is 96 kilometers. When sailing, the boatman threw a board into the water. When the ship arrives in B city, how far is it from B city?
96-2×(96÷ 12)=80
Ships from upstream city A to downstream city B: (96÷ 12)
The distance between each row of boards is 2×(96÷ 12).
5. A ship sails back and forth between A and B, with a downstream speed of 30 kilometers per hour and a countercurrent speed of 10 kilometers per hour. What is the average speed of this ship between A and B?
Suppose the distance is 30 kilometers (other numbers are ok).
Round trip distance ÷ round trip time = round trip speed
(30+30)÷(30÷30+30÷ 10)= 15
Be careful not to take the sum of speeds as distance, and assume a number without distance.
6. A batch of apples sold a third on the first day and a quarter the next day. I bought 24 kilograms more on the first day than on the second. How many kilograms are these apples?
24÷( 1/3- 1/4)=288
7. A batch of bananas is sold for a third on the first day and a quarter on the second day. The second day was less than the first day 18kg. How many kilograms are these bananas?
18÷( 1/3- 1/4)=2 16
8. One third of a batch of fruit was sold on the first day, and 72kg was sold on the second day, leaving 120kg. How many kilograms are there in this batch of fruit?
(72+ 120)÷( 1- 1/3)=288
9. On the first day, I sold one third of a batch of fruits, leaving 192kg. How many kilograms did you sell on the first day?
192÷( 1- 1/3)× 1/3=96
10. On Sunday, Xiaoming bought some apples to entertain his classmates and ate 5/9 of them. Then his mother came home and brought back 3 1. As a result, the number of apples is now 20% more than before. How many apples did Xiaoming buy?
Suppose Xiaoming bought x apples.
I ate it and brought back 3 1 apple (current number of apples)-previous number = 20% of previous number.
( 1-5/9)×X+3+3 1-X = 20% X
X=45
1 1. If Party A and Party B work together, a project can be completed within 3 days; if Party C works alone, it will take 12 days. How many days will it take for Party A, Party B and Party C to complete all the projects?
Both parties can complete the project of 1 within 3 days.
The sum of ergonomics of Party A and Party B is 1/2÷3= 1/6.
If C works alone, the project can be completed in 12 days.
The efficiency of C is1÷12 =112.
The working efficiency of Party A, Party B and Party C is1/6+/12 =1/4.
How many days will it take for Party A, Party B and Party C to complete all the projects?
1÷ 1/4=4
12. Build a flower bed with an outer diameter of 2.2m, an inner diameter of 2m and a depth of 0.5m.. What is the floor area of this flower bed? How many cubic meters of land does it take to fill the flower bed?
The floor area of the flower bed is also the area of the ring.
3. 14×(2.2÷2)×(2.2÷2)-3. 14×(2÷2)×(2÷2)= 0.6594 m2。
Volume large circle volume-small circle volume
3.14× (2.2 ÷ 2 )× (2.2 ÷ 2 )× 0.5-3.14× (2 ÷ 2 )× (2 ÷ 2 )× 0.5 = 0.3297 cubic meter
13. The bottom circumference of cylindrical wood is 12.56 decimeter. The height is 4 meters.
1. What is the surface area?
Radius: 12.56÷3. 14÷2=2 decimeters.
2 decimeter =0.2 meter 12.56 decimeter = 1.256 meter
3.14× 0.2× 0.2+1.256× 4 = 5.2752 m2.
2. What's the volume?
4 meters =40 decimeters
3. 14×2×2×40=502.4 cubic decimeter
3. If it is cut into three small cylinders, how many square decimeters will the surface area increase?
Four bottom areas are added.
Radius: 12.56÷3. 14÷2=2 decimeters.
3. 14×2×2×4=50.24 square decimeter
14. There are two bags of noodles. The weight of the second bag is 6/7 of that of the first bag. If you take 7 kilograms from the first bag and put it in the second bag, the weight of the two bags will be equal. How much do these two bags of noodles weigh?
The weight of the second generation is 6/7 of that of the first generation bag.
Imagine the first bag as a unit of 1 and divide it into 7 parts on average. The second bag is 6 servings.
Together, 7+6= 13 copies.
Change the number of copies from 13 to 26 or any other even number.
Two bags of noodles ***26, the first bag 7×2= 14 and the second bag 6×2= 12.
Take 7 kg from the first bag and put it in the second bag, and the weight of the two bags will be equal.
14 - 1 = 12 + 1.
1 is 7 kg.
The first bag 14 volume 7× 14=98.
The second bag 12 volume 7× 12=84.