1, a number consists of five tens, four hundred, eight thousand, three hundred and seven tens. This number is written as (), and the number in the unit of "ten thousand" is rewritten as () ten thousand, and rounded to ten thousand places is about () ten thousand.
2,480 square decimeters = () square meters 2.6 liters = () liters () milliliters.
3. The smallest prime number accounts for the largest two even numbers ().
4.5.4: 1.6 ratio is (), and the simplest integer ratio is ().
5. On the map of 1: 800000, Li Ting measured the distance from Beijing to Nanjing as 15cm, and the actual distance between the two places was about () km.
6. Between 0.8383 ..., 83%, 0.8333 ..., the largest number is (), and the smallest number is ().
7. The germination test with 500 seeds showed that 10 seeds did not germinate, and the germination rate was ()%.
8. The volumes of the two cylinders A and B are equal, and the ratio of the bottom area is 3: 4, so the ratio of the heights of the two cylinders is ().
9. () 20% more than 200, 20% less than ().
10, four cubes with a length of 2 decimeters are spliced into a cuboid, and the surface area of the spliced cuboid may be () square meters or () square decimeters.
Second, the judgment question
1. In proportion, if two internal terms are reciprocal, then two external terms are reciprocal. ( )
It is known that A is 20% more than B, so a:b=6:5. ( )
3. There are four numbers, 2, 4, 8, 16, all of which are composite numbers. ( )
Both rectangle and square have four symmetry axes. ( )
The numerator and denominator of a true fraction add up to the same number, and its value becomes larger. ( )
Third, multiple choice questions
1, if a×b=0, then ().
A and a must be 0 B, b must be 0 C, both a and b must be 0 D, and at least one of a and b must be 0.
2, the following figures can't be converted into a finite decimal is ().
a、9/20 B、5/ 12 C、9/ 12
3. The following figures accurate to 0.0 1 are ().
a、0.6925≈0.693 B、8.029≈8.0 C、4. 1974≈4.20
4. Put two cubes with a length of 2 decimeters into a cuboid, and the surface area of this cuboid is less than the sum of the surface areas of the two cubes by () square decimeters.
a、4 B、8 C、 16
5. Two iron wires with the same length, cut off 3/5 of it from the first one, cut off 3/8 meters from the other one, and the remaining ().
A, the length of the first root is b, the length of the second root is c, and the length is equal to d, so it is impossible to compare.
Fourth, the calculation problem
1, a number written directly.
225+475= 700 19.3-2.7= 16.6 1/2+3/4=5/4 1.75÷ 1.75= 1
3/4×2/3= 1/2 5. 1÷0.0 1=5 10 4/7×5.6=3.2 8. 1-6.5=2.6
4. 1+ 1÷2=4.6 (3.5%-0.035)÷2.25=
2. Simple calculation
( 1) 1 + 1 + 1 + 1 +...+ 1 (2)382+498×38 1
1×2 2×3 3×4 4×5 199×200 382×498- 1 16
(3) 57.5-14.25-15.75 (4)1/7×102.31+40 and 6/7×102.366.
3. Non-type calculation
6760÷ 13+ 17×25 4.82-5.2÷0.8×0.6
( 1/3+2.5)÷(2+3 2/3) (5/6× 10.68+8.52×5/6)÷ 1 3/5
4. Solve the equation
x: 1.2 = 3:4 3.2x-4×3 = 52 8(x-2)= 2(x+7)
5, column calculation
What is the quotient of the sum of (1) 1.3 and 4/5 divided by the difference between 3 and 2/3?
(2) In the division formula, both quotient and remainder are 5, and the sum of dividend, divisor, quotient and remainder is 8 1. What are dividend and divisor?
(3) 4/9 of a number is 2. 1 times greater than 1.2. What's this number?
5. Find the area of the shaded part in the figure.
Six, application questions
1. An engineering team built a highway with a length of 1600 meters, and 75% of the highway has been repaired. How many meters are left?
2. A wireless power plant produced 782 TV sets in March, 786 TV sets in April and 824 TV sets in May. How many TV sets does this factory produce on average every day?
3. The industrial output value of Huachuan Machinery Factory from June to April this year was 250,000 yuan, 300,000 yuan, 400,000 yuan and 500,000 yuan respectively. (1) Draw a statistical chart of broken lines. (2) What is the percentage of the highest output value higher than the lowest output value?
4. For a manuscript, it takes 10 days for Party A to print it alone, but this manuscript can only be printed for 5 days with 1/3. Now, how many days can you print out 50% of this manuscript?
A passenger train and a freight train leave from two cities, A and B, at the same time. It is known that the speed of passenger train is 55 kilometers per hour, and the ratio of passenger train speed to freight train speed is 1 1:9. The two trains met five hours after they left. How many kilometers is the railway between A and B?
6. It is known that the speed of the local train is 5/6 of that of the express train, and the two cars are driving in the opposite direction from Station A and bilibili at the same time, and meet at a distance of 4 kilometers from the midpoint. Find out how many kilometers is the distance between Station A and bilibili.
Answer a question.
Fill in the blanks
1、50408370 5040.837 504 1 2、4.8 2 600 3、 1/49 4、27/8 27:8 5、 1200
6、0.8383...83% 7、98 8、4:3 9、240 25 10、64 72
Second, the judgment question
1、√ 2、√ 3、× 4、× 5、√
Third, multiple choice questions
1、D 2、B 3、C 4、B 5、D
Fourth, calculation
1, slightly 2,199/200127.54194.713,945 0.920.5104,0.9205.
5.( 1)9/ 10 (2) Divider: 60 Divider: 1 1 (3)8. 1.
The verb (abbreviation of verb) finds the area of the shaded part in figure 200.
Six, application questions
1, 400m 2, 26 sets 3, statistical chart (omitted) 100% 4, 3 days 5,500km 6,88km
Difficult problem analysis
Fourth,
2.(2)382+498×38 1 Analysis The molecule in this question is 382+498× 381= 382+498× 382-498 = 498× 382-/kloc-0.
382×498- 1 16, and so is mom.
5、(2)
It is easier to solve this problem by equation, because the equivalence relation is easier to find: dividend+divisor+quotient+remainder =8 1.
You can set the divisor as x, the dividend as 5x+5, and the equation as 5x+5+x+5+5=8 1.
If solved by arithmetic, this problem belongs to a slightly complicated sum and multiple problem. The divisor is 1 times, and the quotient 5+5 means that the dividend is 5 times the divisor. 8 1 Subtract the remainder 5, quotient 5 and extra 5, and the rest is (5+ 1) multiplied by the divisor and dividend. The formula is: (8 1-5×3)÷(5+ 1), which is the divisor of two quantities.