2. Number A is 57 of number B, the ratio of number A to number B is (), and the ratio of number B to the sum of two numbers is ().
3、( ) 16 =0.75= 15∶( )=( )%。
4. If, then it is proportional to (), if, then it is proportional to ().
5, 0500 grams of 65438+56 is () grams; () 23 meters is 80 meters.
6. The scale of the precision parts drawing is 5: 1, the length of the parts measured on the drawing is 25mm, and the actual length of the parts is () mm. ..
7. The military bought 1 a *** 13 stamp at 60 cents and 80 cents, while 8 yuan spent 40 cents and 80 cents on () stamps.
8. Scientists have found that the number of petals, sepals and fruits of plants are very consistent with a strange series-1,1,2, 3, 5, 8, 13, 2 1, 34 ... Take a closer look at the above series.
9. In the case that the market is in short supply, the price of antiviral drugs operated by a pharmacy has increased by 100%. According to the investigation by the price department, the price increase is limited to 10% of the original price, so the drug needs to be reduced by ()% now.
10. When a circle is enlarged, its area is 8 times of the original, and its circumference is 50.24 cm more than the original. The original area of this circle is () square centimeters.
1 1, two cylinders and cones with the same height and the ratio of bottom radius of 1:2, and their volume ratio is ().
12. As shown in the figure, in the parallelogram, the area of A is 36 square centimeters, and the area of B is 63.
Square centimeters, then the area of C is () square centimeters.
13, 20 cubes with side length of 1cm are piled into a cuboid, in which the surface area is the largest.
The difference from the smallest is () square centimeters.
Second, careful analysis and fair judgment. (5 points)
1, a natural number, either a prime number or a composite number. ( )
2. If X and Y are two related quantities and X=Y, then X and Y are in direct proportion. ( )
3. From place A to place B, it takes 10 hour for car A and 8 hours for car B, and the speed of car B is 25% faster than that of car A ... ()
The price of a commodity is raised by 25% first, and then sold at a 20% discount in a few days. The discounted price is the same as before the price increase. ( )
5. both a and b are natural numbers that are not 0. If a×35 =b÷35 = b ÷ 35 is known, then A >；; B. ()
Second, compare repeatedly and choose the best. (5 points)
1, the alcohol content on the trademark paper on the "Wuliangchun" bottle is 42%, which means () here.
The volume of alcohol is 42% of the whole bottle of wine. B The weight of alcohol is 42% of the whole bottle of wine.
C the volume of alcohol is 42% of the whole bottle of wine. D The weight of alcohol is 42% of the whole bottle of wine.
2. The numerator and denominator of a true fraction add the same non-zero natural number at the same time, and the score value obtained must be ().
A equals the original score, and b is greater than the original score.
C is less than the original score, and D cannot be determined.
3. The original price of the same commodity in A and B supermarkets is the same. A supermarket held a "20% discount on all goods" activity, and B supermarket held a "buy five get one free" activity. My mother is going to buy 10 kg of apples, so it is more economical to buy them in () supermarket.
A, b, b and c are not sure.
4. When four cylinders of the same size are assembled into a large cylinder with a height of 40cm, the surface area is reduced by 72cm2, and the original volume of the small cylinder is () cubic centimeters.
A 120 B 360 C 480 D 720
With the increasingly fierce competition in the communication market, the original standard of a company's mobile phone local telephone tariff is to reduce one yuan per minute, and then reduce it by 25% again. The current charging standard is B yuan per minute, while the original charging standard is () yuan per minute.
A B C D
Fourth, see the topic clearly and calculate it carefully. (30 points)
1, direct write number (1× 6 = 6 points)
5.7+ 1 1.8+4.3= 2 - + = ( + )×24=
4.9×8. 1= 10. 1×99-9.9= 0.32-0.23=
2. Solve the equation (3× 2 = 6 points)
( 1)X:25 =(2)X+23 X = 103(3) 14-25 X = 10
3. Calculation of parting, simple calculation (3× 6 = 18)
( 1)34 ×59 +8 15 ÷45 (2)7×34 +34 ÷ 15
(3)(56 - 12 )÷(25 +34 ) (4)2005×
(5)56 ÷〔( 12 - 16 )÷35 〕 (6)524 ×〔 1÷(34 + 13 )〕
Part II: Hands-on practice, exploration and innovation.
1, the drawing is accurate. The following L-shaped figure is composed of small squares. Please add a square in the following figure in three different ways to make it an axisymmetric figure (3 points).
2. Measure the relevant data of the semicircle below and calculate its perimeter and area. (Unit: cm) (4 points)
Part III: Step into life and solve problems.
One, only the formula or equation, not calculation. (3× 3 = 9 points)
(1) Zhang Ling read a story book of 120 pages. On the first day, he read 3 10. The next day, he read 15. How many pages did he read less than the first day?
(2) A pesticide is prepared from liquid medicine and water in the ratio of 1: 1000. How many kilograms of water does it take to make 5005 kilograms of pesticides?
(3) The typist typed a manuscript with 12 pages on the first day, 13 pages on the second day, and 5 12 pages on the second day. How many pages are there in this manuscript?
Second, solve the problem. (1 ~ 2 questions with 6 points each; 3 to 5 questions, 3 points for each question; Question 6, 2 points)
1. The school bought 30 big towels and 40 small towels to spend 700 yuan. It is known that the price of each small towel is 12 for each large towel. How much is each big towel and each small towel?
2. The classroom floor needs 2000 square bricks with side length 15cm; If you use square bricks with a side length of 25 cm, how many pieces do you need?
3. The volume of the cone is 24 cubic meters, and the bottom area is 12 square meters. What is the height of this cone?
4. When a car arrives at point B from point A, the ratio of the sum of three-hour trips to the whole journey is 1∶3. If you walk another 45 kilometers and just reach the midpoint between A and B, how many kilometers is there between A and B?
5. A fruit shop goes to the apple producing area to buy apples, the purchase price is per kilogram 1.2 yuan, the producing area is 400 kilometers from the store, and the freight is per kilometer per ton 1.5 yuan. If the loss is 65,438+00% during transportation and sales, the store wants to achieve a profit rate of 25%. How much should it cost per kilogram?
6. Uncle Zhang buys a house and pays by installments: One payment method is to pay 50,000 yuan in the first year and 1 10,000 yuan every year thereafter; Another way of payment is to pay 14000 yuan a year in the first half and 10000 yuan a year in the second half. The total payment amount and payment period of the two payment methods are the same. If you pay in one lump sum. The house can be paid less 16000 yuan. Now uncle Zhang has paid the payment in one lump sum. How much should he pay?
Comprehensive exercise-correction exercise
fill (up) a vacancy
1, find the rule
( 1)2,2,4,6, 10, 16,( ),( )
(2)34,2 1, 13,8,5,( ),2,( )
(3)0, 1,3,8,2 1,( ), 144
2.( 1) From A to B, it takes 4 hours for A train and 5 hours for B train. The speed of train B is ()% slower than that of train A, and the speed of train A is ()% faster than that of train B.
(2) Party A and Party B make the same parts, with Party A making 10 hours and Party B making 8 hours. Party A's work efficiency is slower than Party B's ()%, and Party B's work efficiency is faster than Party A's ()%.
(3) It takes 13 hours for Party A to make a part, and 14 hours for Party B to make a part. The work efficiency of () is higher, which is ()%.
2.( 1) The price of antiviral drugs operated by a pharmacy is increased by 60% when the market is in short supply. After the investigation by the price department, the price increase can only be limited to 10% of the original price, so now it is necessary to reduce the drug price by ()%.
(2) When shopping malls carry out promotional activities, a commodity will be reduced by 50% first, and the sales volume will increase greatly, and then the price will be increased by 30%. Compared with the original price, the actual price of this commodity has been reduced by ()%.
3.( 1) When a circle is enlarged, its area is 8 times of the original, and its circumference is 25. 12 cm more than the original. The original area of this circle is () square centimeters.
(2) When a circle is enlarged, its area is four times of the original, and its circumference is more than the original 12.56 cm. The original area of this circle is () square centimeters.
4.( 1) Stack six cubes with side length of 1cm into a cuboid, where the maximum surface area is () cm2 and the minimum surface area is () cm2.
(2) Stack 24 cubes with side length of 1cm into a cuboid, where the difference between the maximum surface area and the minimum surface area is () cm2.
2. Find the perimeter and area of the shaded part in the figure below (unit: cm).
1、
The radius of the semicircle bottom is 4cm. Find the perimeter and area of this semicircle.
3. The circumference of a semicircle is 10.28 cm. How many square centimeters is the area of this semicircle?
Third, the application problem.
1. Party A and Party B each manufacture 550 parts, and the ratio of parts manufactured by both parties is 4: 7. How much did they each do?
2. A pesticide, which is prepared from liquid medicine and water in the ratio of1:100. How many kilograms of water does it take to make 505 kilograms of pesticides?
3. Party A and Party B make 450 pieces, and the ratio of pieces made by two people is 5: 4. How many pieces is B less than A?
4. The proportion of parts made by Party A and Party B is 9: 7, and Party A makes 20 more. How many parts are there in this batch? How much did A do?
5. The proportion of a car's five-hour journey from A to B is 1: 4. If you go further 60 kilometers, just to the midpoint between A and B, how many kilometers is there between A and B?
6. After 3 hours from A to B, the ratio of the distance traveled to the distance not traveled is 1: 3. If you drive another 45 kilometers and just reach the midpoint between A and B, how many kilometers is there between A and B?
7. A car goes from A to B, and after 3 hours, it has not traveled more than it has traveled 13. If you walk another 45 kilometers, just to the midpoint between A and B, how many kilometers is there between A and B?