Fill in the blanks.

1. The height of a cylindrical food can is 15.7 cm. When the side wrapping paper is unfolded, it is just a square, and the bottom area of this can is () square centimeters.

2, the denominator of the fraction is certain, and the numerator is directly proportional to the fractional value ().

3. The side length of a square is proportional to its area.

4. The ratio of the sum of number A and number B to its difference is 7: 5, and the ratio of number A and number B is ().

5. The sum of the sides of a cuboid is 72 decimeters, the ratio of length to width to height is 5: 3: 1, and the volume is () cubic decimeters.

6. The speed ratio of Party A and Party B is 3: 4, that of Party B and Party C is 2: 3, and that of Party A and Party C is ().

7. The difference between two numbers is the minuend, and the ratio of the minuend to the difference is ().

8, a parallelogram and a triangle, their base length ratio is 1: 2, height ratio is 1: 2, and area ratio is ().

9. Party A and Party B each go part way. Their speed ratio is 3: 4 and their distance ratio is 7: 5, so the required time ratio is ().

10, a batch of parts, the master can do 25 hours, the apprentice can do 12 hours. If the master does 15 hours, the apprentice can do it for 20 hours. The simplest ratio between master and apprentice is ().

1 1, a batch of goods, 50% shipped, the remaining 50%, and now the ratio of goods to original goods is ().

12. Saw the cylinder with the height of 1m into two sections, and the surface area increased by 4 square decimeters. The original volume of this cylinder is () cubic decimeter.

13. If the radius of the bottom surface of the cylinder is enlarged by 2 times and the height remains the same, its side surface area will be enlarged by () times and its volume will be enlarged by () times.

14. 180.2 square meters The whole square meter is about () square meters, and the whole hundred square meters is about () square meters.

15. Enlarge the radius of the cone by 2 times, the height by 3 times and the volume by () times.

16, a piece of wood with a side length of 6 decimeters is processed into the largest cylinder, and the volume of this cylinder is () cubic decimeter.

17, the height and volume of cylinder and cone are equal respectively. It is known that the bottom area of a cylinder is 13.5 cm2, and the bottom area of a cone is () cm2.

18. The volume of a cylinder is equal to the volume of a cone. It is known that the height of the cylinder is the height of the cone, and the bottom area of the cylinder is the bottom area of the cone.

19. If a cylinder with a bottom radius of 4 cm and a height of 5 cm is cut in half evenly along the bottom diameter, its surface area will increase by () square cm.

20. When the circumference of a circle increases by 20%, the area of the circle increases by ()%.

2 1, the product of two internal terms is, one external term is 8 and the other external term is ().

22.A is 1.5 times that of B. The ratio of A to B is (), and A is ()% more than B. ..

23, 40 is less than 50 ()%, 70 is more than () 40%.

24, cylinder and cone height is equal, the volume of the cone is less than the cylinder ().

25, with "ten thousand" as the unit, the exact number of 500,000 is at most different from the approximate number of 500,000 ().

There are () prime numbers within 26 and 50, and the 10 prime number is ().

27. The denominators of the three numbers are not greater than 12, and they are different fractions. Their sum is, and these three numbers are () respectively.

28. A× 120%= is known, and the descending order of A, B, C and D is ().

29. At 6: 45 on the clock face, the minimum angle formed by the hour hand and the minute hand is ().

30. the number a is twice smaller than the number B. After the decimal point of the number B is moved two places to the left, the original sum of the two numbers is ().

The denominator and numerator of 3 1 subtract the same number, and the subtracted number is ().

32. A batch of exercise books are distributed to students in two classes equally, and each student can get 6 copies. If it is only distributed to Class A, each student can get 15 copies. Now it is only assigned to Class B, and the first person can get () copies.

33. There are several workers in Workshop A and Workshop B. If Workshop A has 40 workers, the ratio of the number of workers in Workshop A and Workshop B is 2: 1. If there are 20 workers in workshop B, then the ratio of workers in workshop B and workshop A is 5: 6, with () workers in workshop A and () workers in workshop B. ..

34. The length of the rope is equal to its own length plus meters. This rope is () meters long.

35. If the height of a cylinder is shortened by 3cm, its surface area will be reduced by 94.2cm2. Its bottom radius is () cm and its volume will be reduced by () cm3.

36. The average value of two consecutive even numbers is 7, which are () and () respectively.

37. It is known that A=2×2×5, B=2×3×5, the greatest common divisor of AB number is (), and the smallest common multiple is ().

38. The radius of the cylinder bottom is 1 cm. If the height of the cylinder is shortened by 3 cm, its surface area will be reduced by () square cm.

39. () More than 20, 20% less than 30, 30% is ().

40、A+B=60，A÷B=，A=()，B=().

4 1 and 1 cubic decimeter 1 cube can be divided into () cubes 1 cubic centimeter. If these cubes are arranged in a row, their length is * * * meters () decimeters.

The ratio of 42,3.75:1.25 is (), and the simplest ratio is ().

43. A cylindrical bucket, with a diameter of 4 decimeters and a depth of 5 decimeters, now pours 47. 1 liter of water into the bucket, and water accounts for ()% of the bucket volume.

44. Last year, Zhang Gang purchased a national construction bond with a maturity of 5,000 yuan. If the annual interest rate is 3.25%, he can get the principal and interest at maturity.

45. Li Shifu has processed a batch of parts, 80 pieces have been processed, and 20 pieces have not been processed, accounting for ()% of this batch of parts, and the number of unprocessed parts is more than that of processed parts ()%.

46. Dig a cellar 4 meters long, 3 meters wide and 2 meters deep. This cellar covers an area of () square meters.

47. Among the numbers within10, the number that is both even and prime is (), and the number that is both odd and composite is ().

48. After the typist prints a manuscript 18 hours, there is still () left per hour to finish printing the manuscript, and the rest takes () hours to finish printing.

49. For those who read the whole book in one hour, the ratio of pages read to pages of the whole book is (): (), and the ratio of pages read to pages not read is (): ().

50. The radius of the great circle is 3 cm, the radius of the small circle is 2 cm, the ratio of the circumference of the great circle to the circumference of the small circle is (), and the ratio of the area of the great circle to the small circle is ().

5 1, the sum of a and b is 40, A: B = 5: 3, a is () and b is ().

Second, judge.

1. The number of subscriptions to China Youth Daily is directly proportional to the amount of money. ( )

2. The number of turns of bicycle wheels is out of proportion to the distance traveled. ( )

3. It takes more time for Party A to do a project alone than for Party B, and the efficiency ratio between Party A and Party B is 4: 3. ( )

4. The numerator is fixed, and the denominator is directly proportional to the fractional value. ( )

5. Natural a(a is not equal to 0) is inversely proportional to its reciprocal. ( )

6. The distance traveled by the car is in direct proportion to the number of revolutions of the wheel. ( )

7.A÷ (A and B are not equal to 0), then A: B = 3: 10. ( )

8. The line segment from the apex of the cone to any point on the diameter of the bottom surface is called the height of the cone. ( )

9. The perimeter of the bottom surface is 15.7cm, and the side area of the column with 2m height is 31.4cm2. ().

10, cylinders and cuboids have the same height, so their volumes are equal. ( )

1 1. Divide a cylinder into two small cylinders on average, then the surface area of the small cylinder is the original surface area.

( )

12. Cut a cylinder into the largest cone, and the ratio of the volume of the cut part to the volume of the cone is 1: 2.

( )

13, the circumference at the bottom of the cylinder is enlarged by 2 times, the surface area of the cylinder is enlarged by 4 times and the volume is enlarged by 8 times. ( )

14, any natural number (except 0) is inversely proportional to its reciprocal. ( )

15, the volume of the cone is cylindrical. ( )

16. The volumes of two cylinders are equal, and their surface areas are also equal. ( )

17, a number can be divisible by b number, and b number must be the greatest common divisor of a number and b number. ( )

18, the price of a commodity rises first and then falls. The current price of this commodity is the same as the original price. ( )

19, the sum of three consecutive natural numbers is m, so the largest number is (). ( )

20. The number of A is 4 times less than that of B, which is 8, and B is 2 ... ()

2 1, a number can be divisible by b number, and b number must be the greatest common divisor of a number and b number. ( )

22 and 5 are prime factors. ( )

23. Except 2, all prime numbers are odd numbers. ( )

24. The volume of a cone is cylindrical. ( )

25. Two straight lines that do not intersect in the same plane are called parallel lines. ( )

26. Two numbers with common divisor 1 are called prime numbers. ( )

27. 2.963 Keep one decimal place as 3. ( )

28. The line segment passing through the center of the circle is the diameter. ( )

29. Because the denominator of contains a prime factor of 3, it cannot be reduced to a finite decimal. ( )

30. Two coprime numbers must both be prime numbers. ( )

3 1, a number multiplied by a true fraction, the product must be greater than this number. ( )

32. The total cultivated land area on the earth is certain, and the per capita cultivated land area is inversely proportional to the total population. ( )

33. Of these two line segments, line A is longer than line B, that is, line B is shorter than line A .. ()

34. The ratio of circumference to diameter of a circle is 3. 14. ( )

35. Cuboids with equal bottoms and equal heights have the same volume as cylinders. ( )

36. The denominator of a fraction contains a prime factor of 2 or 5, and this fraction must be reduced to a finite decimal. ( )

37, 15÷5=3, so 15 is a multiple and 5 is a divisor. ( )

Third, multiple choice questions.

1, the denominator of the fraction must be certain, and the numerator and fractional value ().

① Direct ratio ② Inverse ratio ③ Out of proportion.

2. The side length of a square and its area ().

① Direct ratio ② Inverse ratio ③ Out of proportion.

3, a batch of goods, shipped 50%, the remaining 50%, now the ratio of goods to the original goods is ().

①4:3 ②3:4 ③ 1: 1 ④ 1:2

4. The number of A is more than that of B 10%, and the number of B is less than that of C 10%. Compare the numbers of A and C ().

① A is big, ② C is big, ③ uncertain.

5. The formula that shows that X and Y are directly proportional is ().

①x+y = 6②y = x×③xy = 7

6. If there are 75% more pine trees than cypress trees, then the ratio of pine trees to cypress trees is ().

①4:7 ②7:4 ③3:4

7, the volume of the cylinder is constant, if the height is expanded by 2 times, the bottom area should be ().

① Magnify by 4 times; ② Reduce by 4 times; ③ Enlarge by 2 times; (4) reduced by 2 times.

8. If the height and volume of the cone and the cylinder are equal, the bottom area of the cone is () of the bottom area of the cylinder.

①3 times ② 39 times

9. How much road surface can be pressed down by the front wheel of the roller when it rotates for one cycle refers to ().

① Two-lap area of front wheel ② Outside area of front wheel ③ Surface area of front wheel.

10, the base area and height of the cuboid and the cone are equal respectively, and the volume of the cuboid is the volume of the cone ().

① Three times, ② Two times, ③ ④ Not sure.

1 1, the bottom areas of cylinder and cone are equal, and the volume ratio is 3: 1, so the high ratio is ().

① 1: 1 ②3: 1 ③ 1:3

12. Make a section of cylindrical steel into the largest cone, and cut off a part with the weight of 10 kg. This round steel weighs () pounds.

①30 kg ② 20 kg ③ 5 kg ④ 15 kg

13, the ratio of the side lengths of two cubes is 3: 1, and the volume of the small cube is the volume of the big cube ().

① ② ③ ④

14, the volume of the cylinder is constant, and the radius and height of the bottom surface ().

① Direct ratio ② Inverse ratio ③ Out of proportion.

15, it is known that the volume of a cone is 20 cubic centimeters, and the bottom of a cylinder is the same as it. To make the volume of this cylinder 30 cubic centimeters, its height should be the height of the cone ().

① Twice ② ③

16, it is still a number after adding it, and this number is ().

① 1 ② ③0

17 and 24 have () divisors.

① 10 ②8 ③6 ④4

18, the cylindrical steel with the length of 1.2m is cut into three sections according to 1: 2: 3, and the surface area is increased by 56 square centimeters. The longest section of the three sections of round steel is larger than the shortest section ().

①560 cubic centimeters ② 1600 cubic centimeters ③ 840 cubic centimeters ④ 980 cubic centimeters.

19.100g salt water with salt content of 5% is added100g salt and 40g water, and the ratio of salt to water is ().

①20: 1 ② 1: 10 ③ 10:9 ④ 1:9

20. The actual length of a part is 8 mm, but the length measured on the drawing is 4 cm. The scale of this picture is ().

①1:2② 25:1③1:5④ none of the above are correct.

2 1, put an m-meter-long iron wire into a square and then into a circle, and their area is ().

① The square is big, ② the circle is big, ③ the size is the same, ④ it cannot be compared.

22, if a represents the same natural number, then in the following formula, the largest number is ().

①a÷②÷a③a×

23. In the next few years, () is a leap year.

① 1990 ② 1992 ③ 1900.

24, the five-pointed star on our national flag is an axisymmetric figure, it has a () axis of symmetry.

① 1, ② 22, ③ 3, ④ 4, ⑤5.

25. The reciprocal of two quantities is the quantity of ().

① Direct ratio ② Inverse ratio ③ Out of proportion.

26. Cut a cylindrical piece of wood into the largest cone, and the cut volume is the volume of the cone ().

① 1 time ② 2 times ③ 3 times

27, a rope cut into two sections, the first section is meters long, and the second section accounts for the whole length, then ().

① The first paragraph ② The second paragraph ③ The two paragraphs are the same length ④ Uncertain.

28, x is a natural number that is not 0, and the number of () is the largest in the following categories.

① ② ③ ④

29, coprime two numbers ().

① It must be prime number ② It must be odd number ③ There is no common divisor ④ Only common divisor 1.

30, the circumference of the circle and its radius ().

① Direct ratio ② Inverse ratio ③ Out of proportion.

Tree planting activities were carried out in grades 3 1 and 4, and 100 plants survived, but 25 plants did not survive, and the survival rate was ().

①25% ②80% ③75%

Fourth, column calculation.

1. In a proportional formula, the two external terms are the smallest prime number and the largest number respectively, and one of the internal terms is the smallest two-digit composite number. What is another internal term?

What is the quotient of 2.80 12% plus 1.25 divided by 0.75?

3, 15 is four times smaller than a number, 12, what is this number?

4. What is the sum of the reciprocal of and the quotient of division?

5. A certain number is more than 0.4 times that of 4.8. What's this number?

6. The quotient of a number plus division is 6. What's this number?

5. Use a simple method to calculate.

1、3.5×0.8+5.5×80%+0.8

6. Find the volume below. (Unit: cm)

Seven, find the area of the shadow part. (Unit: cm)

1、

2、

Eight, application questions.

1, a bicycle and a motorcycle set off from two places with a distance of 6 17.5 kilometers respectively, and meet after 6.5 hours. If the speed ratio of bicycles and motorcycles is 6: 13, how many kilometers do bicycles and motorcycles travel per hour?

2. There is a cup of sugar water, and the sugar water ratio is 1: 20. If you add 2 grams of sugar, the weight of this cup of sugar water is 44 grams. What is the weight of water in sugar water?

There are two piles of coal. The first pile was transported away, and the second pile was partially transported away, leaving 60%. The weight ratio of the remaining first pile to the second pile is 3: 5, and the raw coal of the first pile is 1.20 tons. How many tons of raw coal is the second pile?

4. Originally, the ratio of money between Party A and Party B was 7: 3. Now Party A gives 60 yuan to Party B, and the ratio of money between Party A and Party B is 2: 3. How much does Party A and Party B have now?

For a rectangle, its length-width ratio is 3: 2. If you add another 2 meters, the circumference of this new rectangle will be 24 meters. Find its aspect ratio.

6. Cone-shaped sand pile with a bottom area of 25.12m2 and a height of1.8m.. How many meters can a road with a width of 10 meter be paved with a thickness of 3 cm?

7. Saw a cylindrical iron bar with a length of 1m into three sections (each section is still cylindrical), and the surface area increased by 0.36 square decimeter. What is the volume of this iron bar?

8. The side area of a cylindrical rod is six times that of its bottom surface, and its bottom surface radius is 1 decimeter. How many cubic decimeters is its volume?

9. Cylindrical containers A and B have the same depth, and the bottom radii are 3cm and 4cm respectively. Fill container A with water and pour it into container B, the water depth is lower than that of container 1.2cm. How many centimeters is the depth of this container?

10, PLA soldiers went camping for training, * * * 7.35km. In the first half hour, they took the mountain road, with an average of 3km per hour, and then took the flat road, with an average of 4.5km per hour. They walked on the flat road for hours.

1 1. Two water inlet pipes, A and B, are installed in a rectangular water tank with a length of 40cm, a width of 50cm and a height of 60cm respectively. Open tube A first, and then both tubes will be opened at the same time. The following line chart shows the water inflow. Please answer the following questions according to the chart.

(1) How many minutes after the opening of pipe A, pipes B and A began to feed water at the same time?

(2) What is the water depth of the water tank when the B pipe starts to fill with water?

(3) The pipes A and B are fed with water at the same time. How many milliliters of water is injected every minute?

12. There are 162 people in Factory A and Factory B, and the number of people in Factory A and Factory B is equal. How many people are there in Factory A and Factory B respectively?

13, Xiaohua climbs the mountain at a speed of 2 kilometers per hour. After reaching the top of the mountain, he immediately went down the mountain at a speed of 6 kilometers per hour. What is the average speed of floret going up and down the mountain?

/kloc-42 students from Class 0/4 and Class 6 (1) took a group photo as a souvenir. When taking a 6-inch group photo, you can attach two photos. 5.2 yuan. If extra printing is needed, the charge for each photo is 0.7 1 yuan. Now every student will get a photo. How much does everyone pay on average?

15. In a math exam, the average score of a class is 78, and the average scores of boys and girls are 75.5 and 8 1 respectively. What is the number of boys in this class?

16, there are two cylinders with equal bottoms, and the height ratio is 4: 5. It is known that the volume of the first cylinder is 48 cubic centimeters. How many cubic centimeters is the volume of the second cylinder more than that of the first cylinder?

17, Party A * * * transports 108 tons of goods. If Party A hands over the task to Party B, the ratio of Party A's transportation task to Party B's transportation task is 5: 4. How many tons of transportation task was originally assigned by Party A?

18. There is a cuboid block with side lengths of 8 decimeters, 6 decimeters and 4 decimeters respectively, and cut it into conical blocks with the largest volume possible. What is the volume of this cone?

19. There are two bags of cement. The first bag weighs 96 kilograms. If you take it out from the first bag, take 20% from the second bag. At this time, the ratio of remaining cement in the first bag and the second bag is 4: 3. How many kilograms of raw cement is the second bag?

20. Xiaohua walks from home to school at a speed of 100 meter per minute and arrives at school on time. If you speed up every minute, you can get to school three minutes earlier. How far is Xiaohua's home from school?

2 1. A commodity is sold at a reduced price according to seasonal changes. If the price is reduced at the current price 10%, it will still make a profit 180 yuan. If we reduce it by 20%, we will lose 240 yuan. What is the purchase price of this commodity?

22. Someone rode a bicycle from place A to place B, and the first 20 branches completed the whole journey. Then he sped up, driving 60 meters more every minute than before. After driving 15 minutes, there is still 1.8 kilometers from B. How many kilometers is there between A and B?

23, processing a batch of parts, a alone to do 20 days to complete, b alone to complete this batch of parts every day. Now, two people have cooperated to complete these parts. Party A rested for 2.5 days, while Party B rested for several days, so it took 15 days to complete it all. B how many days did you rest?

24. There are 50 fewer peach trees in the orchard than apple trees, and 40% of apple trees are equal to peach trees. The ratio of pear trees to apple trees is 2: 3. How many fruit trees are there in the orchard?

25. The height of a cylindrical container with a bottom radius of 6 cm is equal to that of a conical container with a bottom radius of 9 cm. Now, fill the conical container with water and pour it into the cylinder. The water depth is lower than that of the container1.5cm. How many centimeters is the cylindrical container?

26. The surface area of a cuboid is 60 square centimeters. If you cut it evenly, it will only become two identical cubes. How many square centimeters is the surface area of each small cube?

27. The ratio of boys and girls participating in a math contest in a school is 6: 5, and then five girls are added. At this time, the number of girls is the number of boys. How many girls took part in the math contest?

28. The ratio of the two track and field teams in the school is 4: 3. If five people are transferred from team one to team two, the two teams are equal in number. How many people are there in the first team?

29. The bus is limited to 45 people, and the car is limited to 25 people in 800 yuan for one day, and 500 yuan for one day. There are 364 teachers and students traveling one day. How to send a car is the most economical. How much will it cost at least?

30. Processing clothes with a batch of cloth. If you use it as a coat, you can make 20 pieces. If it is used to make pants, it can be made for 30 yuan. Now, you first make five pairs of trousers from this cloth, and the rest are processed into suits. How many sets of clothes can you process?

3 1, two cars, Party A and Party B, walked in opposite directions from two cities at the same time, and met four hours later. When they met, the driving distance ratio of the two cars was 5: 4. It is known that car A travels 8 kilometers per hour more than car B. How many kilometers did car A and car B travel from departure to meeting?

32. A factory has 500 employees. At the beginning of the year, 40% employees were fired. Later, some laid-off employees returned to work. How many people have returned to work after being laid off?

33. A manuscript, A single print 10 day, B single print 5 days can only complete this manuscript, now two people cooperate, how many days can it be printed?

34. There are a number of computers in Computer City. After selling 62.5% of the total, 270 units were shipped. At this time, the ratio of the number of computers in the computer city to the original number is 6: 7. How many computers are there in the computer city?

35. Zhang Ming has read a book. On the first day, he read 20% of the content. The next day, he read 34 more pages than the first day. How many pages did Zhang Ming read on the first day?

36. There are two classes in Grade Six, and the number of students in Class One is 20% more than that in Class Two. If there are 12 students in class one to class two, then the ratio of class two is 9: 13. How many students are there in each class?

37. A county held a long-distance race, and the athletes ran 5 kilometers from the starting point and returned to the starting point. The leading athlete runs 320 meters per minute, and the last athlete runs 305 meters per minute. Two athletes met a few minutes after the start of the game.

Nine, operation questions.

The picture on the right is a cross-sectional view of a machine part drawn with the ratio of 1: 40. Measure the radius of the circle in the drawing and calculate the actual area of the circle.