2, a car driving speed is 60km/h, b car driving speed is 50km/h, a car and b car to complete the time ratio is ().
3, a job, Xiaohong needs 4 hours to complete, Xiaodong needs 5 hours to complete, Xiaohong and Xiaodong's work efficiency ratio is ().
4. The ratio of sides of two squares is 4∶3, the ratio of perimeters is (), and the ratio of areas is ().
5. The side length ratio of two cubes is 3: 1, their surface area ratio is (), and their volume ratio is ().
6. There is a rectangular vegetable field in my uncle's house. He measured the perimeter of the vegetable field about 50 meters with a ratio of length to width of 3: 2. So, how many square meters is the vegetable field?
*7. Draw a rectangle with an area of 24 cm2 with an aspect ratio of 3: 2. How long should the length and width be
8. Enclose a rectangular frame with 36 cm long wire. The ratio of length, width and height of this rectangle is 3: 2: 1. What is its volume?
9. The ratio of the three numbers A, B and C is 2∶3∶7, and the average value of the three numbers is 48. What is the number b?
10, the ratio of number A to number B is 3: 4, the ratio of number B to number C is 5: 6, and what is the ratio of number A to number C?
1 1. The number of students in a class is between 40 and 60, and the ratio of boys to girls is 7: 8. How many boys may there be?
12. The school distributed 360 science and technology books to Class A, Class B and Class C. Class A equals Class B and Class C. How many books were distributed to Class A, Class B and Class C respectively?
The sixth grade mathematics examination questions 2 1. Fill in the blanks.
1. In proportion, the two external conditions are mutual. If one internal item is 0.5 and the other internal item is ().
2. Rewrite 4A=B 15 into a ratio of A: B = (): ().
3. () in division, () in fraction and () in ratio cannot be 0.
4.7: 10, the former item is increased to 10.5, and the latter item should be increased () to keep the proportion unchanged.
5. On the plan, the distance between the ground 120km is represented by a distance of 4cm, and the scale of this figure is ().
6. To process a batch of parts, it takes 8 hours for Party A to do it alone, and it takes 10 hour for Party B to do it alone. The work efficiency ratio of Party A and Party B is (). If two people process at the same time, after completion, Party A will make () of this batch of parts.
7. The rectangle has a certain area, and its length and width are directly proportional to (); The length of a rectangle is fixed, and the area and width are proportional to ().
Second, calculation.
1. Find the ratio of 2. Simplified proportion
55: 22 3: 0.12125kg: 0.25t 12.6: 0.03.
3. Solution ratio
Third, comprehensive application.
1. A fish pond breeds grass carp, carp and white flour fish according to 1: 2: 3. There are 6666 carp known. How many grass carp and white flour fish are raised respectively?
2. Build staff dormitory. It is planned to use 240 water pipes with a length of 6 meters. Later, an 8-meter-long water pipe was replaced. How many pipes do I need?
3. Xiao Ming reads a story book, and the ratio of pages read and unread is 1: 5. If he reads another 30 pages, the ratio of pages read and unread is 3: 5. How many pages are there in this book?
Class 3, Grade 6 Math Test _ _ _ _ _ Name _ _ _ _
Write the quantitative relationship according to the line segment diagram first, and then answer:
There are 48 students in the class.
60% of boys are girls? mankind
( )( )=( )
Television? platform
Increase output by 30%
Last year:
This year:
26,000 TV sets
( )( )=( )
Second, solve the problem:
1. Xiaoming has read 480 pages of books and has read 60%. How many pages are left?
Xiaoming has read 60% of a book, and there are still 480 pages left. How many pages are there in this book?
Xiaoming has read 480 pages of books, 60% more than others. How many pages are there in this book?
Xiao Ming has read 60% of a book, 80 pages more than the rest. How many pages are there in this book?
5. Xiaojun spent 17 yuan to buy a book, which was cheaper than the original 15%. What is the original price of this book?
Xiaoming's family bought a bag of rice. In the first week, he ate 9 kilograms. In the second week, he ate 40%, leaving 6 kilograms. How many kilograms is this bag of rice?
Sixth grade math test 4 i. Sit in the right position.
2.3.6kg = () g 0.75 = () min。
3700 kg = () tons 3500 square centimeters = () square decimeter.
The left part of the decimal point is called () part, the right part is called () part, the third place on the left of the decimal point is (), the counting unit is (), the third place on the right of the decimal point is (), and the counting unit is ().
4. Enlarge 1.6 by () and reduce 1000 by ().
5. Saw the 3-meter-long steel pipe into 5 sections on average, each section is full-length, each section is () meters long and each section is 6 meters long.
6.===( )8=( )%
Second, the age order (fill in, =,).
1000 1 ○ 9999 2. 145 ○ 2. 154 250,000 ○ 249,000.
○0.44 1% ○0.0 1 ○37%
Third, distinguish between right and wrong.
1. Numbers greater than 0 are positive and numbers less than 0 are negative. ( )
2. A seven-digit number, the highest digit is one million. ( )
There is only one decimal between 0.4 and 0.6. ( )
4. Integer is greater than decimal. ( )
Fourth, challenge yourself: a fraction, the sum of numerator and denominator is 44. If both numerator and denominator are added with 4, the score will be reduced to ().
The sixth grade math test is 5 1. Fill in the blanks: (20 points)
1, a number consists of 500 million, 39 million and 74 thousand. This number is written as (), and the mantissa after omitting ten thousand is about ().
Millions, written in hundreds of millions is ().
2. The smallest three digits divisible by multiples of 2 and 3 is ().
The prime factor of decomposition is ().
3. Cut the 5-meter-long rope into 6 sections on average, and each section accounts for () of the whole length.
Each segment is 10 meter long.
4. 1.08 tons = () tons () kg 3 days and 8 hours = () days.
8 cubic meters 16 cubic decimeter = () cubic meters
5. Given that A=2×2×3 and B=2×3×5, the greatest common divisor of A and B is () and the least common multiple is ().
6. Cylinders and cones are equal in height. If the volume of a cone is 18 cubic centimeter, then the volume of a cylinder is () cubic centimeter.
7. The scale of the map is 1:3000000. The measured distance between A and B is 4.5cm, and the actual distance is () km.
8. It takes 3 hours for Party A to drive the same distance, 4 hours for Party B, and the speed ratio between Party A and Party B is ().
9, in a certain period of time, the time spent on manufacturing a part is proportional to the number of such parts ().
10、0.75 =( )÷20 = 20:( ) =( )%
True or false: (tick right, x wrong) (10)1. There are 98 workers in a workshop, all of whom leave work in one day, and the attendance rate is 98% ().
2. Two composite numbers cannot be prime numbers. ( )
3. The quotient of a number divided by the true fraction must be greater than this number. ( )
4. If 3X=5Y, then x: y = 5: 3. ( )
5. Two triangles with the same area can definitely make a plane quadrilateral. ( )
Iii. Multiple choice questions: (fill in the serial number of the correct answer in brackets) (10)
1, 500g brine contains 50g salt, and the ratio of salt to water in brine is ().
⑴ 1:9 ⑵ 1: 10 ⑶ 1: 1 1
2,3: 2 and () can form a ratio.
⑴2:3 ⑵ 1.5 : 1 ⑶ 1: 1.5
3. The following () cannot be converted into a finite decimal.
⑴ ⑵ ⑶ ⑷
4. Make a cylindrical ventilation pipe with iron sheet, and how much iron sheet is needed for the ventilation pipe ().
(1) volume (2) volume (3) side area (4) surface area.
5. Given 3x+3= 12, 2x+ 1= ()
⑴ 7 ⑵ 14 ⑶ 9 ⑷ 8
Four, calculation questions: (24 points)
1, numbers written directly: (4 points)
30- 19.02 = ÷2÷ =
1-0.49+0.06= ( + )×4=
2. Simple operation: (6 points)
25× 12.5×3.2 2.75×29- 1.75×29
4. Find the unknown X: (6 points)
X- 0.8X -6= 16 :X = :2
5. Title: (8 points)
(1) A number plus 50% of it equals 7.5. Find this number.
(2) Subtract 0.7 from 4.8 and divide it by the quotient of 0. 14, and then divide the difference by 1.5. How much did you get?
Verb (abbreviation of verb) application topic: (36 points)
1, Guangming shoe factory produced 26,800 pairs of shoes in June, an increase of 2,500 pairs over the original plan, by what percentage?
2. A pile of coal is cone-shaped, with bottom circumference12.56m and height1.2m.. If each cubic meter of coal weighs about 1.4 tons, how many tons does this pile of coal weigh? (Keep the whole ton as a figure)
3. A car travels from A to B with a speed of 28km/h and arrives in 4.5h.. If it takes 4 hours to get there, how many kilometers per hour will it take? (Solve with proportional knowledge)
4. It takes 65,438+00 days for car A and 65,438+05 days for car B to transport 800 tons of grain. How many days does it take for two cars to transport together?
5. Red Star Machinery Factory has to process 900 parts, which was originally planned to be completed in 30 hours. After improving the process, more 10 pieces are processed per hour than originally planned, so how many hours can the task be completed?
6. During the summer vacation, the whole class made 49 small productions, and what girls did accounted for what boys did. How many pieces do boys and girls make? (Equation solving)
Sixth grade math test 6 1. Write a formula with the letters in ().
(1) sum of 3× addition (), product of 3× multiplication ().
(2) A batch of coal has a ton, which has been burned for 8 days, burning an average of m tons every day, and there are () tons left.
(3) The radius of the cylinder bottom r, the height h and the volume v= ().
(4) Pine trees are y meters high, poplar trees are 5 meters lower than pine trees, and poplar trees are () meters high.
(5) Xiaoming is one year old and Xiaohua is b years old. X years later, the difference between them is () years.
Second, solve the equation.
1.25 x÷0.25 = 48.5+65% x = 15x-x =
Third, the judge.
The (1) equation must be an equation, and the equation must be an equation. ()
(2) Both sides of the equation are multiplied or divided by the same number at the same time, and the result is still an equation. ()
(3) There are 600 beef cattle in the livestock farm, twice as many as 80 cattle. How many cows are there? Can be listed as
600÷2+80。 ()
Fourth, choose.
1. In the following formula, () is an equation.
a、25xB、 15-3= 12C、6x+ 1=6D、4x+7 & lt； nine
2.x=3 is the solution of the following equation ().
a、2x+9= 15B、3x=4.5C、 18.8÷x=4D、3x÷2= 18
3. When a=4, b=5 and c=6, the value of bc-ac is ().
a、 1B、 10C、6D、4
In the fifth grade, 60 trees were planted, 4 fewer than in the fourth grade. Planting trees in the fourth grade ().
a，26 B，32 C， 19 D，28。
5. Solve the following problems by listing equations.
(1) There are 650 chickens in a chicken farm, and the number of hens is 1.6 times that of roosters. How many hens are kept in the chicken farm?
(2) The school has carried out interest group activities. There are 36 people in the calligraphy group, 9 less than the art group and 2.5 times as much as the art group. How many people did the art troupe participate in?
(3) Two barrels of oil, A and B, weigh three times as much as B. If 28kg is taken out of barrel A and 4kg is added into barrel B, the two barrels are equal in weight. How many kilograms of oil did A and B have?
The sixth grade mathematics examination questions 7 1. Fill in the blanks.
1. The point at the center of the circle is called (), which is represented by the letter (), and its distance to any point on the circle is ().
2. () is called the radius, which is indicated by the letter ().
3. () is called the diameter, which is indicated by the letter ().
4. In a circle, there is a radius of () and a diameter of ().
5. () Determine the position of the circle and () Determine the size of the circle.
6. In a circle with a diameter of 8 decimeters, the radius is () cm.
7. When drawing a circle, the distance between two feet of compasses is round ().
8. In the same circle, all () are equal and all () are equal. The length of () is equal to twice the length of ().
Second, judge.
1. The diameter is twice the radius. ()
2. In the same circle, the radii are all equal. ()
3. In the line segment connecting any two points on the circle, the diameter is the longest. ()
Draw a circle with a diameter of 4 cm, and the feet of the compass should be separated by 4 cm. ()
Third, multiple choice questions.
1. The circle is on the plane ().
① Linear graph ② Curve graph ③ Cannot be determined.
2. A line segment with both ends on the circle. ()
① It must be the radius of the circle ② It must be the diameter of the circle ③ It cannot be determined.
3. The diameter of the circle is ().
1 1 22 3 countless.
Fourth, draw a circle as required.
1. Radius 2 cm. 2. The diameter is 3cm.
Sixth grade mathematics examination questions 8. Fill in the blanks (each grid 1 point, *** 19 point)
1 stands for (); Represents ().
2,48 is (); () is 27.
3、
4, 12 points = (); Ton = () kg; 1 = () points.
5. "The number of yellow flowers is equivalent to the number of red flowers" means that the number of flowers in () is regarded as the unit "1", and the equivalence relation is ().
6. In the 50-meter test, Xiao Ming took 8 seconds, Xiao Fang took 10 second, and the speed ratio between Xiao Ming and Xiao Fang was ().
7. The ratio of the three angles of a triangle is 3:4:5, and the largest angle is () degrees.
8. Xiaohong 12 seconds walks from the first floor to the second floor. At this rate, it will take him () seconds to get from the first floor to the fourth floor.
9. Fill in ">" in (). ,< or = "
Second, true or false (correctly tick "√", wrongly tick "╳", * * * is 5 points)
1 and 9 kg of water plus 1 kg of salt, salt accounts for salt water. ()
2, 4 meters long steel pipe, there are meters after cutting. ()
3. The product of two true fractions must be less than 1. ()
4. The number A divided by the number B is equal to the reciprocal of the number A multiplied by the number B.
There are more pine trees than cypress trees, so there are fewer cypress trees than pine trees. ()
Three, multiple choice questions (put the serial number of the correct answer in brackets, ***5 points)
1, a number is, and the formula for finding this number is ()
①②③④
2. The simplest ratio of two integers must be ()
① Prime number ② Odd number ③ Prime number ④ I don't know.
There are 30 candidates in the examination room. The ratio of male to female may be ()
①3:4②2:3③ 1:3④4:5
4. The reciprocal of the true score () 1.
① greater than ② less than ③ equal to ④ Uncertainty.
5, a 3-meter-long rope, use it first, then use it to go to the rice and leave () meters.
①②③④
Four, the calculation problem (28 points)
1, a number written directly. (0.5 points each, ***4 points)
2, solve the equation (6 points)
3, the following questions, how to calculate the simple nine. (18)
Five, according to the requirements of calculation (8 points)
1, a number is 36, what is this number? 2. What is the quotient of the difference of sum divided by?
Six, reading requirements, practical operation (5 points)
1. Please indicate the position of each vertex of the triangle in the brackets on the right. (3 points)
a(，)B(，)C(，)
2. Please draw a graph after the triangle moves 4 squares to the right. (2 points)
Seven, application problems (5 points for each small question, ***30 points)
1. A bag of flour weighs 3 kg. If you have, how many kilograms have you eaten?
2, a rectangular desktop, m, m long. A square desktop with an area of. How many square meters is the area of rectangular desktop smaller than that of square desktop?
Xiaoming weighs 35 kilograms, which is lighter than his father. How many kilograms is Xiaoming's father heavier than Xiaoming?
A batch of rice was transported to the disaster area by six cars. How much rice was transported per car on average? How many cars do you need to transport the surplus rice?
5. A barrel of oil weighs * * * kg. After removing half of the oil, how much kg does this barrel of oil weigh? How much does this bucket weigh?
It will take Team A 20 days to build an expressway? It takes 15 days for Team B to finish alone. Now Team A and Team B will work for 8 days, and the rest will be completed by Team B. How many days will it take?
Xiao Hu and Xiao Tu calculate the product of two digits A and B in the sixth grade math test 9. Xiao Hu misread the single digits of A, and the calculation result was 1274. Xiao Tu misread the ten digits of a number, and the calculation result was 8 19. One number is _ _ _ _.
Answer: 93
1994 "World Cup" football match, teams A, B, C and D are in the same group. In the group stage, each of the four teams will play a game with the other three teams. According to the regulations: the winning team in each game can get 3 points; The losing team gets 0 points; If the two sides draw, each team will get 1 point. Known:
(1) The total scores of the four teams in three games are divided into four consecutive odd numbers;
(2) Team B ranked first in total score;
(3) Team D only tied with the other team twice, one of which was tied with Team C. ..
According to the above conditions, it can be inferred that the total score of team _ _ _ ranks fourth.
Answer: C.
We stipulate that two people take turns to do a project, that is, the first person does an hour, the second person does an hour, then the first person does an hour, then the second person does an hour, and so on until it is completed. If it takes 9.8 hours for Party A and Party B to do a project in turn and 9.6 hours for Party B and Party A to do the same project in turn, how many hours will it take for Party B to do this project alone?
Solution: the time it takes each person to do it twice: a and B.
5 hours 4.8 hours
4.6 hours and 5 hours
∴ A's 0.4-hour project is equal to B's 0.2-hour project, B's efficiency is twice that of A, and A's 5-hour task can be completed in 2.5 hours.
B It takes 2.5+4.8=7.3 (hours) to complete this project alone.
The distance between A and B is120km. Buses and trucks go from place A to place B at the same time. After the bus arrives at point B, it immediately returns along the original road and meets the truck at point C on the way. After that, the bus and truck continued to move forward and turned back immediately after arriving at A and B respectively. As a result, the two cars happened to meet at C. It is known that the two cars met for the first time two hours after departure. So how many kilometers is the speed of the bus?
Solution: (sketch)
When they first met, the two cars walked the whole distance together. When they met for the second time, the two cars walked two complete distances more than when they first met. When the bus and truck meet for the first time, the distance they walk is equal to the distance when they meet for the second time. The two encounters are at point C. Let the distance between B and C be 1, the distance between A and C be 2, and the distance between B and C be120 ÷ 3 = 40.
The bus speed is (120+40)÷2=80 (km/h).
Sixth grade math exam 10 calculation (29 points)
1, write directly. (5 points)
3.02-0.2 = 40×2% = 1- 6 17 = 998 1÷49 ≈
67 ÷3 = 7 : 1 1 = 198 + 256 = 2× 12 ÷2× 12 =
23 + 2 = 0.23× 1000 =
2. Off-mold calculation. (If it can be simplified, use a simple method to calculate) (12 points)
3.3×34 +0.75×5.7+75% ( 23 + 12 )×67 - 5 13
3- 58 ÷2528 - 3 10 7 15 - 7 1 1 + 8 15 - 4 1 1
3. Solve equations or proportions. (6 points)
1.5 x-0.8× 15 = 18 4:35 = 23:x
4. Column calculation. (4 points)
What's the difference between (1) 12 times the product of 23 and 2 1 1?
(2) 13 of a number is exactly equal to 30% of b number. Given that the best number is 60, find a number. (Equation solving)
5. When we are learning fractional multiplication, we color the rectangle and display 23x12, for example:
As it can be seen, the coloring on the right is 12 ×34.