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The most common math exercises for sixth grade primary school (People's Education Press Edition) math exercises and calculation methods and answers

1. Lele walked from place A to place B. He walked 20% of the whole journey in the first hour and 20% of the whole journey in the second hour. At this time, he was halfway between the two places. There are still 2 kilometers to go. How many kilometers are there between places A and B?

Answer: 2÷(1/2-1/4-20%)

=2 times 20

=40 (km) Answer : 40 kilometers apart.

2. The average price of a certain type of children's clothing is 115 yuan. Among them, men's clothing is 1/5 more expensive than women's clothing, and each set of women's clothing is 10% more expensive than men's clothing on average. What is the average price of men's clothing among these children's clothing?

Answer: 115 times (1+1 times (1+1/5)) = 253 (yuan)

253÷ (1 times (1+10%) + 1 Multiply (1+1/5)) = 110 (yuan)

Answer: It is 110 yuan.

Four people A, B, C and D donated money to the earthquake-stricken area. A donated half of the other three people's donations, B donated one-third of the other three people's money, and C donated one-quarter of the other three people's money. , Ding donated 260 yuan. How much do four people donate?

Answer:

260÷(1-1/1+2-1/1+3-1/1+4)=1,200 yuan

Answer: Four people*** Donate 1,200 yuan.

Tips: {1/2=1/2} 1) =3÷5=( )÷15=( ):45=( ) Decimal = ( )%.

(2) 2 hours and 15 minutes = ( ) hours; 0.5 minutes = ( ) hours; 1 hour = ( ) minutes.

Ton = ( ) kilogram; 2.75 square meters = ( ) square meters ( ) square decimeters.

(3) and ( ) are reciprocals of each other; the reciprocal of 1 is ( ); ( ) has no reciprocal; the reciprocal of 0.3 is ( ).

(4) The is of a number is 12, and the of of this number is ( ).

(5) Divide a 3-meter-long wire into 5 equal parts, each part is ( ) of this section and each part is ( ) meters long.

(6) Arrange the five numbers 3.14, 3.1444..., 3.1414..., 3, 31.4% in order from largest to smallest:

( )

(7) The number of girls accounts for the whole class, the number of boys is equal to the number of girls ( ), the number of girls is ( )% more than the number of boys, and the number of boys is ( )% less than the number of girls.

(8) If the train is faster than the car, then the car is slower than the train.

(9) The of number A is equal to that of number B, then number A is ( ) of number B, and the ratio of number B to number A is ( ).

(10) Master Wang processed 58 parts, 2 of which were unqualified, and the pass rate was ( )%.

(11) 8 is ( )% of 5; 5 is ( )% of 8;

5 is ( )% less than 8; 8 is ( )% more than 5; < /p>

(12) 25% of 30 tons is ( ); 25% of ( ) is 30 tons;

35% less than 30 tons is ( ); 25% less than ( ) It's 30 tons.

(13) 47.85% are written as ( ), and 15.864% are read as ( ).

(14) Cut off its 8 meters, leaving ( ) meters; cut off its 8 meters, leaving ( ) meters.

(15) Master Zhang completed the task in 4 days. He completed the task every day ( ), and it took ( ) days to complete the entire task.

(16) The weight of Hongtang is equal to that of white sugar. White sugar has 36 kilograms, and Hongtang has ( ) kilograms.

(17) A bag of flour weighs 50 kilograms. First use up its kilograms, then use kilograms, and there will be ( ) kilograms left.

(18) A rectangular piece of land is 12 meters wide and shorter than the length. The length of this piece of land is ( ), the perimeter is ( ), and the area is ( ).

(19) The perimeter of a square steel plate is 2.8 meters, its side length is ( ) meters, and its area is ( ).

(20) The number is 10, and the reciprocal of this number is ( ).

(21) A rice mill can grind tons of rice per hour. This rice mill averages ( ) tons of rice per hour, and it takes ( ) hours to grind 1 ton of rice.

(22) There are 18 boys and 12 girls in the school mathematics interest group. The ratio of the number of boys to the number of girls is ( ); the ratio of the number of girls to the number of boys is ( ); the ratio of boys to the total number The ratio is ( ); the ratio of the total number of students to the number of girls is ( ).

(23) The ratio of 2.5:0.75 is ( ), and the simplest integer ratio is ( ).

(24) For a project, Team A needs 20 days to complete, and Team B needs 30 days to complete, then the ratio of the working days of Team A and Team B is ( ), and the simplest integer ratio of work efficiency is ( ).

(25) For a document, A needs to type it in hours, and B needs to type it in hours. The ratio of A and B’s working hours is ();

The ratio of work efficiency is ( ).

(26) The ratio of boys to girls in the school track and field team is 4:3. There are ***35 people in the track and field team and ( ) boys in the track and field team. If there are 20 boys, then there are ( ) girls.

(27) After the numerator of a fraction is multiplied by 3, the fraction becomes , and the fraction was originally ( ).

(28) If the grain storage in warehouse A is transferred to warehouse B, the grain in the two warehouses will be equal, and warehouse B originally occupied warehouse A ( ).

(29) The road construction team built a section of road. They built it on the first day and the remaining section on the second day. The remaining section of the road ( ) was not repaired.

(30) The medicinal liquid accounts for ( ) of the medicinal liquid, the medicinal liquid accounts for ( ) of the water, and the water accounts for ( ) of the medicinal liquid.

(31) After water turns into ice, its volume increases by ( ). After ice turns into water, its volume decreases ( ).

(32) Cut a rope into small sections of the same length. After cutting 10 times, each small section accounts for ( ) of the total length.

(33) 400 kg of wheat produces 340 kg of flour. The flour extraction rate of wheat is ( ).

(34) 8 meters of a steel pipe are used, and 24 meters are left. ( )% is used, and ( )% is left.

(35) A certain factory’s output in May was 120% of April’s, and its output increased by ( )% in May.

(36) 15 kilograms is exactly ( )% of 20 kilograms.

(37) The ratio of the two acute angles of a right triangle is 2:7, and the smallest angle is ( ) degree.

(38) A cuboid, length:width:height=5:1:2, the sum of the edge lengths is 64 centimeters, the volume of this cuboid is ( ) cubic centimeters.

(39) Melt 50 grams of sugar in 200 grams of water, the sugar accounts for ( ) the weight of the water, and the sugar accounts for ( ) the weight of the sugar water.

(40) × and × are represented by the shaded parts in the two rectangular figures below.

(41) It is known that ○+○+○+○=100, (□+△)×○=1250, □=△×4, then ○=( ), □=( ), △ =( ).

(42) 47 × 0.25 × 4 = ( ) × ( × ) is calculated based on ( ), and the letter representing this operation law is ( ).

(43) Cut the 5-meter-long wire into small sections of meters each, and cut it ( ) times a ***.

(44) The original price of a piece of clothing was 240 yuan, but now it has been reduced to 216 yuan, a decrease of ( )%.

There are 45 students in Class 6 (1) of (45). The ratio of boys to girls is 5:4. There are ( )% more boys than girls, and girls account for .

(46) Cut a 10-meter-long cylindrical wooden rod into 6 segments on average, and the time spent cutting each segment accounts for ( )% of the total time.

(47) Xiao Ming is a year old this year. Xiao Gang’s age is 1.2 times younger than Xiao Ming’s by 1 year. Xiao Gang is ( ) years old this year.

(48) The master processes a parts every day, and the apprentice processes 15 fewer parts than the master every day.

a-15 means ( );

2a-15 means ( );

5 (a-15) means ( ).

(49) The ratio of the perimeters of the two squares is 3:4, the ratio of their perimeters is ( ), and the ratio of their areas is ( ).

(50) Convert 0.5 meters:30 decimeters into the simplest integer ratio ( ).

(51) There are three natural numbers. The ratio of number A to number B is 3:5, and the ratio of number B to number C is 4:7. The ratio of these three numbers is ( ).

(52) The ratio of the three angles of a triangle is 1:2:3. This triangle is a ( ) triangle.

(53) A pesticide is a mixture of pesticide and water at a ratio of 1:1500. The existing pesticide is 0.5 kg, and water ( ) kg should be added.

(54) The ratio of the two numbers A and B is 5:7, the difference is 48, the number A is ( ) and the number B is ( ).

(55) Use 80 cm of iron wire to make a rectangle with a length and width ratio of 4:1. The area of ??this rectangle is ( ).

(56) The work efficiency ratio of workers A and B is 2:3. When B finished the 252nd part, they completed ( ) parts in one go.

(57) Six children skipped ropes. ***There were 4 skipping ropes. During 1 hour, they took turns to jump, with an average of ( ) minutes per person.

(58) Both rectangles and squares have a perimeter of 24 cm, and the area of ??( ) is larger.

(59) A pile of coal weighs 5 tons, and ( ) tons are used. A pile of coal weighs 5 tons, and ( ) tons are used, and ( ) tons are left.

(60) The reciprocal of the smallest prime number is ( ); the reciprocal of the smallest composite number is ( ).

(61) Divide the 6-meter-long rope into 5 equal sections, each section is as long as the rope, and each section is ( ) meters long.

(62) The edge length of a cube is decimeters, its surface area is ( ) square decimeters, and its volume is ( ) cubic decimeters.

(63) It takes 10 days to process a batch of parts. On average, ( ) of this batch of parts are completed every day, and ( ) of this batch of parts are left after 6 days of work.

(64) The ratio of the perimeter and side length of a square is ( ).

(65) If a rope is cut off , the ratio of the cut length to the remaining length is ( ).

(66) To complete a batch of parts, A processes 75 parts per hour and completes it in 8 hours; B processes 60 parts per hour and completes it in 10 hours.

①The ratio of A and B's working efficiency is ( ), and the ratio is ( );

② The ratio of A and B's working hours is ( ), and the ratio is ( ).

(67) The number A is more than the number B, then the number A is ( ) of the number B; the ratio of the number A to the number B is ( ).

(68) The ratio of the side lengths of the small square and the large square is 2:3, then the ratio of the perimeter of the small square and the large square is ( ), and the ratio of the areas is ( ).

The (69) 4-ton weight is the same as ( ).

(70) To produce a batch of parts, the total number of parts is completed in 5 days, and the total number of parts is completed per day on average ( ).

(71) A tractor can cultivate hectares of land per hour. The average cultivated land is ( ) per hour. It takes ( ) hours to cultivate 1 hectare of land.

(72) A car drives from point A to point B, traveling 75 kilometers per hour, and the entire journey takes 4 hours. A and B are ( ) kilometers apart.

(73) The perimeter of a rectangle is 24 cm, and the ratio of its length to width is 2:1. Then the length of the rectangle is ( ), the width is ( ), and the area is ( ).

(74) A storybook has a total of 105 pages. I read the book on the first day and 25 pages on the second day. On the third day, I should start reading from page ( ).

(75) A rice mill can grind tons of rice per hour. On average, it can grind ( ) tons of rice per hour. It takes ( ) hours to grind 1 ton of rice.

(76) "A pile of coal is used in tons for the first time and tons for the second time." The ( )th fraction in this sentence can be expressed as a percentage.

(77) Xiaohong reads a storybook and finishes it in A day (A is greater than 8). I can read this book ( ) in 8 days, but I still have ( ) left to read.

(78) Goats are the number of sheep. The ratio of the number of goats to the number of sheep is ( ). The ratio of the number of sheep to the number of goats is ( ). The ratio of goats to the total number is ( ). The ratio of sheep to total number is ( ).

(79) To build a canal, the entire length can be built every day, and it can be completed in ( ) days.

(80) If the ratio of the three interior angles of a triangle is 2:3:5, and the three interior angles of this triangle are ( ), ( ), ( ), it is a ( ) triangle.

(81) The simplest integer ratio to convert 20 kilograms:0.2 tons into is ( ), and its ratio is ( ).

(82) It costs 30 cents to buy 4 sheets of type A paper, and 40 cents to buy 3 sheets of type B paper. The ratio of the unit prices of paper A and B is ( ).

(83) The average of the three numbers is 17, the average of the largest number and the smallest number is A, and the middle number is represented by a letter ().

(84) When a 2-meter-long rectangular piece of wood is sawn into three sections, the surface area increases by 64 square centimeters. The original volume of the piece of wood is ( ).

(85) The sum of the edge lengths of a cube is 36 cm. Its surface area is ( ) and its volume is ( ).

(86) If 3χ + 4 = 25, then 4 χ+ 3 = ().

(87) Xiao Ming comes home from school and helps his parents cook. He is going to use a rice cooker and a wok to make rice and scrambled eggs. It is estimated that it will take 1 minute to wash the pot and 2 minutes to wash the rice. It takes 15 minutes, 1 minute each to beat the eggs, wash the wok, and burn the oil, and 3 minutes to scramble the eggs. What do you think is the most reasonable arrangement? It will take at least ( ) minutes to prepare the meal.

(88) If you add 8 centimeters to the length and width of a rectangle, the area of ??the rectangle will increase by 208 centimeters. The perimeter of the original rectangle is ( ).

(89) A pocket contains 10 small balls of three different colors: red, yellow, and blue. At least ( ) small balls must be found. There must be 10 of the same color.

(90) Xiao Ming has x stamps, Xiao Fang has 10 more stamps than twice as many as Xiao Ming, and Xiao Fang has ( ) stamps.

(91) Three consecutive odd numbers, the middle one is a, the largest is ( ), and the smallest is ( ).

(92) The length of the base of a triangle is 2.8 cm, the height of the side is x cm, and the area of ??the triangle is ( ) cm.

(93) To build a road, x centimeters have been built, and the remainder is 1.5 times that of what has been built, leaving ( ) meters. The total length of this road is ( ) meters, and the remainder is 1.5 times that of what has been built. How many ( ) meters.

(94) There are .

(95) There are 1,500 kilograms of rice and flour in the canteen, of which rice is 4 times as much as flour. There are ( ) kilograms of rice and ( ) kilograms of flour.

(96) Xiao Ming is a year old this year, and his father is (a+b) years old this year. 5 years later, my father will be ( ) years old, and his father will be ( ) years older than Xiao Ming.

(97)The perimeter of an isosceles triangle is 39 cm. Its base is 10 cm long and one waist is ( ) cm long.

(98) The average of the four numbers is 15. If each number increases by y, then the sum of the four numbers is ( ).

(99) The length of a cuboid is 12 cm, the width is 10 cm, and the height is 5 cm. The sum of the edge lengths of this cuboid is ( ), the surface area is ( ), and the area is ( ).

(100) Use iron sheets to make a ventilation pipe 1.5 meters long. The mouth of the pipe is a square with a side length of 0.2 meters. At least ( ) square meters of iron sheets are needed.

(101) The volume of a cuboid is 96 cubic meters, the base area is 16 square meters, and its height is ( ) meters.

(102) Divide a cube with an edge length of 4 cm into two identical cuboids. The sum of the volumes of the two cuboids is ( ) cubic centimeters, and the sum of the surface areas is ( ) square centimeters.

(103) Two cubes with edge lengths of 4 cm are assembled into a cuboid. The volume of the assembled cuboid is ( ) cubic centimeters and the surface area is ( ) square centimeters.

(104) It takes hours to cut a piece of wood into 2 sections. If it is cut into 5 segments, it will take ( ) hours.

(105) The side length of an equilateral triangle is meters, and the perimeter of this triangle is ( ) meters.

(106) A 120-page story book. Xiaohong read the whole book in the first three days. She should start reading from page ( ) on the fourth day.

(107) A rectangular vegetable field is 20 meters long and 20 meters wide. The area of ??this rectangular vegetable field is ( ).

(108) The mass of a meter-long steel pipe is tons. The length of a 1-ton steel pipe is ( ) meters. The mass of a 1-meter steel pipe is ( ) tons.

5. There are two baskets of fruit. The weight of fruit in basket A is 32 kilograms. After taking out 20% of the fruit from basket B, the weight ratio of the two baskets of fruit is 4:3. How many fruits are there in the original two baskets? kilogram?

6. To make a 600g bean paste bun, the ratio of flour, red beans and sugar is 3:2:1. How many grams of flour, red beans and sugar are needed?

7. Xiao Ming looks at it A storybook, I read 1/9 of the whole book on the first day, and 24 pages on the second day. The ratio of the number of pages read in two days to the number of remaining pages is 1:4. This book has *** How many pages?

8. The ratio of the three interior angles of a triangle is 2:3:4. What are the measures of these three interior angles?

Sixth Grade Mathematics Application Questions 2

2. Application Questions of Fractions

1. For a tank of water, 1/2 and 5 buckets are used, what is left 30%, how many buckets of water are there in this tank?

2. A steel pipe is 10 meters long. If 7/10 is cut off for the first time and the remaining 1/3 is cut off for the second time, how many meters are left?

3. After building a highway and completing 2/3 of the total length, it is 16.5 kilometers away from the midpoint. How many kilometers is the total length of this highway?

4. The master and the apprentice worked together to make a batch of parts. The apprentice made 2/7 of the total, which was 21 fewer parts than the master. How many parts were there in this batch?

5. There is a batch of fertilizer in the warehouse. The first time I took out 2/5 of the total, the second time I took out 1/3 of the total, 12 bags less. At this time, there were 24 bags left in the warehouse, twice* **How ??many bags are taken out?

6. Places A and B are 1152 kilometers apart. A passenger car and a freight train leave from both places at the same time. The freight train travels 72 kilometers per hour, which is 2/7 faster than the passenger train. How many hours will it take for the two vehicles to meet? ?

7. A top is 160 yuan more expensive than a pair of pants, and the price of the pants is 3/5 of the top. How much is a pair of pants?

8. There is a black rabbit in the breeding group 60 There are 1/5 more white rabbits than black rabbits. How many white rabbits are there?

9. The school had to dig an 80-meter-long sewer. On the first day, 1/4 of the total length was dug. 1/2 of the total length was dug in two days. How many meters were dug in two days? How many meters are left?

Sixth grade mathematics application questions 3

3. Percentage Application questions

1. The output value of a fertilizer factory increased by 20% this year compared with last year, and increased by 5 million yuan compared with last year. How many million yuan is the value this year?

2. The fruit company stores a batch of apples. After selling 30% of the batch of apples, another 160 boxes are shipped. This is 1/10 more than the original apples stored. How many boxes of apples are there at this time? ?

3. The original price of a product is 20% less than the current price. The current price is 1,028 yuan. How much is the original price?

4. There is no tax on the interest earned from education savings. Dad saved a three-year education savings fund for Xiaoxiao, with an annual interest rate of 5.40%. After maturity, he received the principal and interest of 22,646 yuan.

What is the principal amount of the education savings fund that Dad saved for Xiaoxiao?

5. The clothing store bought two pieces of clothing at the same time. Each piece of clothing received 120 yuan, but one of them earned 20% and the other one paid 20%. Ask the clothing store whether the two pieces of clothing sold Is this piece of clothing a profit or a loss?

6. The father is 43 years old this year and the daughter is 11 years old. A few years ago, the daughter’s age was 20% of the father’s?

6. 20% less than 2/5 of a ton is ( ) ton, and 30% of ( ) ton is 60 tons.

7. I have read 20% of a 200-page book, but there are ( ) pages left. 40% of number A is equal to 50% of number B. Number A is 120 and number B is ( ).

8. A certain factory used 5,400 tons of water in the second half of April, saving 20% ??compared with the first half of the month. How many tons of water was used in the first half of the month?

9. Zhang Ping has 500 yuan and plans to deposit it in the bank for two years. There are two ways to save. One is to deposit for two years, with an annual interest rate of 2.43%; the other is to deposit first For one-year terms, the annual interest rate is 2.25%. When the first year expires, the principal and after-tax interest are taken out and combined, and then deposited for another year. Which method should I choose to get more after-tax interest?< /p>

10. Xiaoli’s mother deposited RMB 5,000 in the bank with a one-year deposit period and an annual interest rate of 2.25%. When withdrawing the money, the bank will withhold and collect 20% interest tax. When it expires, all How much is the interest tax paid?

11. A kind of wheat has a flour extraction rate of 85%. It needs to grind 13.6 tons of flour, and _____ tons of such wheat are needed.

Sixth Grade Mathematics Application Questions 4

4. Circle Application Questions

1. Draw a circle with a circumference of 12.56 cm and mark it with letters Take the center of the circle and a radius, and then find the area of ??the circle.

2. The school has a circular lawn with a diameter of 30 meters. What is the area of ??this lawn in square meters? If pots of chrysanthemums are placed every 1.57 meters around the lawn, how many pots of chrysanthemums should be prepared?

3. The radii of a circle and a sector are equal, the area of ??the circle is 30 square centimeters, and the central angle of the sector is 36 degrees. Find the area of ??the sector.

4. The front wheel rotates 40 times more than the rear wheel in a distance of 720 meters. If the circumference of the rear wheel is 2 meters, find the circumference of the front wheel.

5. The diameter of a circular flower bed is 10 cm. A 2-meter-wide path is paved around it. What is the area of ??this path in square meters?

6. The school has a circular open space with a diameter of 40 meters. It is planned to build a circular flower bed in the center and pave the remaining part with a 6-meter-wide cement pavement. What is the area of ??the cement pavement in square meters? ?

7. There is a ring. The circumference of the inner circle is 31.4 cm and the circumference of the outer circle is 62.8 cm. What is the width of the ring?

8. The minute hand of a wall clock is 20 centimeters long. After 45 minutes, how many centimeters has the tip of the minute hand traveled?

9. The length of a large clock The hour hand is 0.3 meters long. How many meters does the tip of this hour hand travel in one day? How many square meters does it sweep?

Sixth Grade Mathematics Application Questions 5

1. There are 56 lifeguards and tourists on a boat, and there are 1 lifeguard and 7 tourists on each rubber boat. How many tourists are there in a ***? How many lifeguards?

2. Uncle Wang’s vegetable plot covers an area of ??800 square meters, which he plans to use to grow tomatoes. The remaining areas are planted with cucumbers and eggplants in an area ratio of 2:1. How many square meters are the areas of the three vegetables?

3. Use 28 meters of wire to surround a rectangle. The ratio of the length to the width of the rectangle is 5:2. What are the length and width of the rectangle?

4. Use 84 cm long wire to form a triangle. The ratio of the lengths of the three sides of this triangle is 3:4:5. How many centimeters are each of the three sides of this triangle?

5. The ratio of the three interior angles of a triangle is 1:2:3. What is the largest angle in this triangle? What triangle is this triangle?

6. The road construction team wants to build a 432-meter-long highway. The entire length has been repaired. The remaining tasks are divided between A and B according to 5:4. How many meters will each of the two road construction teams build?

7. In the "Learn from Lei Feng" activity, the fifth and sixth grade students did an average of 80 good deeds, among which the ratio of the number of good deeds between the fifth and sixth graders was 3:5.

How many good deeds have each of the fifth and sixth grade students done?

8. Two cities are 225 kilometers apart. A passenger car and a truck drive away from the two cities at the same time and meet each other 2.5 hours later. It is known that the speed ratio of the truck and the passenger car is 4:5. How many kilometers per hour do buses and trucks travel?

9. An iron bar 282.6 cm long is welded into a circular iron ring. What is its radius in centimeters?

10. A boiler has a circular bottom. The circumference of the bottom circle is 1.57 meters. How many square meters is the bottom area? (Keep the number to two decimal places)

11. Xiaodong has a bicycle. The diameter of the wheel is about 66 centimeters. If the average rotation is 100 times per minute, the distance from home to school is 4144.8 meters. How many minutes does it take?

12. The minute hand of a wall clock is 20 cm long. After 30 minutes, how many centimeters has the tip of the minute hand traveled?

13. The radius of a circular cattle pen is 15 cm. How long of thick wire is needed to surround the cattle pen 3 times? (Joints are ignored.) If a wooden pile is installed every 2 meters, approximately how many wooden piles should be installed?

14. The range of an automatic rotating sprinkler irrigation device on the park grass is 10 meters. How large a range can it irrigate?

15. The diameter of a circular roundabout is 50 meters. It is a circular flower bed with a diameter of 10 meters, and the rest is lawn. What is the floor space of the lawn?

16. Build a circular flower bed in the street center garden with a circumference of 31.4 meters, and build a circular path with a width of 1 meter around the flower bed. What is the area of ??this path?

17. Xiao Ming bought ***16 stamps worth 50 cents and 80 cents, and spent 10.7 yuan. How many stamps of each type does Xiao Ming buy?

18. In 2002, there were 1,263 academicians in the Chinese Academy of Sciences and the Chinese Academy of Engineering, including 1,185 male academicians. What percentage of academicians are female academicians?

19. Teams A and B dig a canal. It takes Team A to dig alone in 8 days, and Team B to dig alone in 12 days. Now after the two teams dug at the same time for a few days, Team B was transferred away, and the remaining Team A completed the digging within 3 days. How many days did Team B dig?

20. There is a two-digit number, and the sum of its digits is 7. If 27 is subtracted from this number, the resulting number is exactly the reverse order of the digits of this number. Find this number.

Sixth grade mathematics application questions 6

1. A rope is 4/5 meters long. First use 1/4, then use 1/4 meters, and then use 1/4 meter. How much rice is used?

2. There are 50 goats, and there are 3 more sheep than 4/5 of the goats. How many sheep are there?

3. Read a 120-page book , I have read 1/3 of the whole book. How many more pages will I read that will be exactly 5/6 of the whole book? 4. A bottle of oil is 4/5 kilograms, 3/10 kilograms have been used, how much more will be used? A kilogram is exactly 1/2 of this barrel of oil?

5. A bag of rice is 120 kilograms. Eat 1/4 on the first day, the remaining 1/3 on the second day, and eat the remaining 1/3 on the second day. How many kilograms are taken?

6. For a batch of goods, the car can transport 1/8 of it each time, and what fraction of it can be transported four times? If the cargo weighs 116 tons, how many tons have been transported?

7. A factory used 28 tons of water in September. It plans to save 1/7 in October compared with September. How many tons does it plan to save in October compared with September?

8. The base of a parallelogram is 24 meters long, and the height is 3/4 of the base. What is its area in square meters?

9. The blood of the human body accounts for 1/13 of the body weight, and about 2/3 of the blood is water. Dad’s weight is 78 kilograms. How many kilograms of water does his blood contain?

10. Sixth grade students participated in tree planting work. Boys planted 160 trees, and girls planted 5 trees more than 3/4 of boys. How many trees do girls plant?

11. The number of students in the fourth grade of Xinguang Primary School is 4/5 of the fifth grade, and the number of the third grade is 2/3 of the fourth grade. If there are 120 students in the fifth grade, how many students are there in the third grade?

12. Two cars A and B drove away from places A and B 420 kilometers apart at the same time. After 5 hours, car A had traveled 3/4 of the whole journey and car B had traveled 2/4 of the whole journey. /3. How many kilometers are there between the two cars at this time?

13. The fifth grade planted 120 trees. The number of trees planted by the sixth grade was 7/5 of the fifth grade. How many trees did the fifth and sixth graders plant in the first year?

14. To build a 12/5 kilometer road, 2/3 of the kilometer was built in the first week, and 1/3 of the total length was built in the second week. How many kilometers were built in two weeks?

15. A road is 7/8 kilometers long. If 1/8 kilometers is built on the first day, how many more kilometers will be built to be exactly 1/2 of the total length?

16. Xiaohua read a 96-page story book, 1/4 of it on the first day and 1/8 of it on the second day.

How many pages did *** read in two days?

17. A book has 150 pages. Xiao Wang read 1/10 of the total on the first day and 1/15 of the total on the second day. From which page should he start reading on the third day?

18. The school transported 2/5 tons of cement, and the yellow sand transported was 5/8 of the cement and 1/8 ton more. How many tons of yellow sand were transported?

19. The ratio of the amount of money donated by Xiaowei and Xiaoying to Project Hope is 2:5. Xiaoying donated 35 yuan, how much did Xiaowei donate?

20. The TV factory plans to increase production by 2/5 this year compared with last year. Last year, 1/50,000 TV sets were produced. How many thousand more sets are planned to be produced this year?

Sixth grade mathematics application questions 7

1. A certain village needs to dig a 2,700-meter-long canal. It has already dug 1,050 meters. How many more meters will it take to finish digging the canal? 2/3?

2. The young pioneers of a school collected tree species. The fourth grade collected 1/2 kilogram, the fifth grade collected 1/3 kilogram more than the fourth grade, and the sixth grade collected 6/5 of the fifth grade. How many kilograms of tree seeds did the sixth graders collect?

3. The warehouse shipped 240 tons of rice, the soybeans shipped were 5/6 of the tonnage of rice, and the tonnage of soybeans was 3/4 of the flour. How many tons of flour are shipped?

4. Basket A has 9/10 kilograms of apples. Give 1/9 of A to basket B. If A and B are equal, how many kilograms of apples are in basket B?

5. Pour a barrel of oil 2/3 is poured out, which is exactly 36 kilograms. How many kilograms does this barrel of oil originally weigh?

6. Two engineering teams, A and B, built a road of 360 meters. The length ratio of teams A and B is 5:4. How many meters more did team A build than team B?

7. There are 150 workers in the first workshop of a garment factory, and the number of workers in the second workshop is 2/5 of the first workshop. The number of workers in the two workshops is exactly 5/6 of the total number of workers in the whole factory. How many workers are there in the whole factory?

8. A batch of fruits is 120 tons, of which pears account for 2/5 of the total and 4/5 of apples. How many kilograms of apples are there?

9. The sum of the two numbers A and B is 120. Give 1/3 of A to B. The ratio of A to B is 2:3. What is the original value of A?

10. Xiaohong collected 24 specimens and gave 4 to Xiaofang. Xiaohong happened to be 4/5 of Xiaofang. How many specimens did Xiaofang originally have?

11. Two barrels of oil weigh 27 kilograms. After 2 kilograms of oil are used in the large barrel, the weight ratio of the remaining oil to the oil in the small barrel is 3:2.

How many kilograms of oil were originally contained in the barrel?