Xiaoshengchu mathematics examination paper one

1. Fill in the blanks: (4 points for each small question)

1. A number, minus 20% of it, plus 5, is still 3 less than the original. So, this number is _ _ _ _ _ _ _ _.

2. The number A is less than the number B 16%, and the number B is 20% larger than the number C. Among the three numbers A, B and C, the smallest number is _ _ _ _ _ _ _ _ _.

3. At 6: 10 on the clock, the obtuse angle formed by the minute hand and the hour hand is _ _ _ _ _ _ _ _ _.

4. A true score, if multiplied by 3, the numerator is smaller than the denominator 16, if divided, the denominator is smaller than the numerator by 2, and this true score is _ _ _ _ _ _ _ _.

5. The weight of 1 1 plum is equal to the weight of two apples and 1 peach, and the weight of two plums and1apple is equal to the weight of1peach, so the weight of a peach is equal to the weight of _ _ _ _ _ _ _ _.

6. The sum of number A and number B is 16, and number A is _ _ _ _ _ _ _.

7. Among the paintings exhibited in the "June 1st" art exhibition, 14 is not in grade 6, 17 is not in grade 5, and 2 1 is exhibited in grade 5 and 6. Therefore, the paintings exhibited in other grades are _ _ _ _ _ _ _.

8.100g 15% saline water, put 8g of salt. In order to make the concentration of the solution reach 20%, then you have to add _ _ _ _ _ _ _ g of water.

9. The two factories A and B produce the same number of products. The quantity of genuine products in Factory A is three times that of defective products in Factory B, and the quantity of genuine products in Factory B is four times that of defective products in Factory A.. Then, the ratio of the number of genuine products produced by factory A and factory B is _ _ _ _ _ _ _.

2. Application questions: (9 points for each question, formula calculation is required, only the number of answers is given, but not given)

1. The quotient of dividing two numbers is 22, the remainder is 8, and the sum of dividend, divisor, quotient and remainder is 866. Q: How much is the dividend?

There were 407 contestants in the Singer's Grand Prix in February and June 1 Day. The number of female singers who did not win the prize accounted for the total number of female singers, 16 male singers did not win the prize, but the number of male singers who won the prize was the same. Q: How many male singers are there?

3.A goes from place A to place B, and B and C go from place B to place A. Three people start at the same time. A first meets B on the way, and then meets C in 15 minutes. A walks 70 meters per minute, B walks 60 meters per minute and C walks 50 meters per minute. Q: What is the distance between A and B?

4. A batch of military support materials can be transported in three days if they are transported by eight big trucks, and 75% of the total materials can be transported in eight days if they are transported by five small trucks. How many days can three big trucks and four small trucks carry?

5. The number of boys in three groups is the same. The number of boys in the first group is equal to the number of girls in the second group, and the number of boys in the third group is the sum of the three groups of boys. What percentage of boys are in the three groups?

6. When the two water inlet pipes A and B are opened at the same time, 40% of the pool can be filled in 4 hours, then the pipe A is opened for 5 hours respectively, and then the pipe B is opened for 7.4 hours respectively, before the pool can be filled. Q: If pipe B is opened separately, how long will it take to fill the pool?

7. Xiao Yu rides a bike from home at 8 o'clock. Eight minutes later, his father rode a motorcycle and caught up with Xiao Yu, who was 4 kilometers away from home. At this time, his father rushed home immediately because of something, and then turned around and caught up with Xiao Yu, who was 8 kilometers away from home for the second time. Q: When did his father catch up with Xiao Yu for the second time?

8. The number of people in Workshop A is less than that in Workshop C, and the number of people in Workshop C is 25% more than that in Workshop B, which is less than the sum of the number of people in Workshop A and Workshop B. How many people are there in the three workshops?

9. If a store buys a batch of goods in 480 yuan and sells them all at the price of each piece in 6 yuan, it can make a profit of 25%. In fact, some goods can only be sold at a reduced price per piece in 5 yuan due to quality problems, so the real profit is 20%. How many of these goods are qualified products at 6 yuan price?

10. At 4: 00 a.m., Car A and Car B left relatively at the same time. They were expected to meet at 10 in the morning, but at 6: 30 in the morning, the B car stopped at the midway point C for some reason, and the A car continued to go 350 meters, and met the B car at the point C. After meeting, the B car immediately drove to the point A at the original speed of 60 kilometers per hour. Q: When does the B train arrive at the A location?

Math test questions 1 of the sixth grade to junior high school connecting class

First, multiple-choice questions (write the serial number of the correct answer in brackets)

1, if a÷7/8=b×7/8(ab is a natural number), then ().

①a & gt； b②a = b③a & lt； b

2, natural number, any multiple of 5 ()

① It must be a prime number ② It must be a composite number ③ It may be a prime number or a composite number]

3, the flour yield of wheat is certain, the weight of wheat and the weight of grinding ()

① Inverse ratio ② Direct ratio ③ Out of proportion.

The first term of the ratio is 8. If the first item is increased by 16, the last item should be (), keeping the proportion unchanged.

① Increase 16 ② Multiply 2 ③ Divide by 1/3.

The largest of the three angles of a triangle is 89 degrees, and this triangle is ().

① acute triangle ② right triangle ③ obtuse triangle

6, a cylinder, if its base diameter is expanded by 2 times, the height is unchanged, and the volume is expanded by () times. ① 2 ② 4 ③ 6

Second, fill in the blanks

1, 20.407 million yuan (), rounded to ten thousand, about () ten thousand.

2, 68 months = () year () month 4 liters 20 ml = () cubic decimeter.

3、0.6:( )= 9.6÷( )= 1.2 =( )%

4. When the natural number A is divided by the natural number B, the quotient is 18, and the least common multiple of A and B is ().

5. On the map with the scale of 1: 50000, the distance between two points is 12 cm, and the actual distance between these two points is () km.

6. In a proportion, it is known that two external terms are reciprocal, one of which is the smallest prime number and the other is ().

7. Cylinders and cones have equal bottoms and heights. If their volumes differ by 32 cubic decimeters, then the volume of the cone is () cubic centimeters.

8. 168 continuously subtract 12. Subtract () times and the result is 12.

A piece of steel is 5 meters long. It takes 3/5 hours to saw 50 cm long and () hours to saw 100 cm long.

10, the length and width of a cuboid wood are 4 decimeters and the height is 8 decimeters. The volume of this wood is (); If this piece of wood is sawed into two cubes, then the sum of the surface areas of the two cubes is ().

1 1, the area of a rectangle is 2 10 cm2, its length and width are two continuous natural numbers, and the circumference of this rectangle is ().

Third, the application problems:

1, only column types are calculated, not calculated.

(1) After streamlining, there are 75 staff members in an organ, which is 45 less than the original. By what percentage?

(2) The distance between Party A and Party B is 405km. Car A travels from A to B in 4 hours 180 km. At this rate, how many hours will it take for the bus to get to B?

2. The drum of the drum is a cylinder. This drum is 2 meters in diameter and 5 meters in length. Now the roller rolls forward 120 turns. What is the area of the pressed road surface? (π takes 3. 14)

3. A factory produces a batch of cement, which was originally planned to produce 150 tons per day, and the task can be completed on time. Actually, the output was increased by 30 tons per day, and the task was completed in only 25 days. How many days does it take to complete the original planned production task? (Use proportional solution)

4. It takes 5 hours for Party A to cooperate in processing a batch of parts, and 9 hours for Party A to do it alone. It is known that A processes 2 more parts per hour than B. How many parts are there in this batch?

5. The stadium bought 16 basketballs and 12 footballs, and * * * paid 760 yuan. It is known that the unit price ratio of basketball and football is 5: 6. How much does the stadium pay for basketball and football?

6. A shop bought a batch of leather sandals, and the price of each pair was 15% higher than the purchase price. If you sell them all, you can make a profit 120 yuan; If you only sell 80 pairs, you can't go to 64 yuan. What is the purchase price of leather sandals?

Comprehensive application of knowledge to solve practical problems. 、

1. Divide the bottom of a cylinder with a diameter of 2 decimeters into many equal sectors, and then cut circles along the diameter to form a cuboid with the same volume. The surface area of this cuboid is 8 square decimeters more than that of the original cylinder. What is the volume of this cuboid?

2. Cast a cuboid iron block with a length of 7 cm, a width of 6 cm and a height of 4.5 cm and a cubic iron block with a length of 5 cm into a big cylinder. The bottom area of this cylinder is 78.5 square centimeters. What should be the height of that cylinder?

Six-year primary school sixth grade mathematics graduation examination paper

First, the basic knowledge.

1, fill in the blanks:

(1) The diameter of the sun is about1392,000 kilometers, and the number written with "10,000" is () 10,000 kilometers.

(2) 120 square decimeter = () square meter = 3.5 tons = () kg.

⑶ =2:5=( )÷60=( )%

(4) Cut the 5m-long rope into 8 sections on average, each section is the rope length () and each section is () meters.

5] Among 0. 16 and these three numbers, the largest number is () and the smallest number is ().

(6) Magnification of 3.07 times is 3070, and reduction of 38 times is 1000 times is ().

Once the ratio of 0.5: to the simplest integer was (): (), and the ratio was ().

⑻ A number is 1.8, which is more than three times that of A, and is expressed as () by a formula containing letters. When a=2.4, the value of this formula is ().

(9) The distance between Party A and Party B is 26 kilometers, and the distance on the map is 5.2 cm. The scale of this map is ().

⑽ The bottom and height of cylinder and cone are equal, and the volume of cone is smaller than that of cylinder ().

2. Judgment: ("√" in brackets means correct, "×" means wrong)

(1) A parallelogram has a certain area, and its base is inversely proportional to its height. ( )

⑵ A natural number, if not a prime number, must be a composite number. ( )

⑶ Grade 6 students planted 9 1 plant in spring, among which 9 plants did not survive, and the survival rate was 9 1%. ( )

(4) The rotating speed of the minute hand on the clock is 12 times that of the hour hand. ( )

5] When the side length of a cube is enlarged by 4 times, the surface area is enlarged by 16 times. ( )

3. Choice: (Fill in the serial number of the correct answer in brackets)

(1) is the simplest fraction, and a and c must be ().

Prime number b, composite number c, prime number

(2) The following scores can be reduced to finite scores ()

A, B, C,

(3) There were () days in the first half of 2003.

a、 18 1 B、 182 C、 183

(4) Cut out a circle with as large an area as possible with a square piece of paper with a side length of 2 decimeters. The area of this circle is ().

a、3. 14 B、 12.56 C、6.28

5] The degree ratio of the three internal angles of a triangle is 2: 3: 4, and this triangle is a () triangle.

A, acute angle b, right angle c, acute angle

Second, calculation.

1, the number is written directly:

× 12= 2.5- 1.7= ÷3= 0.5×(2.6-2.4)=

2.2+3.57= - = 3.25×4= 0.9×(99+0.9)=

2. Solve the equation:

x- 1.8 = 4.6 4+0.2x = 30 = 8x-2x = 25.2

3, calculate the following questions, can simplify:

1488+ 1068÷89 4.2÷ 1.5-0.36

4. Only column types are not calculated:

(1) 27.2 Subtract the sum of 1 1.8 and 13. What is the difference?

(2) More than 25% of X, what about X?

Third, the operation problem:

1, make the height on the base of the triangle, measure the base as () cm and the height as () cm, and calculate the area of the triangle.

2. Draw a circle with a diameter of 4 cm, and draw two vertical diameters on the circle.

Fourth, the application problems:

1. Zhong Bai supermarket delivered 350kg of cucumbers and tomatoes, of which the weight of cucumbers accounted for all. How many kilograms of cucumbers were shipped?

A barrel of oil is used, and there are still 48kg left. How much did this barrel of oil weigh at first?

The distance between Party A and Party B is 270km. Two cars A and B leave from Party A and Party B at the same time. Car A travels 42 kilometers per hour and car B travels 48 kilometers per hour. Two cars meet in a few hours.

Yong Guang Agricultural Machinery Factory plans to produce 384 small harvesters within 8 days. Due to the improvement of production technology, it actually produced 65,438+06 harvesters per day more than originally planned. How many days does it actually take to complete this task?

5. A project needs four hours of cooperation between master and apprentice. If the apprentice does it alone, it will take six hours to finish it. So, how many projects does the master need to complete in four hours?

Entrance Examination Paper (1)

Fill in the blanks.

1, a number consists of 800 million, nine tens, six millions and three hundred and four tens, and this number is (). The number rewritten as "ten thousand" is (), and the mantissa after omitting "one hundred million" is ().

2. It takes an average of () times to cut the 2m-long wire into five sections, each section is () long and each section is () meters long, and each section is 1m ().

3, 320 cm = () m () decimeter 4.8 tons = () tons () kg

4. 12: 20 =-= (): 4 = ()% = () (fill in decimal places)

5. If the ratio of A to B is 4: 3, then B is smaller than A by ()%.

6. The ratio of165: 45 is (), and the simplest integer ratio is ().

8.A=2×2×7 B=2×2×5, then the greatest common divisor of A and B is () and the smallest common multiple is ().

9. The circumference of a rectangle is 50 decimeters, the width is 23, and the area of this rectangle is () square decimeters.

10, () The statistical chart can not only clearly show the quantity, but also show the change of the quantity.

Second, judge.

1, a fraction, the larger the denominator, the smaller the decimal unit. ( )

2. Natural numbers are either prime numbers or composite numbers. ( )

3. Cubes with equal volumes must also have equal surface mechanical products. ( )

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

Any triangle has at least two acute angles. ( )

Third, choose.

1, the side length of the cube is expanded by 3 times, and the volume is expanded by () times.

a、3 B、9 C、27

Xiao Ming drew a 6 cm long ().

A, straight line b, line segment c, ray

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

a、x+y= 10 B、x-y= 10 C、y= 10x

4. Delete 0 from the following numbers, while the size remains the same ().

a、8.009 B、 1800 C、 16.00

5. The smallest four-digit number that can be divisible by 2, 5 and 3 at the same time is ().

a、 1200 B、 1005 C、 1002

Fourth, calculation.

1, a number written directly.

0.25×300 2.25+2.75 2.35 ×7 44÷ 1 1÷ 10

2.45÷7+57.57 0. 1÷0.0 1 44÷4+4× 14

3. look for the unknown.

x-0.8x-6 x:23 = 183 23 x- 12 x+ 1.2 = 3.4 7 x = 0.25+2x

4. Calculation of the following problems can be simplified.

( 1)[ 12 -(34 -35 )]÷7 10 (2) 10.5- 10.5÷74 ×29

8.7×6.5+8.7×4.5-8.7 (45 + 14 )÷73 +7 10

5. Column calculation.

(1) 1020 1 minus 78, how many times in a row, and the final difference is 6 1?

(2) 80% of a number is 1.75 greater than 38 10. What's this number?

34 of a number is 60. What is 25% of this figure?

Fifth, the operation problem.

Draw a circle with a radius of 1.5 cm, and then draw two symmetrical axes of this circle, and make the two symmetrical axes perpendicular to each other.

Sixth, the application problem.

1. A table is more expensive than a chair 10 yuan. If the unit price of chairs is 25 of that of desks, what is the unit price of desks and chairs?

2. A batch of cement *** 185 tons, 40% on the first day, 37 tons on the second day, and the rest on the third day. What is the proportion of this batch of cement shipped on the third day?

3. Make a cylindrical oil drum with iron sheet. The circumference of the bottom is 12.56 decimeters, and the height is 5 decimeters. How much iron does it take to make this oil drum? If 1 liter of gasoline weighs 0.68kg, how many kilograms of gasoline can this oil drum hold? (As a result, the whole kilogram was retained)

4. Put a stone into a rectangular container with the length and width of 12 decimeter and the height of 15 decimeter, and the water level rises from 8 decimeter to 10.4 decimeter to find the volume of the stone.

5. The length of a cuboid is 7 12cm, the height is 3cm and the volume is 90cm3. What is the surface area of this rectangle?