Find four arithmetic problems in the sixth grade of primary school

2.8/9 × 15/36 + 1/27

3. 12× 5/6 – 2/9 ×3

4.8× 5/4 + 1/4

5.6÷ 3/8 – 3/8 ÷6

6.4/7 × 5/9 + 3/7 × 5/9

7.5/2 -( 3/2 + 4/5 )

8.7/8 + ( 1/8 + 1/9 )

9.9 × 5/6 + 5/6

10.3/4 × 8/9 - 1/3

1 1.7 × 5/49 + 3/ 14

12.6 ×( 1/2 + 2/3 )

13.8 × 4/5 + 8 × 1 1/5

14.3 1 × 5/6 – 5/6

15.9/7 - ( 2/7 – 10/2 1 )

16.5/9 × 18 – 14 × 2/7

17.4/5 × 25/ 16 + 2/3 × 3/4

18. 14 × 8/7 – 5/6 × 12/ 15

19. 17/32 – 3/4 × 9/24

20.3 × 2/9 + 1/3

2 1.5/7 × 3/25 + 3/7

22.3/ 14 ×× 2/3 + 1/6

23. 1/5 × 2/3 + 5/6

24.9/22 + 1/ 1 1 ÷ 1/2

25.5/3 × 1 1/5 + 4/3

26.45 × 2/3 + 1/3 × 15

27.7/ 19 + 12/ 19 × 5/6

28. 1/4 + 3/4 ÷ 2/3

29.8/7 × 2 1/ 16 + 1/2

30. 10 1 × 1/5 – 1/5 × 2 1

3 1.50+ 160÷40 (58+370)÷(64-45)

32. 120- 144÷ 18+35

33.347+45×2-4 160÷52

34(58+37)÷(64-9×5)

35.95÷(64-45)

36. 178- 145÷5×6+42 420+580-64×2 1÷28

37.8 12-700÷(9+3 1× 1 1) ( 136+64)×(65-345÷23)

38.85+ 14×( 14+208÷26)

39.(284+ 16)×(5 12-8208÷ 18)

40. 120-36×4÷ 18+35

4 1.(58+37)÷(64-9×5)

42.(6.8-6.8×0.55)÷8.5

43.0. 12× 4.8÷0. 12×4.8

44.(3.2× 1.5+2.5)÷ 1.6 (2)3.2×( 1.5+2.5)÷ 1.6

45.6- 1.6÷4= 5.38+7.85-5.37=

46.7.2÷0.8- 1.2×5= 6- 1. 19×3-0.43=

47.6.5×(4.8- 1.2×4)= 0.68× 1.9+0.32× 1.9

48. 10. 15- 10.75×0.4-5.7

49.5.8×(3.87-0. 13)+4.2×3.74

50.32.52-(6+9.728÷3.2)×2.5

5 1.[(7. 1-5.6)×0.9- 1. 15] ÷2.5

52.5.4÷[2.6×(3.7-2.9)+0.62]

53. 12×6÷( 12-7.2)-6 (4) 12×6÷7.2-6

mathematics

First, fill in the blanks. (9 points)

1, 6045809090 is pronounced as (six billion four hundred and fifty thousand Wu Bai eight hundred and ninety), and the approximate number rounded to ten thousand places is (60458 1) ten thousand.

The decimal units of 2 and 5 are (units). If the decimal unit such as (1) is removed, it will become the smallest composite number.

Of the four figures of 3.0.6, 66% and 0.666, the largest is (0.666) and the smallest is (0.6).

4. Of the nine numbers1to 9, two adjacent numbers are prime numbers (5) and (7), and two adjacent numbers are composite numbers (4) and (6).

5.A number = 2× 3× 5, B number = 2× 5× 7, the greatest common divisor of A number and B number is (5), and the least common multiple is (2 10).

6. Prepare a brine with the weight ratio of salt to water of 1:2, and the salt is the weight of brine (1/3).

7. Put two squares with a side length of 5 cm into a rectangle with a circumference of (30); The area is (50).

8. The surface area of a cube with a side length of 6 cm is (2 16). The volume is (2 16).

9. In A ÷ B = 5 ... 3, A and B are expanded three times at the same time, the quotient is (5), and the remainder is (3).

Second, the judgment, the correct "tick", the wrong "x". (6 points)

1, it is easier to see the change of quantity and energy in broken-line statistical chart. (right)

2. The former term of the ratio is multiplied by 2, and the latter term of the ratio is divided by 2, and the ratio remains unchanged. (error)

3.Decimal is a number less than 1. (error)

4. Two even numbers are definitely not prime numbers. (right)

5. The equation is an equation, but the equation is not necessarily an equation. (right)

6. The quotient of 1 .3 divided by 0.3 is 4 and the remainder is1. (error)

Third, choose the serial number of the correct answer in (). (12)

1, the wheel rolls once, and the distance traveled is to find the wheel (②).

① Diameter ② Perimeter ③ Area

2. When calculating the volume and volume of rectangular wooden cases, (3) is the same.

① Calculation formula ② Significance ③ Measurement method

3. The prime factor of decomposing 60 is 60 = (②).

① 1×2×2×3×5 ②2×2×3×5 ③3×4×5

4. If number A and number B are not equal to 0, then number A is1/3 >; 0/3 of 65438+B, then (①).

① A number > B number ② B number > A number ③ A number = B number

5. The length of a steel pipe is15m, and 1/3 of the total length is cut off. According to the formula 15× (1- 1/3), the problem is (②).

(1) How many meters are cut off? ② How many meters are left?

(3) How many meters more than the rest? (4) How many meters are left over from the cut?

6. For a batch of corn seeds, the ratio of germinated grains to ungerminated grains is 4: 1, and the germination rate of these seeds is (②).

①20% ②75% ③25% ④80%

Fourth, the calculation problem. (3 1)

1, a number written directly. (6 points)

25×24=600 4.2÷0.2=2 1 12-2= 10

1.25×8= 10 1÷0.6=5/3 4÷2=2

2. Use a simple method to calculate. (6 points) 1

①3.5%×9.9=3.465 ②4.62+9.9= 14.52 ③4×0.6+0.6÷4=2.25

3. Off-mold calculation. (12)

①2700×(506-499)÷900 ②33.02-( 148.4-90.85)÷2.5

=2700×7÷900 =33.02-57.55÷2.5

= 18900÷900 =33.02-23.02

=2 1 = 10

③( 1÷ 1- 1)÷5. 1 ④ 18. 1+(3-0.299÷0.23)× 1

=( 1- 1)÷5. 1 = 18. 1+ 1.7x 1

=0÷5. 1 = 18. 1+ 1.7

=0 = 19.8

4. Solve the equation. (4 points)

① 5x+ 15x=400

Solution: 20X=400

X=20

5. Column calculation. (6 points)

1, 0.4 less than 20% of a certain number is 7.2. Find a number. (Equation solving)

20%x-0.4=7.2

What is the sum of the difference between 2.0.9 and 0.2 plus 1 divided by l.25?

0.9-0.2+ 1.25÷ 1

6. The circumference of the circle below is 25. 12 cm. Find the area of the graph. (5 points)

25. 12÷3. 14÷2 4×4×3. 14

=8÷2 = 16×3. 14

= 4cm = 50.24cm2.

Seven, application questions. (35 points)

1. The construction team dug a canal. It was originally planned to dig 100m every day, and it was completed in 24 days, but it was actually completed 4 days ahead of schedule. How many meters does it actually dig every day?

100×24÷(24-4)

=2400÷20

= 120 (m)

2. A car traveled from A to B three hours ago 156 km. At this speed, it takes 8 hours to get from A to B. How many kilometers is there between A and B? (Use proportional solution)

156/3 :x/8

Solution: 3 x= 156×8

X=4 16

3. There are two ribbons, the first one is 6.2 meters long, and the second one is 0.2 meters shorter than the second one. How many meters are the two ribbons?

6.2+(6.2×2-0.2)

=6.2+ 12.2

= 18.4 (m)

4. A school uniform 54 yuan, in which the price of trousers is 4/5 of that of coat. What are the prices of coat and trousers?

X+4/5 X=54

9/5 X=54

X=30

30×4/5=24

5. To build a road, it takes four days for the first construction team and six days for the second construction team. If the two teams repair together, how many days can the road be completed?

1÷( 1/4+ 1/6)

= 1÷5/ 12

=2.4 (days)

6. On the map with the scale of1:4,000,000, the distance between A and B is 20 cm, and two trains start from A and B at the same time. The speed of A train is 55 kilometers per hour and that of B train is 45 kilometers per hour. They will meet in a few hours.

20/x: 1/4000000 8000000 cm =800 km

1x = 20×400000800(55+45)

X=80000000 =8 (hours)

7. A conical rice pile, with a bottom radius of 1 m and a height of 1.5 m, weighs about 600 kg per cubic meter of rice. How many kilograms does this study pile weigh?

1× 1×3. 14× 1.5× 1/3×600

=3. 14× 1.5× 1/3×600

=4.7 1× 1/3×600

= 1.57×600

=942 (kg)

In 2005, the sixth grade primary school mathematics graduation examination paper.

Proposal: Guo Jianhua

First, knowledge and skills. (63 points)

1, fill in the blanks, (2 points for each question, ***24 points. )

(1), select the company first, and then calculate.

Ton centimeter kilogram square decimeter square centimeter cubic centimeter

2.45m = () 3. 12t = ()

36 square decimeter 50 square centimeter =() 4005 kg = ()

(2) It is estimated that your height is about (), and the blackboard area in your classroom is about ().

(3) A rope can be cut into () sections by folding it in half for three times and cutting it in the middle.

(4) Write the ratio so that the product of its two internal terms is 8. (Write at least 2)

(5) The sum of all the simplest true fractions whose denominator is 10 is ().

( )

( )

(6) Among the numbers15 and 5, 20 and 3, 160 and 20, 2 and 253, 0.9 and 0.3, the number with divisor and multiple relation is ().

(7) Build a canal 500 meters long. It has been built, and it has been repaired more than it has been repaired, and it has been repaired by () meters.

(8) Cut a section of cylindrical forest material with a volume of 52.8 cubic decimeter into the largest cone, and the volume of the cut part is () cubic decimeter.

(9) Precision parts are 5 mm long. If it is drawn on the part drawing with the ratio of 12: 1, the length should be () cm.

(10), the China sports delegation won 129 gold medals in the 13 Asian Games and 150 gold medals in the 14 Asian Games, a year-on-year increase of ()%.

(1 1), if =, then the relationship between x and y is (); If 14X=Y, then x and y have a () relationship.

(12), if the circumference of a square piece of paper is 12 decimeter, cut it into the largest circle, then the circumference of this circle is () decimeter.

2. multiple choice questions. Fill in the number of the correct answer in the brackets. *** 10 integral)

(1) Look at the 30-degree angle with a 5-fold magnifying glass. After magnification, the degree of the angle is ().

A, 150 degrees b, 30 degrees c, 60 degrees d, uncertain.

(3) An integer accurate to 10,000 digits is 300,000. Before this number is accurate, it may be ()

a、294999 B、309 1 1 1 C、304997

(4) The lateral expansion of the cylinder is square. The ratio of the diameter to the height of the bottom of this cylinder is ().

a、 1:π B、 1:2π C、 1:4 π D、2:π

(5) to judge the following relationship is correct ()

A, odd number+odd number = odd number b, prime number × prime number = composite number c, composite number+composite number = composite number

3. calculation. (***29 points)

(1) Calculate by the method you like. (12)

4 -2.63+5 +0.37 ×[5 -(2 +3 )]

13.5÷[ 1.5×( 1.07+ 1.93)] 40 ÷ 8+6 ×

(2) Find the unknown X. (4 points)

= 2X- 1 +2.35 = 7

(3) text questions. (6 points)

(1) A number plus 2.8 equals 12.8. Find this number.

② What is the sum of12% plus 1.25 divided by 80?

(4) The area of the rectangle in the picture below is 45 square decimeters. Find the area of the shaded part. (4 points)

five

minute

rice

Second, comprehensive application. (***37 points)

3. Measurement, calculation and drawing. (The picture below is a schematic diagram of the old city of Jinyun County, taking the whole centimeter. ) (3 points)

north

Town government

Shengli steet

Cross Street

0100 200m

(1) The town government is located about meters from Cross Street;

(2) Jinyun Experimental Primary School is located in the northeast, with an included angle of 40 degrees from due north and 300 meters from Crossstreet. Please use ""to draw the position of Jinyun Experimental Primary School in the picture.

(3) Cross Street is 300 meters east of Miaohou Road, parallel to Fuxing Street. Draw a line in the picture to show the back road of the temple.

4. The workshop planned to produce 900 parts in 30 days, but actually produced 435 parts in the first 15 days. According to this calculation, can we finish the plan on time? (4 points)

The liquid beverage is sealed and packed in a rectangular plastic paper box. Measured from the outside, the box is 6 cm long, 4 cm wide and 10 cm high. The box surface is marked with "net content: 240ml". Please analyze whether the description is false. (4 points)

6. In the fourth grade of Jinyun Experimental Primary School, 120 people participated in the open mathematics competition. The number of winners accounts for the total number, and the number of winners is girls. What percentage of the total number of awards were won by boys? (4 points)

There is a rectangular open space in the school, which is 50 meters long and 20 meters wide. How did you design it? Draw a sketch. (Draw at least four kinds with the ratio of 1: 1000) (4 points)

8. The store sells two washing machines at the same time, each of which is 2400 yuan, one of which is 20% higher than the purchase price, and the other one.

One is 20% lower than the purchase price. Generally speaking, does the store make money or lose money? (3 points)