Name:

Fill in the blanks. (24 points, 2 points for each question)

1, a number, which is 9 in a million miles, 7 in a million miles, 5 in a hundred thousand miles and a thousand miles, and everything else is 0. This number is written as (? ), read as (), rewritten as a number () in units of ten thousand, and the mantissa after omitting hundred million is () ten thousand.

2、8÷( )=(? ):4= 0.25 ==( ? )%=(? ) (converted to digital)

3. The top angle of an isosceles triangle is 80, and one of the bottom angles is ().

4. If a=2×3×5×7 and b=2×3×3×5, then the greatest common divisor of A and B is (? ), the least common multiple is (? )。

The unit of 5 and 2 scores is (? ), which contains () such decimal units; It adds at least () such decimal units to become the smallest composite number.

6. 10 meter (? ) 20% meters long; (? ) 20% less than 6.

7. On the map with the scale of 1: 1250000, the distance between the two cities is 8 cm, and the actual distance between the two cities is (? ) kilometers; If you draw on a map with the scale of 1: 8000000, the distance on the map is (? ) centimeters.

8. Project A will be completed in one hour by one person and in one hour by B. If Party A and Party B make joint efforts, (? ) hours to complete.

9. The volume of a cylinder is 60 cubic centimeters, and the volume of a cone with equal bottom and equal height is (? ) cubic centimeters. If the height of this cone is 3 cm, then the height of the cylinder is () cm.

10. There are five black balls and four white balls of the same shape in a box. What are the chances of meeting one of them? ), in order to make it possible to touch the white ball, you can put () a yellow ball.

1 1. Aunt Wang deposited 5,000 yuan in the bank for three years, with an annual interest rate of 5.4%. If the interest tax is 5%, she can get back the principal and interest from the bank at maturity. ) yuan.

12,5.4 square kilometers = () hectares = () square meters? 3 hours and 45 minutes = () hours

1 m3 50 m3 decimeter = () m3 0.65m = (? ) decimeter () centimeter

Second, judge. (5 points, 65438+ 0 point for each question)

1, add "0" or remove "0" after the decimal point, and the decimal size remains the same. ( )

2. There are three points less than, and. ()

3. If the perimeters of a square, rectangle and circle are equal, then the square has the largest area. ( )

4. The total working time is fixed, and the time required to produce each part is inversely proportional to the number of parts produced. ( ? )

5. For two circles with different sizes, the ratio of circumference to diameter of the big circle and the ratio of circumference to diameter of the small circle are equal. (? )

Third, multiple choice questions. (5 points, 65438+ 0 point for each question)

1 80 million is rewritten as "10,000" ()

A, 8 thousand b, 80 million? C, 800 million d, 800 million.

2, 2×3×6=36, 2, 3 and 6 are all 36 (? )

A, multiple? B, prime factor c, common divisor d, divisor

The remainder of 3.2700÷500 is (? )

a、2 B、20？ 200 pounds

4,0.625× 5.8 +× 4.2 = 0.625× (5.8+4.2) This is the application of multiplication (? )

First, the exchange method? B, the law of association? C, distribution method

5, numerator plus 6, so the size of the fraction remains the same, then the denominator should be added (? )

a、6？ b、7？ c、8？ d、 16

Four, calculation (26 points)

1, a number written directly. (8 points, 65438+ 0 point for each question)

0.4×0.5=? 0.0 1÷4=? :0.25=-=? 0.25+0=

0. 125÷=? 3.26+(4.8-3.26)=? 72× 156-56×72=

2. Calculate by your favorite method. (18, 3 points for each question)

15―4.25―525×32× 125[4-(-)]×

4.8÷+5.2× 709×99+709 2.5×0.4×2

3. Solve the equation. (6 points, 2 points for each question)

2X+30%=9.2 X-X=？ :=X:

4. Only types are listed, not calculated. (4 points,)

What is the product of 1 and 125 minus 12%? ? What is the result of dividing the sum of 25 of 2.8 by 4 times of 5.3?

Fifth, the operation problem. (6 points, 2 points for each question)

1. Rotate the figure A clockwise by 90 degrees around the O point to get the figure B, and then translate the figure B to the east by 3 squares to get the figure C. ..

2. Sixth-grade primary school students in a village 10. In a math exam, two students were excellent, four students were good, three students were average, and the rest were poor. Please draw a fan-shaped statistical chart according to the grades of excellent, good, medium and poor.

The picture on the right shows a section of expressway. If a path is built from point A and point B to connect with the expressway, what should be done to make these two paths shortest? Please draw it on the picture.

A.

B.

Sixth, solve the problem. (24 points, 6 points for the sixth question, 3 points for each other)

1. The school bought 35 boxes of colored chalk, and bought more white chalk than colored chalk 100%. How many boxes of chalk did you buy?

2. Distance between the two places 120km. Two people, A and B, ride bicycles from two places at the same time. Car A runs at the speed of 14 km per hour. Four hours later, I met car B. What is the speed of car B? (Equation)

3. A farmer harvested wheat and harvested 165 hectares in three days. According to this calculation, how many hectares can he harvest in eight days? (Column ratio)

4. Red Star Village dug a well. The circumference of the wellhead outer edge is 3. 14m. I want to put a manhole cover on it. What is the area of the manhole cover? If a 4.5-meter-wide gravel yard is laid along the well, each car can lay 12 square meters of pebbles. How many cars should be transported at least?

The length of the classroom is 8 meters, the width is 6 meters and the height is 3.5 meters. Now we must paint the walls around the classroom. After deducting the door and window area of 16 square meter, how many square meters is the area to be painted? If you use 1 kg paint every 2 square meters, how many kilograms of paint does it take to paint this classroom?

6. Make a cylindrical iron drum without a cover, with a bottom diameter of 30 cm and a barrel body of 40 cm. How many square centimeters of iron do you need at least (joints ignored)? How much water can this barrel hold at most?

7. The ratio of boys to girls in one class is 3: 4, and then two girls are transferred. At this time, the ratio of boys to girls is 5: 7. How many girls are there in this class?

Sorry, I didn't find the answer in this paper.

Selected Mistake-prone Problems in Xiaoshengchu Mathematics (Fill in the blanks)

1, the base angle of the triangle is 45 degrees, and the top angle is (90) degrees. This triangle is called a (right angle) triangle.

2. There is a 20-cm-long iron wire, which is used to enclose a quadrilateral with opposite sides of 4 cm. This quadrilateral may be (square).

3. Team A and Team B complete a project in 20 days. It is known that the work efficiency ratio of Team A and Team B is 4: 5, and it takes Team A (36) days to complete the project alone.

The hour hand of a clock is 3 cm long, and the distance traveled by its tip in one day and night is (18.84) cm.

5. On a rectangular iron plate with a length of 10 decimeter and a width of 6 decimeters, at most (15) circular iron plates with a diameter of 2 decimeters can be intercepted.

6, 3/4 tons can be regarded as 3 tons (1/4) or 9 tons (112).

7. The side length ratio of two cubes is 1: 3, the surface area ratio of these two cubes is (1): (9), and the volume ratio is (1): (27).

8. There are 1 cuboid warehouses with a length of 50m, a width of 30m and a height of 5m. This cuboid warehouse can hold up to 750 8m3 cuboid containers.

9. A small cube with a side length of 1 cm needs at least (8) cubes to make a larger cube, and (1000) cubes to make a larger cube with a side length of 1 decimeter. If these cubes are arranged in a row, they can be arranged in (10) meters.

10, 20% of a number is 100, and 3/5 of this number is (300).

There are 48 people in class 1 1 and class 6 (1) today, and 2 people are on leave due to illness. The attendance rate on this day was (96)%.

12, the quotient of a divided by b is 2, then A: B = (1): (2).

13, 5/8 of a is equal to 5/ 12 of b, and A ∶ B is equal to (2)∶3.

14, the former 4∶ 15 plus 2.5, and the latter (9.375) to keep the ratio unchanged.

15,6/5 tons: 350kg, the simplified ratio is (24:7), and the ratio is (24/7).

16. After 1/8 of the number of people in Class A is transferred to Class B, the number of people in both classes is equal. It turns out that the ratio of Class A to Class B is (4:3).

17. The distance traveled by Party A is 4/5 of that of Party B, the time spent by Party B is 4/5 of that of Party A, and the speed ratio between Party A and Party B is (16:25).

18, a number consists of 5 million tens, 8 thousands and 40 tens. This number is written as (5008400), rewritten as (50084) ten, and the mantissa is written as (500) ten after omitting ten thousand.

Within 19 and 50, there are only numbers with prime factor 2 (2, 4, 8, 16, 32).

20. A rope is 4 meters long. It is divided into five sections on average, each section is (1/5) of this rope, and the length is (4/5) meters, which is equal to 1 meter (4/5).

The units of 2 1 and 3/8 are (1/8), and adding (4) such units is 87.5%.

22. Fill in the single-digit fraction in brackets, 3/4 < (7/9) < 4/5.

23. The least common multiple of15+5 is (3) times the greatest common divisor, and their product is (5) times the greatest common divisor, which is the (greatest common divisor) of these two numbers.

24, expressed in letters:

(1) Team A completed a project in one day and Team B completed another project in two days. How many days will (ab/a+b) be completed when two teams cooperate?

(2) The quotient of 3 times the sum of A and 7 divided by 5 is (3(a+7)/5). (3) The quotient of n divided by m is (m/n).

25. A 2-meter-long wooden stick with a cross-sectional diameter of 6 cm has an increased surface area (84.78 cm2) after being cut into four sections, and its original volume is (16956 cm3).

26.x=5b-2b, and b and x are in (positive) proportion.

27. The length of one rope is 4/5 of that of another rope, and the other rope is longer than the other rope (1/4).

28. The approximate value of an integer in tens of thousands is 50000, the maximum value is (54999) and the minimum value is (45000).

29. A rectangular paper with a length of 30 decimeters and a width of 20 decimeters can cut at most (70) isosceles triangles with a right angle of 4 decimeters, and at most (35) circles with a radius of 2 decimeters.

30. In a right triangle, the lengths of three sides are 6 cm, 8 cm and 10 cm respectively, and the area of this triangle is (24) square cm.

3 1, a cylindrical glass, the measured inner diameter is 10 cm, and the drug depth inside is 16 cm, accounting for 80% of the contents of the glass. If liquid medicine is filled, it should be (1570) ml.

32. If a book is priced at 10 yuan, the net profit is 25%; If the net profit is 40%, each book is priced at (1 1.2) yuan.

33,4/11numerator plus 12. To keep the size of the fraction unchanged, the denominator should be added with (33).

34.A and B are both natural numbers, and A > B. If A-B = 1, then their greatest common divisor is (1) and their least common multiple is (AB).

35. A two-digit number divisible by 3 and 5 at the same time. If this number is odd, the maximum value is (75); If it is an even number, the minimum value is (30).

36. The sum of the simplest true fractions with a denominator of 6 is (5/2).

37. Two-digit figures. The number in the tenth place is m, and the number in the second place is n, which is (10m+n) with a formula containing letters.

38, a two-digit decimal, its approximate value is 4.0, the maximum number is (4.04), and the minimum is (3.90).

The decimal unit of 39,5/7 is (1/7), and there are (5) such decimal units, plus (9) such decimal units are equal to the smallest prime number.

40. From City A to City B, it takes 5 hours by truck and 6 hours by bus. The speed ratio of trucks and buses is (6:5), and the speed of trucks is 20% faster than that of buses.

4 1, the number a is 60% of the number b, the number a is 40% less than the number b, and the number b is 2/3 more than the number a.

42. The remainder of a number divided by 2, 3 and 5 is 1, and the minimum number is (3 1).

43. Cut a cuboid with a length of 5 decimeters, a width of 4 decimeters and a height of 3 decimeters into the largest cube with a side length of 3 decimeters.

44. Molecular A has (a- 1) false scores. ..

45.M+ 1 is an even number, and the last two even numbers are (M+3, M+5).

46.N is a multiple of 7, and the multiples of 7 before and after are (N-7) and (N+7) respectively.

47. 5/6 means dividing (1) into (6) parts, taking (5) parts, and the scoring unit is (1/6), and adding (19) such scoring units is equal to the minimum composite number.

48. The greatest common divisor of two numbers is 1 and the least common multiple is 72. These two numbers are (8) and (9) or (1) and (72).

49. Three kilograms of apples are distributed equally among nine children. Each child gets (1/9) apples, and each child gets (1/3) kilograms.

50. Among natural numbers, the smallest number is (0), the smallest odd number is (1), the smallest even number is (0), the smallest prime number is (2), and the smallest composite number is (4).

5 1, saw a 3-meter-long wooden stick into small pieces with the same length, each piece was sawed four times, each piece was (3/5) meters long, and each piece accounted for (1/5) of the total length.

52. Among natural numbers, the smallest number that is neither prime nor even is (1); Both prime numbers and even numbers are (2); The smallest number that is both odd and prime is (3); The smallest number that is both an even number and a composite number is (4).

53, 64006000 written as "ten thousand" is (64006) ten thousand, and the mantissa after omitting ten thousand is about (64065438+ ten thousand).

54. A trapezoid, the sum of the upper and lower bottoms is one decimeter, the height is half of the sum of the upper and lower bottoms, and the area of this trapezoid is (one square quarter) square decimeter.

I'm sorry that there are many unanswered questions, but I hope my paper can help you.

? a∶B∶8∶ 15？ c、 15∶8？

The second semester of experimental primary school is 20 10-20 1 1 school year.

Examination Paper for the Mid-term Self-taught Examination in the Second Volume of Grade Six Mathematics (P 1-75)

Class: Name:? Achievements: _ _ _ _ _ _ _ _

1. Fill in the blanks: (1, 2 points for questions 3, 4 and 5, and the rest 1 point, * * * 20 points).

1、? 6.8 cubic meters = () cubic decimeter 600 ml = () liters

4.8 meters = (? )m () cm 5: 00 15: 00 =()

2, () neither sure nor negative; 3 0C below zero is recorded as (? )0 .

3. fill in >,