True or False

(Mark "√" for the right and "×" for the wrong)

1 and scores less than 45 are 35, 25 and 15, respectively. ( )

2. 15 of a number equals17 of b number (a >); 0), the ratio of a to b is 5: 7. ( )

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

4. Add "0" or remove "0" after the decimal point, and the decimal size remains unchanged. ( )

5. The sixth grade students were in class today 100, and two students were absent from class, with an attendance rate of 98%. ( )

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

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

8.70 yuan, the original price of a commodity minus 20%, the current price 14 yuan. ( )

9. A rope is 97 100 meters long, which can also be written as 97%. ( )

10, the denominator of a fraction contains prime factors other than 2 and 5, so it cannot be converted into a finite decimal. ( )

1 1, the numerator and denominator of a fraction are simultaneously enlarged or reduced by 12 times, and the size of the fraction remains unchanged. ( )

12. If two straight lines do not intersect, they are parallel. ( )

13. Dissolve 10g sugar in 100g water, and the ratio of sugar to water is 1: 1 1. ( )

14, the perimeter of a rectangle and a square is 16 cm, so their areas are equal. ( )

15. Draw a circle in the square, and the area of this circle must be greater than 34 of the square area. ( )

16, the operation order of fractional elementary arithmetic is the same as that of fractional elementary arithmetic. ( )

17, ray is shorter than straight line. ( )

18, cut a watermelon into five equal parts, and two parts are its 25. ( )

19, obtuse angle must be greater than 90. ( )

20, 12÷4 and 4÷ 12 have different meanings and calculation results. ( )

2 1, any even number can decompose the prime factor. ( )

22.9 0. The sum of 1 and110 is1. ( )

With the bar chart, we can not only see the quantity clearly, but also see the change of the quantity. ( )

24. 1 g salt is put into100g water, and the ratio of salt to brine is11. ( )

25. Two rectangles with equal perimeters must have the same area. ( )

26. Two numbers that become prime numbers must both be prime numbers. ( )

27. The number of A is 20% more than that of B, that is, the number of B is less than that of A 15 ... ()

28. The area of a triangle is half that of a parallelogram with equal base and height. ( )

29. The circumference of a circle is directly proportional to its diameter. ( )

30, 2, 3 and 5 can be divided by 630 at the same time. ( )

3 1, the multiple of a number must be greater than the divisor of a number. ( )

32,5.372372372 is a pure cyclic decimal with a cyclic segment of "372". ( )

33, a decimal divided by 0, this formula is meaningless. ( )

34.A is an integer, and the reciprocal of A is1a. ( )

35. Every face of a cuboid must be a rectangle. ( )

36. If two numbers are the same size, then their counting units must be the same. ( )

37. Natural numbers are either odd or even. ( )

38. The second-year students planted 1 10 trees and lived 100 trees, with a survival rate of 100%. ( )

39.A is more than B 14, that is, B is less than A 14 ... ()

40. To complete a project, Party A needs 65,438+04 hours and Party B needs 65,438+05 hours. Party A's work efficiency is higher than Party B's ... ()

4 1, the circle has countless symmetry axes. ( )

42. A composite number has at least four different prime numbers. ( )

43, 8×34 and 34×8 have the same calculation results and the same meaning. ( )

44. A straight line is 8 cm long. ( )

45. A job takes 65,438+03 hours to complete and 65,438+06 hours to complete, so A is faster than B.

46. 10 is 100, and1000 is 10,000. ( )

47,8× 78×1.25 = 8×1.25× 78 is the application of multiplicative commutative law. ()

48,26 ÷ 2 is pronounced as 26 divided by 2, and can also be pronounced as 2 divided by 26. ( )

49. Fifty trees were planted and two died, with a survival rate of 48%. ( )

50, 12a=25b, then a:b=4:5. ( )

Select a theme.

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

A, 08,000 b, 80 million c, 800,000 d, 800 million.

2, 2×3×6=36, and all three numbers of 2, 3 and 6 are 36 ().

A, multiple b, prime factor c, common divisor d, divisor

The actual length of a part is 7 mm, but the length measured on the drawing is 3.5 cm. The scale of this painting is ()

a、 1:2 B、 1:5 C、5: 1 D、2: 1

4. Saw the wire with the length of 13m into four equal parts, each of which is the original length ().

a、 13m b、 1 12m c、 14 D、 1 12。

5. Two natural numbers, the sum of their reciprocal is 12, and these two numbers are ().

A, 0 and 2 B, 1 and 1 C, 4 and 2 D, 3 and 6.

6. If 2/3 of A is equal to 3/5 of B, then A: B is equal to ().

a、6: 15 B、 10:9 C、 15:6 D、9: 10

7. Draw a circle with a compass. The circumference of the compass is 12.56 cm, and the distance between two feet of the compass is ().

a，2cm b，4cm c， 12.56cm。

8, Jianli hydrological station is used to measure the change of water level and () the selection of statistical chart.

A, horizontal bar b, dotted line c, fan-shaped

9. There is a () line segment here.

A, three B, four C, five D and six.

10, the bottom areas of cylinder and cone are equal, and the height of cone is three times that of cylinder. Then the volume of the cone () is the volume of the cylinder.

A, less than b, equal to c, greater than

1 1, the price of a commodity first rises 10%, and then falls 10%. Now the price of goods is higher than before ().

A, increase B, decrease C, no change.

The remainder of 12 and 2700÷500 is ().

a、2 B、20 C、200

13, the following numbers can't be converted into finite decimals ().

a、 1932 B、7 16 C、 13 15 D、720

14, 0.625× 5.8+58× 4.2 = 0.625× (5.8+4.2) This is the application of multiplication ().

A, commutative law b, associative law c, distributive law

15,911is expressed in decimals, and the result is () if it is accurate to one thousandth.

a、0.8 1 B、0.8 1.80 C、0.8 1.8D、0.8 1.9

16, a cylinder, dig out the largest cone and become a container. The volume of this container is the original cylinder ().

a、 13 B、23 C、33

17, the following fraction can be converted into a finite fraction is ().

a、7 1 1 B、760 C、734 D、735

18 plus 6,38. To keep the fraction size unchanged, please add () to the denominator.

a、6 B、7 C、8 D、 16

19, the radii of the small circle and the big circle are 2cm and 5cm respectively, and the ratio of the area of the small circle to the big circle is ().

a、2:5 B、4: 10 C、4:25 D、2: 10

20, 13, π, and 3. 14 are arranged in the order of ().

a、 13 >π& gt； 3. 14 B、π& gt； 13 >3. 14 C、3. 14 & gt； 13 > pi?

2 1, the nearest integer is ()

a、4.08 1 B、4080 1 C、4089 1 D、40809

22, to make the four-digit 235□ divisible by 3, at least () is in the box.

a、 1 B、2 C、4 D、5

23, 14 meters long wire is divided into five sections on average, and the length of each section of wire is the whole length ().

a、 120m b、 120 C、 15m d、 15。

24. On a map, the distance of 60 kilometers is represented by 1 cm, and the scale of this map is ().

a、 160 B、 1600000 C、 16000 D、 1600000

25. the formula for rewriting a×b=c×d into proportion is ()

a:b=c:d B、a:c=b:d C、a:c=d:b

26. In the following equation, A is inversely proportional to B ().

a、6×a= b 1 1 B、35)a = \f(7，8 C、4 × 3a- b ÷ 6

27. The volume of a grain warehouse is about 1500 ().

a，m b，m 2 c，m 3 d，l

28, the counting unit of 0.375 is ()

A, 0. 1 B, 0.0 1 C, 0.00 1 D, uncertain.

29, 5 kg of salt is dissolved in 20 kg of water, and the weight of salt accounts for () of brine.

a、45 B、 15 C、 14

30, rectangle has () axis of symmetry.

A, 1 B, 2 C, 4 D, countless articles

3 1, and two reciprocal quantities are ().

A, proportional to B, inversely proportional to C, out of proportion

32, 0.695 keep two decimal places is ()

a、0.69 B、0.70 C、0.7 D、0.60

33,7.38 divided by 0.2 1, the quotient is 35, and the remainder is ().

A, B, C, D and III

34, 4 and 5 are ()

A, prime number b, coprime number c, prime factor d, factor

35. The volume of a cube with a side length of one centimeter is () cubic centimeters.

a、6a2 B、6a C、a+a+a D、a3

36, the volume of the cylinder is certain, and is inversely proportional to the height of the cylinder is ().

A, bottom perimeter b, bottom area c, bottom radius

37 and 3.2 have () one percent.

a、3.2 B、32 C、320 D、3200

38. The bottom area and volume of cylinder and cone are equal respectively. If the height of the cone is 9 cm, then the height of the cylinder is ().

A, 3 cm b, 9 cm c, 27 cm

39, rewrite 0.03 to 0.030, and the rewritten counting unit is ().

a、0. 1 B、0.0 1 C、0.00 1

40, 10 meter, after increasing its 15, it is ()

a， 10 15m b，945 C， 12m d，8m

4 1, constant speed, distance and time ()

A, proportional to B, inversely proportional to C, out of proportion

42, the weight of a table tennis is about 3 ()

Kilogram, pound, gram, ton, centimeter

43, 1995 There are () days in February.

a、28 B、29 C、30 D、3 1

44. To make a8 a false score and a9 a true score, A should be equal to ().

a、7 B、8 C、9 D、 10

45. When a is a number greater than 0, the smallest calculation result in the following formula is ().

A, a×45 B, a÷45 C, a÷ 13 D, uncertain.

46. The length, width and height of a cuboid are a meter, b meter and h meter respectively. If the height is increased by 3 meters, the volume of the new cuboid will increase by () cubic meters.

a、3ab B、3abh C、ab(h+3) D、abh+33

47, the following graphics, the axis of symmetry is the most ()

A, square b, rectangle c, equilateral triangle d, circle

48, the following four groups of numbers, () group is a prime number.

A, 63 and 5 1 B, 16 and 40 C, 125 and 64 D, 15 and 130.

49. Two cars, A and B, were driving in opposite directions from both places at the same time, and met at a distance of 14 km. When the two cars met, the distance was () kilometers apart.

a、7 B、 14 C、28 D、42

50, 7.59 accurate to the percentile is ()

a、7.59 B、7.600 C、7.60 D、7.6

Operations, graphics

1, the picture on the right shows a section of expressway. If you go from a, b

Build a path at two o'clock to connect with the expressway.

What should be done to make these two paths shortest?

Repair? Please draw it on the picture.

2. Each small square on the right is 1 cm2.

Try to estimate the area around the curve.

Please draw the square below in different ways.

25%. (At least in two aspects)

The following is a floor plan of a tile. Can you spell out beautiful figures with these four tiles? Please draw.

Graphical representation. (Draw at least one)

5. A and B in the picture below are a line segment in the circle. Do you think this line segment is the radius of a circle? you

How are you going to verify it? Please express your verification process in the way you like. (Write two methods.

Get full marks)

6. How many corners are left after the carpenter sawed off a square table? Write down all possible answers,

And illustrate it with a chart.

Answer 1: Yes (). Answer 2: Yes (). Answer 3: Yes ().

As shown below: As shown below:

7. Which two objects can be combined into a cuboid, a cube and a cone? Please connect. (6 points)

8, graphics and calculation.

Graphic introduction: This is an open fan. We want to calculate its circumference, as shown in Figure 2. It can be considered round.

The circumference of this fan, then, can you calculate the circumference of this fan?

9. Calculation.

(1) Complete the following questions according to the picture on the right.

(1) Change the line scale to the numerical scale is ().

② The measured length of AC is () cm and the actual length is () m..

③ Measure ∠B= () degrees. (accurate to ten places)

④ Draw the shortest route from point B to AC.

⑤ The area on the ⑤△ABC diagram is () square centimeters.

(2) Teach yourself the following passage and then answer this question.

We know that there are not many cases where the sum of two numbers equals the product of these two numbers, such as 2+2=2×2. But in terms of scores, this phenomenon is very common. Please note the following examples:

Because: 74+73 = 4 1 12 and 74× 73 = 4 1 12, 74+73=74×73.

Because: 95+94 = 4 120 and 95× 94 = 4 120, 95+94=95×94.

According to the above results, we found such a rule: if two fractions have the same () and (), then the sum of these two fractions is equal to their product. For example, ()+() = () ×).

10, please choose the place you want to go, measure, calculate and map.

1 1. How many degrees can you spell with a pair of triangular rulers? Please write down the spelling number.

12, and each small square on the right represents a square with a side length of 1 cm.

Draw a triangle with an area of 4 square centimeters.

13. As shown in the picture, a truck travels 50 kilometers per hour. How many hours does it take to transport a batch of goods from Licun to the railway station?

14, the following is a road map drawn at a certain scale from Xiaoming's home to school to Children's Palace. It is understood that the actual distance from Xiaoming's home to school is 2000 meters.

(1) Xiaoming stood at the door watching. The school is in the direction of Xiaoming's home.

(2) The included angle between Xiaoming's home and school is () degrees.

The scale of this picture is ().

(3) The actual distance from Xiaoming's home to the Children's Palace is

() Xiaoming's home is near ().

15, calculation.

Take the central square as the observation point, according to the following letters

Complete the block diagram.

(1) The cinema is 3000 meters due north.

(2) The library is in the northeast, 60 degrees from the true north.

Angle, 3500 meters from the central square.

(3) Xinhua Bookstore is in the southwest and 135 in the north.

Angle, 2000 meters away from the central square.

(4) The pedestrian street passes Xinhua Bookstore and connects with the people.

The roads are parallel.

16. The rectangular area in the picture below is 40 square centimeters. Please find the area of other figures.

17. It is known that a quadrilateral is a square, the area of a blank triangle is 56 square centimeters, and the length of ED is 7 centimeters. Find the area of the shaded part.

18. The area of the large parallelogram on the right is 48 square centimeters, and A and B are the midpoint of the upper and lower sides. Can you find the area of the small parallelogram (shaded part) in the picture?

19, and d and e on the right are the midpoint of BC and AD respectively. If the area of △ABC is 1 square decimeter, then

△ What is the area of △AEC? (Please write down the reasons briefly)

20. Find the area of the shaded part. (Unit: meter)

2 1. As shown in the figure, it is known that quadrilateral ABCD is a square with a side length of 5 cm, and the area of triangular ECF is 5 cm larger than that of triangular ADF. Find the length of line segment CE.

22. Add a condition in the figure below to calculate the area of the shadow part.

23. The stamping factory uses the rectangular iron sheet as shown below to make two round bottle caps. What is the material utilization rate?

24. As shown in the figure, it is known that the area of a small square is 15 cm2. What is the area of a circle?

25. There is an equilateral triangle with a side length of 3 cm. Now it will scroll as shown below. What is the total length of the route from the starting point to the end point B?

26. Please estimate the area of the following irregular plane figures by drawing, measuring and calculating.

27. The picture below shows an aquarium with an aluminum alloy frame. Each side of the aquarium is square, and it is planned to use glass as the side. Please calculate the total area of glass and the total length of aluminum alloy frame. The side length of a square is 25 cm.

Simple calculation

12×6.6+2.5×35 78- 13-23 4.6+25+35+5.4 4 15×(57-3 14÷34)

2.8+49+7.2+59 38+2.25+58+34 25+57+35 6 1 1-47+5 1 1

37+59-37+49+47 0.75+58+ 14+0.375 45+45+45+45+45

45-(45+5 12) 5- 14 17-3 17 48.3- 16-56 56×4.25+ 14÷6

0.625×0.5+58+ 12×62.5% 38×5 13÷38 2.5×(9 10+9 10+9 10+9 10)

22×34+25×75%-7×0.75 0.25×63.5- 14× 12 7 15×2.5- 12×7 15

89+3. 125+ 19+78 45+(47- 1.8) ( 1 1 1+999) ÷[56×(37-38)]

49.5×35-(50- 12)×0.6 7 1 1× 14 19+5 19÷47+7 1 1 45×(79+4 15-0.6)

897×38-37.5%+ 104×0.375 14×(38-5.375) 3.5× 14+ 1.25×7 10+3.8÷45

1.7 1×99 2.3755+2996 3.8439+ 100 1

4.446+295 5.888+999 6. 1 125-996

7.299× 10 1 8.563×999 9.2 100÷20

10.6÷0.25 1 1.72× 156-56×72 12.25×32× 125

13.709×99+709 14.0.25×48 15.2.5×370.4×2 13

16.2 12×6.6+2.5×635 17.75.3×99+75.3

18.4.6×3.7+54×0.37 19.0. 125×34+ 18×8.25+ 12.5%

20. 1 178―6 13― 123 2 1. 153 14―4.25―534

22. 19.82―6.57―3.43 23.4.6+325+635+5.4

24.438+2.25+558+734 25.9.63÷2.5÷4

26.8.37-3.25-( 1.37+ 1.75)

Column calculation

The quotient of 1, 14 is divided by 13 to get the reciprocal of 23. What's the difference? 2. What is the quotient of the sum of12 and 13 divided by their difference?

3. 125 decrease 12% times 3 1 1. What is the product? What is the result of dividing the sum of 25 of 4.8 by 4 times of 5.3?

5. A number is more than three times that of 45 and 35. How did you find this number? 6, a number 14 plus 2.5 equals its 13, and find a number.