1. Fill in the blank: (22%)
1, the number "24619" is written as (), and the mantissa after ten thousand is omitted as ().
2, 4 tons 7 kg = () tons 3. 15 hours = () hours () minutes.
The decimal unit of 3 is (), and the decimal unit like () is the smallest prime number.
4. Prepare a syrup according to the sugar water ratio of 1: 19, and the sugar content of this syrup is ()%; There are 50 grams of sugar, and this syrup can be prepared ().
5. Choose three numbers from 0, 4, 5 and 7 to form the largest three-digit number that can be divisible by 2, 3 and 5 at the same time. This three-digit number is (), and its prime factor is ().
6. For a project, Party A works for 6 hours and Party B works for 9 hours. Party A and Party B worked together for 2 hours and completed () of this project. The rest will be completed by Party A alone, and it will take () hours to complete.
7. A string number is 1, 1, 2, 2, 3, 4, 5, 5, ... starting from the first number on the left, the 35th number is (), and the sum of the first 36 numbers is ().
8.A = 2×3×5×7，B = 2×3× 1 1。 The greatest common divisor of A and B is (), and the least common multiple is ().
9、2+3.9÷[□-( 1. 1-0.6)] = 3.3 □ =( )
10, the number of boys in a school is 80% more than that of girls, and the number of boys accounts for ()% of the total number of students.
1 1, Xiaoli sings a song for 3 minutes. At this speed, three people singing this song together will get () points.
12, the molecule of the simplest fraction is enlarged by 6 times, and the denominator is reduced by 3 times, which can be converted into 12. The simplest score is ().
13, Hu Liang made one part every day, Yu Jiang made six more than Hu Liang every day, and two people did it in four days ().
14, the minute hand on the clock rotates () times as fast as the hour hand. ( )
15, a fraction, the denominator plus 2; If you add 3 to the denominator, you will get. So the original score was ().
16, Xiao Li and * * * typed the same manuscript paper, and their typing speed ratio was 5: 3. When she finished the task, Xiaoli typed 1400 more words than Xiao Qiang. This manuscript has () words.
17, fill in the numbers according to the law.
(1) 2,5, 10, 17, (), 37(2),,, ... 1 1 Yes ().
18, the upper bottom of the right-angled trapezoid is 6 decimeters. Add 2 decimeters to the upper bottom and it will become a square. The area of the trapezoid is ().
19, Xiao Qiang cut out the largest circle on a rectangular cardboard with a length of10cm and a width of 8cm. The circumference of this circle is () and the area is (). 1, a cube, the sum of the lengths of three sides intersecting at a vertex is 12 cm, then the sum of the sides of the cube is () cm, its surface area is (), and its volume is ().
20. Cubes with a side length of 10 cm are piled in the corner (as shown in the figure).
() cube, the exposed area is () square.
Centimeter.
2 1, the following three small cubes (as shown in the figure) all write 1, 2, 3, 4, 5, 6 according to the same law. Then, the sum of the numbers on the left of the three cubes is equal to ().
22, a set of data 5, 3, 2, 4, 4, 2, 3, 6, 3, 8, 3, 9 The median of this set of data is (), and the mode is ().
23. There are 8 red balls, 3 white balls and 1 black ball in the box. You can touch a ball at will, with the greatest possibility of touching the () ball and the greatest possibility of touching the black ball.
24. There are these cards in the box. □ 2 □ 2 □ 0 □ 3 □ 3 □ 8 □ 8 Draw a card.
(1) is most likely to encounter (), that is, ().
(2) It is () that is most likely to touch ().
(3) The possibility of finding () is as great as ().
Of the five numbers 25, 5, 6, 7, 8 and 9, the possibility that any two numbers add up and the sum is even is ().
26. A precision part is 5 mm long. Draw it on the part drawing with the ratio of 12: 1, and the length should be () cm.
27. The circumference of a square piece of paper is 12 decimeter. If you cut it into the largest circle, the circumference of this circle is () decimeter.
28. In an isosceles triangle, the degree of one inner angle is four times that of the other, and the vertex angle is () or ().
29.3.806806806 The 99th place in the decimal part ... is ().
30. A semicircle with a radius of r and a circumference of ().
Second, multiple-choice questions (put the serial number before the correct answer in brackets): (5%)
(1) The area of a triangle with the same height as a parallelogram with an area of12cm2 is () cm2.
A.4 B.6 C. 12 D.24
(2) When the number A is divided by the number B, the quotient is 0.2, and the simplest integer ratio of the number A to the number B is ().
a . 0.2: 1 b . 5: 1 c . 2: 10d . 1:5
(3) The ratio of A to B is 5: 4, and B is less than A ().
25% B.20% C. 125%
(4) After1hour, the angle of the minute hand on the clock face is different from that of the hour hand ().
330 B.300 C. 150 D. 120
(5) A commodity shall be raised by 20% first and then lowered by 20%. Compared with the original price, ().
A. improved B. reduced C. unchanged D. unable to determine 1, a triangle has at least () acute angles.
a、 1 B、2 C、3、
6, a rectangle, the length increases, the width increases, and its area increases (). A, B, C,
7. Compared with their product, the sum of the four true fractions is larger. ( )
A, product big B, and big C, not sure.
8. Xiaohong goes from A to B, with a distance of 1200m. She walked 40 meters per minute when she went there and 60 meters per minute when she came back. The average speed of Xiaohong's round trip is () meters per minute.
A, B, 48, 45
9, in order to reflect the change of Hankou water level in the Yangtze River, should draw () statistical chart. A, horizontal bar b, dotted line c, fan-shaped
10, a number and its reciprocal plus the product of a get 1, and the reciprocal of a is (). A, B, C,
1 1, the movement of the hour hand and the minute hand on the clock face is (), the movement of the elevator is (), and the movement of the earth is ().
A, rotate b, translate
12, Xiaoming's home is in Xiao Qiang's East and West 35, so Xiao Qiang's home is in Xiaoming's home ().
A, 35 degrees northeast, 55 degrees southeast and 55 degrees northwest.
13, cut the cube with a side length of cm into the largest cone, and the volume of the cone accounts for () a, b, c,
14, at 6 o'clock on the clock face, the included angle between the hour hand and the minute hand is (). A, right angle b, acute angle c, obtuse angle d, right angle
15, the volume of a cylinder is larger than that of a cone with the same height as its bottom surface (). A, 1 second b, third c, second d
16. If A is a prime number, B is a composite number. The following must be a prime number (). a、a+b B、ab C、ab \b D、a-b
17. The lengths of two adjacent sides of a parallelogram are 6 cm and 4 cm respectively, and the height of one side is 5 cm. The area of this parallelogram is () square centimeters. a、24 B、40 C、20 D、 120
1, choose the appropriate method and calculate the following problems.
7777×9+ 1 1 1 1×37 1880× 1+ 199.9 - 1999× 187.9
4.4× +3.6÷ 1 +75%×2 248-25 -22.05
2. Find the area of the shaded part. (6 points)
As shown in the figure, the trapezoidal area is 45 square meters, the height is 6 meters, and the triangular AED area is 5 square meters. Find the shadow area.
Iii. Operational problems: (10%)
1. How to cut a rectangular carton (as shown in the figure below) with a length of 10 cm and a width of 6 cm into a 2 cm cube (seams ignored)? In the figure, the part to be cut is indicated by the shaded part. At least two different schemes are given. (3%)
2. Draw a straight line in each rectangle as needed.
(1), the graph 1 is divided into two parts, so that the two parts are combined into a parallelogram.
(2) Divide Figure 2 into two parts, so that the two parts can be combined into a parallelogram or triangle.
(3) Divide Figure 3 into two parts and combine these two parts into parallelogram, triangle and trapezoid.
(1) There is also a square lawn in the school. Another example is planning. Please measure the relevant data according to the scale on the map and calculate the actual area of the lawn.
1:500
(2) Build a circular pool with a radius of 5 meters in the center of the lawn and draw it in the picture.
Four. True or false (put "√" in brackets for the correct one and "×" for the wrong one): (5%)
(1) All prime numbers are odd except 2. …………………………………( )
(2) x and Y are two related quantities. If 3x=5y, x and y are inversely proportional. ……………( )
(3) If the length and width of a rectangle increase by 3 meters, its area will increase by 9 square meters. ………( )
(4) Made in Li Shifu 100 pieces, with a qualified rate of 95%. If two more qualified parts are manufactured, the qualified rate will reach 97%. ()
(5) There are six simplest true fractions whose denominator is 18. ………………………………( )
7. The area of a triangle is equal to half the area of a parallelogram. ( )
8. The positional relationship between two straight lines in the same plane is either intersecting or parallel. ( )
9. Line segments with side lengths of 1cm, 1.5cm and 2.5cm can form a triangle. ( )
Verb (abbreviation of verb) application problem: (34%)
(1) Xiaoming said that he is three years younger than his grandfather this year. Xiao Ming is known to be 15 years old this year. How old is grandpa? (column equation solution)
(2) Xiaoling has practiced skipping rope five times, with an average of 56 jumps each time. She is going to jump again, so that the average number of jumps is 60. How many jumps will Xiaoling jump at last?
(3) During the period of1950 ~1960, only 40 high-rise buildings were built in Shanghai, while during the period of 1990-2000, the number of high-rise buildings was as high as 55 times, among which super-high-rise buildings accounted for 5% and the height exceeded 100 meters. How many super-high-rise buildings were built in Shanghai from 1990 to 2000?
(4) Aunt Wang's cabinet air conditioner is 0.4m long, 0.2m wide and 1.7m high. In order to prevent dust, Aunt Wang is going to cover this air conditioner with a rectangular cover made of cloth. Please help her figure out how many square meters of cloth is needed to make this cover. (Seam * * needs 0.2 m2 of cloth).
(5) Party A and Party B walk in opposite directions at the same time, with Party A walking 100 m per minute and Party B walking 120 m per minute. 12.5 minutes later, the distance between them is150m. How many meters is there between A and B? (Analysis of various situations and solutions)
(6) Taxi charging standards in a city are as follows:
Mileage cost
3 km and below 8.00 yuan
More than 3 kilometers, one way, each additional 1 km 1.60 yuan.
More than 3 kilometers, round trip, each additional 1 km 1.20 yuan.
1. Lili takes a taxi from home to grandma's. 17.6 yuan. How many kilometers is it from Lili's home to Grandma's?
Mr. Wang took a document from the school to the personnel bureau 6 kilometers away and returned to the school immediately. How can he get a better ride experience? How much do I have to pay for taking a taxi?
7. A pile of oranges, filled with 3 baskets plus 18 kg, is exactly the weight of this pile of oranges, and the rest is just filled with 8 baskets. How many kilograms is this pile of oranges?
8. Draw an unfolded drawing of the uncovered iron box on the drawing with the scale of (as shown in the figure). Please measure the relevant data on the drawing to find out how many square decimeters of iron sheets are actually used in this iron box. How many cubic decimeters is its actual volume?
9. The road team built a road with a length of 1200m, and it took four days to build this road. According to this calculation, how many days will it take to complete this section of highway?
10, two baskets of oranges A and B weigh 40kg. If you take them out of one basket and put them in the B basket, the two baskets of oranges weigh the same. How many kilograms are there in two baskets of oranges?
1 1. After a truck drives from city A to city B, it will return to city A immediately, and the round trip takes 10 hour.
The time ratio is 2: 3, and it is slower when I come back than when I went 10 km. How many kilometers is it between A and B?
12, No.8 trams go from Station A to Station C, and then return, stopping at Mile Mile, and stopping at Mile Mile Mile when returning. The speed of going there is 48 kilometers per hour.
(1) Find the distance from Station A to Mile Mile.
(2) Find the return speed?
(3) Find out the average speed of the tram.
13, there are two standards for telephone charges of a city communication company:
(1) How many minutes does a soldier talk a month? Are the two standard charges the same?
(2) If it exceeds this time, which is more affordable.
14. The ratio of boys to girls in Class 6 of Huacheng Primary School (1) is 2: 3. Later, after four girls were transferred, the number of girls was male. How many girls are there in Class Six (1)?
15. There is a ring composed of two concentric circles (as shown in the figure). The width of the ring is exactly equal to the radius of the smaller circle. Find the ratio of the area of the great circle to the area of the shaded part.
16. A square meadow with a side length of 10 m, with a tree at the midpoint of each adjacent side, a sheep tied to the tree, and the rope is 5 m long. What is the area of grassland that neither sheep can eat?
17. There are 40 students in a class, and two students were absent from class because of illness in the mid-term exam. At this time, the average score of the class is 89 points, and the students who are absent from the exam are 99 points each. What is the average score of this class?
18. On average, 7.8 yuan sells a marker in the store and earns 30%. Now it is sold at a reduced price in 6.2 yuan. Is it profit or loss?
How much did you make or lose?
19, there is a batch of grain in the warehouse, and the grain transported is less 1 ton. At this point, the ratio of surplus grain to original grain is
How many tons of grain are there in the warehouse at 3: 05?
Class 20.6 (1) has 12 students playing table tennis. If every two students have a game, how many games will there be?
At the end of 2 1 period, Xiaoying scored 90 points in Chinese, mathematics, English and physical education. After adding her knowledge of nature, her average score in five subjects dropped by 2 points. What is Xiaoying's knowledge of nature score?
22. Convenience stores give discounts to customers every weekend. A box of biscuits with a price of 18 yuan can earn 40% of the original price at a 15% discount. What's the purchase price of this biscuit?