In 2008, the sixth grade mathematics entrance exam simulated test paper (1)
School name score
fill (up) a vacancy
1、( )÷25 =( )×38 =37 ÷( )=3
2. 2.05 kg = () kg () g = () g.
3. 15 of A is equal to 25% of B, so B is ()% of A, and A is ()% more than B.
4. After retirement, Miss Li's monthly salary is 1780 yuan. According to the regulations, 5% personal income adjustment tax shall be paid for the part exceeding 800 yuan. Teacher Li's actual salary is () yuan.
5. The length of a wire is equal to its own 13 plus 13 meters. This wire is () meters long.
6. The bottom area and height of cylinder and cone are equal. Given that the volume of a cone is 7.8 cubic meters, the volume of a cylinder is ().
7. Only the quantity is required, and it is best to draw a statistical chart ().
Xiaoming bought a new bottle of toothpaste with a net content of 45 cubic centimeters. The diameter of the circular outlet of toothpaste is 6 mm He brushes his teeth once in the morning and once in the evening, and the toothpaste squeezed out each time is about 20 mm long. This bottle of toothpaste is estimated to last () days.
9. A school numbers each student, male 1, and female 2 ends with: 033 123 1 as "No.23 student in Class 1, Grade 3, enrolled in 2003, male". Then, the students indicated by 052 1 162 are students () in class () of grade () who entered the school in () and students are ().
10, the following is a patient's temperature record.
The nurse takes the patient's temperature every () hours.
② The highest temperature of the patient is () degrees Celsius, and the lowest temperature is () degrees Celsius.
③ At 6 pm on June 2, the body temperature was ().
(4) The fastest temperature drop is at () time; () Time is relatively stable.
Second, choose. (7 points)
1, add two zeros after the decimal point of 3.6, and the size of the decimal point remains unchanged. ( )
2. The prime factor of 2 10 is 2 10= 1×2×3×5×7. ( )
3. The line segment with both ends on the circle is called the diameter of the circle. ( )
The results of 4,252 and 25×2 are the same. ( )
5. Master Liu made 100 parts, and the qualified rate was 95%. If two more qualified parts are manufactured, the qualified rate will reach 97%. ( )
6. As shown in the figure, cover one end of the batten with two pieces of cardboard, and infer from the exposed part that the longer batten is A .. ()
14
A
13
B
Third, compare your eyesight, can you write the serial number of the correct answer to each question in ()? (8 points, 2 points for questions 5 and 6)
Comparison of two formulas 1, 45 ×3 and 3×45 ()
A, the result is the same, but the meaning is different. B, the result is the same, and the meaning is the same. C, the result is different from the meaning.
2. Cut a piece of wood into equal wood segments, cut it five times with a * * *, and each segment is the () of this wood.
a、 14 B、 15 C、 16
3. When using peracetic acid for disinfection, disinfection water should be prepared according to the ratio of liquid medicine to water 1: 200. Now he puts 0.3 kg of peracetic acid solution into 50 kg of water. In order to make the disinfection water meet the requirements, the following ()
A. Add 0.2kg of liquid medicine B, pour out 0.05kg of liquid medicine C, and add 10kg of water.
4. It takes 12 days for Team A and 20 days for Team B to build a 600-meter canal, and the work efficiency ratio between Party A and Party B is () a, 12:20 B, 3: 5 C and 5: 3.
5. In the figure below, two identical triangles can be spliced into a graph ().
A, B, C, D,
6. In the picture below, the volume of each small iron ball is () cubic centimeters (the three small iron balls in the picture are the same size).
8 cubic centimeters 12 cubic centimeters
2 cubic centimeters b, 4 cubic centimeters c, 6 cubic centimeters
Fourth, you can do it right, come on! (38 points)
1, write the number directly (5 points)
1-49 = 1 13 +34 = 25 - 14 = 0.25× 12 ÷0. 125= 9 14 -47 =
9.99+99= 0. 1×0. 1= 12 × 13 ÷ 12 × 13 = 16× 1 1 16 = 37 ×27 =
Can you think of a good solution? (12)
1-( 16 + 17 )×2 33.6÷8+33.6÷87 1.25×6 15 +3.8÷45
24÷( 13 +34 - 16 ) 17 1 15 ÷ 16 4.2×0.36+42×6.4%
3. Find the unknown X. (6 points)
48÷ 13-0.4X = 4 0.5X+2X = 1 15 0.3:X = 4 1 1
4-column calculation. (4 points)
(1) 25% of a number is equal to the sum of 14 and 16. Find this number.
(2)A's 14 is equal to 30% of B, A is 48, and what is B?
5. Complete the following questions as required. (6 points)
(1) Transform 2 13: 1.5 into the simplest integer ratio (2) Decompose 7 14 into prime factors.
(3) Find the least common multiple of12,30,36.
6. Given that the area of a right triangle is 5 square centimeters, find the area of a circle.
5. The figure on the right is the statistical chart of the number of days required for Party A, Party B and Party C to complete a project independently. (6 points)
(1) How many days can Party A and Party B cooperate in this project?
(2) Party A will do it for 6 days first, and Party C will do the rest of the project. How many more days will it take?
6. Use your math knowledge to solve math problems. (8 points for 5 questions, 5 points for each other, ***28 points)
1, build a canal, 37% of the total length has been completed, and now it is 3 kilometers away from the midpoint. How long is this water?
Li Qiang read a story book. On the first day, he read 25 pages. The next day, he read 14 pages of this book, and 62 pages remained unread. So which page should Li Qiang begin to read in Grade Three?
3. Look at the table calculation.
The distance between A and B is 648 kilometers, and A and B walk from both places at the same time. Party A travels 80 kilometers per hour, and the speed of Party A is 45 times that of Party B. How many hours did they meet?
5. A family of three adults and four children traveled somewhere. The charging standard of a travel agency is: buy four full tickets, and the rest are half price concessions; B The charging standard of travel agency is: family tour is a group ticket, and the original price is 75% off. The original price of these two travel agencies is 100 yuan per person.
(1) Which travel agency does this company choose to spend less?
(2) If you join their family tour group, which travel agency do you suggest?
In 2008, the sixth grade of primary school was promoted to the middle school mathematics simulation exam (II)
School name score
First, oral calculation.
15÷0.25= 1.5×25 =
59 × 1.8= 2.5×0.4=
24×38 = 2.4+ 1.6=
5 12 ÷56 = 57 ×2 125 =
14 ÷25%= 32×2.5=
Second, the calculation (can be simplified)
4.67-(2.98+0.67)
73.8× 16-73.8×6
(45 + 14 )÷73 +7 10
Three, column comprehensive formula or equation calculation.
1, a number is 1.2, which is more than 30% of 40. Find this number.
2. What is18 minus 13?
Fill in the blanks.
1, a number is 2 1, b number is 30, and a number is less than b number ()%.
2. There are 29 students in grade five, more than girls 16%, and girls have ().
3,365,550,500 writing ().
4. A triangular vegetable field, with a side length ratio of 3: 4: 5 and a circumference of 84 meters, of which the shortest side length is () meters.
5. The ratio of the circumference to the diameter of a circle is ()
6, 3.6 hours = () when () points.
7. It takes 4 days for Party A to complete the same work alone, and 5 days for Party B. The efficiency of Party A is ()% of that of Party B.
8, sampling inspection of a commodity, there are 38 kinds of qualified, 2 kinds of unqualified, the qualified rate of this commodity is ()
9.78:1.75 The simplest integer ratio is (), and the ratio is ().
10, the hour hand of a wall clock is 5 cm long, and its tip has gone () cm a day and a night.
1 1. The base of the triangle is 4cm long and 2cm high. The ratio of the area of this triangle to the area of a parallelogram with the same base height is ().
12, 23 of a equals 34 of b, and the simplest integer ratio of a to b is ().
Fifth, the judge.
1, because 3 ÷ 1.5 = 2, 3 can be divisible by 1.5. ( )
2. Bar chart can not only represent quantity, but also represent the change of quantity. ( )
The number of copies of China Youth Daily is in direct proportion to the amount of money spent. ( )
4. The sum of subtraction and difference is equal to 12 of the sum of minuend, subtraction and difference. ( )
5. If A divided by B equals 5 divided by 3, then A is 35 ... ()
6. The product of a number multiplied by a fraction is less than the multiplicand. ( )
7. The diameter is the longest line segment in a circle. ( )
8, 4 and 0.25 are reciprocal. ( )
9.A and B are natural numbers, because A ÷ 34 = B× 45, so A >;; B. ()
10, the circumference of any circle is always π times its diameter. ( )
1 1, zero after the decimal point is removed, and the size of the decimal point remains unchanged. ( )
12, two numbers are prime numbers, and the least common multiple of these two numbers is their product. ( )
Six, application questions
1, a typist typed a manuscript. On the first day, I typed 25% of the total, on the second day, I typed 40% of the total, and on the second day, I typed 6 more pages than on the first day. How many pages are there in this manuscript?
2. There are 540 boys in the school, 60 fewer than 56 girls. How many girls are there in the school?
3. For a pile of coal, the ratio of tonnage transported on the first day to total tonnage is 1: 3. 4.5 tons were shipped the next day, and just half of the total tonnage was shipped in two days. How many tons is this pile of coal?
4. Make a rectangular water tank (without cover) with iron sheet, 3 meters long, 0.8 meters wide and 0.5 meters high. How many square meters of iron does it take? (The number is reserved for the whole square meter, and an approximate value is obtained in one way. )
5. If the ticket for each park is 8 yuan, is it enough for a school to organize 97 students to go to the park?
6. It takes 20 hours to produce a batch of parts, and the working efficiency of B is 80% of that of A. If two people work together, how many hours will it take to produce this batch of parts 9 10?
7. There are 150 books in kindergartens in Le Tong, 40% of which are allocated to large classes, and the rest are allocated to small classes and middle classes according to the ratio of 4: 5. How many books are there in the small class and the middle class?
8. Two workshops 150 people. If 50 people are transferred from the first workshop, the number of people in the first workshop is 23 in the second workshop. How many people are there in workshop 2?