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The second volume of mathematics in grade six (PEP)
Fill in the blanks. (34 points)

1, a number consists of three tens, five tens and four 0.005438+0. This number is written as () and pronounced as (). The decimal with two decimal places is (), and the one that is accurate to one place is ().

2. The simplest true fraction whose denominator is 12 is (), and their sum is ().

3. The sum of two prime numbers is 15, and their product is ().

4、( )÷40=40:( )= =( )%=0.625

5. If the score is true or false, then a= ().

6. Cut a 3-meter-long rope into 5 segments on average, each segment accounting for () of the total length and each segment is () meters long.

7、540dm? =( )m? =( )cm? 4 tons 70 kg = () tons

8. Comparative size: 8. 10 8.9 66.7%

9. Draw a new circle in a square with a side length of 4cm. The area of this circle is (), accounting for ()% of the square area.

10, the students used 40 seeds for germination test, only 3 seeds did not germinate, and the germination rate was ()%.

1 1, a bag of rice, 20% eaten, with 16 kg left. This bag of rice was originally () kg.

12. From home to school, 8 minutes for elder sister and 0/0 minutes for elder brother. The time ratio of the two brothers is (), the speed ratio is (), and the elder sister is ()% faster than the elder brother.

13, more than 6 kg is () kg; More than 6 kg is () kg.

14, the poles with the same height, the closer they are to street lamps, the more shadows they have ().

15. The perimeter of the rectangular playground is 160m, and the length-width ratio is 3:2. Does this playground cover an area of () square meters? .

There are () days in the first half of next year.

17, a piece of rectangular paper with a length of 2 1 cm and a width of 14 cm can be cut into at most () circles with a radius of 3.5 cm.

18, the number of A is equal to 75% of the number of B (the number of A and B is not zero), then the ratio of A to B is ().

19. Li Qiang deposited 8,000 yuan in the bank for two years, with an annual interest rate of 2.5%, and the interest at maturity is RMB ().

Second, the judgment question. (5 points)

1, the radius, perimeter and area of the circle are enlarged by 5 times, and 10 times. ( )

2.A is 25% more than B, and B is 25% less than A. ()

3. Equations are all equations, but equations are not necessarily equations. ( )

4. For a garment, the price shall be increased by 10% first, and then the price shall be reduced by 10%. The current price is the same as the original price. ( )

5. The reciprocal of true score is greater than 1, and the reciprocal of false score is less than 1. ( )

Third, multiple choice questions. (5 points)

1, circle the following figure with the same rope, with an area of ().

A, circle b, square c, equilateral triangle

2. Water turns into ice and its volume increases; Then the ice becomes water, and its volume is reduced by about ().

A, B, C,

3. To be meaningful, a cannot be equal to ().

a、0 B、3 C、6

4, can form a proportion with 5: 12 is ().

a、 12:5 B、C、0.5: 1.2

5. An equilateral triangle is also a () triangle.

A, acute angle b, right angle c, obtuse angle

Fourth, the calculation problem. (22 points)

1, a number written directly. (4 points)

0.6-0.56= 0.75×0.6= 0.042÷0.6= 40×37.5%=

- = ×2.4= 2.6×99+2.6= + - + =

2. Simple calculation. (6 points)

1.25×2.5×3.2 ( - )÷

3. Solve the equation. (6 points)

x+3x+6=22 55-45%x=37

4. Column calculation. (6 points)

What is the product of (1)6 divided by 1.5, plus 3 times 3?

(2) A number is 8 less than its 80%. What's this number? (Equation solving)

Five, drawing questions (3 points)

Draw the shapes seen from the front, left and above respectively.

Sixth, the application problem. (3 1)

1, only column types are not counted (4 points)

(1) Student summer camp organizes marching training. It was originally planned to walk 1 1.25 km in 3 hours, but the original distance was actually completed in 2.5 hours. How many kilometers per hour did you actually walk more than planned?

(2) Harvest Farm Tools Factory produces a batch of sickles. It was originally planned to make 360 sickles every day, which was completed in 18 days, and 72 sickles were actually made. According to this calculation, how many days can the production task be completed?

2. Draw a line segment diagram for analysis and juxtaposition, without calculation. (2 points)

There are 300 peach trees and fewer pear trees in the orchard. How many pear trees are there?

3, column and answer (25 points)

(1) The actual cost of a project is 7.4 million yuan, which is 600,000 yuan less than planned. What percentage is saved?

(2) The railway between Station A and bilibili is 660 kilometers long. A passenger train goes from Station A to bilibili, and a freight train goes from bilibili to Station A. Four hours later, the two trains meet. The passenger car is 90 kilometers per hour, and the truck is how many kilometers per hour? (Equation solving)

(3) The workers built a road, the first week was full-length, the second week was 40% of the full length, leaving 2400 meters. What is the total length of this road?

(4) Xiaoqing reads story books. On the first day, she read 55 pages. She finished reading the whole book the next day. The number of pages on the second day is only 20% more than that on the first day. How many pages are there in this book?

(5) Cylindrical uncovered iron drum with a height of 24 cm and a bottom diameter of 20 cm. How many square centimeters of tin does it take to make this barrel? (Keep the whole hundred square centimeters)