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The final quality examination paper of sixth grade mathematics in primary school.
I. Writing (2 points)

Requirements: ① The roll surface is neat; (2) neat handwriting; ③ The lines are neat.

Two. Fill in the blanks (question 1-6, question 1, question 2, question ***20).

1. According to scientists' calculations, the distance between Pluto and the sun is about 5,980.5 million kilometers. This number is written as () kilometers, and the mantissa after omitting hundreds of millions is about () kilometers.

2, 15: () = () 20 = 35 = ()% = () times

3, 7.5L=( )dm3 =( )cm3 1.2 = () when () points.

4. There are four children, A, B, C and D. If A is lighter than C, but heavier than D, and D is heavier than B, then the heaviest of the four is ().

5. A car travels 80 kilometers per hour and () kilometers in t hours.

6. The ratio of the circumference to the diameter of a circle is called ().

7.3 13, -3.3, 33% and 3.3, the smallest number is (), and the two equal numbers are () and ().

8. Look at the picture and fill in the appropriate letters in ().

If the side area of the cylinder is expressed by S after the side of the cylinder is unfolded, the letter formula is s = ().

9. If 8x is a true score and 9x is a false score, then x = ()

10, if a+1= b (both a and b are natural numbers and not equal to 0), then the common factor of a and b is (), and the least common multiple is ().

The ratio of 1 1, 0. 15: 1.2 to the simplest integer is (), and the ratio is ().

12, the school chooses two programs from three chorus programs and 1 from two dance programs, and one * * * has () selection schemes.

13. Touch any ball in the following three bags.

① ② ③

(1) The probability that the first () bag touches the black ball is 25%.

(2) Add () black balls to the first bag, and the possibility of touching black balls is 80%.

(3) Add () black balls to the second bag, and the possibility of hitting the white ball is 13.

III. Judgment (The "√" in brackets is correct, and the "×" in brackets is wrong. ) (5 points)

1. If I find that all four sides of a cuboid are squares, then the cuboid must be a cube.

( )

2. The reciprocal of the false score is less than 1. ( )

3. Divide a 3-meter-long iron wire into 8 segments on average, each segment is18m long. ( )

4.m =n×78, then m and n are in direct proportion. ( )

5. When the distance between the two feet of the compass is 2cm, the radius of the circle it draws is 1cm. ( )

Four, choose (the serial number of the correct answer in brackets) (6 points)

1, cut a rope into two sections, the first section accounts for 12 of the total length, the second section is 45 meters long, and the two sections of rope are compared ().

① The first paragraph ② The second paragraph ③ The length of the two paragraphs is the same ④ It cannot be determined.

2. The two odd numbers adjacent to the odd number k are ().

①K- 1 and k+12K+33k-21and K+33k-2 and k+24k-3 and k+3.

3. Xiaohong made a cylinder and several cones (as shown in the figure, in cm). Fill cylinder ① with 13 water, and pour the water in cylinder ① into NO. () cylinder, just filled up.

① ② ③ ④

Choose a classmate as the monitor in a class of 40 people. The election results are shown in the following table, and the following figure () shows the election results.

① ② ③ ④

5. The water consumption of meifeng Chemical Plant decreased 10% in the second half of last year compared with the first half. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ The formula of _ _ _ _ _ _ _ _ _ is: 8000×( 1- 10%), and the mathematical information that should be supplemented in the stem is ().

① 8,000 tons of water was used in the first half of the year; ② 8000 tons of water in the second half of the year; ③ The annual water consumption is 8,000 tons.

6, rewritten as a digital scale, the correct answer is ().

① 1:40 ② 1:4000000 ③ 1: 12000000

Verb (abbreviation of verb) calculation (29 points)

1, write directly. (5 points)

3.02-0.2 = 40×2% = 1- 6 17 = 998 1÷49 ≈

67 ÷3 = 7 : 1 1 = 198 + 256 = 2× 12 ÷2× 12 =

23 + 2 = 0.23× 1000 =

2. Off-mold calculation. (If it can be simplified, it should be calculated by a simple method) (12 points)

3.3×34 +0.75×5.7+75% ( 23 + 12 )×67 - 5 13

3- 58 ÷2528 - 3 10 7 15 - 7 1 1 + 8 15 - 4 1 1

3. Solve equations or proportions. (6 points)

1.5 x-0.8× 15 = 18 4:35 = 23:x

4. Column calculation. (4 points)

What's the difference between (1) 12 times the product of 23 and 2 1 1?

(2) 13 of a number is exactly equal to 30% of b number. Given that the best number is 60, find a number. (Equation solving)

5. When we are learning fractional multiplication, we color the rectangle and display 23x12, for example:

As it can be seen, the coloring on the right is 12 ×34.

Six, operation and exploration (8 points)

1, press 3: 1 to draw an enlarged triangle. (2 points)

2. The following is the statistical chart of Chinese and Korean gold medals in the 9th ~14th Asian Games. (4 points)

(1) China won the most gold medals in the () Asian Games. The difference in the number of gold medals between the two countries in the Asian Games is the smallest. (2 points)

(2) 14 Asian Games China won ()% more gold medals than South Korea. ( 1)

(3) Please briefly analyze the performance of the two countries in previous Asian Games according to the statistical chart. ( 1)

3. Calculate the shadow area in the figure below. (2 points)

Seven, solve the problem (6 points per question, ***30 points)

1. Cheetah is the fastest animal in the world, and its speed can reach 1 10km, which is more than 30km twice that of elephant. How many kilometers per hour can an elephant reach at the earliest?

2. In the days of fighting against the snowstorm in 2008, Uncle Wang, a traffic policeman, fought on the front line 74 hours in the first four days and worked on the front line 15 hours every day in the last three days. How many hours does Uncle Wang work in the front line every day on average this week?

3. Xiao Wang collected 120 stamps, which happened to be 38 stamps of Xiao Zhang. The ratio of the number of stamps collected by Xiao Lin and Xiao Zhang is 4:5. How many stamps did Xiao Lin collect?

4. Since March, 2008, the state has adjusted the individual income tax. According to the regulations, individual income tax will be paid at the rate of 5% for the part whose monthly income exceeds 2,000 yuan.

(1) Zhao Ming's father earns 2450 yuan this month. How much personal income tax should he pay this month?

(2) The personal income tax paid by Zhao Ming's mother this month is 24.5 yuan. What is the salary of Zhao Ming's mother this month? Compared with Zhao Ming's mother, whose salary is higher?

5. A cubic container, measured from the inside, has a length of 10cm and a water depth of 5.5 cm. If a circular iron sheet with a bottom radius of 2cm and a height of 5 cm is immersed in water, how many centimeters will the water surface rise?