Sixth grade mathematics cultural quality test

(Time: 100 minutes, *** 100 minutes)

A, fill in a fill (10) (0.5 points per space)

1.2m 50cm =()m； 5 decimeters 2 = () cm 2; 3 tons 40 kg = () tons; At three o'clock, 15 = ().

The minute hand on the clock face is 3cm long. From 5 o'clock to 6 o'clock, the area swept by the minute hand is () cm2. 3. Three consecutive natural numbers, from small to large, are (), a and (). 4. The sum of 5 times of χ and y is (). (represented by a formula containing letters)

5. 1.295 billion 3 million can be written as (), which is about () billion. 6. The greatest common factor of18 and 24 is ().

7. 1.25 is expressed by the simplest fraction (), and its reciprocal is ().

8. The circumference of the bottom of a cube is 20 cm, the surface area of this cube is () square cm, and the volume is () cubic cm.

9. An isosceles triangle, the ratio of a base angle to a vertex angle is 2: 1, and the vertex angle of this isosceles triangle is () degrees.

10. Xiaoming looks at Xiaohua at 45 east of due south, and Xiaohua looks at Xiaoming at () 45.

1 1. The position of an object can be represented by points on the grid, and then the positions of these points can be described by several pairs, such as

A (3 3,5) indicates that the object is in the third column and the fifth row, then point B (6,3) indicates that the object is in the third column and the fifth row: ().

Second, choose one (fill in the answer serial number in brackets) (20 points) (2 points for each question) 1. The ratio of three internal angles of a triangle is 1︰2︰3, and this triangle is (). A acute triangle b right triangle c obtuse triangle 2. Put 25g of salt into100g of water, and the ratio of salt to brine is (). a 1 \u 4 B 4 \u 1 C 5 \u 5

3. A rectangle with a length of 8 cm and a width of 6 cm will increase its area if its length and width are increased by 2 cm ()

A 4 square centimeter B 12 square centimeter C 16 square centimeter D 32 square centimeter b where x is y ().

There are 20 tricycles and bicycles with 42 wheels in the parking lot. There is () a bike.

A 2 B 12 C 18

There are five red balls, three white balls and two yellow balls in the box. Touch any one of them, and the possibility of touching the red ball is ().

a 1/5 B 1/2 C 3/5d 1/3

7. A rectangle nailed with battens is drawn as a parallelogram, and the area of the parallelogram is (). A is larger than the original, B is smaller than the original, and C is equal to the original.

8. The bottom areas of cylinder and cone are equal, the volume ratio is 3: 1, and the height ratio is (). a 1︰ 1 B 3︰ 1 C 1︰3D 1:9

9. Choose any two numbers from the following options. The possibility that the sum of these two numbers is odd is (). A 2 3 5 B 1 3 5 C 2 4 6

10. A two-digit number, the number on the tenth digit is A, the number on the second digit is B, and this two-digit number is ().

A ab B 10a+b C a+ 10b。 Third, do math. (23 points)

1. Write directly. (5 points) (0.5 point for each blank)

36+94= 24- 18= 1-0.27= 3.5+6.5=

1

4.2-3.7= 4.2÷0.3= 1.25×8= 2.7÷=

nine

1 14

-= ×5= 345

2. Off-mold calculation. (10) (2 points for each question)

①8 10÷(9×3) ②(6.5+3.5)÷0.25

③48×(

53

+) (4)2.9×3.6+7. 1×3.6 64

1 12

⑤[2-(+) ]÷

843

3. Solve the equation. (8 points) (2 points for each question)

①4.2x+2.7x = 13.8② 1.4x-x = 8.4

③0.8x- 14.7 = 1.3④3×7+4x = 25

Fourth, column calculation (12 points) (3 points for each question) (1) The difference between 8.7 and 6.2, multiplied by 5.6, what is the product?

(2) What is the product of 6 divided by 1.5 plus 3 multiplied by 3?

(3)60 minus 4x, the difference is 8, and x is found.

(4) The sum of numbers A and B is 120, and A is 20 more than B, so find the number B. ..

Fifth, draw a picture. (7 points)

1. Draw all the symmetry axes in the figure below. (4 points) (2 points each)

2. Draw a circle with a diameter of 3 cm, and mark the radius R and the center o..(3 points).

Sixth, solve the problem. (28 points) (65438+ 0-3 points for each question, 4 points for 4-5 questions, 6 points for 6 questions and 5 points for 7 questions) 1. A wire is 60 meters long.

There are 360 apple and pear trees in the orchard. The ratio of the number of apple trees to pear trees is 4: 5. How many apple and pear trees are there?

There were 340 students who graduated from Hope Primary School last year, more than last year 15%. How many students graduated this year?

4. The newly purchased science and technology books 102 in the school library are three times less than the newly purchased literature and art books. How many literary books are newly purchased?

three

How many meters are left? four

5. Rectangular vegetable field has a perimeter of 40m and a length-width ratio of 3: 2. How wide is this vegetable field?

6. Two trains, A and B, travel relatively from two places. Train A travels 76 kilometers per hour and train B travels 69 kilometers per hour. A train leaves 1 hour B train leaves. 2. 1 hour later, the two cars meet. How many kilometers is the railway between these two places?

7. Two tourist attractions, Party A and Party B, organize activities from the ninth day of the first month to the fifteenth day of the first month. This is the unification in 2009.

Planned business trip. As shown in the figure below:

Scenic spot

..... b scenic spot

① The number of people visiting A and B reached the maximum at () respectively, and then began to decline. (2) (2) The number of tourists in the scenic spot is rising fast and falling fast. ③ On the day of Kloc-0/3, there were fewer scenic spots in A than in B (

What other information can you get from the statistical chart?