Class: Name: Grade:

First, the calculation problem. (***24 points)

1, a number written directly. (6 points)

72÷8= 12×8= 0.32= 1÷0. 1=

3.2+2.3= 8.6-6= 2.5×4= 0.8÷4=

16 +23 = 1- = 24× = ÷ =

2. How to simply calculate the following questions? (12)

⑴ 372+436+628+64 ⑵ 7.43-(0.43+ 1.5)

⑶(568-477)÷ 13× 15 ⑷ 19.5× 10 1- 19.5

⑸( + ÷ )× ⑹ 12- ÷( ÷2)

3. Solve the equation. (6 points)

⑴ 15+3x = 27⑵x-x =⑶0.6x:2 = 1.8:4

Second, fill in the blanks. (***26 points)

1, 906500000 is rewritten as "100 million" and the number is ().

2. Estimation: The result of 40.86÷6 remains an integer around ().

3. The decimal unit of a fraction is (), and it has () such decimal units.

4, 500ml = () liter 8.06t = () kg

3: 30 = () 2.4km2=( )m2

5、3÷5= 12 :( )=( )%

6. fill in ">", "

0.875○ 1.5○ 15% ○ 1 1 12

7. A store made a profit of 3,000 yuan in April, recorded as+3,000 yuan, and lost 2,000 yuan in May, recorded as ().

8. When x = (), (3x- 18) × 6 = 0.

9. The picture on the right is a fan-shaped statistical chart of the planting area of three kinds of fruit trees in an ecological park in a certain district.

(1) The area of apple trees on the right side is 800m2, and the apple trees of three kinds of fruit trees account for 40%.

The total area is () square meters. Pear tree 15%

Peach trees cover an area of () square meters, and pear trees and peach trees account for 45%.

The area is smaller than that of the apple tree ().

10, 72cm long iron wire forms a right triangle with a ratio of 3: 4: 5. The area of this triangle is

() square centimeters.

1 1. The box contains 10 balls of the same size, including 2 white balls, 5 yellow balls and 3 red balls. Pick any one.

Ball, the possibility of white ball is (), and the possibility of red ball is ().

12. The original price of a book is 35 yuan. If you sell it at a 60% discount, the price will be () yuan.

13, a cuboid, has two opposite faces that are squares with a side length of 10 cm, and the sum of the areas of the other four faces is 600.

Square centimeters. The volume of this cuboid is ().

14, a forest farm planted m trees this year, n trees survived, and the survival rate was (); If m = 4000, the survival rate is 90%.

Then n = ().

15. The side area of the cylinder is 150.72 square meters, and the diameter of the bottom surface is 6 decimeters. The volume of this cylinder is () cubic decimeter.

True or false: in the brackets behind the question, put "√" correctly and "×" wrongly. (***5 points)

1, two triangles with equal areas can definitely make a parallelogram. ( )

2, an angle of 30o, with a magnifying glass of 5 times, this angle becomes 150o. ( )

3. If a = 2b, then A ÷ 8 = b ()

4. The volume of the cone is constant, and its bottom area is inversely proportional to its height. ( )

5. Xiao Huang randomly flipped a coin five times, two of which were heads up and three tails up. If he throws it again, it must be face up. ( )

Fourth, multiple-choice questions: fill in the correct answer (). (***5 points)

1. There was a multiple-choice question in a math exam. Of the four options, only one answer is correct. Xiaolan couldn't, so she chose one at random. The possibility that she chooses the right option is ().

① ② ③

2. If the degree ratio of three internal angles of a triangle is 1: 2: 3, then the triangle is ().

① obtuse triangle ② right triangle ③ acute triangle

3. if a

① ② ③

4. Dissolve100g sugar in 900g water. The simplest integer ratio of sugar to syrup is ().

① 1:9 ② 1: 10 ③ 1: 1 1

5. Admission to the park is 5 yuan per person. Buy more than 30 tickets at one time, and each ticket can be charged less 1 yuan. Excuse me: there are 26 people in a primary school. They are all going to visit. At least it's cost-effective to buy () tickets.

① 25 ②26 ③30

5. Answer the following questions. (*** 15)

1, the following is the result of a math exam of class 6 (1) in Qianjin Primary School. Please arrange the transcripts of this exam in your favorite way (such as writing "positive") and complete the following scoring table. (4 points)

Student number score student number score student number score student number score student number score student number score student number score student number score.

1 94 9 100 17 74 25 94

2 86 10 95 18 90 26 72

3 94 1 1 75 19 94 27 8 1

4 84 12 83 20 60 28 100

5 100 13 85 2 1 86 29 87

6 62 14 89 22 97 30 93

7 99 15 54 23 90

8 78 16 9 1 24 75

Scorecard of Mathematics Examination Results of Class 6 (1) in Qianjin Primary School

2. Measurement, drawing and calculation. (2 points)

① Zhang is 800 meters northeast of the school (intersection). As shown below. The ratio is: 1cm: 200m. The distance from Zhang Qiang's home to the school should be () cm on the map. Please connect Zhang Qiang's home and school with line segments on the map, and use "?" Mark its position.

(2) The school is 600 meters southeast of Huang Xiao's home. On the map, the distance from Huang Xiao's home to the school should be () cm. Please connect Xiao Huang's home and school with line segments on the map, and use "?" Mark the location of Xiao Huang's house.

north

Lihuajia school

0 200 400 m

3. The figure below is a parallel quadrilateral line. Find the area of the shaded part (trapezoid) in the figure. (Unit: cm) (3 points)

4. In the figure below, the diameter of the circle is 6cm, which is 50% of the length of the line segment AB. How many square meters is the area of rectangular ABCD? (3 points)

A b

Washington D.C.

5. It is known that the diameter of the bottom surface of the cylinder is 8 decimeters and the height is 12 decimeters, as shown in the figure. Find the volume of a cylinder. (3 points)

Sixth, solve the problem. (***25 points)

1. Last year, the total output of vegetables in a certain area was 5 million kilograms, and it is planned to plant 6.5 million kilograms of vegetables this year. What percentage is the planned vegetable output this year higher than last year?

2. There are 330 books on science and technology and literature and art in the library, of which most are literature and art books, and the rest are science and technology books. How many science and technology books are there?

3, a batch of goods, a car delivery alone 15 days, b car delivery alone for 20 days. Now, after five days of combined transportation of A and B cars,

The rest will be shipped separately by a car. How many days will it take to complete the shipment?

4. In order to promote water conservation, the water plant stipulates that the water consumption per person per month is within 1 ton, and the unit price is 2.5 yuan per ton; The water consumption per person per month exceeds 1 ton, and the unit price per ton of water is 4.5 yuan. Xiaoming's family of five people used 7 tons of water in April. How much does Xiao Ming's family have to pay for water in April?

5. On the map with the scale of 1: 4000000, the length of the railway between A and B is 36 cm. Two passenger cars and trucks depart from A and B respectively, and arrive at Station A at the same time after 9 hours. It is known that the speed of passenger cars is 82km/h, and what is the speed of freight cars?