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The final examination paper of the first volume of mathematics in the sixth grade of primary school (Chinese is also acceptable)
1. Fill in the blanks: (20 points)

1. 12÷( ) = 0.75=( ):80 = ( )% = ( )( ) 。

2. The circumference of the cylinder bottom is 3 1.4 decimeter, and the height is 10 decimeter. Its lateral area is (), its surface area is (), its volume is (), and the volume of a cone with equal bottom and equal height is ().

3. 40% of 15 tons is () tons, and15 tons is more than 10 tons ()%.

4. It is known that three times the number of A equals four times the number of B, and the ratio of A to B is (), and the ratio is ().

5. Expand the side of the cylinder to get a rectangle. The length of this rectangle is equal to () of the cylinder, the width is equal to () of the cylinder, and the lateral area of the cylinder is equal to ().

6. Uncle Wang produced 200 parts, three of which were unqualified, and the qualified rate of the parts produced by Uncle Wang was ()%.

7. The radius ratio of the big circle and the small circle is 3: 2, the diameter ratio is () and the area ratio is (). 8. The volume of a cube with a side length of 6 decimeters is equal to the volume of a cylinder with a bottom area of 18 square decimeter, and the height of the cylinder is () decimeter.

9. Draw a circular lawn on the floor plan with the scale of 1: 2000 and the radius of 3 cm. The actual radius of this circular lawn is () meters.

Second, true or false (tick right, cross wrong). (5 points)

1. The volume of a cone is 13 of a cylinder. ( )

The radius of a circle is out of proportion to its area. ( )

The side length of a square is proportional to its area. ( )

4.4: 8 and 3: 9 can form a ratio. ( )

5. The ratio of A number to B number is 5: 3, so B number is 40% less than A number. ( )

Third, multiple-choice questions (please fill in the serial number of the correct answer in brackets). (5 points)

1. To process cylindrical wood into the largest cone, the () of the cylinder must be cut off.

A 12 B 13 C 23

2. The number of production parts is fixed, the time to produce each part and the total time to produce this batch of parts ().

A is proportional, B is inversely proportional, and C is not proportional.

3. Which of the following formulas indicates that X and Y are inversely proportional ()?

A 4 x= y B 4x =y C x+y=4

4. According to 3a=5b, it can be written as ()

A 3: A = 5: B B A: B = 5: 3 C A: B = 3: 55。 If the distance of 3 cm on the map indicates that the actual distance is 1.5 mm, then the scale of this map is ().

( 1) 1 :20 (2) 1 :2 (3)20 : 1

Calculation part (34 points)

1. (10)

0.3× 1.5= 6.8÷ 17= 42÷60%= 38 +0.625= 36 ÷0.6=

7-0.35 = 1-25% = 14 + 15= 12÷7= 0.5÷ 14 =

2. Calculation: (Simplify if it can be simplified) (9 points)

95.6× 18+4.4× 18 12×( 14 + 16 - 13 ) 69×523

3. Solution ratio. (9 points)

X5 = 0 . 40 . 5 23:x = 3: 12 13: 14 = 15:x

4. Column calculation. (6 points)

1. The two internal terms are 2026 and 49 respectively, and the two external terms are x and 10 13 respectively.

2. Divide a number by 148 to get 37. What is 30% of this figure?

Four, simple statistics (10)

1. Complete the following statistics. (3 points)

Statistics of myopia of fifth-grade pupils in Weihua County

time

Number of students, myopia and myopia rate (%)

total

Category V (1) 48 25%

Class 5 (2) 52 13

Category 5 (3) 15 30%

2. Make the histogram of the number of myopia in each class in the above table and put forward reasonable suggestions for preventing myopia. (7 points)

Five, the application problem (26 points)

1. A canal is 2 kilometers long. How many centimeters should I draw on the map with the scale of 1: 30000? (4 points)

2. Built a highway and walked 200 meters in four days. According to this calculation, it took another six days and how many meters were built? (Proportional solution) (5 points)

3. Xiaoming reads a book, reading 12 pages every day, which can be finished in 8 days. If you read four more pages a day, how many days can you finish it? (Proportional solution) (5 points)

4. Cylindrical uncovered tin oil drums with a bottom radius of 2 decimeters and a height of 5 decimeters. How many square decimetres of tin does it take to make this oil drum? If each liter of oil weighs 0.8 kilograms, how many kilograms can this oil drum hold? (6 points)

5. Tapered sand pile with a height of 3m and a bottom diameter of 4m. Spread the sand in a rectangular bunker 5 meters long and 2 meters wide. What is the thickness? (6 points)