Mid-term examination paper of the first volume of sixth grade mathematics

(80 minutes)

1. Please fill it in. (22 points)

1, 2 14 hours = () hours () minutes.

3040 cubic centimeters = () cubic decimeter

2.()72 = 15÷( )=( )÷30= 75% discount = ()%

3. The decimal unit of A5 (A is a natural number) is (). When A= (), the reciprocal of this number is 15.

4. The circumference of a circle is 6.28 decimeters, so the circumference of a half circle is () decimeters.

5. Sort the numbers 3. 14, 3 1.4%, 3950, 34% and π from the largest to the smallest.

( )

6, 15 of 40 meters is exactly ()% of 50 meters. 48 meters minus 14 is () meters.

7. The number A is 4 15, which is 20% less than the number B, and the number B is ().

8. Cut the 5-meter-long rope into 8 sections on average, with each section being () meters long and each section being () long.

9. There are 50 students in Class 6 (3) today, and two students are on leave. The attendance rate of Class Six (3) today is ()%.

10, a rope used 20% for the first time and the remaining 20% for the second time, with a difference of 2 meters. This rope used to be () meters long.

1 1. If they win a game, they get two points; if they draw a game, they get one point; if they lose a game, they get zero point. As a result, no one won, and everyone's total score was different. At best, it's a draw.

Second, I am a little judge, and I will judge right and wrong. (10)

1, if a and b are reciprocal, then1÷ a = b ............................. ()

2. 10g sugar is dissolved in 10g water, accounting for 10% of sugar water. ………………( )

The quality inspection department found that only 30 out of 40 cases of apple juice were qualified, and only 35 out of 50 cases of litchi juice were qualified. Therefore, the qualified rate of litchi juice is higher than that of apple juice. ............. () 020kg 65438+34 is 90. …………………………( )

5. If the number of A is 20% more than that of B, the number of B is 20% less than that of A.. ..........()

Please select one. (Fill in the number of the correct answer in brackets) (10)

1. Cut a rectangular iron sheet with a length of 12 m and a width of 8 m into a small circle with a radius of 1.5 m (no splicing), and at most {} pieces can be made.

a， 1 1 b，8 c， 10 d， 13。

2. The bottom and height of a triangle row increase by 10%, and the area of the new triangle is larger than that of the original triangle ().

a、20% B、2 1% C、 120% D、 12 1%

3. Someone walked 34 kilometers in 0/8 hour. How many hours does it take to walk 1 km? The formula is ()

a、 18 ÷ 34 B、34 ÷ 18 C、 18 ÷ 34 D、34 ÷ 18

4. As shown in the figure on the right, take the radius of the great circle as the diameter.

Draw a small circle. The circumference of a big circle is the circumference of a small circle.

() times.

a、2 B、4 C、6 D、8

5, a rope, Wang Ming cut 35 meters, Dong Li cut 35 meters, two people cut ().

A, Wang Ming cuts much B, Dong Li cuts much C, and they both cut as much.

D, unable to compare

Fourth, the calculation problem. (39 points)

1, a number written directly. (4 points)

5 12 ×3= 8÷47 = 16 ÷ 16 = 45 ×58 =

0.6÷35 = 4-335 = 0.6-35 = 34 ÷ 12 =

2. Solve the equation. (9 points)

5 12 X = 78 X+ 16 X = 85 307÷X = 228

3. Recursive equation calculation. (18)

7 13 × 34 + 34 × 6 13 37 ÷ 7 1 1 + 47 ÷ 7 1 1

127 ÷( 23 - 14 ) + ÷

× 12 ÷25 36×(79 +56 )÷

4. Column calculation. (8 points)

1, 72 of a number is 2 of the number 145, 14, and 75% of a number plus the product of 75 and 4.

how much is it? You get 156. What is the number? (Equation solving)

Fifth, the operation problem. (7 points)

1, measuring the length of the right line segment is () cm. (in centimeters)

2. Take a little o on line segment AB to make AO=35 AB.

3. Draw a circle with O as the center and OB as the radius. A b

4. Calculate the area of this circle.

Sixth, the application problem. (32 points)

1, only column types are calculated, not calculated. (6 points)

(1) There are 60 boys in grade six, more than girls 15. How many girls are there?

(2) A basket of fruits and baskets * * * weighs 50 kilograms. After selling 50% of the fruit, the basket weighs 27 kilograms. How many kilograms of fruit are there?

(3) There are 120 peach trees in the orchard, which is 20 fewer than pear trees. What proportion?

2. Use mathematical knowledge to solve problems in life. (26 points)

(1) The road maintenance team has built a road, and it is repaired every day 1 10. Three days later, 960 meters were repaired. What is the total length of this road? (4 points)

(2) Railway Station 65438+1October 4th, No.28 train arrived on time and No.4 train was delayed. What is the punctuality rate of the railway station on this day? (5 points)

(3) Woodworker Xiao Zhang wants to cut a round board into the largest square. After cutting, the diagonal of the square plate is 2 decimeters long. Can you calculate the area of the board cut by Xiao Zhang? (5 points)

There are 28 more girls than boys in the math contest. All the boys got the best, 34 girls got the best and 42 boys and girls got the best. How many girls took part in the competition? (6 points)

5] The following is the dialogue. Read it and then answer this question. (6 points)

Before the summer fruit stand, the boss sent 8350 Jin of watermelon in the morning and afternoon.

Male customer: How many watermelons have not been sold?

Shipper: I sold 40% this morning. If you buy it all, I can make it cheaper.

Female customer: Let's buy all the remaining watermelons together!

A: It has sold 40%. How many kilograms of watermelons are still unsold?

B. If female customers buy 23 times more watermelons than male customers, how many kilograms do they buy each?

Mid-term examination paper of the first volume of sixth grade mathematics

First, clever answer (20 points)

1. The minute hand of the wall clock is 5 cm long and its tip is () cm.

2. In the picture on the right, the side length of the square is 8 cm, so the circumference of the circle is

() cm, and the area of the circle is () cm2.

3. The ratio of diameters of two circles is 3: 5, the ratio of perimeters is (), and the ratio of areas is ().

4. 12∶( )= =( )÷ 10=( )%

5. The attendance rate of the sixth grade (1) class was 98% on a certain day, with 50 students in class * * *, and there were () people absent from class that day.

6. Use positive and negative numbers to represent the following quantities.

(1) minus 15 degrees Celsius is ()℃.

(2) Xiao Gang plays chess. If he loses two games and is marked as -2, then he wins five games and is marked as ().

7. An isosceles triangle has a () axis of symmetry, and a semicircle has a () axis of symmetry.

8. Interest = () × ()× ()

9. A 30% discount on a dress is ()% lower than the original price.

10. There are six table tennis players. If every two players want to shake hands, then shake hands once.

1 1. There are 30 boys and 25 girls in Class One, Grade Six. The number of boys is ()% more than that of girls, and the number of girls is ()% less than that of boys.

12, the ratio of the perimeter to the side length of a square is (), and the ratio of the perimeter to the radius of a circle is ().

Please judge whether it is right or wrong (put √ in brackets for the right and × for the wrong). ) (7 points)

1. A circle with a radius of 2 cm has the same circumference and area. ( )

2. Put 10g salt into 10g water, and the weight of salt accounts for 10% of the weight of brine. ( )

3. If A is 20% more than B, B must be 20% less than A ... ()

The circumference of a circle is 3. 14 times the diameter. ( )

5. The pi of the big circle is greater than that of the small circle. ( )

6. A barrel of cooking oil weighs 5 kilograms, and there are 4 kilograms left after use. ( )

7. The rolling distance of wheel A is 3 rounds, and wheel B is 4 rounds. The diameter ratio of wheel A to wheel B is 3: 4 ().

Three, carefully choose (fill in the serial number of the correct answer in brackets) (6 points)

1. Cut out the largest circle in a rectangle with a length of 8 cm and a width of 6 cm. The area of this circle is () square centimeters.

a 18.84 b 28.26 c 25. 12d 50.24

2. A () on the right can become Figure B.

A. rotate 90 degrees clockwise. Rotate 90 degrees counterclockwise.

C. as shown in figure a and figure b, rotate clockwise 180.

3. The tooth ratio of the two meshing gears is 4: 1. If the big gear turns 20 times, the small gear turns () times.

A.5 B.20 C.80

4. Turn 1.2 ton: 300 kg into the simplest integer ratio ().

A. 1 : 250

It takes 4 hours for Xiao Zhang and 6 hours for Xiao Li to produce the same number of parts. The simplest ratio of work efficiency between Xiao Li and Xiao Zhang is ().

A.:B. 2:3 C. 3:2 D:

6.250 yuan, a dress is reduced by 20% first, and then the price is increased by 20% on the basis of the price reduction. The current price is higher than the original price ().

A. reduced B. increased C. unchanged D. unable to calculate

Four, super psychic: (3 1 minute)

1. Write directly: (10)

3. 14×5= 2×80%= 180%- =

300×( 1+20%)= 2÷0. 1= 0. 125×32=

4.3+ 1.07= ×2.8= 2-7 = 63× 10%=

2. Find the ratio of the following ratios (10).

10.5:2 1 9: 1 : 3.5: :

3. Calculation of parting (9 points)

25%×32+ ×68 360× ÷( 1-25%) 240×( 1-20%)-50×20%

4. Solve the equation (12 points)

40%χ=20 60%χ÷9= 12

9%χ-4.5×0.2= 1.8 1.2χ- 10%χ=55

Five, hands-on operation (6 points)

Draw a circle with a circumference of 9.42 cm, mark the center, radius and diameter with letters, and find its area.

Six, practical application (30 points)

1. A rope with a length of 12.56 meters can just circle the trunk of a tree 10. What is the diameter of the trunk cross section of this tree?

2. Uncle Wang deposited 4,000 yuan in the bank for 3 years, with an annual interest rate of 3. 15%. How much is uncle Wang's due principal plus interest?

3. The school distributed 400 seedlings, the teacher planted 10%, and the rest were distributed to grades 5 and 6 according to 4: 5. How many trees were assigned to the fifth and sixth grades respectively?

4. School sports meeting, there are 60 participants in Grade One, 25% less than Grade Two. How many participants are there in Grade Two?

The school has built a new round flower bed with a diameter of 20 meters. Now it is necessary to build a 2-meter-wide path around this circular flower bed. What is the area of this path?

6.a and B are 700 kilometers apart. An express train and a local train leave from two places at the same time and meet in 3.5 hours. As we all know, the speed ratio of the express train to the local train is 3: 2. What's the speed of these two trains?