The first volume of grade six shows the phased achievements of 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 serial 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 highway maintenance team builds a highway and repairs the whole section every day 1 10. After three days of repair, it is now 960 meters. This article

How long is 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) A carpenter should cut a log into the largest square and measure the square after cutting.

The diagonal of this board is 2 meters long. Can you calculate the area of the board cut by Xiao Zhang?

Really? (5 points)

(4) There are 28 more girls than boys in the math contest, all boys are excellent, 34 girls are excellent, and boys,

Girls ***42 people get 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?