(Duration: 90 minutes; Full score: 100)

Fill in the blanks. (6, 14 is 0.5 points, 16 is marked as 1 0.5 points, and the rest are1points, ***23 points).

1, hundreds of millions of digits of a number are all 9, tens of digits are 8, tens of digits are 4, and the rest digits are all 0. This number is written as (), rewritten as (), and the mantissa after omitting hundreds of millions of digits is ().

2. Saw a piece of wood with a length of 10 meter into 4 sections on average, each section is full length ().

3. Divider plus the product of divisor and quotient, the sum is 200, and the dividend is ().

The surface area of a cube is 36 square decimeters. Saw it into two cuboids, and the sum of the surface areas of the two cuboids is () square decimeter more than the original cube.

5. The numbers A and B are reciprocal, and the product of A and B is ().

6.3 hours and 20 minutes = () hours 10 tons 10 kilograms = () tons.

7. The ratio of number A to number B is 0.5, so the ratio of number B to number A is ().

8. If 1a ×23 = 1b ×34, then a: b = (): ().

9. Weld a 52 cm long iron wire into a rectangular frame with a length of 6 cm and a width of 4 cm. This cuboid has a surface area of () and a volume of ().

10, the volume difference between a cone and a cylinder is 30 cubic decimeters, so the volume of the cone is () and the volume of the cylinder is ().

1 1. Saw a rectangular piece of wood with a length of 1.5 meters into four sections, and the surface area increased by 96 square centimeters. The original volume of this wood is () cubic decimeter.

12, the kindergarten teacher bought 32 oranges, 64 apples and 128 pears, which were evenly distributed to the children in the small class, just after eating them all. There are at most () children in this class.

13. Rewrite 0800 as a number with "one" as the unit ().

14, the figure below shows the statistics of Chinese, mathematics and natural achievements in the mid-term examination in Mars. It is known that the average score of the three subjects is 92, and Mars scored (). Complete the histogram below.

15, write two prime numbers as required.

(1) Both numbers are prime numbers ()

(2) Two numbers are composite numbers ()

(3) Numbers are prime numbers and numbers are composite numbers ()

16, the volume of ice formed by water increases 1 1 1, and the volume of ice melted into water decreases ().

True or false: (Mark "√" for the right and "×" for the wrong) (4 points)

1, all 99 students in grade six passed the physical education test, with a passing rate of 99% ().

2. The circumference of a rectangle is fixed, and its length and width are out of proportion. ( )

3. If the volume of a cone is 13 of a cylinder. Then their base and height are equal. ( )

When the radius of a circle is reduced by 5 times, their area is also reduced by 5 times. ( )

Three. Multiple choice questions (put the serial number of the correct answer in brackets): (6 points)

1, the perimeters of two circles are equal, and their areas ()

① Unequal ② Equal ③ Not comparable.

2, any triangle, at least ()

① An acute angle ② An obtuse angle ③ A right angle ④ Two acute angles.

3. The minute hand walks three times on the clock face, and the angle of clockwise rotation is ().

① 1800 ②900 ③200 ④300 ⑤600

4, the cube volume is certain, and the ratio of the bottom area to the height is ().

① positive; ② negative; 3 no.

5. Put 1 g drug into100g water, and the ratio of water to drug is ().

① 1 :99 ② 1 : 100 ③ 1 : 10 1 ④ 100 : 10 1

6. Cut a 6 cm long cube into 2 cm long cubes, and you can get () cubes. ① 12 ②9 ③27 ④24.

Fourth, the calculation problem

1, oral calculation: (6 points)

14÷35= 400÷25÷8= 6.45-( 1.7+3.45)=

8÷0. 125= 7.2÷8÷4= 4.5+0. 1-4.5+0. 1=

1.9×4×0.5= 390×0.02= (0. 18+0.9)÷9=

7÷ 1.4= 12 - 15 = 34 ×8+8×0.25=

2. Calculate the following questions (simplify them if possible): (12 points)

①0.25×37+ 14 +62÷4 ②(34 +56 - 1 1 12 )÷ 12

③ 1.2 1×42-(4.46+750 ) ④3.5÷[ 1.4×(0. 1-0.05)]

3. Solving equation or proportion: (8 points)

①0.75 : 1.25=χ :2 ②0.4×3-4χ=0.08

③23 : 14 =χ : 15 ④χ-0.8χ-6= 16

4. Train test calculation: (9 points)

① What is the quotient of 6 divided by 1.5 plus 3 multiplied by the product?

What is the quotient of the sum of ② 134 and 0.5 divided by twice the difference between them?

③ As shown in the figure: triangle ABC is a right triangle, AB is the diameter of a circle, and AB = 20cm. S 1 and S2 are the area of the shadow area, and S 1 is 3 square centimeters larger than S2. How many centimeters is the length of alternating current?

Verb (abbreviation of verb) operation problem (1 problem 4, 2, 3, 2, * * * 8)

1, fill in the blanks as required.

(1) Measure the degree of ∠ 1 in the figure on the right, ∠ 1= () degrees (take an integer).

(2) Draw a triangle to specify the height of the bottom.

(3) Measure the data needed to calculate the triangle area and mark it on the map. (in centimeters)

(4) The area of this triangle is.

2. A rectangular flower bed should be built at the school gate, as shown on the right, with a ratio of 1: 150.

(1) Fill in the blank after mapping: the length is () cm; The width is () cm.

(2) The actual area of this flower bed is () square meters.

3, a measuring cylinder, 300 ml of water, put in three steel balls with the same radius, the water level rises to the scale of 360 ml, and the volume of each steel ball is () cubic centimeters.

Six, application problems (4 points for each small question, ***24 points)

1. Li Lin deposited in 840 yuan, and 60% of his deposit is exactly equal to 25% of Huang Dong's deposit. How much is Huang Dong's deposit more than Li Lin's?

2. A road roller, front wheel diameter 1.2m, wheel width 1. 1m, rolls 16 times per minute when working. How many square meters 1 min does the front wheel of this road roller run over?

In a fruit shop, the weight ratio of apples to oranges is 4: 5. The weight of pear is 23 of that of apple, which is 265,438+00 kilograms less than that of orange. How many kilograms of oranges does the fruit shop send?

4. Two typists of Party A and Party B can print a manuscript within 10 hour, but after they work together for 6 hours, the typist of Party B has something to leave and stop working, and the typist of Party A can complete the remaining tasks in 12 hour. How many hours does it take for Party A's typist to print this manuscript by himself?

5. A cuboid oil tank with a base length of 20 cm and a height of 40 cm is filled with oil with a depth of 30 cm. If the oil in this tank is poured into a cylindrical oil barrel with a bottom diameter of 20 cm and a height of 50 cm, how deep is the oil in the barrel? (digit reservation 1 decimal place)

6. The two ships set out from both sides of the great river, met 280 meters away from the south bank, and then moved on. They returned immediately after they reached the other side. When they returned, they met 200 meters from the north shore. How wide is this river?