1. Fill in the blanks. (16)

1.4567 billion, writing (), rounded to several hundred million is () billion.

2. The bottom area and height of cylinder and cone are the same, and the volume difference is 60 cubic decimeters. The volume of a cylinder is () cubic decimeter.

3. The length of a board is 1.8m and the width is 0.45m The simplest aspect ratio is () and the ratio is ().

4. If the number A is equal to 2×2×3×5 and the number B is equal to 2×3×5, then the greatest common factor of these two numbers is () and the smallest common multiple is ().

5. There are four yellow balls and three red balls in a box. The possibility of picking any ball is (); If you want to make the possibility of hitting the red ball reach 50%, you should put 1 () more balls in the box.

6. Three digits are both multiples of 5 and 2. The highest digit of this number is the minimum composite number, and the tenth digit is the minimum multiple of 9. This three-digit number is ().

7.45, 46, 48 and 49, the median is () and the average is ().

8. My brother is three and my sister is three. 10 years later, the difference between brother and sister is () years.

2. True or false. (Mark "√" for the right and "×" for the wrong) (* * 6 points)

1.30 degree angle is 90 degrees with 3 times magnifying glass. ( )

2. The circumference of a circle is directly proportional to its radius, but no invariants can be found. ( )

3. The natural number 0 can be negative or positive. ( )

4.8 balls are put in 3 boxes, and at least 3 balls are put in one box. ( )

5. The object drawn at the ratio of 3: 1 must be longer than the original object. ( )

6. The inner product of proportion is equal to the outer product of proportion. ( )

3. multiple choice questions. (Choose the serial number of the correct answer) (12 points)

1. Dad bought four gifts on a business trip, ranging from 12 yuan to 24 yuan. The total amount of money spent ().

A. Between 60 and 90 yuan.

C. Not to 60 yuan. D. Above 90 yuan

2. The following statement is wrong ().

A. natural numbers are either odd or even.

B The sum of the internal angles of any triangle is 180 degrees.

C. the broken-line statistical chart can only show the change of quantity.

D Xiaohong's birthday is1February 29th, 996.

3. The following statement is true ().

A. If sum is reciprocal, then sum is proportional.

B 3: 00 p.m.12: 00 p.m., which means13: 00 12: 00 in the 24-hour clock method.

C In rectangle, square, equilateral triangle, isosceles trapezoid and circle, only isosceles trapezoid has only one axis of symmetry.

D. the surface area of a cylinder can be calculated, and a cone has no surface area.

The radius of the big circle is 8 cm and the diameter of the small circle is 8 cm. The area ratio of big circle to small circle is ().

a . 1: 1 b . 2: 1c . 4: 1d . 3:2

5. Compared with a cuboid with equal side length and cubic volume, ().

A. it can't be the same volume as B. C. big cube D. big cuboid

6. The number of copies and the amount required for a class to subscribe to a math newspaper.

A. in direct proportion, in inverse proportion, out of proportion, uncertain

4. Calculation problems. (26 points)

1. Write directly (8 points)

13 13÷ 13= 0.4×0.03= 1.5-0.09=

8+2÷ 100= 0.23=

2.37+0.3=

2. Solve the equation. (6 points)

3+60% = 4.32 0.6(y-0.4)= 6

3. Use your favorite method to calculate. (12)

3.6- 1.79+6.4-3.2 1 0.75×99 +75%×2

4.8+(4-2.4× )

5. I can draw. (10)

1. As shown in the figure, please draw the front and top of the figure.

2. As shown in the figure, each table is a square with a side length of 1cm.

(1) Please write the number pair of triangle vertex A. ( )

(2) Translate the triangle to the right by 5 cm, draw the translated triangle, and then write the number pairs of point B after translation. ( )

(3) Rotate the translated triangle 90 degrees clockwise around point A, draw the rotated triangle, and then write the number pair of point C. ()

Intransitive verbs solve problems. (90 points)

1. The speed of cars can reach 120km, which is faster than that of trucks. What is the speed of the big truck?

2. The site needs to transport a batch of sand and gravel. If the gravel was delivered three days ago, then 30% of the gravel was delivered three days later. It is known that the difference between the sand and gravel delivered in the first three days and the last three days is 340 tons. How many tons of gravel are there?

3. If the fast troops want to go to a certain place to perform a task, it will take 6 hours to arrive if they advance at a speed of 30 kilometers per hour; It takes four hours to arrive now. How many kilometers per hour at least?

4. Cylindrical steel with a bottom radius of 6 decimeters and a height of 8 decimeters. Forge this cylindrical steel into a cone. If the radius of the bottom of the cone is 3 decimeters, what is its height?

5. both warehouses a and b have goods. After warehouse A shipped 80 tons of goods and warehouse B shipped 20 tons of goods, the remaining goods in the two warehouses were the same. It is understood that the goods originally stored in the small warehouse came from big warehouse. How many tons of goods were originally stored in big warehouse?

6. The master led several apprentices to make parts. If the master takes part in the work, he can make 200 parts every day; If the master doesn't take part in the work, he can make 120 parts every day. I worked continuously for five days to make 840 parts. How many days did the master take part in these five days?

Seven. Additional questions (add 10)

The total amount of A and B goods sold in the mall is 4500 yuan, the unit price ratio of A and B goods is 9: 5, and the sales quantity ratio is 5: 6. What is the sales volume of these two commodities?