1, a number consists of 500 million, 39 million and 74 thousand. This number is written as (), and the mantissa after omitting ten thousand is about ().
Millions, written in hundreds of millions is ().
2. The smallest three digits divisible by multiples of 2 and 3 is ().
The prime factor of decomposition is ().
3. Cut the 5-meter-long rope into 6 sections on average, and each section accounts for () of the whole length.
Each segment is 10 meter long.
4. 1.08 tons = () tons () kg 3 days and 8 hours = () days.
8 cubic meters 16 cubic decimeter = () cubic meters
5. Given that A=2×2×3 and B=2×3×5, the greatest common divisor of A and B is () and the least common multiple is ().
6. Cylinders and cones are equal in height. If the volume of a cone is 18 cubic centimeter, then the volume of a cylinder is () cubic centimeter.
7. The scale of the map is 1:3000000. The measured distance between A and B is 4.5cm, and the actual distance is () km.
8. It takes 3 hours for Party A to drive the same distance, 4 hours for Party B, and the speed ratio between Party A and Party B is ().
9, in a certain period of time, the time spent on manufacturing a part is proportional to the number of such parts ().
10、0.75 =( )÷20 = 20:( ) =( )%
True or false: (tick right, x wrong) (10)1. There are 98 workers in a workshop, all of whom leave work in one day, and the attendance rate is 98% ().
2. Two composite numbers cannot be prime numbers. ( )
3. The quotient of a number divided by the true fraction must be greater than this number. ( )
4. If 3X=5Y, then x: y = 5: 3. ( )
5. Two triangles with the same area can definitely make a plane quadrilateral. ( )
Iii. Multiple choice questions: (fill in the serial number of the correct answer in brackets) (10)
1, 500g brine contains 50g salt, and the ratio of salt to water in brine is ().
⑴ 1:9 ⑵ 1: 10 ⑶ 1: 1 1
2,3: 2 and () can form a ratio.
⑴2:3 ⑵ 1.5 : 1 ⑶ 1: 1.5
3. The following () cannot be converted into a finite decimal.
⑴ ⑵ ⑶ ⑷
4. Make a cylindrical ventilation pipe with iron sheet, and how much iron sheet is needed for the ventilation pipe ().
(1) volume (2) volume (3) side area (4) surface area.
5. Given 3x+3= 12, 2x+ 1= ()
⑴ 7 ⑵ 14 ⑶ 9 ⑷ 8
Four, calculation questions: (24 points)
1. Numbers written directly: (4 points)
30- 19.02 = ÷2÷ =
1-0.49+0.06= ( + )×4=
2. Simple operation: (6 points)
25× 12.5×3.2 2.75×29- 1.75×29
4. Find the unknown X: (6 points)
X- 0.8X -6= 16 :X = :2
5. Title: (8 points)
(1) A number plus 50% of it equals 7.5. Find this number.
(2) Subtract 0.7 from 4.8 and divide it by the quotient of 0. 14, and then divide the difference by 1.5. How much did you get?
Verb (abbreviation of verb) application topic: (36 points)
1, Guangming shoe factory produced 26,800 pairs of shoes in June, an increase of 2,500 pairs over the original plan, by what percentage?
2. A pile of coal is cone-shaped, with bottom circumference12.56m and height1.2m.. If each cubic meter of coal weighs about 1.4 tons, how many tons does this pile of coal weigh? (Keep the whole ton as a figure)
3. A car travels from A to B with a speed of 28km/h and arrives in 4.5h.. If it takes 4 hours to get there, how many kilometers per hour will it take? (Solve with proportional knowledge)
4. It takes 65,438+00 days for car A and 65,438+05 days for car B to transport 800 tons of grain. How many days does it take for two cars to transport together?
5. Red Star Machinery Factory has to process 900 parts, which was originally planned to be completed in 30 hours. After improving the process, more 10 pieces are processed per hour than originally planned, so how many hours can the task be completed?
6. During the summer vacation, the whole class made 49 small productions, and what girls did accounted for what boys did. How many pieces do boys and girls make? (Equation solving)