I. Fill in the blanks:

1, given that A=2×2×5 and B=2×3×5, then the greatest common divisor of A and B is () and the least common multiple is ().

The fractional unit of 2 and 58 is (), and if at least () such fractional units are added together, it is a false score; The decimal unit of 129 is (), and the decimal unit of () is equal to the smallest prime number.

3. Enlarge the molecule of 23 by three times. To keep its size unchanged, add () to the denominator.

4. The number of male employees in a factory accounts for 35% of the number of female employees, and the number of female employees accounts for ()% of the total number of factory employees.

5, 4m2 5 dm2=( )m2. Use five, 12, 4, 15 to form a proportion. ( )。

6. The circumference of a rectangle is 2.4 decimeters, the ratio of length to width is 7: 5, and the area of this rectangle is ().

7. A number is both a multiple of 6 and a divisor of 6. This number is (), and the form of prime number multiplication is ().

8,227,3. 1413.14, of which () < () < ()

9. Cut a circle into an approximate rectangle. It is known that the length of a rectangle is 6.28cm and the area of a circle is ().

10. It takes 10 hour for Party A to do a project alone, and 8 hours for Party B to do it alone. After four hours of cooperation between Party A and Party B, this project is still unfinished.

Second, the judgment (tick "√" for the right and "×" for the wrong)

1, a circle has countless symmetry axes. ( )

The area of a square is proportional to the length of its sides. ( )

3. Infinite decimals are cyclic decimals because they are infinite decimals. ( )

4. After a number increases 1%, it decreases 1%, and the result remains unchanged. ( )

5. It is known that the perimeter ratio of small circle and big circle is 2: 3, so their area ratio is ().

6. Among the true fractions whose denominator is 12, four * * * can be converted into finite decimals. ( )

7, because 0.72=72%, so 0.72 kg =72% kg. ( )

8. The volume of the cone is equal to 13 of the volume of the cylinder. ( )

9. Infinite decimals are cyclic decimals because cyclic decimals are infinite decimals. ( )

A fraction with a denominator of 100 is 100 is a percentage. ( )

Third, multiple-choice questions (choose the serial number of the correct answer and fill in the brackets)

1. If the number of girls in a class decreases, it means that the number of boys decreases. The following () is wrong. A, boys are 20% less than girls; B, girls are boys 125%.

C. There are 20% more girls than boys.

2. From Dayi County to Chengdu, it takes 40 minutes by car 1 hour. The speed ratio between the cart and the car is ().

a、 1:40 B、40: 1 C、3:2 D、2:3

3. The prime factor of decomposition 102 is ()

a、 102=3×2× 17× 1b、3×2× 17= 102 C、 102 = 3×2× 17

4. A number 13 equals B number 14, A number () B number.

A, < b, > c, = D, uncertain.

5, a wire 56 to 56 meters ()

A, long b, short c, equal to d, uncertain

6. First move the decimal point of a decimal to the right by two places, and then reduce it by 100 times. The original number is ().

A, expand 100 times b, reduce 100 times c, expand 2 times d, and keep the same size.

7, the hospital to reflect the patient's temperature changes in a day, it is best to use ().

A, bar chart b, line chart c, fan chart

8. At 6 o'clock, the angle formed by the hour hand and the minute hand is ()

A, acute angle b, right angle c, obtuse angle d, right angle

9. The numerator of the score is greater than the denominator small 8. After restoration, the score is ().

A.b, c, d. Write the number directly

10÷ 1%= 6.3×47 = 0×3.5 = 4.2÷ 15 =

7.4 + 6= 8-34 15 = 16×( 1-75%)=

1 1- 178 -2 . 125 = 3÷ 47 ÷4= 738 -( 138 -59 )=

Verbs (short for verb) solve equations and proportions.

6.5:x=3。 25:4 x2 = 0. 150.6 1.250.25 = x 1.6

Six, off-type calculation (can be simplified to simplify)

(999+ 1 1 1)÷[56×(37 -38 ) 56×99

168. 1÷(4.3×2-0.4) [2-( 1 1.9-8.4× 1 13 )]÷ 1.3

Seven, column calculation

1, a number minus its 25 equals 1.44, what is this number? .

The product of 2.0.6 and 94 is divided by the difference between 2 15 and 1.8. What is the quotient?

Eight, application questions

1, Xiaohong reads the story book. On the first day, she read 45 pages. She finished reading the whole book the next day. The number of pages on the second day is only 20% more than that on the first day. How many pages are there in this book?

2. How many cubic centimeters of wood does it take to cut a 6-centimeter-long cubic block of wood into the largest cone?

3. A garment factory in a county received the task of producing 1200 shirts, and completed 40% in the first three days. According to this calculation, how many days will it take to complete the production task?

4. The distance between Port A and Port B is140km. It took a ship 4.5 hours to sail from Port A to Port B, because it took 1 hour to sail against the current and return. Find the average speed of the ship going back and forth.

5. For a project, it takes 15 days for Party A to do it alone, and 20 days for Party B to do it alone. After 6 days of cooperation between Party A and Party B, Party B shall complete the rest alone. Q: How many days will it take Party B to complete it? (5 points)

6. The area of the rectangular ABCD in the figure below is 16, where e and f are the midpoint of the side. Find the area of delta △AEF.

7. A bus and a truck leave AB at the same time. When the two cars met, the bus walked 70% of the whole journey, and the truck was 400km away from the midpoint. It takes 20 hours for the bus to cover this distance. How many kilometers does this bus travel per hour?

8. On the 490-meter-long circular runway, the runway between A and B is 50 meters long, and both of them start from A and B at the same time and run in opposite directions. After they met, B immediately turned around and ran in the same direction as A, at the same time, A accelerated by 25% and B accelerated by 20%. As a result, when A runs to point A, B just runs to point B. If A and B later speed,

Solution: After the encounter, B's speed increased by 20%, and he ran back to point B, that is, the round-trip distance was the same. B's speed before and after the change is 5: 6, and the time spent is 6: 5.

Suppose A ran 6 units when they met, then it took 5 units to run back to Point A after they met. Let's assume that the original speed per unit time, V A, is derived from the following question:

6V A+5× V A× (1+25%) = 490, so V A = 40.

The distance from point A to the intersection is 40× 6 = 240, ∴ V B = (490-50-240) ÷ 6 =.

After their speed changes, the speed of A is 40× (1+25%) = 50, and the speed of B is (1+20%) = 40. From the intersection, when A catches up with B, A takes one more lap than B,

∴ A * * * ran 490 ÷ (50-40) × 50+240 = 2690 (meters).

1.3000- 10 1×2 1

3.5.07-(3.07- 1.8)

2.6823-998

3.7. 1+0.9×(0.9-0.75)

Challenge yourself 4. A and B set out from A and B at the same time, face to face. When they set out, their speed ratio was 3: 2. After their first meeting, A's speed increased by 20% and B's speed increased by 30%. Then when A arrives at B, B is still 14 km away from A. What is the distance between A and B?

A workshop has to process 550 machine parts for 3.5h, with an average of 52 parts per hour. In order to catch up with the task, the rest should be processed within 4 hours. How many parts should be processed per hour on average?

Song school sends washing powder to the teacher of thinking training class. If you give each male teacher 3 packages and each female teacher 4 packages, there will be 8 more packages. If you give each male teacher four bags and each female teacher five bags, you will lose seven bags. It is known that there are more male teachers than female teachers 1, so how many packets of washing powder does * * * have?