1.2030kg = () tons = () tons () kilograms.
2.567000 If the number written in () is rewritten as "10,000", it means () 10,000.
4.3÷5( )= 15%=( )∶40
Yes ()
Project ().
7. The sum of the numbers A and B is 136. Moving the decimal point of the number A to the left is equal to B.
* 8. The ratio of the base to the height of an isosceles triangle is 8: 3. Cut along the height of the base to form a rectangle. The area of this rectangle is 192 square centimeters, and the circumference of the rectangle is () centimeters.
9. The two digits with the greatest common divisor of 9 and the smallest common multiple of 360 are () and () respectively.
10. A two-digit number divided by 7 has the same quotient and remainder. The minimum value of this two-digit number is (), and the maximum value is ().
Second, choose the correct answer and fill in ().
1.A number is 20% more than B number, and B number is less than A number ()
( 1)20%
(3)30%
2. The height of the right triangle is _ _ _ _ _ _ _ ()
( 1) 1
(2)2
(3)3
3. For a cylinder and a cone, the ratio of the perimeter of the bottom surface is 2: 3, and the ratio of their volumes is 5: 6. The simplest integer of the ratio of the height of the cone to the height of the cylinder is ().
( 1)8∶5
(2) 12∶5
(3)5∶ 12
(4)5∶8
Xiao Wang, Xiao Li and Xiao Zhang each made 120 identical machine parts at the same time. After Xiao Wang finished, Xiao Li earned 100 and Xiao Zhang earned 60. According to this calculation, when Xiao Li finishes, Xiao Zhang is short of _ _ _ _ _. ( )
( 1)48
(2)40
(3)20
Third, judge the following questions, correctly draw "√" in (), and wrongly draw "×".
1. The unit price is fixed, and the quantity is directly proportional to the total price. ( )
2. All integers have reciprocal. ( )
( )
( )
5. On the map with the scale of 1∶200000, the distance between A and B is measured to be b cm, and the actual distance between A and B is 2b km. ( )
The price of 6.25 yuan was reduced by 20% at first, then increased by 20%, and now the price is 96% of the original price. ( )
Fourth, solve the equation.
5. Calculate the following questions as simply as possible.
1.36.8-44.08÷5.8
Six, column calculation.
Seven, answer the following basic application questions.
1. A washing and dyeing factory planned to use 400 tons of water in the first half of the year, but actually used 388 tons of water, which percentage was saved?
2. Master Liu produced a batch of parts and produced 128 parts in four days. At this rate, how many days will it take to produce 224 parts? (Answer in two ways)
3.62 classes are more than 6 1 class 12.5%, and 62 classes have 45 students. 6 1 How many students are there in Class 62?
4. It takes 65,438+00 days for Group A, Group B and Group C to complete a project together.
God, it's just finished. Group A and Group B have finished this project? How many projects has C completed?
Eight, comprehensive use of knowledge to solve the following practical problems.
1. As shown in the figure, the area of the parallelogram is 28 square meters. Find the area of the shadow.
2. Cut a rectangular cardboard with a length of 50 cm and a width of 40 cm into squares with a side length of 1 cm from four corners to make a carton. What is the volume of this carton? What is the surface area?
3. The following is the sales statistics chart of Shi Yu Store from September 1999 to February 19.
Answer the following questions according to this chart.
(1) What is this statistical chart?
(2) What is the sales volume of this store1February?
(3) What percentage has11month increased compared with1month?
(4) What is the average sales volume in these four months?
* 4. Two cars, A and B, leave relatively at the same time. Four hours later, car A traveled 80% of the whole journey, and car B exceeded the midpoint 13 km. As we all know, car A travels 3 kilometers more than car B every hour. How many kilometers is it between a and b cities?
Reference answer
Reference answer
Three. 1.√ 2.× 3.× 4.√ 5.√ 6.√
Seven,
1.(400-388)÷400=0.03=3%
2. Answer in proportion. Solution: Suppose it takes X days.
Answer in a normalized way. 224÷( 128÷4)=7 (days)
3.45-45 ÷ (1+12.5%) = 5 (person)
Eight,
1.28÷ 7 = 4 3.14× 4÷ 4 =12.56 (square meter)
2. (50-2) × (40-2 )×1=1824 (cubic centimeter) = 1.824 liter.
50× 40-/kloc-0 /×/kloc-0 /× 4 =1996 (square centimeter)
3.
(1) broken line statistics table
(2) 200,000 yuan
(3)( 18- 15)÷ 15=20%
(4) (7.5+15+18+20) ÷ 4 =15.125 (ten thousand yuan)
Interviewee: 535232739- Magic Apprentice Level 1 6-2 1 2 1:04.
First, fill in the blanks. (9 points)
1, 6045809090 is pronounced as (six billion four hundred and fifty thousand Wu Bai eight hundred and ninety), and the approximate number rounded to ten thousand places is (60458 1) ten thousand.
The decimal units of 2 and 5 are (units). If the decimal unit such as (1) is removed, it will become the smallest composite number.
Of the four figures of 3.0.6, 66% and 0.666, the largest is (0.666) and the smallest is (0.6).
4. Of the nine numbers1to 9, two adjacent numbers are prime numbers (5) and (7), and two adjacent numbers are composite numbers (4) and (6).
5.A number = 2× 3× 5, B number = 2× 5× 7, the greatest common divisor of A number and B number is (5), and the least common multiple is (2 10).
6. Prepare a brine with the weight ratio of salt to water of 1:2, and the salt is the weight of brine (1/3).
7. Put two squares with a side length of 5 cm into a rectangle with a circumference of (30); The area is (50).
8. The surface area of a cube with a side length of 6 cm is (2 16). The volume is (2 16).
9. In A ÷ B = 5 ... 3, A and B are expanded three times at the same time, the quotient is (5), and the remainder is (3).
Second, the judgment, the correct "tick", the wrong "x". (6 points)
1, it is easier to see the change of quantity and energy in broken-line statistical chart. (right)
2. The former term of the ratio is multiplied by 2, and the latter term of the ratio is divided by 2, and the ratio remains unchanged. (error)
3.Decimal is a number less than 1. (error)
4. Two even numbers are definitely not prime numbers. (right)
5. The equation is an equation, but the equation is not necessarily an equation. (right)
6. The quotient of 1 .3 divided by 0.3 is 4 and the remainder is1. (error)
Third, choose the serial number of the correct answer in (). (12)
1, the wheel rolls once, and the distance traveled is to find the wheel (②).
① Diameter ② Perimeter ③ Area
2. When calculating the volume and volume of rectangular wooden cases, (3) is the same.
① Calculation formula ② Significance ③ Measurement method
3. The prime factor of decomposing 60 is 60 = (②).
① 1×2×2×3×5 ②2×2×3×5 ③3×4×5
4. If number A and number B are not equal to 0, then number A is1/3 >; 0/3 of 65438+B, then (①).
① A number > B number ② B number > A number ③ A number = B number
5. The length of a steel pipe is15m, and 1/3 of the total length is cut off. According to the formula 15× (1- 1/3), the problem is (②).
(1) How many meters are cut off? ② How many meters are left?
(3) How many meters more than the rest? (4) How many meters are left over from the cut?
6. For a batch of corn seeds, the ratio of germinated grains to ungerminated grains is 4: 1, and the germination rate of these seeds is (②).
①20% ②75% ③25% ④80%
Fourth, the calculation problem. (3 1)
1, a number written directly. (6 points)
25×24=600 4.2÷0.2=2 1 12-2= 10
1.25×8= 10 1÷0.6=5/3 4÷2=2
2. Use a simple method to calculate. (6 points) 1
①3.5%×9.9=3.465 ②4.62+9.9= 14.52 ③4×0.6+0.6÷4=2.25
3. Off-mold calculation. (12)
①2700×(506-499)÷900 ②33.02-( 148.4-90.85)÷2.5
=2700×7÷900 =33.02-57.55÷2.5
= 18900÷900 =33.02-23.02
=2 1 = 10
③( 1÷ 1- 1)÷5. 1 ④ 18. 1+(3-0.299÷0.23)× 1
=( 1- 1)÷5. 1 = 18. 1+ 1.7x 1
=0÷5. 1 = 18. 1+ 1.7
=0 = 19.8
4. Solve the equation. (4 points)
① 5x+ 15x=400
Solution: 20X=400
X=20
5. Column calculation. (6 points)
1, 0.4 less than 20% of a certain number is 7.2. Find a number. (Equation solving)
20%x-0.4=7.2
What is the sum of the difference between 2.0.9 and 0.2 plus 1 divided by l.25?
0.9-0.2+ 1.25÷ 1
6. The circumference of the circle below is 25. 12 cm. Find the area of the graph. (5 points)
25. 12÷3. 14÷2 4×4×3. 14
=8÷2 = 16×3. 14
= 4cm = 50.24cm2.
Seven, application questions. (35 points)
1. The construction team dug a canal. It was originally planned to dig 100m every day, and it was completed in 24 days, but it was actually completed 4 days ahead of schedule. How many meters does it actually dig every day?
100×24÷(24-4)
=2400÷20
= 120 (m)
2. A car traveled from A to B three hours ago 156 km. At this speed, it takes 8 hours to get from A to B. How many kilometers is there between A and B? (Use proportional solution)
156/3 :x/8
Solution: 3 x= 156×8
X=4 16
3. There are two ribbons, the first one is 6.2 meters long, and the second one is 0.2 meters shorter than the second one. How many meters are the two ribbons?
6.2+(6.2×2-0.2)
=6.2+ 12.2
= 18.4 (m)
4. A school uniform 54 yuan, in which the price of trousers is 4/5 of that of coat. What are the prices of coat and trousers?
X+4/5 X=54
9/5 X=54
X=30
30×4/5=24
5. To build a road, it takes four days for the first construction team and six days for the second construction team. If the two teams repair together, how many days can the road be completed?
1÷( 1/4+ 1/6)
= 1÷5/ 12
=2.4 (days)
6. On the map with the scale of1:4,000,000, the distance between A and B is 20 cm, and two trains start from A and B at the same time. The speed of A train is 55 kilometers per hour and that of B train is 45 kilometers per hour. They will meet in a few hours.
20/x: 1/4000000 8000000 cm =800 km
1x = 20×400000800(55+45)
X=80000000 =8 (hours)
7. A conical rice pile, with a bottom radius of 1 m and a height of 1.5 m, weighs about 600 kg per cubic meter of rice. How many kilograms does this study pile weigh?
1× 1×3. 14× 1.5× 1/3×600
=3. 14× 1.5× 1/3×600
=4.7 1× 1/3×600
= 1.57×600
=942 (kg)