1.2.5 hours = (2) hours (30) minutes 5060 square decimeters = (50.6) square meters.
The divisor of 2. 24 is (1, 24; 2, 12; 3,8; 4,6), the prime factor of decomposition 24 is (2,3)
3. The unit of score is 1/8. The maximum true score is (7/8) and the minimum false score is (9/8).
The numerator of the simplest fraction is the smallest prime number, the denominator is the composite number, and the maximum fraction is (2/9). If you add a decimal unit like (7/9), you will get 1.
5. Cut a cuboid whose length, width and height are 5 decimeters, 3 decimeters and 2 decimeters respectively into two small cuboids, and the maximum sum of the surface areas of these two small cuboids is (92) square decimeters.
6. With a 52 cm long wire, you can weld it into a rectangular frame. The frame is 6 cm long, 4 cm wide and 3 cm high.
7.A=2×3×5, B=3×5×5, the greatest common divisor of A and B is (15), and the smallest common multiple is (150).
8. When the side length of a cube is enlarged by 3 times, its surface area is enlarged by 9 times and its volume is enlarged by 27 times.
9. Compared with 5/ 1 1, the decimal unit of (1/9) is larger, and the fractional value of (5/ 1 1) is larger.
10. The greatest common divisor of two numbers is 8 and the least common multiple is 48, one of which is 16 and the other is (24).
Second, multiple-choice questions (the serial number of the correct answer in brackets): 20%
1. In the following formula, the divisible formula is (2).
① 4÷8=0.5 ② 39÷3= 13 ③ 5.2÷2.6=2
2. In 2/3, 3/20 and 7/28, the fraction that can be converted into a finite fraction is (2).
① 3, ② 2, ③ 1
3. The product of two prime numbers must be (3)
① Odd number ② Even number ③ Composite number
4.A=5B(A and B are both non-zero natural numbers) The following statement is incorrect (1).
① The greatest common divisor of A and B is a2a, and the least common multiple of B is A..
③ A is divisible by B, and A contains a divisor of 5.
5. Add 10g salt to 10g water, and the salt accounts for (3) of the brine.
① 1/9 ② 1/ 10 ③ 1/ 1 1
6. given a > b, compare 2/a and 2/b (2)
① 2/a > 2/b22/a < 2/b3 cannot compare dimensions.
7. The greatest common divisor of two numbers is 12, and the common divisor of these two numbers is (3).
① 2 ② 4 ③ 6
8. A cuboid is cut into a small piece (as shown). The following statement is completely correct (2)
① With the decrease of volume, the surface area also decreases.
② The volume decreases and the surface area increases.
(3) The volume decreases and the surface area remains unchanged.
9. Use rectangular paper of equal size, each with a length of 12 cm and a width of 8 cm. At least this rectangular piece of paper (2) is needed to make a square.
① 4, ② 6, ③ 8.
10, a 6-meter-long rope, cut off 1/2 first, and then cut off 1/2 meters, leaving (3).
① 5m ② 5/2m ③ 0m
Third, the calculation question: 28%
1. Find the surface area and volume of a cuboid (unit: decimeter) 4%.
a=8 b=5 c=4
Surface area (8*5+8*4+5*4)*2= 184 (square decimeter)
Volume 8*5*4= 160 (cubic decimeter)
2. Off-model calculation (simplified to simplified) 12%
6/7+2/ 15+ 1/7+ 13/ 15 19/2 1+5/7-3/ 14
=(6/7+ 1/7)+(2/ 15+ 13/ 15) =38/42+30/42-9/42
= 1+ 1 =59/42
=2
2/3+5/9-2/3+5/9
=(2/3-2/3)+(5/9+5/9)
= 10/9
8/9-( 1/4- 1/9)- 3/4
=(8/9+ 1/9)-( 1/4+ 3/4)
=0
3. Use 4% to find the greatest common divisor and the least common multiple of the following groups.
Articles 24 and 36
Maximum common divisor 12
Least common multiple 72
18, 24 and 40 (only the least common multiple)
Least common multiple 120
4. Text problem 6%
What is the sum of 5/9 and 7/ 18 minus 1/2?
5/9+7/ 18- 1/2=4/9
Subtract the difference between 7/ 15 and 7/30 from a number and the result is 2/3. What's this number? (Equation solving)
Let this number be x.
X-(7/ 15-7/30)=2/3
X=9/ 10
Verb (abbreviation of verb) application problem: 30%
1. A piece of land, in which 1/5 kinds of corn, 1/6 kinds of vegetables and the rest kinds of watermelons. What is the proportion of watermelons planted in this land?
1- 1/5- 1/6= 19/30
There are 24 boys and 20 girls in one class. How many times more boys than girls? What is the percentage of boys to girls?
24/20= 1.2 20/24=5/6
Students take part in environmental protection action. The fifth grade cleared 3/5 tons of garbage, less than the sixth grade 1/8 tons. How many tons of garbage were removed in the fifth and sixth grades?
3/5+ 1/8+3/5=53/40 (ton)
4. A rectangular iron plate with a length of 40 cm and a width of 30 cm, the four corners are cut off and the sides are 4 cm long, and then welded into a box without a cover. How many liters is its volume?
(40-8)*(30-8)*4=28 16 (cubic centimeter)
28 16 (cubic centimeter) =2.8 16 liter.
5. A car traveled192km in the first 3 hours and 58km/h in the last 2 hours. What is the average speed of this car?
(192/3+58)/2=6 1 (km)
Respondent: 784 105986- probationary period level 1 2009-7-118: 09.
Report 1. Fill in the blanks. (1 point per space, 24 points for * * *)
1, Xiaoming borrowed money from 20 yuan, and after spending X yuan, he still had () yuan left.
2. The greatest common factor of12 and 18 is (); The least common multiple of 6 and 9 is ().
3. Divide the 3-meter-long rope into 8 sections on average, each section is meters long and each section is full-length.
4. Xiaohong's position in the classroom is (5,4) right. She sits in column () and row (). Xiaoli's position in the classroom is column 5, line 3, which is represented by a number pair (,).
5. The smallest three digits that can be divisible by 2, 3 and 5 at the same time (); The maximum number that can divide 6 and 8 at the same time ().
6. If a÷b=8 is (and both A and B are not natural numbers of 0), their greatest common factor is () and their smallest common multiple is ().
7.(A is a natural number greater than 0), when A is a true fraction, when A is a false fraction, and when A is equal to 3.
8、 = =( )÷9=44÷( )
9. Fill in the appropriate scores in the brackets.
35 cubic decimeter = () cubic meter for 53 seconds = () when 25 hectares = () square kilometers.
10, among all divisors of 20, the largest is (), and among all multiples of 15, the smallest is ().
1 1, there is a cube dice, and the numbers on six faces are 1, 2, 3, 4, 5 and 6 respectively. Throw it once
Dice, the possibility of getting a composite number is, the possibility of getting an even number is.
Second, judge carefully. (5 points)
1, the equation must be an equation, but the equation is not necessarily an equation. ………………………………( )
2. False scores are all less than 1. ……………………………………………………( )
3. Number pairs (4,3) and (3,4) indicate the same position. …………………………( )
The greatest common factor of 4, 14 and 7 is 14. ……………………… ………………( )
5. Divide a wire into four sections, each section is meters. ……………………………………( )
Third, choose carefully. (5 points)
1. A rectangular piece of paper with a length of 24 cm and a width of 18 cm should be divided into small squares with the same size, and there is no redundancy. The smallest can be divided into ().
A. 12
2 is a true fraction, and the value of x has () possibilities.
A.3 B. 4 C. 5 D. 6
3. There are 28 boys and 25 girls in Class 5 (3), and boys account for () of the class.
A.B. C. D。
4. Divide 4g into 5 parts, each part is ().
A. Total weight
5. The greatest common factor of two numbers is 4 and the least common multiple is 24. These two numbers can't be ().
A.4 and 24 B. 8 and 12 C. 8 and 24
Fourth, careful calculation (40%)
1, writing number 4%
6.3+7= 2 1.5+9.5= 2.5×0.4= 42.8-4.28=
1-0.0 1= 3.5÷0.5= 8.2÷0.0 1= 8.2×0.0 1=
2. Solve the equation: 12%
X-7.4 = 8 2X = 3.6 X÷ 1.8 = 3.6 X+6.4 = 14.4
3. Find the greatest common factor and the least common multiple of the following groups. (9%)
10 and 9 14 and 42 26 and 39
4. Recursive equation calculation: 9%
(2.44- 1.8)÷0.4 2.9× 1.4+2×0. 16 30.8÷[ 14-(9.85+ 1.07)]
5. Make an equation according to the meaning of the question and then answer it. (6 points)
① The sum of 7 x's is 10.5.
Verb (abbreviation of verb) application questions: (1-3 questions, 27%, 5 points for each question, and 4 points for the rest).
1. There were 138 male athletes and 7 female athletes in the 28th Olympic Games in China, twice as many as male athletes. How many male and female athletes are there?
In Beijing's bid to host the 2008 Olympic Games, * * has 65,438+005 valid tickets, and Beijing has 56 tickets. What percentage of valid votes did Beijing get?
Party A, Party B and Party C go to the library to borrow books. Party A comes every six days, Party B every eight days and Party C every nine days. If they meet in the library on April 25th, when will they all go to the library next time?
There is a piece of cloth 8 meters long, just enough to make 12 pairs of pants of the same size. How many meters of fabric is used for each pair of trousers? How much of this cloth is used for each pair of trousers?
5. Cut a rectangular piece of paper with a length of 20 cm and a width of 16 m into squares with the same size and as large an area as possible. There is no paper. How many pieces can I cut at most?
6. Two cars leave from Party A and Party B at the same time. A travels 48 kilometers per hour and B travels 54 kilometers per hour. When they met, the two cars were 36 kilometers away from the midpoint. How many kilometers is it between Party A and Party B?
Final Test Paper Name _ _ _ _ _ _ _ Score:
Fill in the brackets with your satisfactory answers. (20 points)
1, 8,359,004 writing (), rounded to ten thousand places is about ().
2. 1.75 hours = () hours () 7800 square meters = () square kilometers.
3. Divide the 4-meter-long iron wire into five sections on average, with each section being () () kilometers long.
4. The unit of the score is 1 10, and the maximum true score is (). It adds at least () such decimal units to become the smallest odd number.
5. The ratio of A to B is 8: 5, B is 25 and A is ().
6. In 25: x, when X= (), the ratio is 1, when X= (), the ratio is meaningless, and when X= (), it can be proportional to 23 :2.
7.A is twice that of B and C is twice that of A, so A: B: C = ()
8. A worker produced 200 parts, four of which were unqualified, and the qualified rate was ()%.
9. A job takes 10 hours to complete its 5 12, and it takes 23 hours to complete it.
10, it is known that the ratio of m to m is 2: 3, and their greatest common divisor is 16, so M= ().
Second, with a sharp eye, right and wrong are clear. (6 points)
1, the formula with unknown number is called equation. ( )
2. Integers less than 3 are 1 and 2. ( )
3.9 15 cannot be converted into a finite decimal. ( )
4. Because 45
5. The simplest integer ratio must be the simplest fractional ratio. ( )
The height of each floor of 6.7 floors is the same. It takes 40 seconds for Xiao Ning to walk from the first floor to the third floor, so it takes 140 seconds to walk to the top floor.
Three. Happy A, B and C(6 points)
1, a number (except zero) divided by 19, this number is (). A, expand 9 times b, shrink 9 times c, increase 9 times
2. A thresher can thresh 9 10 tons in 34 hours and 9 10 tons in 0 hours ().
A, greater than B, less than C, equal to D, greater than or equal to.
3. equilateral triangles are () a, acute triangle b, right triangle c and obtuse triangle.
4. Give 15 of the weight of the first basket of apples to the second basket. At this time, the weight of the two baskets of apples is equal. The original weight ratio of the first basket and the second basket is (). a,4: 5 B,5: 4 C 5: 3。
5. Saw a cube with a side length of 4 cm into a small cube with a side length of 1 cm, and saw out () blocks.
a、4 B、8 C、 16 D、32 E、64
6. Cylinders and cones have equal volumes. It is known that the bottom area of a cone is twice that of a cylinder, so the height of the cylinder is the height of the cone (). A, 12 B, 23 C, 2 d, 3
Four, small psychic (23 points)
1, oral calculation (5 points)
93+55+7+45= 476-299= 0. 1×0. 1×0. 1= 8+5.2= 77× 1 1-77= 0. 12÷0. 15=
15.24- 1.6-8.4= 56 -(8 13 +56 )= 2740 ÷9= 8×5×0.0 1=
2. Find the unknown X(4 points)
7X-434 =2.25 X - 14 X=6
3, off-type calculation can be simplified (8 points)
8 15 × 13+8 15 ×2 89 ÷[56 +(47 - 47 )- 16 ] (48×47 +48×37 )× 1.25
( 1 1 18 ×922 + 13 )÷7 12
4-column calculation (6 points)
The difference between three times a number and 25 is 60%. What's this number?
What is the product of 38 and 16 plus 5 divided by 59?
Practice and exploration of verb (abbreviation of verb) (15 points)
1, the picture on the right is a rectangular cardboard, which is used as an edge and matched with different bottom surfaces to make a cuboid or cylinder, excluding joints, and calculate the required data (measure by yourself and keep integers).
(1) If equipped with a bottom surface, make a cylinder with BC as its height, and find the surface area of this uncovered cylinder.
(2) If it is equipped with a square bottom, as a cuboid with a height of AB, find the volume of this cuboid.
2. Geometric operation questions (unit: cm)
Cut off the largest cylinder in the cuboid and find the volume of the rest.
Six, practical application (30 points)
1, Xinxing Machinery Factory expanded its workshop. The original planned investment was 4 million, and the actual investment was 3.6 million. What percentage was saved?
2. A road team paved a road. It was originally planned to lay 1.6 km every day and complete it in 30 days. Actually, it was 0.8 kilometers more paved than originally planned. How many days did it actually take? (Use proportional solution)
3. The bottom radius of the cylindrical glass container filled with water is 6 cm. Now put a stone in the container, and the water level will rise by 4 cm. What is the volume of this stone in cubic centimeters?
4. Wang Hua read an extracurricular reading. On the first day, he read 20% of the book. On the second day, he read the remaining 30%, leaving 140 pages. How many pages are there in this extracurricular reading?
Xiaoming went to the West Lake 6 kilometers away. Please answer according to the following statistical chart of broken lines:
(1) How long did Xiao Ming play in the West Lake?
(2) If we keep walking from the beginning without rest, when can we reach the West Lake?
(3) Find out how fast Xiao Ming came back by bike?
The fifth grade mathematics book 10 final examination paper
Achievements:
I. Fill in the blanks: 20%
1.2.5 hours = () hours () minutes 5060 square decimeters = () square meters.
Divider of 2. 24 is (), and the prime factor of decomposition 24 is ().
3. The unit of score is 1/8. The maximum true score is (), and the minimum false score is ().
4. The numerator of the simplest fraction is the smallest prime number, the denominator is the composite number, and the maximum fraction is (). If you add decimal units like (), you will get 1.
5. Cut a cuboid whose length, width and height are 5 decimeters, 3 decimeters and 2 decimeters respectively into two small cuboids, and the maximum sum of the surface areas of these two small cuboids is () square decimeters.
6. With a 52 cm long wire, you can weld it into a rectangular frame. The frame is 6 cm long, 4 cm wide and () cm high.
7.A=2×3×5, B=3×5×5, the greatest common divisor of A and B is (), and the least common multiple is ().
8. When the side length of a cube is enlarged by 3 times, its surface area is enlarged by () times and its volume is enlarged by () times.
9. Compared with 5/ 1 1, () has a larger decimal unit and a larger fractional value.
10. The greatest common divisor of two numbers is 8 and the least common multiple is 48, where one number is 16 and the other number is ().
Second, multiple-choice questions (the serial number of the correct answer in brackets): 20%
1. In the following formula, the divisible formula is ()
① 4÷8=0.5 ② 39÷3= 13 ③ 5.2÷2.6=2
2. In 2/3, 3/20 and 7/28, the fraction that can be converted into a finite fraction is ().
① 3, ② 2, ③ 1
3. The product of the multiplication of two prime numbers must be ()
① Odd number ② Even number ③ Composite number
4.A=5B(A and B are both non-zero natural numbers) The following statement is incorrect ()
① The greatest common divisor of A and B is a2a, and the least common multiple of B is A..
③ A is divisible by B, and A contains a divisor of 5.
5. Add100g salt to100g water, and the salt accounts for () of the brine.
① 1/9 ② 1/ 10 ③ 1/ 1 1
6. given a > b, compare 2/a and 2/b ()
① 2/a > 2/b22/a < 2/b3 cannot compare dimensions.
7. The greatest common divisor of two numbers is 12, and the common divisor of these two numbers is ().
① 2 ② 4 ③ 6
8. A cuboid is cut into a small piece (as shown). The following statement is completely correct ()
① With the decrease of volume, the surface area also decreases.
② The volume decreases and the surface area increases.
(3) The volume decreases and the surface area remains unchanged.
9. Use rectangular paper of equal size, each with a length of 12 cm and a width of 8 cm. To spell a square, you need at least this rectangular piece of paper ().
① 4, ② 6, ③ 8.
10, a 6-meter-long rope, first cut off 1/2, and then cut off 1/2 meters, leaving ().
① 5m ② 5/2m ③ 0m
Third, the calculation question: 28%
1. Find the surface area and volume of a cuboid (unit: decimeter) 4%.
a=8 b=5 c=4
2. Off-model calculation (simplified to simplified) 12%
6/7+2/ 15+ 1/7+ 13/ 15 19/2 1+5/7-3/ 14
2/3+5/9-2/3+5/9
8/9-( 1/4- 1/9)- 3/4
3. Use 4% to find the greatest common divisor and the least common multiple of the following groups.
Articles 24 and 36
18, 24 and 40 (only the least common multiple)
4. Text problem 6%
What is the sum of 5/9 and 7/ 18 minus 1/2?
Subtract the difference between 7/ 15 and 7/30 from a number and the result is 2/3. What's this number? (Equation solving)
Four, painting questions 4%
Please use shading to represent 1/2 (at least 5 kinds).
Verb (abbreviation of verb) application problem: 30%
1. A piece of land, in which 1/5 kinds of corn, 1/6 kinds of vegetables and the rest kinds of watermelons. What is the proportion of watermelons planted in this land?
There are 24 boys and 20 girls in one class. How many times more boys than girls? What is the percentage of boys to girls?
Students take part in environmental protection action. The fifth grade cleared 3/5 tons of garbage, less than the sixth grade 1/8 tons. How many tons of garbage were removed in the fifth and sixth grades?
4. A rectangular iron plate with a length of 40 cm and a width of 30 cm, the four corners are cut off and the sides are 4 cm long, and then welded into a box without a cover. How many liters is its volume?
5. A car traveled192km in the first 3 hours and 58km/h in the last 2 hours. What is the average speed of this car?