2011 People's Education Press Fifth Grade Mathematics Final Exam Paper

Name: ＿＿＿＿＿Primary＿Grade＿Class Score:＿＿＿

1. Fill in the blanks. (1 point for each empty mark, totaling 24 points)

1. Xiao Ming originally had 20 yuan. After using x yuan, there are still (＿＿) yuan left.

The greatest common divisor of 2, 12 and 18 is (_); the least common multiple of 6 and 9 is (_).

3. Divide the 3-meter-long rope into 8 equal sections, each section is ∕meter long, and each section is the full length (＿∕＿).

4. Xiaohong’s position in the classroom is represented by a number pair (5, 4). She sits in the (_)th column and (_)th row. Xiaoli's position in the classroom is column 5, row 3, represented by a number pair (_, _).

5. The smallest three-digit number that can be divided by 2, 3 and 5 at the same time (＿＿); the smallest number that can be divided by 6 and 8 at the same time (＿＿).

6. If a÷b=8 (and neither a nor b is a natural number 0), their greatest common factor is (＿) and their least common multiple is (＿).

7. (a is a natural number greater than 0), when a=(＿), is a proper fraction, when a=(＿), is an improper fraction, when a=(＿), equal to 3.

8. (4∕9) = (＿∕36) = (＿)÷9=44÷(＿)

9. Fill in the appropriate fractions in the brackets.

35 cubic decimeters = (＿∕＿) cubic meters 53 seconds = (＿∕＿) hours 25 hectares = (＿∕＿) square kilometers

10, in 20 Among all the divisors of , the largest one is (＿), and among all the multiples of 15, the smallest one is (＿).

11. There is a cube dice with the numbers on six sides being 1, 2, 3, 4, 5, and 6. Throw a dice, the probability of getting a composite number is (＿∕_), and the probability of getting an even number is (＿∕_).

2. Make careful judgments. (5 points)

1. An equation must be an equation, but an equation is not necessarily an equation. ………………………………( )

2. Improper fractions are all smaller than 1. …………………………………………………… ( )

3. The positions represented by the number pairs (4, 3) and (3, 4) are the same . ………………………… ( )

The greatest common factor of 4, 14 and 7 is 14. …………………………………………………… ( )

5. Divide the 2-meter-long wire into 4 sections, each section is 1∕4 meters. …………………………………… ( )

3. Choose carefully. (5 points)

1. A rectangular piece of paper 24 cm long and 18 cm wide should be divided into small squares of equal size, with no remainder. The minimum can be divided into ( ).

A. 12 B. 15 C. 9 D. 6

2. x∕7 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). Boys account for ( ) of the whole class .

A.25∕28 B.25∕53 C. 28∕53 D.28∕25

4. Divide 4 dry grams into 5 equal portions. Each portion is ( ) .

A. 4∕5 B. 5∕4 C. 1∕5 D. 4∕9

5. The greatest common factor of two numbers is 4, and the least common multiple is 24 , these two numbers cannot be ( ).

A. 4 and 24 B. 8 and 12 C. 8 and 24

4. Calculate carefully (40)

1. Write the number 4

6.3 7= 21.5 9.5= 2.5×0.4= 42.8-4.28=

1-0.01= 3.5÷0.5= 8.2÷0.01= 8.2×0.01=

2. Solve the equation: 12

X-7.4=8 2X=3.6 X÷1.8=3.6 common multiple. (9)

10 and 9 14 and 42 26 and 39

4. Calculate the following equation: 9

(2.44-1.8)÷0.4 2.9× 1.4 2×0.16 30.8÷ [14-(9.85 1.07)]

5. Formulate and solve the equation according to the meaning of the question. (6 points)

① The sum of 7 X’s is 10.5.

5. Application questions: (26)

1. There are 138 male athletes in our country participating in the 28th Olympic Games, and there are 7 fewer female athletes than twice the number of male athletes. How many male and female athletes are there per ***?

2. In Beijing’s bid to host the 2008 Olympic Games, *** had 105 valid votes and Beijing received 56. What percentage of Beijing's votes accounted for the valid votes?

3. A, B, and C go to the library to borrow books. A goes every 6 days, B goes every 8 days, and C goes every 9 days. If they go to the library on April 25 The three of them met in the library. When will the next time they all go to the library?

4. There is a piece of cloth 8 meters long, which can be used to make 12 pairs of pants of the same size. How many millimeters of fabric is used for each pair of pants? What fraction of this cloth is used for each pair of pants?

5. Cut a rectangular piece of paper 20 centimeters long and 16 meters wide into squares of the same size and as large an area as possible. If there is no paper left, how many squares can be cut at most?

6. Two cars drive away from A and B at the same time. Car A travels 48 kilometers per hour, and car B travels 54 kilometers per hour. When they meet, the two cars are 36 kilometers away from the midpoint. How many kilometers away are the places?

Final test paper Name___________ Score:

1. Fill in the answers you are satisfied with in the brackets. (20 points)

1. Eight, three hundred and fifty-nine thousand and four is written as (＿＿＿＿＿＿＿), rounded to the nearest ten thousand is approximately (＿＿＿)

2. 1.75 hours = ( ＿) Hours (＿＿) Minutes 7800 square meters = (＿＿) square kilometers

3. Divide the 4-meter-long wire into 5 equal sections. The length of each section is the full length (＿∕＿) , each section is (_) meters long.

4. The minimum correct fraction whose unit of fraction is 110 is (＿∕＿). It becomes the smallest odd number by adding at least (_) such fractional units.

5. The ratio of the two numbers A and B is 8:5, B’s number is 25, and A’s number is ( )

6. In 25:X, when X= ( ) The ratio is 1. When X=( ), the ratio is meaningless. When X=( ), it can form a ratio with 23:2.

7. A is twice as long as B, and C is twice as long as A, then A: B: C = ( )

8. A worker produces 200 parts, of which 4 The pass rate is ( )

9. It takes 10 hours to complete 5/12 of a piece of work, and ( ) hours to complete 2/3 of it.

10. It is known that the ratio of the two numbers M and M is 2:3, and their greatest common divisor is 16, then M= ( ).

2. Have a sharp eye and discern right from wrong. (6 points)

1. A formula containing unknown numbers is called an equation.

( )

2. Among the integers smaller than 3, there are 1 and 2. ( )

3. 9∕15 cannot be converted into a finite decimal. ( )

4. Because 45 lt; 67, so 15 lt; 17. ( )

5. The ratio of the simplest integer ratio must be the simplest fraction. ( )

6. The height of each floor of a 7-story building is the same. It takes Xiaoning 40 seconds to walk from the bottom to the third floor, and then it takes 140 seconds to walk to the top.

3. Happy A, B, C (6 points)

1. If a number (except zero) is divided by 19, the number is ( ). A. Expand 9 times B. Reduce 9 times C. Increase 9 times

2. A threshing machine can thresh 910 tons in 34 hours, and the tonnage of threshing in 1 hour ( ) 910 tons.

A, greater than B, less than C, equal to D, greater than or equal to

3. An equilateral triangle is ( ) A. acute triangle B. right triangle C. 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 to the second basket is (). A, 4:5 B, 5:4 C 5 :3

5. Saw a cube with an edge length of 4 cm into small cubes with an edge length of 1 cm. You can saw ( ) pieces.

A, 4 B, 8 C, 16 D, 32 E, 64

6. The volumes of a cylinder and a cone are equal. It is known that the base area of ??the cone is the base area of ??the cylinder. 2 times, then the height of the cylinder is the height of the cone ( ). A, 12 B, 23 C, 2 times D, 3 times

4. Little magic calculation (23 points)

1. Oral calculation (5 points)

93 55 7 45= 476-299= 0.1×0.1×0.1= 8 5.2= 77×11-77= 0.12÷0.15=

15.24-1.6-8.4= 56 -(813 56 )= 2740 ÷ 9= 8×5×0.01=

2. Find the unknown number X (4 points)

7X-434 =2.25 X - 14 X=6

3 , the decoupling calculation can be simplified (8 points)

815 ×13 815 ×2 89 ÷ [56 (47 - 47 )-16 ] (48×47 48×37 )×1.25

(1118 ×922 13 )÷712

4-column equation calculation (6 points)

The difference between 3 times a number and 25 is 60. What is this number?

The product of 38 and 16, plus 5 divided by 59, what is the sum?

5. Practice and exploration (15 points)

1. Picture on the right It is a rectangular piece of cardboard. Use it as the side and add different bases to make a cuboid or cylinder. The joints are not counted. Calculate the required data (measure it yourself and keep the integers)

(1) If it is equipped with a base and made into a cylinder with BC as the height, find the surface area of ??the uncovered cylinder.

(2) If it is equipped with a square base and is used as a cuboid with AB as the height, find the volume of the cuboid.

2. Geometric operation questions (unit: centimeters)

Cut off the largest cylinder from a cuboid and find the volume of the remaining part.

6. Practical application (30 points)

1. Xinxing Machinery Factory originally planned to invest 4 million yuan in expanding its factory building, but the actual investment was 3.6 million yuan. What percentage was saved?

2. A road construction team is paving a road. The original plan is to pave 1.6 kilometers per day and complete the paving in 30 days. The actual paving is 0.8 kilometers more than the original plan per day. How many days does it actually take to complete the road? (Use proportion to solve)

3. A cylindrical glass container filled with water has a bottom radius of 6 cm. Now a stone is put into the container. At this time, the water surface rises by 4 cm. What is the volume of the stone in cubic centimeters?

4. Wang Hua read an extracurricular reading. He read 20 of the book on the first day and the remaining 30 on the second day. There are still 140 pages left to finish. This extracurricular reading ***How ??many pages?

Fifth Grade Mathematics Volume 10 Final Exam Paper

Score:

1. Fill in the blanks: 20

1. 2. 5 hours = ( ) hours ( ) minutes 5060 square decimeters = ( ) square meters

2. The divisors of 24 are ( ), and the prime factors of 24 are ( )

3. The largest proper fraction whose unit of fraction is 1/8 is ( ), and the smallest improper fraction is ( ).

4. The numerator of a simplest fraction is the smallest prime number, and the denominator is a composite number. The maximum fraction is ( ). If you add ( ) such fractional units, you get 1.

5. Cut a cuboid whose length, width and height are 5 decimeters, 3 decimeters and 2 decimeters respectively into two small cuboids. The maximum sum of the surface areas of these two small cuboids is ( ) Square decimeters.

6. Use a 52 cm long iron wire to 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. The edge length of the cube is expanded three times, its surface area is expanded ( ) times, and its volume is expanded ( ) times.

9. Comparing 4/9 with 5/11, the fraction unit of ( ) is larger and the fraction value of ( ) is larger.

10. The greatest common divisor of two numbers is 8, the least common multiple is 48, one number is 16, and the other number is ( ).

2. Multiple-choice question (fill in the correct answer number in the brackets): 20

1. Among the following formulas, the formula that is divisible by integers 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, it can be converted into The fractions of finite decimals are ( )

① 3 ② 2 ③ 1

3. The product 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) Which of the following statements is incorrect ( )

① The maximum of A and B The common divisor is A ② The least common multiple of A and B is A

③ A can be divisible by B, and A contains a divisor of 5

5. Add 10 grams of salt to 100 grams of water , then salt accounts for ( )

① 1/9 ② 1/10 ③ 1/11

6. It is known that a>b, then 2/a and 2/ b comparison ( )

① 2/a＞ 2/b ②2/a < 2/b ③ Cannot compare the size

7. The greatest common divisor of two numbers is 12, which means The number of common divisors of two numbers is ( )

① 2 ② 4 ③ 6

8. A small piece of a cuboid is dug out (as shown in the picture) below The statement is completely correct ( )

① When the volume decreases, the surface area also decreases

② When the volume decreases, the surface area increases

③ When the volume decreases, the surface area remains unchanged

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9. Use rectangular papers of equal size, each 12 cm long and 8 cm wide. To form a square, you need at least this kind of rectangular paper ( ).

① 4 sheets ② 6 sheets ③ 8 sheets

10. A 6-meter-long rope, first cut off 1/2, and then cut off 1/2 meter. At this time Remaining ( )

① 5 meters ② 5/2 meters ③ 0 meters

3. Calculation questions: 28

1. Find the surface area and volume of the cuboid (Unit: decimeter) 4

a=8 b=5 c=4

2. Off-form calculation (simplify the calculation if you can) 12

6/7＋2/15＋1/7＋13/15 19/21＋5/7－3/14

2/3＋5/9－2/3+5/9

8/9－(1 /4-1/9)-3/4

3. Find the greatest common divisor and least common multiple of 4 for each group of numbers in the bottom column

24 and 36

18, 24 and 40 (only find the lowest common multiple)

4. Word question 6

The sum of 5/9 and 7/18, then subtract 1/2, the result is How many?

Subtract the difference between 7/15 and 7/30 from a number. The result is 2/3. What is this number? (Use equations to solve)

4. Graphing question 4

Please use shading methods to represent 1/2 (at least 5 types)

5. Application questions: 30

1. On a piece of land, 1/5 is planted with corn, 1/6 is planted with vegetables, and the rest is planted with watermelon. What percentage of the land is planted with watermelons?

2. There are 24 boys and 20 girls in a certain class. How many times are the number of boys than girls? What fraction of the number of girls is the number of boys?

3. Students participate in environmental protection actions. The fifth graders collected 3/5 tons of garbage, which was 1/8 ton less than the sixth graders.

How many tons of garbage does the fifth and sixth grade *** clean up?

4. Take a rectangular iron plate 40 cm long and 30 cm wide, cut off its four corners into squares with a side length of 4 cm, and then weld it into a box without a lid. What is its volume in liters?

5. A car traveled 192 kilometers per hour in the first 3 hours and 58 kilometers per hour in the next 2 hours. What is the average speed of the car?