1. Fill in the blanks.

1. Among natural numbers, the number that is neither prime nor composite is (), the smallest prime is (), and the smallest composite is ().

2. The prime factor of decomposition 120 is ().

3. Two prime numbers whose least common multiple is 60 are both complex numbers, namely () and ().

4.A and B are a pair of prime numbers, and a×b =36, then A and B are () respectively.

5. Three digits are the smallest natural number in the unit, the tenth digit is the smallest composite number, and the hundredth digit is the smallest prime number. This three-digit number is ().

6. Rectangular length 1 decimeter, width 8 cm, height 3 cm. Its surface area is () and its volume is ().

7. Make the largest cube frame with 48 cm long wire. Its surface area is () square centimeters and its volume is () cubic centimeters.

8. It is known that the triangle has an area of 24 square centimeters, a base of 8 centimeters and a height of () centimeters.

9. Saw a 2-meter-long cuboid wood into four sections on average, and the surface area increased by 48 square decimeters. The original volume of this wood is () cubic decimeter.

10. It is known that the area of a trapezoid is 36 square centimeters, the height is 4 centimeters, and the sum of the upper bottom and the lower bottom is ().

1 1. It is known that a number =3×3×5×7, b number = 3× 5× 711,and the greatest common divisor of a number and b number is ().

12. Fill in the following figures as required.

6 9 102 45 1 10 9 1 780 248 37

Odd numbers () are divisible by 2 ()

Even number () is divisible by 3.

Prime number () is divisible by 5.

The composite number () is divisible by 2, 3 and 5.

Second, judge.

1. The sum of the sides of a cuboid is 84 cm, and the sum of the lengths of three sides from a vertex is 2 1 cm. ( )

2.7.2 Divided by decimals, the quotient must be greater than 7.2. ( )

3. Two numbers without common divisor are called prime numbers. ( )

3. multiple choice questions.

1. If both m and n are natural numbers and m = 8n, then the least common multiple of m and n is ().

a、m B、n C、mn D、8

2, the following groups of numbers, the first number can be divisible by the second number is ().

A, 36 and 0.9 B, 7 and 56 C, 54 and 27 D, 84 and 8.

3. If the least common multiple of two natural numbers is 2 10 and their least common divisor is 14, then these two numbers are ().

A, 140 and 2 1 B, 42 and 70 C, 10 and 2 1 D, 14 and 35.

4. If m ÷ n = 13, and both m and n are natural numbers, then m is () of n, and n is () of m. ..

A. Minimum common divisor B. Maximum common divisor C. Maximum common multiple D. Minimum common multiple

5, 99.999 Keep two decimal places is ().

100.0

6. The sum of two adjacent natural numbers must be (), and the product must be ().

A. odd B. even C. composite D. prime number

Four. Calculate.

1. Calculation, simplify what can be simplified.

6.7 1×7.5 + 2.5×6.7 1 ( 3. 12 + 0.3 )÷[ ( 1-0.4 )÷0.2 ]

3. 14×625-3. 14×374-3. 14 [ 4 1-( 4.2 + 5.8÷5 ) ]÷0.9

3.4÷4.4 1 + 0.4×0.05 12.5×3.2×0.25× 1.3

2. Write the number directly.

5.2-3 + 8= 2.9 + 4. 1 = 1÷0.05 = 8×0.5 = 3.29÷3.29 =

8.9 + 8.9 = 2-3.6 = 8.8-0.8 = 4.8÷ 1.6 = 0×(4-0.4 ) =

3. Solve the equation.

6x-0.4×6 = 9.6 1 18-2×(4. 1+X)= 55 4x+80 = 160

9.6÷X = 0.8 4.8-X = 3×(X+6)4.3X- 1.5+3.2X = 4.5

4. Find the shadow area.

5 cm

3 cm

5. Formula calculation.

1. If you subtract 3.6 from a number, the difference is five times, which is exactly three times this number. Find this number.

2. The number of B is 3 times less than that of C, and the number of A is 4 times that of B. It is known that the number of A is 132. Find the number of c ..

3.2.5 Divide by the product of 64 1.44. What is the quotient?

5 times of a number is 48 less than the quotient of 40 divided by 5, so find this number. (Equation solving)

6. Application questions.

1. Only column types are not counted.

(1) The construction team will build a 480m-long road, which is scheduled to be completed in 12 days. Actually, it was completed in 10 day. How many meters are actually built every day? Formula: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

(2) Xiaohua scored an average of 9 1 in the first two math exams and 90 in the last three exams. Ask him the average score of these five tests. Formula: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Li Hong and Wang Gang just bought five and three identical exercise books. It is understood that Li Hong paid 7.20 yuan more than Wang Gang. What is the unit price of this exercise book?

3. Two athletes, A and B, practice running. A runs 7 meters per second and B runs 6.5 meters per second. If B is allowed to run out of 10 meter first, and A starts again, how many seconds will it take for A to catch up with B? (Equation solving)

Car A travels 50 kilometers per hour, and car B travels 56 kilometers per hour. Two cars are walking back to back from two places 20 kilometers apart. A few hours later, the distance between the two cars was 274.4 kilometers.

A swimming pool is 50m long, 30m wide and 3m deep. Spread square bricks with the length of 1 decimeter on the four walls and bottom of the swimming pool. How many square bricks do you need? If this swimming pool is filled with water, how many cubic meters can it release?

6. There are 730 peach trees in the orchard, which is 20 fewer than 1.25 times that of pear trees. How many pear and peach trees are there in the orchard?

7. The engineering team wants to build a 7.4-kilometer expressway, which has been built for 12 days, with an average of 0.35 kilometers per day. The remaining 8 days to complete, how many kilometers per day on average?

The final examination paper of mathematics in the second volume of the fifth grade

1. Fill in the blanks.

1 and 24 have () divisors, and the minimum multiple of 24 is ().

2. In the natural number 1-20, there are both even numbers and prime numbers (); There is a strange and complicated ().

3. The greatest common divisor of A and B is 1, and the least common multiple is ().

4. When the side length of a cube is expanded by 3 times, its volume will be expanded by () times and its surface area will be expanded by () times.

5, 3 liters 60 ml = () liters = () ml.

6.a number = 2×3×5×7 B number = 2×5× 1 1.

Then the greatest common divisor of two numbers is () and the least common multiple is ()

7. The prime factor of decomposition 96 is ().

8. Divide the 4-meter-long wooden stick into 7 segments on average, each segment is () meters long, and each segment accounts for () of the total length.

9、 =( )÷ 15 = 15÷( )=

10, the highest true score is (), the lowest false score is (), and the lowest band score is ()

1 1, 1 contains (), and 2 contains ().

The decimal unit of 2 is (), and the decimal unit of 20 is ().

12. Li Ming is one year old and Sean is a+b years old; Five years later, the age difference between them is () years.

13. It is known that a = 2.3 and b = 5；; ; The value of 8a-b+2a is ().

14. The product of two numbers is 72, their least common multiple is 36, and the minimum sum of these two numbers is ().

15. There are squares and rectangles with a circumference of 36 cm, and the length of the rectangle is three times as wide. Their areas differ by () square centimeters.

Two judgments (tick right and x wrong)

1, the adjacent faces of the cuboid are not exactly the same. ( )

2. The common multiple of two numbers must be greater than two numbers. ( )

3. Any integer must have two divisors. ( )

4. Two composite numbers cannot be prime numbers. ( )

5. This is the simplest score. ( )

6. Because the ratio is very small, the decimal unit of is smaller than that of. ( )

7.2. The minimum common multiple of12 and 18 is 6 times the maximum common multiple of these two numbers. ( )

8. An isosceles triangle can be cut along the height of the bottom of the isosceles triangle and divided into two equal right triangles. ( )

Three options (put the serial number of the correct answer in brackets).

1, cut a cuboid into many cubes, and its volume () and surface area ().

① Constant ② Increase ③ Decrease

2. A cuboid is 8cm, 6cm wide, 4cm high and () cm long. ① 18 ② 36 ③ 72

3. A cube of 1 m3 is divided into () cubes of 1 cubic decimeter.

① 1000 pcs ② 100 pcs ③ 10 pcs.

4. Among the following numbers, both numbers are composite numbers and the number of prime numbers is ().

① 16 and12227 and 28 ③ 1 1 and 44.

5, the following figures, can't be converted into a finite decimal is ().

① ② ③

Four text questions.

What is the sum of 1.3 and 1 plus 2?

2. What is the sum of the differences obtained by subtracting 2 and adding 3?

Practical problems of intransitive verbs

1. The temperatures measured by a meteorological team at 2 o'clock, 8 o'clock, 16 o'clock and 20 o'clock in a day are 18 degrees, 20 degrees, 28 degrees and 26 degrees respectively. Find the average temperature of this day.

A canal was built in Xinhe Township. The first day was 58.5 meters, three times more than the second day. How many meters were built the next day?

There is a batch of goods in the warehouse, and 45 tons have been transported away, 20.3 tons more than the rest. How many tons are there in this shipment?

4. A 24-meter-long wire used 16 meter, and a fraction of the total length was used? How much is the total length left?

5. Make a rectangular oil tank with iron sheet. The length of the oil tank is 8 decimeters, the width is 6 decimeters and the height is 5 decimeters. How many square decimetres of iron should I use at least? If the oil weighs 0.82 kg per cubic meter. So, how many kilograms of diesel can this fuel tank hold at most?

6.A train goes from place A to place B at a speed of 50 kilometers per hour and arrives in 6 hours; When you return, you can go forward at a speed of 60 kilometers per hour. How many hours can you arrive?

7. A cuboid fish tank with a length of 6 decimeters, a height of 5 decimeters and a width of 4 decimeters is now filled with 96 liters of water. How many decimeters is the water surface from the edge of the fish tank?

The final examination paper of mathematics in the second volume of the fifth grade

Fill in the blanks.

1.8 sqm 8 sqm = () sqm = () sqm.

2.6700 m = () km () m = () km

3. Weld a rectangular frame with a length of 10 cm and a width of 6 cm with iron wire. At least () cm of wire is needed.

4. Assemble three small cubic blocks of 1 cubic centimeter into a cuboid block with a volume of () and a surface area of ().

5. Choose three numbers from the four numbers 0, 1, 2 and 4. The largest three digits that can be divisible by 2, 5 and 3 at the same time are () and the smallest three digits are ().

6. () Divided by 13, the quotient 5 is greater than 2.

7. The quotient is 2 1. If the dividend decreases by 10 times and the divisor increases by 10 times, then the quotient is ().

8. Add a zero after 8. This zero is more than the original number (), and this number is more than the original number () times.

9. Divide the 3-meter-long line segment into five parts. Each part is () meters by fraction and () meters by decimal.

10. Of these two scores, () has the largest score value and () has the largest score unit.

The decimal unit of 1 1 Is (), plus a decimal unit like () is the smallest prime number.

12. Two two-digit numbers, their greatest common divisor is 9 and their least common multiple is 360. These two figures are respectively

() and ().

13. Cut the 2-meter-long iron wire into three equal parts, with each part accounting for () of the total length and each part being () meters long.

The least common multiple of 14. 16 and 24 is (). This number multiplied by the prime number is ().

2. True or false.

1.2.4÷0.3 = 8, because the quotient is an integer with no remainder, so 2.4 can be divisible by 0.3. ()

2. Decimals are smaller than integers. ()

Only two of the prime numbers are even numbers, and the rest are odd numbers. ()

4. Two adjacent natural numbers must be prime numbers. ()

The bigger the counting unit of a number, the bigger the number. ()

6. rope a is meters longer than rope b, and rope b is shorter than rope a. ()

Three. Multiple choice questions

1. 13÷2 = 6.5, we say that 13 is divisible by 2.a.b []

2. The side length of a cube is a, and its surface area is [].

A. 12a B.6a2 C.a2 D.a3

3. The smallest number among natural numbers is A. 0 B. 1 [].

4. Increase the denominator of 15, and enlarge the numerator () to keep the fraction size unchanged.

A.4 times B. 3 times C. 15 times D. 6 times.

Xiaoming's home is about 1 km from school. It takes him about () minutes to walk from home to school.

A.80 B. 60 C. 5 D. 3

6. There are 168 prime numbers among the first 1000 natural numbers, so the number of composite numbers is ().

A.833 B，832 C，83 1 D，830。

7. It takes 5 minutes to saw a cuboid in half, but it takes () minutes to see it in half.

A, 25 B, 20 C, 12.5

8. The sum of three consecutive natural numbers is 12, and the greatest common divisor of these three numbers is ().

a， 1 B，2 C，3

4. Application questions.

1. A cubic water tank, each side of which is 4 meters long, is filled with a box of water. If you pour this box of water into another rectangular water tank with a length of 0.8m and a width of 25cm, what is the water depth?

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 and surface area of this carton?

3. The distance between port A and port B is 180km. The ship traveled 45 kilometers per hour when it left and 30 kilometers per hour when it returned against the wind. Find out the average speed of the ship between port A and port B.

4. A car travels 20 kilometers in 28 minutes and B car travels 25 kilometers in 40 minutes. Which is faster per minute?

5. A grain store bought 1.5 tons of rice, with more tons of flour and less tons of miscellaneous grains than flour. * * * How many tons of grain have been brought in?

6. Master and apprentice cooperated to produce a batch of parts. The master produces 40 pieces per hour and the apprentice produces 30 pieces per hour. When the task was completed, the apprentice just produced 450 pieces. How many pieces are there in this batch?