2.3/4*3/5+3/4*2/5
3.( 1- 1/4+8/9)/7/9
4 2/3+ 1/6/3/24+2/2 1
5 1*8/ 15*3/5
6 10-3/4/9/ 10- 1/6
7 [( 1/3+ 1/2)/5/6- 1/3]/ 1/7
8 2/3/5+3/5/2+3/4
9 1/[(2-2/3/ 1/2)]*2/5
10 3^2*3.25678
1 1 3^3-5
12 4^2-34%
13 3.25-3 15%
14 7^3+445%
15 12+5268.32-2569
16 123+456-52*8
17 45%+6325
18 1/2+ 1/3+ 1/4
19 789+456-78
20 45%+54%-36%
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?
(1) There are several goldfish in the fish tank, of which red goldfish accounts for all and black goldfish accounts for all. What percentage of all goldfish are red goldfish and black goldfish?
It took the road repair team three days to repair half of the whole road. On the first day, the whole road was repaired. On the second day, how many parts of the whole road were repaired?
(3) Red Star Primary School will build a rectangular playground 60 meters long and 45 meters wide. Pave 10 cm thick concrete first, and then pave 4 cm thick cinder. How many cubic meters does concrete need more than cinder?
(4) How many square decimeters of iron does it take to make an uncovered rectangular tin can with a length of 85cm, a width of 50cm and a height of 50cm?
(5) Badge Factory finished processing a batch of medals for the 2008 Olympic Games in one month. It was all processed in the first half of the month. How much less was processed in the second half of the month than in the first half?
(6) A cuboid fuel tank with a length of 70cm, a width of 44cm and a height of 25cm. How many liters of oil can this tank hold at most? If the price of gasoline is calculated at 3.76 yuan per liter, how much does it cost to fill up such a box of gasoline?
1. Xiaoming reads books, reading an average of 6.25 pages a day for the first 4 days and 24 pages for the last 3 days. How many pages does Xiaoming read every day this week?
The following is the temperature of a certain place in four periods of a day. Calculate the average temperature of this day.
3. A wooden box, length 1.2m, width 0.8m and height1m.. If it is painted all around the outside, what is the area of the painting?
4. There is a kind of rectangular steel, which is 2 meters long and the cross section is a square with a side length of 5 centimeters. Each cubic decimeter of steel weighs 7.8 kilograms. How much does this square steel weigh?
5. There is a fish pond, with a length of 18m, a width of 12m and a depth of 3.5m It is necessary to coat a layer of cement around the fish pond to prevent water seepage. If 5 kilograms of cement is used per square meter, how many kilograms of cement does a * * need?
6. Cut a cube with a volume of 64 cubic centimeters from a cuboid with a length of 6 centimeters. What is the original surface area of this cuboid?
7. What is the smallest number divisible by both 6 and 9?
8. A rectangular piece of paper, 48 cm long and 36 cm wide. Cut this paper into square paper with the same size and no excess. What is the longest side of the square?
1 class and class 5 (1) students do exercises. Line up 3 people for every 8 people and 3 people for every 10 people. How many students are there in this class at least?
Xiaoming walks 45 minutes from school to Children's Palace, and Xiaolin walks 48 minutes from school to Children's Palace. How many points did each of them get? Who is faster?
3. A cuboid reservoir, measured from the inside, is 4.5m long, 4m wide and 1 m deep. How many square meters is this reservoir? There is 14.4 cubic meters of water in the pool. How deep is it?
The tractor plowed a field. What is the percentage of cultivated land in the morning and afternoon?
1.38 ÷19 = 22 ÷ 0.1= 20, () can be divisible by ().
2. The prime factor of decomposition 40 is ().
3.6□0 can be divisible by 3 and 5, and □ can be filled with ().
The greatest common divisor of 4. 6 and 10 are (), and the least common multiple is ().
5. In the number 1, 0.5, 2, 4, 0, 10,1,() is an integer, () is a natural number, () is an odd number, () is an even number, () is a prime number, ()
6. The sum of three consecutive natural numbers is 18. The greatest common divisor of these three natural numbers is (), and the least common multiple is ().
7. Two numbers have the same prime factors 2 and 7, and their common divisor is ().
8. Write two composite numbers and make them coprime. These two numbers are () and ().
9. A few thousand is the smallest odd number, ten thousand is the smallest composite number, ten digits are the smallest prime number, and other digits are zero. This number is written as (), which is a multiple of ().
The prime number between 10. 10 ~ 20 is (), in which the number in the () position is still a prime number after exchanging positions with the number in the tenth position.
1 1. The prime factor of decomposition 9 1 is ().
12. decompose 78 into prime factors. ()
13.28, 42 and 56 are divisible by a number, and the maximum number is ().
14. Fill in the appropriate numbers in brackets.
① The product of11and () is a composite number.
② The product of 97 and () is a prime number.
③ The product of 23 and () is even.
④ The product of17 and () is divisible by 3.
The product of ⑤ 13 and () can be divisible by 5.
The product of 29 and () is divisible by 2 and 3.
⑦ The product of 37 and () is divisible by 3 and 5.
8 The product of 41and () can be divisible by 2, 3 and 5.
1. 10 and 5,5 can be () 10, 5 is the () number of 10, and 10 is the () number of 5.
The common multiple of 6 and 8 in 2. 50 is ().
The divisor of three. 24 is (), and the minimum multiple is ().
4. Natural number () is infinite, so there is no natural number ().
5. The sum of prime numbers within10 is ().
6. The minimum multiple of a number is 99, this number is (), and the prime factor of its decomposition is ().
7. 102 1 is divisible by 3, and at least one integer () is added.
8. The natural number A is the divisor of the natural number B, the greatest common divisor of A and B is (), and the smallest common multiple is ().
9. The divisor of12 is (), where () is odd, () is even, () is prime and () is composite.
10. The least common multiple of two prime numbers is 143. These two prime numbers are () and () or () and ().
1/a multiple of kloc-0/ 4: 2□, 5□, 4□0.
/kloc-a multiple of 0/2. 3: □60, 70□0, 3 10□
13. If A is divisible by B, then A must be divisible by B. ()
14. Prime number: 2 1=□+□=□-□=□×□
15. Divide the following formula: (815 +□) ÷ 3 (65×□) ÷15 (□ is a single digit).
16. 12 1 is a multiple of 1 1: □□; 13 is the divisor of 78: □□□ small □; A is the divisor of 50: □□; B is a multiple of a: □.
1. Find the greatest common divisor and the least common multiple of 42 and 70.
Find the greatest common divisor and the least common multiple of 66 and 165.
3. Find the greatest common divisor and the least common multiple of13,39 and 9 1.
How many times is the minimum common multiple of 4.30, 40 and 60 their maximum common multiple?
Find the greatest common divisor and the least common multiple of 32, 48 and 60.
6. Prime factorization 28, 50
7. Decomposition factor. 84, 92
1, in the numbers 0, 1, 3, 0.5, 4, 8, 17, 2.6; The natural number is (); Integer has (); Odd numbers have (); Even numbers have (); Prime numbers have (); The composite number has (); Decimals have (); The score is ().
2. The smallest natural number is (); The smallest odd number is (); The smallest even number is (); The smallest prime number is (); The smallest composite number is ().
3. The minimum number with about 2 and about 3 is (); The minimum number of both about 2 and about 5 is (); The minimum number of both about 3 and about 5 is ().
4. The smallest natural number that is neither prime nor even (); Two prime numbers; Even number is (); The smallest number that is both odd and prime is (); The smallest number that is both an even number and a composite number is (); The minimum number that is neither prime nor composite is (); The smallest number that is both odd and composite is ().
5. The two-digit number that can be divisible by 2, 3 and 5 at the same time is ().
6. The prime factor of decomposition 390 is (390=).
7. The remainders divided by 2, 5 and 3 are all numbers of 1, and the smallest one is ().
The greatest common divisor of 8.2, 5 and 10 is (), and the least common multiple is ().
9. The quotient of a divided by b is 15, and the greatest common divisor of a and b is (); The least common multiple is ().
10. Choose four numbers from the five numbers 0, 2, 3, 5 and 7 to form the smallest four-digit number () that can be divisible by 2, 3 and 5 at the same time.