2010-6-25 11:51 qwer22uiop123 | Level 2
1. Fill in the blanks (20 points)★★
1. 7020 square decimeters = ( ) square meters
2. 4.5 hours = ( ) hours ( ) minutes
3. The divisor of 48 is ( ), and the prime factor of 48 is ( )
4. The largest proper fraction whose fraction unit is 1/7 is ( ), and the smallest improper fraction is ( ).
5. 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.
6. Cut a cuboid whose length, width and height are 8 decimeters, 5 decimeters and 10 decimeters respectively into two small cuboids. The maximum sum of the surface areas of these two small cuboids is ( ) Square decimeters.
7. The greatest common divisor of two numbers is 8, and the least common multiple is 48. One number is 16, and the other number is ( ).
8. A=2×3×5×7, B=3×5×5×7, the greatest common divisor of A and B is ( ), and the least common multiple is ( ).
9. If the edge length of the cube is expanded by 2 times, its surface area will be expanded by ( ) times, and its volume will be expanded by ( ) times.
Compared with 10, 4/9 and 5/11, the fraction unit of ( ) is larger and the fraction value of ( ) is larger.
11. A 96 cm long iron wire can be welded into a rectangular parallelepiped frame. The frame is 10 cm long, 6 cm wide and ( ) cm high.
12. The quotient of 825÷3 is ( ), which is a ( ) digit.
2. Multiple-choice question (fill in the number of the correct answer in the brackets) (20 points)★
1. Among the following formulas, the formula that is divisible by integers is ( ) < /p>
① 4÷8=0.5 ② 39÷3＝13 ③ 5.2÷2.6＝2
2. In 2/3, 3/20 and 7/28, ( ) can into finite decimals.
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 greatest common divisor of A and B is A ② A and The least common multiple of B is A ③ A can be divided by B, and A contains a divisor of 5
5. Add 10 grams of salt to 100 grams of water, then the salt accounts for ( ) of the salt water
< p>① 1/9 ② 1/10 ③ 1/116. It is known that a>b (b>0), then compare 2/a with 2/b ( )
< p>① 2/a>2/b ②2/a <2/b ③ Cannot compare the size7. The greatest common divisor of two numbers is 12. The number of common divisors of these two numbers There are ( )
① 2 ② 4 ③ 6
8. The second quarter of this year is ( ) day.
① 90 ② 91 ③ 92 ④ 29
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 10-meter-long bamboo pole, first cut into 1/2, then cut into 1/2 meter, then there is still ( )
① 5 meters ② 9/2 meters ③ 0 meters
3. Calculation questions (28 points)★
1. Find the sum of the surface areas of the cuboid Volume (unit: decimeter) (6 points)
a = 8 b = 5 h = 4
2. Off-form calculation (simplify the calculation if you can) (12 points )
① 6/7＋2/15＋1/7+13/15
② 19/21＋5/7－3/14
③ 2/3＋5/9－2 /3＋5/9
④ 8/9+（1/4－1/9）+3/4
3. Find the greatest common divisor and minimum of each group of numbers in the following column Common multiples (4 points)
① 36 and 48 ② 18, 24 and 40 (only the lowest common multiple)
4. Text question (6 points)
① What is the difference between 5/9 and 7/18, plus 1/2?
② 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. Drawing questions (5 points)★
Design a pattern you like and draw it in the box below. Requires rotation or translation.
5. Application questions (27 points)★
1. A field, in which 1/4 is planted with potatoes, 1/3 with vegetables, and the rest with soybeans. What percentage of the land is planted with soybeans? (4 points)
2. There are 24 boys and 20 girls in the mathematics interest group. How many times more boys than girls? What fraction of the number of girls is the number of boys? (4 points)
3. The large bottle holds 3/5 kilogram of beverage, which is 1/8 kilogram more than the small bottle. How many kilograms of drinks can be contained in a large bottle and a small bottle? (4 points)
4. From a rectangular cardboard 40 cm long and 30 cm wide, cut off its four corners into squares with a side length of 5 cm, and then make a box without a lid. .
What is its volume in liters? (5 points)
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? (5 points)
6. Please use shading to express 1/2 of the graphics (at least 5 types) (5 points) Agree 2 | Comment