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At the end of mathematical culture
2010-6-2511:51qwer22uiop123 | secondary level

I. Fill in the blanks (20 points) ★★

1 7020 square decimeter = () square meter

2, 4.5 hours = () hours () minutes

The divisor of 3 and 48 is (), and the prime factor of decomposition 48 is ().

4. The unit of score is 1/7. The maximum true score is (), and the minimum false score is ().

5. The numerator of the simplest fraction is the smallest prime number, the denominator is the composite number, and the maximum fraction is (). Add the decimal unit like () and you get 1.

6. Cut a cuboid whose length, width and height are 8 decimeters, 5 decimeters and 10 decimeter respectively into two small cuboids, and the maximum sum of the surface areas of these two small cuboids is () square decimeter.

7. 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 ().

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. When the side length of a cube is enlarged by 2 times, its surface area is enlarged by () times and its volume is enlarged by () times.

Compared with 5/ 10, 4/9 and 5/ 1 1, () has a larger decimal unit and a larger fractional value.

1 1, a 96 cm long wire can be welded into a rectangular frame. The frame is10cm long, 6cm wide and () cm high.

The quotient of 12 and 825÷3 is (), which is () digits.

Second, multiple-choice questions (fill in the serial number of the correct answer in brackets) (20 points) ★

1, in the following formulas, 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, () can be reduced to a finite score.

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 the least common multiple of A2A and B, A3A is divisible by B, and A contains a divisor of 5.

5. Add100g salt into100g water. At this time, salt accounts for () of salt water.

① 1/9 ② 1/ 10 ③ 1/ 1 1

6. A > B(B >; is known; 0), and then compare 2/a with 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. The second quarter of this year is () days.

① 90 ② 9 1 ③ 92 ④ 29

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 bamboo pole with a length of 10 meter, first cut 1/2 meter, then cut 1/2 meter, then there is ().

① 5m ② 9/2m ③ 0m

Three. Calculation problem (28 points) ★

1. Find the surface area and volume of a cuboid (unit: decimeter) (6 minutes).

a = 8 b = 5 h = 4

2, off-type calculation (can be simplified) (12 points)

① 6/7+2/ 15+ 1/7+ 13/ 15

② 19/2 1+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 the least common multiple of the following groups (4 points).

① 36 and 48 ② 18, 24 and 40 (least common multiple only)

4, text questions (6 points)

① The difference between 5/9 and 7/ 18, plus 1/2, what is the result?

② Subtract the difference between 7/ 15 and 7/30 with a number, and the result is 2/3. What's this number? (Equation solving)

Four, drawing questions (5 points) ★

Design a pattern you like and draw it in the box below. Need to rotate or translate.

Verb (abbreviation of verb) Application problem (27 points) ★

1, a field, including 1/4 kinds of sweet potatoes, 1/3 kinds of vegetables, and the rest kinds of soybeans. What is the proportion of soybeans planted in this land? (4 points)

2. There are 24 boys and 20 girls in the math interest group. How many times are there more boys than girls? What is the percentage of boys to girls? (4 points)

3. Large bottles of 3/5 kg of drinks are 1/8 kg more than small bottles. How many kilograms of drinks can a large bottle and a small bottle hold? (4 points)

A rectangular cardboard with a length of 40 cm and a width of 30 cm, cut its four corners into a square with a side length of 5 cm, and then make a box without a cover. How many liters is its volume? (5 points)

5. A car travels192km in the first 3 hours and 58km/h in the last 2 hours. What is the average speed of this car? (5 points)

6. Please use shading to represent 1/2 graphics (at least 5 kinds) (5 points) Agree with 2| Comments.