Small Bai Ou Xiaoshengchu Mathematics Examination Paper

Sixth grade mathematics entrance simulation test paper

(in 120)

First, think carefully and sit in the right position (20 points, 65438+ 0 points per grid)

1, 3∶( )= ()20 =24÷( )=( )%= 60%.

2. At present, the total area of China and Hongkong is1052 million square meters, which is rewritten as () square meters, and the mantissa after omitting "100000" is about () square meters.

3.a and B are two adjacent nonzero natural numbers. Their greatest common divisor is () and their least common multiple is ().

4. If = y, then X and Y are proportional (); If = y, then x and y are proportional to ().

5.A number is 150, B number is more than A number 15%, C number is less than B number by 20%, and C number is ().

6. The scale of a precision part drawing is 5: 1, the length of a part measured on the drawing is 25mm, and the actual length of the part is ().

7. In the case that the market is in short supply, the price of antiviral drugs operated by a pharmacy has increased by 100%. According to the investigation by the price department, the price increase is limited to 10% of the original price, so the drug needs to be reduced by ()% now.

8. When a circle is enlarged, its area is eight times that of the original, and its circumference is 50.24 cm more than that of the original. The original area of this circle is () square centimeters.

9. It takes 1.2 yuan to saw a piece of wood into four sections, and () yuan if it is sawed into 12 sections.

10, two cylinders and cones have the same height, the ratio of bottom radius is 1: 2, and their volume ratio is ().

1 1, 6 kg after subtracting 13 kg is () kg, and 6 kg after subtracting 13 is () kg.

12, as shown in the figure, in the parallelogram, the area of a.

It's 36 square centimeters, and the area of B is 63 square centimeters.

M, then the area of C is () square centimeters.

13. Make a cuboid with eight cubes of length 1 cm, where the difference between the maximum surface area and the minimum surface area is () square cm.

Second, compare repeatedly and choose the best. ( 10%)

1, a rope is divided into two sections, the first section is meters long, and the second section occupies the whole length. Compare the length of two pieces of rope is ().

A, the first paragraph length b, the second paragraph length c and the same length d are not comparable.

2. The numerator and denominator of a true fraction add the same non-zero natural number at the same time, and the score value obtained must be ().

A is equal to the original score b, greater than the original score c and less than the original score d, which is uncertain.

3.a, B and C are three nonzero natural numbers. In a = b× c, the statement that can be established is ().

A, b and c are prime numbers, and b, b and c are all prime factors of a.

C, b and c are all divisors of a, and d and b must be multiples of C.

4. Cut a piece of cylindrical wood into a cone with the largest volume, and the volume of the cut part is the volume of the cone ().

A, B, three times, C, D, twice.

5, 3 1 ÷ 7 = 4 ...3. If the dividend and divisor are expanded by 10 times, then its result is ().

A, quotient 4 3 B, quotient 40 3 C, quotient 4 30 D, quotient 40 3.

6. When four cylinders of the same size are assembled into a large cylinder with a height of 40 cm, the surface area is reduced by 72 square centimeters, and the original volume of the small cylinder is () cubic centimeters.

a、 120 B、360 C、480 D、720

7. Put a cube with a length of 1cm into a cuboid with a bottom area of 12cm2 and a height of 2cm, and () different shapes can be put into it.

A, 1 B, 2 C, 3 D and 4.

8. When x is (), the value of 3x+ 1 must be odd.

A, prime number b, composite number c, odd number d, even number

9. Just look at one corner of a triangle and () judge what triangle it is.

A, can b, can't c, not necessarily can d, definitely can't.

10. With the increasingly fierce competition in the communication market, the local telephone tariff of a communication company was reduced by one yuan per minute according to the original standard, and then reduced by 25%. The current charging standard is B yuan per minute, while the original charging standard is () yuan per minute.

a、b-a B、b+a C、b+a D、b+a

Third, see the topic clearly and think skillfully.

(1) Direct write alignment is fast (8%)

5.7+ 1 1.8+4.3= 2 - + = ( + )×24= 0.3 -0.2 =

33×98+66= 10. 1×99-9.9= 4 -( +0.5)= ( )∶ =

(2) Clever calculation (write simple calculation process) (12%)

2005× ( + )×5×7 999 +99 +9 +

(3) It is no problem for me to solve the equation (9%)

X:25 = 5X-5×= 0.8 X 8-4.5+5.5 = 10

Fourth, comic world, exploring and innovating (1 1%)

(1) Draw accurately: The following is an L-shaped diagram composed of small squares. Please draw a small square in the picture below in three different ways to make it an axisymmetric figure (6%).

(2) There is an electric toy with an 8.28×5. 14 rectangular disk (unit: cm) and a small disk with a radius of 1 cm (with a baby face painted on it). Their connection points are a and e (pictured). If the small disk follows the inner wall of the rectangle, it starts from point A and finally rolls (does not slide). How many times did the small disc turn? (5%)

Step into life and solve problems.

1, column calculation (6%)

(1) Add 1.2 to the product of 1.8 and 4, and (2) subtract 15% from a number to get 5. 1.

Divided by 0.4, what is the quotient? What's this number?

Xiaoming spent eight days reading a book, and he read two more pages every day. How many pages are there in this book? (5%)

3. A person rides a bicycle from the county seat to the township to set up a factory. He started from the county seat by bike and completed half the journey in 30 minutes. At this time, he sped up, driving 50 meters more every minute than before. After riding for another 20 minutes, he knew from the mileage card on the roadside that he had to ride another 2 kilometers to set up a factory in the township, and asked for the total distance from the county to the township. (6%)

It takes 24 days for Team A to complete a project alone, and 30 days for Team B.. Now team A and team B have cooperated for four days, and team C has joined in, and the whole project has been completed in seven days. If three teams work together at the beginning, how many days can the whole project be completed? (6%)

5. A cylindrical glass with a bottom circumference of 3. 1.4 decimeter contains some water, which just takes up the capacity of the glass. Put two eggs of the same size in a cup and immerse them in water. At this time, the water level rose by 8 cm, just flush with the glass mouth, and the volume of the glass was found. (6%)

6. There are two baskets of apples. The unit price ratio of big apples and small apples is 5: 4 and the weight ratio is 2: 3. Mix two baskets of apples together to form a mixed apple, with a unit price of 100 kg and 4.4 yuan per kg. What was the original unit price of two baskets of apples? (7%)

7. The width and height of a cuboid are equal, both equal to half the length (as shown in the figure). Cut this cuboid into 12 small cuboids, and the sum of the surface areas of these small cuboids is 600 square decimeters. Find the volume of this big cuboid. (7%)

8. A workshop worker 180 and B workshop worker 120 in a factory. Now 50 workers are transferred from two workshops to support the new factory. Due to the increase in workload, the wages of surplus workers are increased by 20% per person per day. Due to different types of work, the wages of workers in Workshop A are 60 yuan and those in Workshop B are 48 yuan. It is understood that the total wages paid by the factory every day are the same as before. (7%)

answer

1. 1, 5, 12, 40,602, 1 0.52 million,1/0.03 million,1,ab 4, plus or minus.

5， 138 6，5mm 7，45 8，50.24 9，4.4 10，3: 4。

1 1、5 ,4 12、27 13、 10

2.B，B，C，D，C，A，C，D，C，C。

Three. 2 1.8 2 7 0.05 3300 990 3.5

2003 17 1 1 10

X= 10 X= X=72

Verb (abbreviation of verb)1,0.4 ÷ (1.2+1.8× 4) = 5.1÷ (1-15%.

2.2× 8 ÷ (1-× 8) = 144 (page 1)

3.(20× 50+2000) ÷ (30-20) = 300 (meters)

300× 30+(300+50 )× 20+2000 =18000 (m)