Xiaoshengchu Mathematics Examination Paper (Beijing Normal University Edition)

First, think carefully and fill in the blanks (20 points)

1. The gross industrial and agricultural output value of our city in 200 1 year is 69580070000 yuan, which is pronounced as (), rounded to hundreds of millions and recorded as () hundred million yuan.

2. Saw the 3-meter-long wire into 4 sections, each section belongs to this wire, and each section is () meters long.

Xiaoming comes home from school at 5 pm and does his homework immediately. When he finished his homework, it was already half past five. Since he came home from school, the hour hand turned () degrees on the clock face, and the minute hand turned () degrees on the clock face.

4.3.6 m = () cm 4500 kg = () ton

3 hours and 45 minutes = () 540 square meters = () hectares.

The rule of this column number you filled in is ().

5. Fill in the numbers in the following () to make this column have certain regularity.

3、5、7、( )、( )、( ); The rule of the number you fill in is ().

6.( )÷20= =0.4=( )%=2:( )

7. bright primary school gave students a unified number, with the mantissa 1 set to boys and 0 set to girls. 99 135 10 means "No.5 1999 in Class 3, Grade 1 is a girl", so 973 104658.

8. Make a rectangle with six squares with a side length of 2 cm. The circumference of a rectangle may be () cm, and the area at this time is () cm 2.

9. The bottom areas of a cylinder and a cone are equal, and the height of the cylinder is a cone. If the volume of the cone is 24 cubic centimeters, then the volume of the cylinder is (). A rectangle has at most () equal sides.

10. Xiaodong's home is 2.5 kilometers away from the school, Xiaoming's home is a small owner, Xiaodong and Xiaoming are () kilometers away from each other, and () kilometers away from each other recently.

Two, repeated comparison, careful choice (choose the serial number of the correct answer in brackets, 6 points)

1. If a÷b=7, then the following statement is correct ().

①a is a multiple of b; ②a can be divisible by B; ③a is 7 times that of B; ④ The greatest common divisor of A and B is 7.

2. China won the right to host the 2008 Olympic Games, and this year is ().

① Normal year ② Leap year ③ It is neither a normal year nor a leap year.

3. A parallelogram row, the lengths of two adjacent sides are 5cm and 4cm respectively, and the height of one side is 4.8cm The area of this parallelogram is ().

①24 square meters ② 19.2 square centimeters ③ Neither of the above two answers is correct ④ Neither of the above two answers is correct.

4. The municipal government should build a rectangular square with a length of 600 meters and a width of 400 meters, and draw it on rectangular paper with a length of 20 cm and a width of 16 cm. Which of the following scales is more suitable for ()?

① 1:2500 ② 1:3000 ③ 1:4000 ④ 1:4000000

Party A and Party B have two ropes with the same length. If A cuts rice and B cuts rice, then the remaining rope length is ().

① A is longer than B; ② A is shorter than B; 3 equal; 4 incomparable.

6. If everyone walks at the same speed and it takes three days for six people to walk from A to B together, then 12 people will walk from A to B together for () days.

①3 days ② 1.5 days ③6 days

Three, careful deliberation, careful analysis (6 points)

1. If xy = k+, when k is constant, X and Y are out of proportion. ( )

2. For two true fractions with the same molecule, the fraction with larger fraction unit is larger. ( )

3. The ratio of circumference to diameter of a big circle is greater than that of a small circle. ( )

4. The solution of equation 2x= 14 is the same as that of equation 27-2x = 13. ( )

After drawing several straight lines on a piece of paper, it is found that everything that is not parallel will inevitably intersect. ( )

6. Add 5g sugar10g water to the sugar water with sugar content of 50%. At this time, the sugar content of sugar water remains unchanged. ( )

Fourth, careful, SJ (26 points)

1. Write directly. (4 points)

0.38+ 1.2= × = 1÷ = 4.8÷0.8=

64+36= 17×5= 0.92= - × =

2. calculation. (Simplify if you can, 12 points)

349× 10 1-349 306×35-4080÷24 7.09-2.88-3. 12

(0.25+ 1 1.5÷4.6)×3.4 5 - ×2- ÷ ( - )÷( × )

3. Find the unknown X. (4 points)

= 7x+ 12× =20

4. List comprehensive formulas or equations. (6 points)

① How much is the sum of 1 0 more than1? 20% of a number is 2.4 more than 20. What's this number?

Five, hands-on operation (6 points)

1. In the block diagram below, draw three figures with the same area as the known trapezoid but different shapes.

2. The picture below is a plan of a rectangular grassland, with a length of meters and a width of meters, which is drawn according to the specified scale, but the marked distance is wrong. Please make the necessary calculations by measurement, and then draw the correct numbers below.

Six, the use of knowledge to solve problems (36 points)

1. The following questions are only listed and not calculated. (6 points)

(1) A cylindrical can with a height of 3 decimeters and a bottom radius of 0.8 decimeters is covered with trademark paper. What is the area of the trademark paper?

(2) The school assigned a number of tree planting tasks to the fourth, fifth and sixth grades according to 3: 4: 5, and planted 40 trees in the fifth grade. How many trees are there in this batch?

(3) Grade 5 boys 120, more than girls. How many girls are there in the fifth grade?

2. The following table is the statistics of monthly fertilizer output of Xinqiao Chemical Fertilizer Plant in the second half of last year:

The total month is 78910112.

Output (ton) 2000 2300 2500 2700 2500 300

(1) The total number is completed. How many tons of chemical fertilizer did the factory produce on average every month in the second half of last year? (2 points)

(2) Compared with the third quarter, how much has the output increased in the fourth quarter? (2 points)

Xiao Qiang is a super basketball fan. Whenever someone asks about his height, he always proudly says, "Little giant Yao Ming is 2.22 meters tall, and my height is 0.4 meters higher than his. Now you should know my height? " What is Xiao Qiang's height? (5 points)

4. A car travels for 4 hours 104 km. According to this calculation, it takes 6 hours to get from A to B. How many kilometers is there between A and B? (Proportional solution) (5 points)

5. There is an approximate conical sand pile on the construction site, with a bottom circumference of 9.42 meters and a height of about 2 meters. If each cubic meter of sand weighs 2 tons, how many tons does this pile of sand weigh? (5 points)

6. The annual interest rate of bank deposits is 2.25%, and the interest tax is deducted at the rate of 20%. Xiaohong has 500 yuan lucky money. How much principal and interest can she get if she keeps it in the bank for two years? (5 points)

7. Xiaohong is a small fan of statistics. After counting the number of people in Class 5/kloc-0 and Class 52, he told his father, "The number of people in our two classes is exactly the same. Boys in class 5/kloc-0 are 20% less than girls in class 52. The ratio of boys in class 52 to girls in class 5/kloc-0 is 5: 7, and there are 30 girls in class 5/kloc-0. Do you know how many students there are in these two classes? " Can you help Xiaohong's father calculate the total number of students in these two classes? (6 points)