Guangdong classical mathematics quiz

Fill in the blanks. (18)

1, the largest number in billions, the smallest composite number in tens of millions, the smallest prime number in thousands, and the rest are 0. This number is (), rounded to hundreds of millions, and recorded as () billion.

2.6: The ratio of1.8 to the simplest integer is (), and the ratio is ().

3, 3 hours = () minutes 8.06 cubic meters = () liters.

4. A pile of 6 tons of chemical fertilizer is distributed to three production teams of A, B and Inner Mongolia according to the ratio of 1:3:4. Team A gets (-) tons of fertilizer, and team B gets (-) tons.

The distance between Party A and Party B is 35km, and the length drawn on the map is 7cm. The scale of this map is ().

The least common multiple of 6, 24 and 54 is (), and the greatest common divisor is ().

7. The sixth grade students carried out tree planting activities, 80 trees survived and 5 trees did not survive. The survival rate is the highest ().

8. The length of the rope is equal to its own length plus meters. This rope is () meters long.

9. The sum of the sides of a cube is 48 cm, its surface area is () square cm, and its volume is () cubic cm.

10, a job, Party A can complete it in two days alone. According to this calculation, the remaining work will take () days to complete.

1 1. If the height of the cylinder is shortened by 3cm, the surface area will be reduced by 94.2cm2. Its bottom radius is () cm, and its volume will be reduced by () cm3.

Second, judge. (Mark "√" for the right and "×" for the wrong) (4 points)

1, a symmetric graph with two parallelograms. ( )

2. If x × = y×, then x: y =:. ( )

3.A number can be divisible by B number, and B number must be the greatest common divisor of A number and B number. ( )

4. The working hours are fixed, and the time for manufacturing each part is directly proportional to the number of parts. ( )

Third, choose. (Fill in the serial number of the correct answer in brackets) (3 points)

1 and 3.496 keep two decimal places, which is about ().

①3.49 ②4.00 ③3.50

2. Typing a manuscript takes 5 minutes for Party A and 8 minutes for Party B. The simplest ratio of work efficiency between Party A and Party B is (). ①5:8 ②8:5 ③ :

3. Among the following fractions, the one that cannot be converted into a finite fraction is ().

① ② ③ ④

Fourth, calculation. (10+9+ 15+6 = 40 points)

1, a number written directly.

5.4+8= 9-2 = 9÷ 3 × 18=

3.75+ 1 = 2 ÷4= 9.625- = 1 × 1.5=

( 1- 1.2÷ 1 )÷

2. Solve the equation.

① 12-4x = 2②38:x = 4.75: 1③x+x = 1.4

3. Calculate with recursive equation.

①308× 16- 14874÷37 ②(3 + -2 )× 1

③3.5÷ × ④0.8×2.7+7.3÷ 1

⑤9.8÷[28×( 1- )+5 ]

4. Column calculation.

(1) A number plus 2.8 equals 12.8. Find this number.

② What is the sum of12% plus 1.25 divided by 80?

5. The following is a statistical chart of the number of boys and girls in the sixth grade of Hongqi Primary School. ( 1+2+2=5)

1. It is known that there are 49 people in Class 6 (1). Please complete the above statistics.

2. The total number of boys is less than that of girls ()%.

There are three classes in grade six, with an average of () students in each class.

Sixth, the application problem. (5×6=30)

1, a truck and a bus leave from two places 504 kilometers apart at the same time and meet after 4.5 hours. The bus travels 64 kilometers per hour, and how many kilometers does the truck travel per hour?

A washing machine factory plans to produce 504 washing machines in May. In fact, it was completed 5/9 in the first half of the year and 2/3 in the second half. How many washing machines did it actually produce this month?

3. Party A completes a project in 8 days, and Party B 12 days ... Now after three days, Party A will do the rest alone. How many days will it take to complete?

There are 40 more peach trees than apricot trees in the orchard, and the number of apricot trees is 80% of peach trees. How many peach trees are there?

5. Conical sand pile with a bottom area of 3.6 square meters and a height of 1.2 meters. How high can you put this pile of sand in a bunker 2 meters long 1.5 meters wide?

6. The ratio of male to female students who participated in the math contest in a school was 6:5, and then five girls were added. At this time, the number of girls is 8/9 of the number of boys. How many girls took part in the math contest?

Fill in the blanks

1, 2065 10000 is () in "ten thousand", rounded to "one hundred million".

2. The smallest number that can be divisible by 15 and 18 at the same time is (), which is called () of these two numbers.

3. For triangles and parallelograms with equal bases and equal heights, the area of triangles is 25m2, so the area of parallelograms is ().

4.A number is 25% of B number, and B number is () of A number.

5. The largest six-digit number consisting of three "0s" and three "6s" is (), which is pronounced as ().

Numbers that read only one zero are () and ().

6, a fraction, the numerator is smaller than the denominator 18, after the divisor. It turns out that this score is ().

7. There were * * () days in the first quarter of 2008 and * * () days in 2 100.

8、0.875=( ):40= =2 1÷( )=( )%

9, three consecutive even numbers, the middle number is m, then the two adjacent numbers are () and () respectively.

10. In a proportion, two internal terms are reciprocal, one is the smallest prime number and the other is ().

1 1, A× 3 = B×, then A: B = (): (), if 4x = Y, then the relationship between x and y is ().

12,, 33.3%, 0. ">" connection,, is ().

Second, the judgment question.

1 and coprime may not be prime numbers. ( )

2. The approximation of two numbers must be less than either of them. ( )

3. If A is divisible by B, then A is a multiple and B is a divisor. ( )

The price of a commodity will increase by 20% first, then decrease by 20%, and the price will remain unchanged. ( )

5. An angle less than180 is called an obtuse angle. ( )

6. The false score is greater than 1. ( )

7. If A is greater than B and B is less than A .. ()

8. The radius of a circle is half its diameter. ( )

9. Axisymmetric graphics are folded in half along any straight line, and the two parts can overlap. ( )

Third, multiple choice questions

1, a fractional molecule is enlarged by 6 times, and the denominator () and fractional value will decrease.

A, expand 8 times b, shrink 8 times c, shrink d, expand.

The prime factor of 2, 50 decomposition can be written as ()

a、50= 1×2×5×5 B、2×5×5 = 50°C、50=2×5×5 D、50=2×25

3. A gear with a diameter of 48cm drives a gear with a diameter of 26cm (meshing with each other). If the big gear turns 12 turn, the small gear turns () turn.

a、24 B、 16 C、 12 D、9、

4. The simplest fraction with denominator of 9 is ().

a、8 B、6 C、9

The highest rank of the quotient of 5.7.56 ÷ 0.85 is ().

A, unit B, tenth C, tenth D, percentile

Fourth, the calculation problem

1, the number is written directly.

0.5÷0.0 1= 42× 10%= 2.9+7. 1=

0÷ 1 = × + = 1-0.025÷ =

1- -0.25= 100 1×99-99= 1.25× 1.5×8=

2. Off-mold calculation can be simplified.

×〔 ÷( - )〕 3 ×3 +3.4×6.625

1 ×7.3×5 + 1 ×7.3×2 ( + )÷

2005× 2004 ÷4

3. find the unknown X.

= (4-x)×2=8

0.4x+3×0.4=30× : =:

4, column calculation

& lt 1 & gt； How much is the 5 in 120 more than that in 120?

& lt2> The sum of a number is 1 less than the maximum two digits. What's this number?

5. Look at the statistics to answer the following questions. The following table is the statistics of students of all grades in a school in 2007.

First, second, third, fourth, fifth and sixth grades.

Number of people: 200 205 245160174178

& lt 1 & gt； Make a bar chart

& lt2> What percentage of the total number of students in the fifth grade accounts for the whole school?

& lt3> What percentage is the most populous grade more than the least populous grade?

& lt4> What is the average score of the whole school?

& lt5> Look at the picture and find the degree of ∠ 1 ∠2.

1, the radius of the circle is equal to the radius of the sector. It is known that the area of a circle is 30 square centimeters and the central angle of a sector is 36o. Find the area of the sector.

2. For a project, Party A will do it for 2 days and Party B will do it for 3 days. If the whole project is completed, Party A will do it for 3 days. If the rest of the projects are completed, Party B will do it last. How many days does it take Party B to finish this work?

A motorcade carrying a batch of relief materials was originally planned to travel at a speed of 40 kilometers per hour and arrive at the disaster area after 7.5 hours. Actually, it is 10 km per hour, so how many hours did it take to reach the disaster area?

4. Make a cylindrical water tank without a cover with iron sheet. The bottom is 20 cm in diameter and 24 cm in height. How many square decimetres of iron do you need to make this water tank? What is the volume of this water tank?

Responder: shining star11-trainee magician level 2 6-117: 38.