Sixth grade entrance examination questions, Chinese and mathematics. 2011, People's Education Press
1. Fill in the blanks. (14 points, of which questions 2 and 3 are 2 points each, and the remaining questions are 1 point each)
1. The tens of millions place is 9, the thousands place is 8, and the hundreds place is is 7, and the rest are 0. This number is written as ( ) and read as ( ).
2. 1 hour and 30 minutes = ( ) hour 3.05 liters = ( ) milliliter
230 square decimeters = ( ) square meters 4.03 meters = ( ) meters ( ) centimeters
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3. 0.8 = =( ):40 = =( )% = ( ) into
4. A rope 3 meters long is divided into 5 equal sections, each section is ( ) meters long , each paragraph occupies the full length ( ).
5. The sum of all the simplest proper fractions whose fraction unit is is ( ).
6. If 7a=8b, then a:b=( ):（ ）.
7. The perimeter of a rectangle is 40 cm, and the ratio of length to width is 3:2. Then the area of the rectangle is ( ) square centimeters.
8. Cut a cube of wood with an edge length of 2 decimeters into the largest cylinder. The volume of this cylinder is ( ) cubic decimeters.
9. Xiao Ming went to buy book b for a yuan each. He paid 100 yuan and should get ( ) yuan back.
10. 1 meter is ( )% longer than 80 cm, and 4 tons is 20% shorter than ( ) tons.
11. Put 5 balls each of red, white, yellow and blue into a bag. Take at least ( ) balls to ensure that you get two balls of the same color.
12. There are several chickens and rabbits in the cage. Counting from the top, there are 8 heads, and counting from the bottom, there are 26 legs. There are ( ) chickens and ( ) rabbits.
2. Judgment. (5 points)
1. The volume of the cone is the volume of the cylinder. （ ）
2. Add or remove 0 at the end of the decimal point, and the size of the decimal remains unchanged. ( )
3. A circle with a radius of 2 decimeters has the same circumference and area. （ ）
4. Number A is 20% more than number B, and number B is 20% less than number A. （ ）
5. The area of a triangle is constant, and the base and height are inversely proportional. （ ）
3. Choice. (5 points)
1. 10 grams of salt is dissolved in 100 grams of water. The ratio of salt to salt water is ( ).
A. 1:10 B. 1:11 C. 9:10
2. Use a 100 cm long wire to form the following shapes. The largest area is ( ) .
A. Circle B. Square C. Rectangle
3. A rectangular playground is 100 meters long and 50 meters wide. Draw a floor plan in a student exercise book. It is more appropriate. The scale is ( ).
A. 1:100 B. 1:1000 C. 1:10000
4. There are two ropes of the same length. The first one is cut off, and the second one is cut off. meters, compare the remaining parts of the two ropes ( ).
A. The first length is B, the second length is C. Cannot be compared
5. A company held a meeting, 25 people were absent, and 100 people attended. The attendance of this meeting The rate is ( ).
A. 80% B. 75% C. 100%
4. Calculation. (30 points)
1. Write the number directly. (6 points)
1.57+3.03 = 13.7-5.6 = 7.5÷0.1 =
0.25×8 = ×12 = ÷ =
× = - = 10- - =
+ = 500-399 = 12×(+)=
2. Solve equations or solve proportions. (6 points)
4x-0.5 = 27.5 9:x = ：
3. Calculate the equation. (12 points)
4. Use simple methods to calculate.
(6 points)
10.25＋5.89＋0.75＋4.11 ÷8＋ ×
5. Hands-on operation. (12 points)
1. Draw a picture as required. (6 points, 2 points for each question)
(1) Draw figure B after triangle A is translated 5 spaces to the right.
(2) Draw figure C after triangle B is rotated 90 degrees counterclockwise around point O.
(3) Draw the shape D of triangle A enlarged at 2:1.
2. According to the following statement, mark the location of each place in the picture below. (6 points, 2 points for each question)
(1) The bookstore is 45 degrees east-south of the central square, and the distance is 2km.
(2) The school is 60 degrees north-west of the central square, and the distance is 1.5km.
(3) Kentucky Chicken is located due north of the central square, the distance is 2.5km.
6. Solve problems. (34 points)
1. Just list the expressions or equations, no calculations required. (5 points, 1 point for the first question, 2 points each for the second and third questions)
(1) There are 420 boys in Jiaoli Primary School. There are more girls than boys. How many boys are less than girls? ?
(2) There are 420 boys in Jiaoli Primary School, and there are more girls than boys. How many girls are there?
(3) There are 420 boys in Jiaoli Primary School. There are more boys than girls. How many girls are there?
2. Column solution. (29 points)
(1) A refrigerator originally cost 2,500 yuan, but now it sells for 2,450 yuan each. By what percentage is the current price lower than the original price? (4 points)
(2) The engineering team built a road. The entire length was built in the first week, and 60 meters were built in the second week, leaving 340 meters. , how many meters long is this road? (4 points)
(3) A conical iron block has a base radius of 3 cm and a height of 5 cm. If iron weighs 7.8 grams per cubic centimeter, how many grams does this iron block weigh? (4 points)< /p>
(4) Hope Primary School renovates multimedia classrooms. It is planned to pave the floor with glazed square tiles with a side length of 30 cm. 900 tiles are needed. How many tiles are actually needed to pave the floor with square marble tiles with a side length of 50 cm? (Use proportion knowledge to answer) (4 points)
(5) Build a 1-meter-wide circular path beside a circular flower bed with a radius of 4 meters. What is the area of this path in square meters? (4 points)
(6) The following are the flight time and altitude records of two model aircraft produced by the aircraft model team in one flight. (4 points)
① Plane A flew for ( ) seconds, and plane B flew for ( ) seconds. The flight time of plane A was longer than that of plane B. (2.5 points)
② From the picture, the altitude of plane B at 10 seconds after takeoff is ( ) meters. At ( ) second after takeoff, the two planes are at the same altitude. About ( ) second after takeoff The height difference between the two planes is the largest. (1.5 points)
(7) There are 120 teachers and students in the sixth grade of a school going to visit the Museum of Natural History. A transportation company has two vehicles to choose from:
A. Seating limit The fare for a 50-passenger bus is 5 yuan per person, and if it is full, the fare is 20% off;
B. The minibus can only seat 10 people, and the fare is 6 yuan per person, and if it is full, the fare is 6 yuan. The price can be discounted by 75%.
Please design the most economical car rental plan for sixth grade teachers and students based on the above information, and calculate the total rent. (5 points)
Comprehensive exercises on primary school Chinese idioms
4. Please fill in eight idioms with the word "一" horizontally according to the different positions of the word "一" in the table below .
一
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一
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__Six___Shen Wuzhu__Seven___Odd and Eight Fall___Eight__Exquisite Face__Nine___Xiaoyunwai__Ten___All Perfect
Animal Idioms
21. Try to fill in the idioms composed of the following animal names.
Group A: ____ ____ ____ Snake____ ____ ____ Frog____ ____ ____ Deer____ ____ ____ Cattle____ ____ ____ Dog
____ ____ ____ Tiger____ ____ ____ Eagle ____ ____ ____ Raccoon ____ ____ ____ Horse____ ____ ____ Dragon
____ ____ ____ Rabbit____ ____ ____ Rat____ ____ ____ Monkey____ ____ ____ Sheep____ ____ ____ Chicken
____ ____ ____ Goose____ ____ ____ Turtle____ ____ ____ Elephant____ ____ ____ Eagle____ ____ ____ Bird
____ ____ ____ Leopard____ ____ ____ Cicada____ ____ ____ Phoenix____ ____ ____ Bird
Group B: ____ Crane____ ____ ____ Dog____ ____ ____ Fox____ ____ ____ Wolf____ ____ ____ pig____ ____ ____ horse ____ ____ ____ ox ____ ____ ____ tiger ____ ____
____ dragon ____ ____ ____ ape ____ ____ ____ rat ____ ____ ____ insect ____ ____ ____ ant_ ___ ____
____ moth____ ____ ____ cicada____ ____ ____ turtle ____ ____ ____ fish ____ ____ ____ cat ____ ____
____ donkey ____ ____ ____ leopard ____ ____ ____ bird ____ ____ ____ bird ____ ____
22. Fill in the name of an animal in the brackets below to form an idiom.
Make a bath ( ) and wear a crown for (tiger) to make a painting (snake) to add to the charm ( ) Li Bingfeng ( ) a long snake climbs (a dragon) and a phoenix cat ( ) sleeps together
< p>Shu ( ) barks at the sun and is cunning (rabbit) smells in three caves (chicken) dances to death (lock) mends () mouth for the rest of his life (dog) jumps over the wall (dragon) flying phoenix(sheep) Intestinal bird passage ( ) suddenly wolf runs ( ) ji is in the same trough ( ) flies from black to dark (horse) to success (rat) short-sighted (chicken) trivial
23 The dragon is a mythical animal in ancient legends, symbolizing good luck, nobility and longevity.