(Full score 140, examination time: 90 minutes)
First, think carefully and fill in correctly: (2 points for each question, ***40 points)
1.5.23t = () t () kg 0.75m2 = () cm2.
2. Fold the paper in the picture in half along the dotted line to make a cube. A of this cube is the letter () on the front.
3. There are more boys than girls in the sixth grade in a school, and girls are less than boys ()%.
4. If it is the simplest true fraction with the denominator of 18, the number of integers that A can take is ().
5. A three-digit number, the number on the decimal number is "1", which can be divisible by 2 and 5, is a multiple of 3, and the minimum number is ().
6. Three decimal places, accurate to 0.0 1, approximate to 8.00. The maximum quantity is () and the minimum quantity is ().
7. For a cylinder and a cone, the ratio of base radius is 1: 2, and the ratio of height is 2: 3. Their volume ratio is ().
8. The decimal point of a number is moved one place to the right and then three places to the left. The new number is 35.64 less than the original number, and the original number is ().
9. Saw the 20-meter-long steel bar into small pieces of equal length, * * * 9 times, each piece is () meters long. If it is sawed in two, it takes 1 minute, and it takes () minutes to sawn in nine.
10. Xiaoling is going to fry a dish with tomatoes and eggs. She spends 1.5 minutes washing and cutting tomatoes, 2.5 minutes washing and cutting onions, 2 minutes beating eggs, 2 minutes washing the pot, 1 minute heating the pot, 3 minutes heating the oil and 4 minutes frying. Xiaoling spent 65438+ on this dish.
1 1. Xiaoming bought a new bottle of toothpaste with a net volume of 54 cubic centimeters. The diameter of the circular outlet of toothpaste is 6 mm He brushes his teeth once in the morning and once in the evening, and the toothpaste squeezed out each time is about 20 mm long. This bottle of toothpaste is estimated to last () days.
12. As shown in the figure, there are three concentric semicircles with diameters of 2, 6 and 10, which are divided into 9 pieces by line segments. If each letter represents the area of this block and the same letter represents the same area, then (2a+b): c =. (π takes 3)
13. The output of a factory in March was 30% higher than that in February, 20% higher than that in 1 month, and ()% higher than that in March.
14. The lengths of the express train and the local train are 200m and 300m respectively. They travel in the same way. It takes 8 seconds for a person sitting in the local train to see the express train pass through his window, and it takes () seconds for a person sitting in the local train to see the local train pass through his window.
15. Let a and b represent two numbers respectively. If a*b=, such as 4*3=, then (1) 2 * (6 * 7) =; (2) If x*(6*7)= 109, then x=.
16. Different Chinese characters represent different numbers. The following addition formula is composed of the numbers 0-9, and the numbers 6, 4 and 0 have been filled in. Please complete the formula, so the sum of this formula is ().
17. A commodity is sold at a reduced price according to seasonal changes. If the price is reduced at the current price 10%, it will still make a profit 12 yuan. If the price is reduced by 10%, 24 yuan will lose money. The purchase price of this commodity is () yuan.
18. It takes 2 hours for the boat to go from A to B, and 3 hours for B to A. At present, it takes () hours for the raft to drift from A to B.
19.a work can be completed in 8 hours and 30 days per day, and b work can be completed in 22 days per day1hour. Party A takes a day off every six days and Party B takes a day off every five days. Now the two teams work together for eight hours every day. /kloc-After 0/3 days (including rest days), Party A will work alone for six hours every day, and it will take () days to complete the work.
20. At an early age, we practiced counting with our fingers. A child practices counting according to the rules shown in the picture. By the year 2006, the corresponding finger is (fill in the name of the finger, and the name of each finger is thumb, index finger, middle finger, ring finger and little finger in turn).
Second, compare repeatedly and choose carefully: (3 points for each small question *** 15 points)
1. Image combination imagination: A: ()
2. After deciphering the enemy's password, we already know that "banana, apple and pear" means "Wednesday's secret attack", "apple, sugarcane and peach" means "carrying out a secret plan" and "orange, banana and tomato" means "Wednesday's victory belongs to us", so "pear" means:
Secret Wednesday attack implementation plan
3. If the ratio of three internal angles of a triangle is 3∶3∶6 and the shortest side length is 10 cm, its area is ().
A) 100 cm2 B)50 cm2 C)25 cm2
4. On the map with the scale of 1: 3000000, the distance from A to B is measured to be 5.6 cm, and a car will complete the journey in two days according to the ratio of 3: 2, and the distance difference between the two days is () kilometers.
672(B) 1008(C)336(D) 1680
5. The following four numbers are all six digits, n is a natural number less than 10, s is 0, and the number divisible by 3 and 5 is ().
(A)NNNSNN(B)NSNSNS(C)NSSNSS(D)NSSNSN
Third, see the topic clearly and think skillfully: (***40 points)
1. Quick calculation: (each small question 1 point * * *1point)
( 1) (2) (3) (4) (5)4.646÷4.6= (6) 16×0.25×0.5=
(7) (8)
(9)2.004×730+2004×0.27= ( 10)
2. Calculate the following questions in a simple way: (4 points for each question ***20 points)
( 1) 1997× 1996 1996- 1996× 1997 1997
(2)
(3)
(4)
(5)
3. Solve the equation (5 points for each question, *** 10)
( 1) 10-(7-5x)= 2x+(5-3x)(2)
1
three
2
four
five
six
eight
12
nine
minute
mankind
three
six
1
2
four
five
seven
eight
nine
10
1 1
Step into life and solve problems: (5 points for each question, *** 10)
There are many problems in life related to mathematics. Can you solve these problems? I believe you can do it!
A group of students took part in the darts competition, and each student threw three darts. The numbers 4 and 1 on the palladium dart indicate the score of hitting the target area (as shown in the figure), and the miss score is 0. The picture on the right shows the score statistics of this competition. Fill in the blanks:
(1) All the students who participated in the darts competition got an average score of ();
(2) There are () people who miss the target with three darts;
(3) Only () people hit the target with one dart;
(4) Only two darts hit the target with () people;
(5) There are () people who hit the target with all three darts.
5. Cut the cylinder with a bottom radius of 2 cm and a height of 4 cm into several equal parts to form an approximate cuboid. Did the volume and surface area change during this cutting process? If there is no change, please explain why. If there is any change, please calculate the amount of increase or decrease. (π takes 3)
Verb (abbreviation of verb) Application questions: (5 points for each question, ***35 points)
1. A factory has a batch of coal. The original plan is to burn 0.25 tons per day, which can burn 100 days. In fact, it saves 20% coal every day than originally planned. How many days can it actually burn?
2. From city A to city B, it takes 6 hours for car A and 4 hours for car B. Now, two cars, A and B, start from two cities at the same time and drive relatively. When they met, a car traveled 96 kilometers. How far is the distance between a and b?
3. There is a road, team A needs 10 days, team B needs 12 days, and team C needs 15 days ... Now the three teams are being repaired together, but the middle team has been evacuated to another construction site, and it took six days to complete the road. When Team A withdraws, Team B and Team C will have to practice together for several days to finish.
4. Party A, Party B and Party C each get a box of peaches. Party A gets seven peaches, Party B gets five peaches, Party C gets the remaining half, and finally gets all peaches. How many peaches are there in this box?
5. Supermarkets provide the following benefits.
(1) One-time shopping does not exceed 100 yuan, and there is no discount.
(2) If the one-time shopping exceeds 100 yuan, but does not exceed 300 yuan, there is a 10% discount.
(3) Enjoy a 20% discount when shopping in 300 yuan at one time.
Two purchases were paid to 80 yuan, 252 yuan. How much should I pay for a one-time purchase?
6. As shown in the figure, ABCD is a parallelogram with AD=8cm, AB= 10cm, angle DAB=30 degrees, height CH=4cm, arcs BE and DF with AB and CD as radii respectively, and arcs DM and BN with AD and CB as radii respectively. What is the shadow area? (π takes 3)
7. A customs got an information that a transnational drug trafficking group smuggled drugs in several boxes of a batch of goods to China, and the drug boxes were marked with a mysterious number. After inspection, it is found that each box of this batch of goods has a four-digit number, and all the numbers are "0". So what numbers are used to mark the drugs hidden in the boxes?
Reference answer:
One: think hard.
1, 5 230 7500 2, D 3, 25 4, 5 5, 2 10 6, (a three-digit decimal) the maximum value is 8.004 and the minimum value is 7.995. 7, 1: 68, 36 9, 2 8 10,11,using a method 48 12, 35: 24 13. 49 42 16, 1503 17, 708 18, 12 19, 17 20, ring finger.
Two: Repeated comparison, careful choice
1、A 2、C 3、B 4、C 5、B
Three: See the topic clearly and think skillfully.
1: Fast calculation
( 1)8 (2)28.26 (3)2300 (4) 1 (5) 1.0 1
(6)2 (7)49 (8)50 (9)2004 ( 10)2
2. Simple calculation
( 1)0 (2) (3)4 15.25 (4) (5)885
3. Solve the equation:
( 1) (2)7
Four: 4: 1, 3 minutes 2, 8 people 3, 16 people 4, 10 5, 1 1.
5. Answer: The volume has not changed, but the surface area has increased by 16 cm2.
Five: application questions:
1, 125 days 240m3, 9 days 4,405. There are two possible answers: 3 16, or a box with three numbers of 288 6,2 square centimeters 7,4050 2025 6075.