Class Name Student Number ()
First, multiple-choice questions (fill in the serial number of the correct answer in brackets after the question, 3 points for each small question, * * * 30 points)
The decimal point of the number 1. moves three places to the right, and then moves one place to the left to get the original number ().
① magnification 100 times; ② Reduced by 100 times; ③ Magnification 10 times; ④ It is reduced by 10 times.
2. It is known that a× 23 = a×23 =b× 135 =c÷23, and a, b and c are not equal to 0, then the smallest number among a, b and c is ().
1a2b3c4 has no answer.
3. In the integer division formula with remainder, the divisor is B, the quotient is C, (both B and C are not 0), and the largest dividend is ().
①BC+b②BC- 1③BC+b- 1④BC+ 1
4. Add 6 grams of salt 14 grams of water to the salt water with a salt content of 30%. At this point, the percentage of salt in the brine is ().
① equal to 30%; ② Less than 30%; ③ More than 30%; 4 there is no answer.
Xiaohua wants to help her mother do the following things on weekends: it takes 20 minutes to wash clothes with a washing machine; It takes 6 minutes to sweep the floor; wipe the furniture
It takes 10 minutes; It takes five minutes to dry the clothes. After reasonable arrangement, it will take her at least () minutes to finish these things.
① 4 1 ② 25 ③ 26 ④ 2 1
6. Cut off a sector with a central angle of 45 degrees on the circle, and the area of the remaining part is () times that of the cut-off part.
① ② 8 ③ 7 ④ 4
7. To reflect the monthly output of chemical fertilizer plant in the second half of 2004, it is best to choose ().
① Histogram ② Line chart ③ Fan chart ④ None of the above answers are correct.
8. For a rectangle with a circumference of 20 meters, if the length and width are increased by 5 meters, the circumference will increase ().
① 10m ② 20m ③ 30m ④ 40m
9. If a×b=0, then ().
1A = 02B = 03A and B are both 04A and at least one of them is 0.
10. Two iron wires with the same length of 8m, cut 3/8 from the first one and 3/8 from the second one. The rest ().
① It is impossible to compare ② The first root length ③ The second root length ④ The length is equal.
Fill in the blanks: (3 points for each small question, * * * 30 points)
1. The number of () rewritten as "ten thousand" is 95.678 million, and the mantissa after omitting "hundred million" is about ().
2. In (natural number), if it is a true fraction, the maximum energy is; If it is a false score, the minimum is; If it is equal to 0, it can only be.
3. Change 0.35%: 1 into the simplest integer ratio, and the ratio is;
4. Name a cube and a cylinder in life.
5. A triangular plate with a right angle rotates around the right angle to obtain a shape;
6. Saw the 5-meter-long steel bar into small pieces with the same length, and saw for 6 times, each piece is () meters long. If you saw it in half in 2 minutes, it would take () minutes in 6 minutes.
7. In the formula □ and△ each represent a number. Known: (△+□)×0.3=4.2, □÷0.4= 12. Then, △ = (), □ = ().
8.A = 2× 3× m, B = 3× 5× m (m is a natural number, m≠0). If the greatest common divisor of A and B is 2 1, then M is () and the least common multiple of A and B is ().
9. The average of three numbers A, B and C is 70, A: B = 2: 3, B: C = 4: 5, and B number ().
10. A ship sails from place A to place B at a speed of 30 kilometers per hour, and then returns the same way. If the average speed back and forth is 40 kilometers, you should sail () kilometers when you return.
Three. Calculation: (24 points)
1, calculated by a simple method. (Write a simple calculation process, with 3 points for each small question and 9 points for * * *).
① ( 1 15 +2 17 )× 15× 17 ② ③ 1000+999-998-997+996+995…+ 104+ 103- 102- 10 1
2. Seek unknown value. (3 points for each small question, ***6 points)
①320: 18% = 6.5x②
3. Off-type calculation (3 points for each small question, ***9 points)
① +(4 -3 )÷ ② (8 - 10.5× )÷4 ③ 2 ÷[5 -4.5×(20%+ )]
As shown in the figure, the area of parallelogram is 28 square meters. Find the area of the shadow. (Unit: meter, π is 3. 14)(4 points)
Verb (abbreviation of verb) operation problem: (* *14 points)
1, cross the triangle vertex A, draw the height of the bottom BC, and then cross the point A.
Draw parallel lines of BC (4 points)
The picture on the right shows the dining table used by Xiao Ming's family. Please point out that everyone's seat is filled in the circle according to the following requirements:
Xiao Ming and his sister are sitting at one end of the table. My sister sits next to my uncle.
Grandpa sits between his uncle and Xiaoming. Dad sits opposite his uncle.
Mom sits next to dad. (Per grid 1 minute, ***6 points)
3. As shown in the figure, put the squares numbered A, B, C and D along the dotted line in the figure.
After cutting, you get four groups of graphs marked with P, Q, M and N, and try to press "Where?"
What set of figures do you get after cutting a square? Fill in the blanks:
A corresponds to _ _ _ _ _ _ _ _; B corresponds to _ _ _ _ _ _ _ _; C and _ _ _ _ _ _ _ _
Communication; D corresponds to _ _ _ _ _. (4 points)
Draw a school plan on a piece of paper with a length of 28 cm and a width of 18 cm. The campus is 520 meters long from east to west and 320 meters wide from north to south. What scale is appropriate? Sports field length150m. How long should I draw on the map? (5 points)
7. Look at the pictures and fill in the blanks: (2 points for each blank, ***8 points)
According to the information provided on the right, answer the following questions: the green area at the end of the year is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ And in the three years, the green area increased the most in, and the green area in was twice that in;
Step into life and solve problems.
1.A warehouse has 400 tons of grain, and how much grain does warehouse B have? According to the known conditions and problems in the question, find out the corresponding relationship between the following six statements and six formulas and connect them with lines. ) (2 points in each group, *** 12 points)
Warehouse A is more than warehouse A 1400 ÷ (1+), and warehouse A is 4400 × (1+) more than warehouse B.
Warehouse B is 2400× (1-) less than warehouse A, and warehouse A is 5400 ÷ (1-) less than warehouse B.
C warehouse b is ③400÷ F of warehouse A, and warehouse A is ⑥400× of warehouse B.
2. Look at the picture and answer the questions. (3 points for each small question, ***6 points)
┕━━┻━━┻━━┻━━┻━━┻━━┛
( 1) (2)
3. The road construction team will build a road, and it is planned to build105m every day, which will be completed in 450 days. If it is to be completed 30 days in advance, how many meters will it actually be built every day? (solved by equation) (5 points)
Xiaogang's mother bought some oranges. On the first day, Xiaogang ate more than half of these oranges, and the next day, the third day, the last orange. How many oranges did Xiaogang's mother buy? (6 points)
5. For the sake of students' health and safety, the school provides each student with a water cup, with a 10% discount for each water cup in 3 yuan and beautiful homeland, and a supermarket set of "buy eight and get one free". The school wants to buy 180 cups. Please be a "staff officer" and calculate: which is more cost-effective? Please write down your reasons. (6 points)
Check the papers carefully before handing them in.