The seventh grade mathematics first volume review examination paper (1)

Mathematical simulation test at the end of the seventh grade last semester

First, fill in patiently (3 points for each small question, 30 points for * * *).

The distance between 1.-3 and -8 is _ _ _ _ _ _ _.

2. Cut out a small square from the geometric figure shown in the figure, so that the rest can be folded into a cube, and the square to be cut out is _ _ _ _ _ _ _.

3. The number whose square is 0.8 1 is _ _ _ _ _, and the number whose cube is -64 is _ _ _ _ _ _ _ _.

At the commendation meeting of "civilized students" in the school, each of the six winners shook hands to congratulate them, so they shook hands _ _ _ _ _ times. If there are n winners, the number of times they shake hands is _ _ _ _ _ _ _.

5. There are five straight lines intersecting (not parallel to each other) on the plane, so these five straight lines have at least _ _ _ _ _ _ _ _ _.

6. The radius of the sun is 696,000,000 meters, which is expressed by scientific symbols as _ _ _ _ _ _ _ _ meters.

7. There are five red balls, six white balls and 10 black balls in the bag. Choose the color to touch in advance. If the color of the ball you touch is the same as the pre-selected color, you win, otherwise you fail. In order to win as much as possible, you should choose colors in advance.

8. When x = _ _ _ _ _ _ the algebraic expression 2x+8 is equal to the algebraic expression 5x-4.

9. A store will increase the cost price of a certain garment by 40% and then price it, and then sell it at a 20% discount. As a result, each garment still makes a profit 15 yuan, so the cost price of each garment is _ _ _ _ _ _ _.

10. The actual meaning of algebraic expression 3a+2 is _ _ _ _ _ _ _ _.

Second, choose one carefully (3 points for each small question, 30 points for * * *)

1 1. The sum of all integers whose absolute value is less than 10 1 is ().

0 (B) 100 (C)5050 (D)200

12. The point representing the integer on the number axis is the whole point, and the unit length on the number axis is 1 cm. If a wooden stick AB with a length of 2005 cm is randomly placed on this axis, the number of whole points covered by the wooden stick AB is ().

(A)2003 or 2004

13. As shown in the figure, a cell divides from 1 to 2 in 30 minutes. If this cell divides from 1 to 16, then this process will go through ().

1.5 hours; (B)2 hours; (C)3 hours; 4 hours

14. Cut a geometric figure with a plane, but the () section cannot be a triangle.

(a) Pentagonal prism (b) Quadrangular prism (c) Conical cylinder (d)

15. Build a pattern with a matchstick as shown in the figure below. The number of matchsticks needed to build the nth pattern is ().

(A)5n(B)4n+ 1(C)4n(D)5n- 1

16. Take three points A, B and C in turn on a straight line, so that AB=9cm and BC=4cm. If point O is the midpoint of line segment AC, the length of OB is ().

(a) 2.5cm (b)1.5cm (c) 3.5cm (d) 5cm.

17. When the minute hand points to 12, the hour hand just forms an angle of120 with the minute hand, which is ().

(A)9 o'clock (B)8 o'clock (C)4 o'clock (D)8 o'clock or 4 o'clock.

18. If you have 1 10,000 playing cards, the thickness of each card is the same, which is 0.5mm. Stack these cards neatly, which is roughly equivalent to the number of floors of a 5-meter-high building ().

(A) 10 floor (B)20 floor (C) 100 floor (D) 1000 floor.

19. In a deck of playing cards, wash and pick one at random. The following statement is wrong ()

(1) The possibility of winning the king is the same as the possibility of winning the heart 3.

(b) It is more likely to draw spades than kings.

(d) It is more likely to get an A than Xiao Wang.

20. Xiaoming went to the bank and deposited the principal 1 000 yuan as a one-year time deposit. After the expiration, Xiao Ming took 1, 0 18 yuan after tax. Suppose the interest tax rate is 20% and the one-year deposit rate is ().

(A)2.25% (B)4.5% (C)22.5% (D)45%

Third, think carefully (each small question 10, ***60)

2 1. Drawing with grid paper:

(1) under the grid paper, draw CD‖AB through point C, and draw CE ⊥ AB through point C in E;

(2) Draw a square CFGH with CF as one side. If the area of each cell is 1cm2, what is the area of the square CFGH?

22. As shown in the figure, this is a top view of a geometry composed of small cubes. The number of small squares indicates the number of small cubes at this position. Please draw a front view and a left view.

23. A food factory produced 20 tins of canned food to check the quality. A positive number indicates that the quality exceeds the standard, and a negative number indicates that the quality is unqualified. The results are recorded in the following table:

Compared with the standard quality

Deviation (unit: gram)-10-50+5+10+15

Listening comprehension 4 2 4 7 2 1

Is the average quality of this batch of cans more or less than the standard quality? How many grams?

24. The speed of sound propagation in air (hereinafter referred to as the speed of sound) has a certain relationship with temperature. The following table lists the speed of sound at different temperatures:

Temperature (℃) 0.51015 20

Sonic speed (m/s) 33 1 334 337 340 343

(1) Let the air temperature be x℃, and express the sound speed with an algebraic expression containing X;

(2) If the temperature is 18℃ and someone sees fireworks for 5 seconds before hearing the sound, what is the distance between this person and the place where the fireworks are set off (the speed of light is very high, and the time from the place where the light is set off to the human eye can be ignored)?

25. A laid-off worker opened a snack bar on the roadside last Sunday and made money in 20 yuan. The following table shows the income changes of snack bars from Monday to Friday this week (income is mostly positive, income is less negative).

Monday, Tuesday, Wednesday, Thursday and Friday.

Change income value

(Compared with the previous day)+10 -5 -3 +6 -2

(1) Calculate the income of the store on Friday;

(2) What is the average income of the store in these five days?

(3) Please show the income of our store in the past five days with a broken line statistical chart. Observe the broken line statistical chart and write the correct conclusion.

26. Solving application problems with equations: It is stipulated in a certain place that the agricultural output value per mu is calculated at the price of 750 kg per mu 1. 1 yuan. The annual output value multiplied by the agricultural tax rate is the payable agricultural tax, and the "agricultural surtax" is also paid at 20% of the agricultural tax (the "agricultural surtax" is mainly used for the normal operation of village-level organizations).

(1) Last year, the agricultural tax rate was 7%, and Uncle Wang planted 10 mu of rice, so how much agricultural tax and agricultural surcharges should he pay?

(2) This year, the state reduced the agricultural tax rate in order to reduce the burden on farmers, encourage grain production, and directly subsidized the 20 yuan per mu of water dance (tax deduction). Uncle Wang still planted 10 mu of rice this year. He said happily, "If this is reduced, this year will pay 497 yuan less than last year." Would you please check the agricultural tax rate in this area this year?

Reference answer

1. 1.5 2. 1 or 2 or 63. 0.9，-4. 15，n (n+ 1) 5. 10， 1 6.6× 16。

Second, 1 1. A 12。 C 13。 B 14。 D 15。 B 16。 A 17。 D 18.C65438。

3.2 1.( 1) omitted; (2) Sketch, area 10cm2 ..

22.

23.[- 10×4+(-5)×2+0×4+5×7+ 10×2+ 15× 1]÷20 = 1(g)。

Answer: The average quality of this batch of canned goods exceeds the standard quality, more than1g.

24.( 1) The sound speed is: x+33 1 (m/s);

(2) When x= 18, x+331= 341.8,341.8× 5 =1709 (m).

So the distance from this person to the place where fireworks are set off is 1709 meters.

25. (1) 20+10-5-3+6-2 = 26 (yuan);

(2)(30+25+22+28+26)÷5=26.2 yuan;

(3) Drawing statistical charts of broken lines (omitted).

Correct conclusion: The highest income in these five days is 30 yuan on Monday.

26. ①10× 750×1.1× 7% (1+20%) = 693 yuan;

(2) If the agricultural tax rate is x% this year, then

10×750× 1. 1×x %( 1+20%)- 10×20 = 693-497。

X=4 is obtained by solving.

Mid-term examination paper of seventh grade mathematics in 2007

(The full mark of this volume is 100, and the completion time is 90 minutes)

Name: Achievements:

1. Fill in the blanks (this big question * *, a total of 15 questions, 2 points for each question, out of 30 points).

1, as shown in the figure: the number whose distance from point A on the number axis is equal to 5 is.

2. It is correct to round 3. 14 15926 to one thousandth. If 302400 is expressed by scientific notation, it should be recorded as about 3.0× accurate to one decimal place.

3. It is known that the circumference of a circle is 50, and the radius of the circle is expressed by an algebraic expression containing π, which should be.

4. Each pencil is worth 1000000 yuan. After Xiao Ming bought n pencils with10 yuan, there was still RMB left.

5. When a =-2, the value of algebraic expression is equal to.

6. The algebraic expression 2x3Y2+3x2Y- 1 is a second-order term.

7. If 4amb2 and abn are similar terms, then m+n=.

8. Polynomials 3x3y- xy3+x2y2+y4+Y4 are arranged in ascending order by the letter X.

9. If it is ∣x-2∣= 1, then it is ∣x- 1∣=.

10, calculation: (a- 1)-(3a2-2a+ 1) =.

1 1. Calculate with a calculator (keep 3 significant figures): =.

12, Blackjack Game: Use the following numbers to score 24 points (each number can only be used once).

2, 6, 7, 8. Formula.

13, calculation: (-2a)3 =.

14, calculation: (x2+x- 1)? (-2x)= .

15. Observe the rule and calculate: (2+1) (22+1) (24+1) (28+1) =. The calculator doesn't work, and the result is in the form of power. )

Second, the choice (this big topic * * * a total of 4 questions, each question 2 points, out of 8 points)

16, the following statement is correct .................................................. ()

(A)2 is not algebraic; (b) it is a single item.

The linear coefficient of (c) is 1 (D) 1 is a monomial.

17. The following merged similar projects are correct ....................................................................... ()

(A)2a+3a = 5(B)2a-3a =-A(C)2a+3b = 5ab(D)3a-2b = ab

18, the following set of numbers arranged according to the law: 1, 2, 4, 8, 16, ..., No.2002 should be ().

A, b,-1 C, d, the above answers are incorrect.

19. If we know that A and B are reciprocal, and X and Y are reciprocal, then algebraic expression.

The value of |a+b|-2xy is ().

A.0b-2 c.-1d. cannot be determined.

Iii. Answer: (This big question is * * *, with a total of 4 questions, with 6 points for each question, out of 24 points).

20. Calculation: x+ +5

2 1, evaluation: (x+2) (x-2) (x2+4)-(x2-2) 2, where x =-

22. It is known that a is the smallest positive integer. Try to find the value of the following algebraic expression: (4 points for each small question, *** 12 points)

( 1)

(2) ;

(3) By (1), (2) What did you find or think of?

23. Given that a = 2x2-x+ 1, a-2b = x- 1, find b.

Four, the application problem (this big problem * * * has five questions, 24, 25 each question 7 points, 26, 27, 28 each question 8 points, out of 38 points)

24. It is known (as shown in the figure) that the side length of square ABCD is B, and the side length of square DEFG is A.

Find the area of (1) trapezoidal ADGF.

(2) the area of triangle AEF

(3) Area of triangular AFC

25. Known (as shown in the figure): use four right-angled triangles with base B, height A and hypotenuse C.

Make a square and find the area of the small square in the center of the figure. You can find it easily.

The area of the solution (1) small square =

Solution (2) Area of small square =

By solving (1) and (2), we can get the relationship between a, b and c as follows:

26. It is understood that the taxi charging standards in our city are as follows: if the mileage does not exceed five kilometers, 5 yuan will be charged; If the mileage exceeds 5 kilometers, the excess part will be charged at 1.2 yuan per kilometer except 5 yuan.

(1) If someone travels by taxi for x kilometers (x >: 5), how much should he pay? (Column Algebra) (4 points)

(2) A tourist takes a taxi from Xinghua to Shagou and pays 4 1 yuan. Try to estimate how many kilometers it is from Xinghua to Shagou. (4 points)

27, the members of the first team and the second team get together. There are m people in the first team, and the second team has two more people than the first team. If each member of two teams gives a gift to each member of the other team.

Q: (1) The total number of gifts given by all players. (represented by the algebraic expression of m)

(2) When m= 10, how many gifts are given?

28. The price of a commodity in 1998 is 5% higher than that in 1997, while the price in 1999 is higher than that in 1998, and the price in 2000 was lower than that in 1999. So, in 2000, compared with 1997, was it price increase or price decrease? What is the percentage of price increase or decrease?

In 2006, the first semester, the first grade, the mid-term exam.

Mathematics test paper answer

1. 1, 2, 10-Mn 3, -54,-1, 2 5, 5, 3, 6, 3

7、3x3y+x2y2- xy3 +y4 8、0、2 9 、-3a2+3a-2 10 、-a6

1 1 、-x8 12 、-8a3 13 、-2x3-x2+2x 14、4b2-a2 15、2 16- 1

2. 16, D 17, B 18, B 19, d.

Three. 20. Original formula = x+ +5 (1')

= x+ +5 ( 1 ')

= x+4x-3y+5 ( 1 ')

= 5x-3y+5 (2 ')

2 1, the original formula = (x2-4) (x2+4)-(x4-4x2+4) (1')

= x4- 16-x4+4x2-4 ( 1 ')