Bộ 5 đề ôn tập hè Toán 7 có đáp án năm 2021 Trường THCS Nguyễn Trãi

To help you have more references. Blog Tiền Điện Tử compiled Set of 5 summer review questions for Math 7 with answers in 2021 Nguyen Trai Secondary School help them review the knowledge they have learned and prepare well for the new school year. We invite you lớn consult.

SCHOOL NGUYEN TRAI Secondary School

GRADE 7 REVIEW TOPIC OF 2021

MATH

(Time lớn do all 90 minutes)

Topic 1

Question 1: (1.0 point) The test scores for one math period of a 7th grader at a secondary school are given in the following frequency table:

Scores (x)

3

4

5

6

7

8

9

ten

Frequency (n)

first

2

7

8

5

11

4

2

N = 40

a) What is the sign of investigation here?

b) How many different values ​​does the sign have? Find fashion.

Verse 2: (2.0 points)

a) Reduce the monomial A. Determine the coefficient part and find the degree of the reduced monomial, given:

(A=left( -frac{3}{4}{{x}^{2}}{{y}^{5}}{{z}^{3}} right)left( frac{5}{3}{{x}^{3}}{{y}^{4}}{{z}^{2}} right))

b) Calculate the value of the expression (C=3{{x}^{2}}y-xy+6) at x = 2, y = 1.

Question 3: (2.0 points) Given two polynomials: (Mleft( x right)=3{{x}^{4}}-2{{x}^{3}}+{{x}^{2}}+4x- 5); (Nleft( x right)=2{{x}^{3}}+{{x}^{2}}-4x-5)

a) Calculate (M(x)+N(x)).

b) Find the polynomial P(x) know :P(x) + N(x) = M(x)

Question 4: (1.0 point) Find the solutions of the following polynomials:

a) (g(x)=x-frac{1}{7})

b) (h(x)=2x+5)

Question 5: (1.0 point) Find m so that the polynomial(f(x)=left( m-1 right){{x}^{2}}-3mx+2) has a solution x = 1.

…………

ANSWER

Question 1

a) Signs of investigation: “Test score of 1 math class for each 7th grade student”

b) There are 8 different values. The fashion of the sign is 8

Verse 2

a) (A=left( -frac{3}{4}{{x}^{2}}{{y}^{5}}{{z}^{3}} right)left ( frac{5}{3}{{x}^{3}}{{y}^{4}}{{z}^{2}} right)=-frac{5}{4}{ {x}^{5}}{{y}^{9}}{{z}^{5}})

Coefficient: (-frac{5}{4}) The degree of monomial A is 19

b) Replace x = 2; y = 1 into the expression (C=3{{x}^{2}}y-xy+6) we get:

(C={{3.2}^{2}}.1-2.1+6=16)

Sentence 3

a) (Mleft( x right)=3{{x}^{4}}-2{{x}^{3}}+{{x}^{2}}+4x-5) ; (Nleft( x right)=2{{x}^{3}}+{{x}^{2}}-4x-5)

(Mleft( x right)+N(x)=3{{x}^{4}}+left( -2{{x}^{3}}+2{{x}^{3 }} right)+left( {{x}^{2}}+{{x}^{2}} right)+left( 4x-4x right)+left( -5-5 right))

(=3{{x}^{4}}+2{{x}^{2}}-10)

b) (Pleft( x right)=Mleft( x right)-Nleft( x right)=3{{x}^{4}}-4{{x}^{3 }}+8x)

……….

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

Topic 2

A. MULTIPLE-CHOICE (2 points)

Please choose the best answer option.

Question 1: The Math test scores of a group of students are given by the following table:

8

9

7

ten

5

7

8

7

9

8

5

7

4

9

4

7

5

7

7

3

a) The number of different values ​​of the sign is:

A. 20

B. ten

C. 8

D. 7

b) The pattern of signs is:

A. ten

B. 7

C. 4

D. 3

c) The average number of signs is:

A. 6.8

B. 6.6

C. 6.7

D. 6.5

Verse 2: Which of the following is similar lớn the monomial $-3x{{y}^{2}}$ ?

A. (-3{{x}^{2}}y)

B. (3{{x}^{2}}{{y}^{2}})

C. (-x{{y}^{2}})

D. (-3xy)

Question 3: The triangle ABC has (widehat{text{A}}={{60}^{0}}), (widehat{text{B}}={{50}^{0}} ). The measure of angle C is:

A. 500

B. 700

C. 800

D. 900

Question 4: Given triangle ABC, right angled at A, AB = 3cm and AC = 4cm, the length of side BC is:

A. 5 centimet

B. 7 centimet

C. 6 centimet

D. 14 centimet

Question 5: If AM is the median and G is the centroid of triangle ABC, then:

A. (AM=AB)

B. (AG=frac{2}{3}AM)

C. (AG=frac{3}{4}AB)

D. (AM=AG)

Question 6: Given triangle ABC is isosceles at A, then the median line from vertex A is also:

A. Bisectrix.

B. Midperpendiculars.

C. High road.

D. Bisectors, altitudes, and medians.

………

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

Topic 3

I.MULTIPLE-CHOICE : (3 points) Choose the answer you think is the most correct:

Question 1: Which of the following monomial is similar lớn the monomial (-3x{{y}^{2}})

A. (-3{{x}^{2}}y)

B. ((-3xy){{y}^{{}}})

C. (-3{{(xy)}^{2}})

D. (-3xy)

Verse 2: The monomial (-frac{1}{3}{{y}^{2}}{{z}^{4}}9{{x}^{3}}y) has degree :

A. 6

B. 8

C. 10

D. 12

Question 3: The degree of polynomial (Q={{x}^{3}}-7{{x}^{4}}y+x{{y}^{3}}-11) is :

A. 7

B. 6

C. 5

D. 4

Question 4: The value x = 2 is the solution of the polynomial:

A. (fleft( x right)=2+x)

B. (fleft( x right)={{x}^{2}}-2)

C. (fleft( x right)=x-2)

D.(fleft( x right)=xleft( x-2 right))

Question 5: Calculation result (-5{{x}^{2}}{{y}^{5}}-{{x}^{2}}{{y}^{5}}+2{{x) }^{2}}{{y}^{5}} )

A. (-3{{x}^{2}}{{y}^{5}})

B.(8{{x}^{2}}{{y}^{5}})

C.(4{{x}^{2}}{{y}^{5}})

D. (-4{{x}^{2}}{{y}^{5}})

Verse 6. Expression value 3x2y + 3y2x in x = 2 and y = 1 is:

A. 12

B. 9

C. 18

D. 18

Verse 7. Simplify the monomial P = x3y – 5xy3 + 2 x3y + 5 xy3 equal :

A. 3 x3y

B. x3y

C. x3y + 10 xy3

D. 3 x3y 10xy3

Verse 8. Which of the following is a solution of the polynomial f(x) = (frac{2}{3})x + 1 :

A. (frac{2}{3})

B. (frac{3}{2})

C. (frac{3}{2})

D. -(frac{2}{3})

Verse 9: Polynomial g(x) = x2 + 1

A.No solution

B. The solution is first

C. Has a solution of 1

D. There are 2 solutions

Question 10: If the lengths of two consecutive sides of a right angle are 3cm and 4cm, the hypotenuse is:

A.5

B. 7

C. 6

D. 14

……….

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

Topic 4

I.MULTIPLE-choice: (3 points)

Write on the test only one capital letter in front of the correct answer.

Question 1: The point on the graph of the function y=2x-1 is:

A. (left( -frac{1}{2};0 right))

B. (left( frac{1}{2};0 right))

C. (0;1)

D. (1;-1)

Verse 2: The value of the expression 2x-3y at x=-1; y=-2 is:

A. 4

B. -8

C. -4

D. -1

Question 3: Product (left( frac{1}{4}{{x}^{4}} right)left( -2{{x}^{4}}{{y}^{6}} right)) equals:

A. (frac{1}{2}{{x}^{8}}{{y}^{7}})

B. (-frac{1}{2}{{x}^{8}}{{y}^{6}})

C. (-frac{1}{2}{{x}^{16}}{{y}^{6}})

D. (-frac{1}{2}{{x}^{8}}{{y}^{7}})

Question 4: Finding x knowing (left| x-2 right|=3) we get the following results:

A. x=-5; x=1

B. x=-1

C. x=5; x=-1

D. x=5

II. Essay: (7 points).

Question 5:

a) Graph the function y=-2x.

b) Calculate the value of the expression (9{{a}^{2}}-2b-10) at (a=-frac{1}{3};b=-3)

Question 6: Let ABC be an isosceles triangle at A. On the opposite ray of BC take point M, on the opposite ray of CB take point N such that BM=CN. Draw (BHbot AM(Hin AM)), (CKbot AN(Kin AN)). Prove that:

a) Isosceles triangle AMN

b) MH=KN

c) HK//MN

………

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

Topic 5

Lesson 1 (2.0 points): Grade 7A students’ test scores for 1 class of algebra are recorded as follows:

6 4 9 7 8 8 4 8 8 10

10 9 8 7 7 6 6 8 5 6

4 9 7 6 6 7 4 10 9 8

a) Make a frequency table.

b) Calculate the average and find the mode of the sign.

Lesson 2 (1.5 points) Given the monomial (P=left( frac{2}{3}{{x}^{2}}y right)left( frac{9}{2}xy right))

a) Reduce and determine the coefficient, variable part, degree of the polynomial P.

b) Calculate the value of P at x = -1 and y = 2.

lesson 3 (1.5 points): OLDfor the following two polynomials: A(x) = 4x3 – 7x2 + 3x – 12; B(x) = – 2x3 + 2x2 + 12 + 5x2 – 9x

a) Reduce and sort the polynomial B(x) according lớn the decreasing power of the variable.

b) Calculate A(x) + B(x) and B(x) – A(x)

Lesson 4 (1.5 points): Find the solutions of the following polynomials:

a) M(x) = 2x – 6

b) N(x) = x2 + 2x + 2015

ANSWER

Lesson 1

a) Make the correct frequency table:

Value (x)

4

5

6

7

8

9

ten

Frequency (n)

4

first

6

5

7

4

3

N = 30

b) (overline{X}=frac{4.4+5.1+6.6+7.5+8.7+9.4+10.3}{30}=) (frac{214}{30})(approx )7.13

USA0 = 8

Lesson 2

a) (P=left( frac{2}{3}{{x}^{2}}y right)left( frac{9}{2}xy right)) = 3x3y2

Coefficient: 3

Variable part: x3y2

Degree of polynomial: 5

b) At x = -1 and y = 2.

P = 3.(-1)3.22 = -12

……….

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

The above is part of the document content Set of 5 summer review questions for Math 7 with answers in 2021 Nguyen Trai Secondary School. To see more useful references, you can choose lớn watch trực tuyến or log in lớn hoc247.net lớn download documents lớn your computer.

We hope that this document will help students lớn review well and achieve high academic achievement.

You can also check out some other resources from the same topic here:

  • Set of 5 summer review questions for Math 6 with answers in 2021 Thai Thinh Secondary School
  • Set of 5 summer review questions for Math 6 with answers in 2021 Duc Thang Secondary School

Good luck with your studies!

.


Thông tin thêm về Bộ 5 đề ôn tập hè Toán 7 có đáp án năm 2021 Trường THCS Nguyễn Trãi

To help you have more references. Blog Tiền Điện Tử compiled Set of 5 summer review questions for Math 7 with answers in 2021 Nguyen Trai Secondary School help them review the knowledge they have learned and prepare well for the new school year. We invite you lớn consult.

SCHOOL NGUYEN TRAI Secondary School

GRADE 7 REVIEW TOPIC OF 2021

MATH

(Time lớn do all 90 minutes)

Topic 1

Question 1: (1.0 point) The test scores for one math period of a 7th grader at a secondary school are given in the following frequency table:

Scores (x)

3

4

5

6

7

8

9

ten

Frequency (n)

first

2

7

8

5

11

4

2

N = 40

a) What is the sign of investigation here?

b) How many different values ​​does the sign have? Find fashion.

Verse 2: (2.0 points)

a) Reduce the monomial A. Determine the coefficient part and find the degree of the reduced monomial, given:

(A=left( -frac{3}{4}{{x}^{2}}{{y}^{5}}{{z}^{3}} right)left( frac{5}{3}{{x}^{3}}{{y}^{4}}{{z}^{2}} right))

b) Calculate the value of the expression (C=3{{x}^{2}}y-xy+6) at x = 2, y = 1.

Question 3: (2.0 points) Given two polynomials: (Mleft( x right)=3{{x}^{4}}-2{{x}^{3}}+{{x}^{2}}+4x- 5); (Nleft( x right)=2{{x}^{3}}+{{x}^{2}}-4x-5)

a) Calculate (M(x)+N(x)).

b) Find the polynomial P(x) know :P(x) + N(x) = M(x)

Question 4: (1.0 point) Find the solutions of the following polynomials:

a) (g(x)=x-frac{1}{7})

b) (h(x)=2x+5)

Question 5: (1.0 point) Find m so that the polynomial(f(x)=left( m-1 right){{x}^{2}}-3mx+2) has a solution x = 1.

…………

ANSWER

Question 1

a) Signs of investigation: “Test score of 1 math class for each 7th grade student”

b) There are 8 different values. The fashion of the sign is 8

Verse 2

a) (A=left( -frac{3}{4}{{x}^{2}}{{y}^{5}}{{z}^{3}} right)left ( frac{5}{3}{{x}^{3}}{{y}^{4}}{{z}^{2}} right)=-frac{5}{4}{ {x}^{5}}{{y}^{9}}{{z}^{5}})

Coefficient: (-frac{5}{4}) The degree of monomial A is 19

b) Replace x = 2; y = 1 into the expression (C=3{{x}^{2}}y-xy+6) we get:

(C={{3.2}^{2}}.1-2.1+6=16)

Sentence 3

a) (Mleft( x right)=3{{x}^{4}}-2{{x}^{3}}+{{x}^{2}}+4x-5) ; (Nleft( x right)=2{{x}^{3}}+{{x}^{2}}-4x-5)

(Mleft( x right)+N(x)=3{{x}^{4}}+left( -2{{x}^{3}}+2{{x}^{3 }} right)+left( {{x}^{2}}+{{x}^{2}} right)+left( 4x-4x right)+left( -5-5 right))

(=3{{x}^{4}}+2{{x}^{2}}-10)

b) (Pleft( x right)=Mleft( x right)-Nleft( x right)=3{{x}^{4}}-4{{x}^{3 }}+8x)

……….

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

Topic 2

A. MULTIPLE-CHOICE (2 points)

Please choose the best answer option.

Question 1: The Math test scores of a group of students are given by the following table:

8

9

7

ten

5

7

8

7

9

8

5

7

4

9

4

7

5

7

7

3

a) The number of different values ​​of the sign is:

A. 20

B. ten

C. 8

D. 7

b) The pattern of signs is:

A. ten

B. 7

C. 4

D. 3

c) The average number of signs is:

A. 6.8

B. 6.6

C. 6.7

D. 6.5

Verse 2: Which of the following is similar lớn the monomial $-3x{{y}^{2}}$ ?

A. (-3{{x}^{2}}y)

B. (3{{x}^{2}}{{y}^{2}})

C. (-x{{y}^{2}})

D. (-3xy)

Question 3: The triangle ABC has (widehat{text{A}}={{60}^{0}}), (widehat{text{B}}={{50}^{0}} ). The measure of angle C is:

A. 500

B. 700

C. 800

D. 900

Question 4: Given triangle ABC, right angled at A, AB = 3cm and AC = 4cm, the length of side BC is:

A. 5 centimet

B. 7 centimet

C. 6 centimet

D. 14 centimet

Question 5: If AM is the median and G is the centroid of triangle ABC, then:

A. (AM=AB)

B. (AG=frac{2}{3}AM)

C. (AG=frac{3}{4}AB)

D. (AM=AG)

Question 6: Given triangle ABC is isosceles at A, then the median line from vertex A is also:

A. Bisectrix.

B. Midperpendiculars.

C. High road.

D. Bisectors, altitudes, and medians.

………

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

Topic 3

I.MULTIPLE-CHOICE : (3 points) Choose the answer you think is the most correct:

Question 1: Which of the following monomial is similar lớn the monomial (-3x{{y}^{2}})

A. (-3{{x}^{2}}y)

B. ((-3xy){{y}^{{}}})

C. (-3{{(xy)}^{2}})

D. (-3xy)

Verse 2: The monomial (-frac{1}{3}{{y}^{2}}{{z}^{4}}9{{x}^{3}}y) has degree :

A. 6

B. 8

C. 10

D. 12

Question 3: The degree of polynomial (Q={{x}^{3}}-7{{x}^{4}}y+x{{y}^{3}}-11) is :

A. 7

B. 6

C. 5

D. 4

Question 4: The value x = 2 is the solution of the polynomial:

A. (fleft( x right)=2+x)

B. (fleft( x right)={{x}^{2}}-2)

C. (fleft( x right)=x-2)

D.(fleft( x right)=xleft( x-2 right))

Question 5: Calculation result (-5{{x}^{2}}{{y}^{5}}-{{x}^{2}}{{y}^{5}}+2{{x) }^{2}}{{y}^{5}} )

A. (-3{{x}^{2}}{{y}^{5}})

B.(8{{x}^{2}}{{y}^{5}})

C.(4{{x}^{2}}{{y}^{5}})

D. (-4{{x}^{2}}{{y}^{5}})

Verse 6. Expression value 3x2y + 3y2x in x = 2 and y = 1 is:

A. 12

B. 9

C. 18

D. 18

Verse 7. Simplify the monomial P = x3y – 5xy3 + 2 x3y + 5 xy3 equal :

A. 3 x3y

B. x3y

C. x3y + 10 xy3

D. 3 x3y 10xy3

Verse 8. Which of the following is a solution of the polynomial f(x) = (frac{2}{3})x + 1 :

A. (frac{2}{3})

B. (frac{3}{2})

C. (frac{3}{2})

D. -(frac{2}{3})

Verse 9: Polynomial g(x) = x2 + 1

A.No solution

B. The solution is first

C. Has a solution of 1

D. There are 2 solutions

Question 10: If the lengths of two consecutive sides of a right angle are 3cm and 4cm, the hypotenuse is:

A.5

B. 7

C. 6

D. 14

……….

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

Topic 4

I.MULTIPLE-choice: (3 points)

Write on the test only one capital letter in front of the correct answer.

Question 1: The point on the graph of the function y=2x-1 is:

A. (left( -frac{1}{2};0 right))

B. (left( frac{1}{2};0 right))

C. (0;1)

D. (1;-1)

Verse 2: The value of the expression 2x-3y at x=-1; y=-2 is:

A. 4

B. -8

C. -4

D. -1

Question 3: Product (left( frac{1}{4}{{x}^{4}} right)left( -2{{x}^{4}}{{y}^{6}} right)) equals:

A. (frac{1}{2}{{x}^{8}}{{y}^{7}})

B. (-frac{1}{2}{{x}^{8}}{{y}^{6}})

C. (-frac{1}{2}{{x}^{16}}{{y}^{6}})

D. (-frac{1}{2}{{x}^{8}}{{y}^{7}})

Question 4: Finding x knowing (left| x-2 right|=3) we get the following results:

A. x=-5; x=1

B. x=-1

C. x=5; x=-1

D. x=5

II. Essay: (7 points).

Question 5:

a) Graph the function y=-2x.

b) Calculate the value of the expression (9{{a}^{2}}-2b-10) at (a=-frac{1}{3};b=-3)

Question 6: Let ABC be an isosceles triangle at A. On the opposite ray of BC take point M, on the opposite ray of CB take point N such that BM=CN. Draw (BHbot AM(Hin AM)), (CKbot AN(Kin AN)). Prove that:

a) Isosceles triangle AMN

b) MH=KN

c) HK//MN

………

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

Topic 5

Lesson 1 (2.0 points): Grade 7A students’ test scores for 1 class of algebra are recorded as follows:

6 4 9 7 8 8 4 8 8 10

10 9 8 7 7 6 6 8 5 6

4 9 7 6 6 7 4 10 9 8

a) Make a frequency table.

b) Calculate the average and find the mode of the sign.

Lesson 2 (1.5 points) Given the monomial (P=left( frac{2}{3}{{x}^{2}}y right)left( frac{9}{2}xy right))

a) Reduce and determine the coefficient, variable part, degree of the polynomial P.

b) Calculate the value of P at x = -1 and y = 2.

lesson 3 (1.5 points): OLDfor the following two polynomials: A(x) = 4x3 – 7x2 + 3x – 12; B(x) = – 2x3 + 2x2 + 12 + 5x2 – 9x

a) Reduce and sort the polynomial B(x) according lớn the decreasing power of the variable.

b) Calculate A(x) + B(x) and B(x) – A(x)

Lesson 4 (1.5 points): Find the solutions of the following polynomials:

a) M(x) = 2x – 6

b) N(x) = x2 + 2x + 2015

ANSWER

Lesson 1

a) Make the correct frequency table:

Value (x)

4

5

6

7

8

9

ten

Frequency (n)

4

first

6

5

7

4

3

N = 30

b) (overline{X}=frac{4.4+5.1+6.6+7.5+8.7+9.4+10.3}{30}=) (frac{214}{30})(approx )7.13

USA0 = 8

Lesson 2

a) (P=left( frac{2}{3}{{x}^{2}}y right)left( frac{9}{2}xy right)) = 3x3y2

Coefficient: 3

Variable part: x3y2

Degree of polynomial: 5

b) At x = -1 and y = 2.

P = 3.(-1)3.22 = -12

……….

—(To see more content of the exam, please check it trực tuyến or log in lớn download it)—

The above is part of the document content Set of 5 summer review questions for Math 7 with answers in 2021 Nguyen Trai Secondary School. To see more useful references, you can choose lớn watch trực tuyến or log in lớn hoc247.net lớn download documents lớn your computer.

We hope that this document will help students lớn review well and achieve high academic achievement.

You can also check out some other resources from the same topic here:

  • Set of 5 summer review questions for Math 6 with answers in 2021 Thai Thinh Secondary School
  • Set of 5 summer review questions for Math 6 with answers in 2021 Duc Thang Secondary School

Good luck with your studies!

.

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