Cam Van Junior High School

Math Test Grade 8, First Time
Academic year 2025 – 2026
Time: 90 minutes
(The exam has 03 pages)

I. MULTIPLE CHOICE QUESTIONS: (3.0 points – 12 questions)
Choose the best answer for each of the following questions:
Question 1. Dividing the monomial
A.

B.

by the monomial
C.

gives the result:
D.

Question 2. The degree of the polynomial
A. 2

B. 3

C. 4

Question 3. Factorize the polynomial
result:
A.

B.

is
D. 7.
, and you will get the

C.

D.

Question 4. In the expression
monomial in the “...” is
A.

B.

, the missing
C.

D.

Question 5. According to Circular 22/2021/TT-BGDĐT, students' academic results in
each semester and the entire school year are assessed according to 01 (one) of 04 (four)
levels: Good, Fair, Satisfactory, Unsatisfactory.
What type of data is this?
A. Discrete data

B. Data that is not numerical, cannot be sorted.

C. Continuous data

D. Data that is not numerical, can be ordered.

Question 6. Which of the following quadrilates has two equal diagonals?
A. Trapezoid

B. Isosceles trapezoid

C. Parallelogram

D. Rhombus.

Question 7. Which of the following properties does a rectangle NOT possess?
A. Opposite sides are equal.

B. Four angles are equal.

C. The two diagonals are equal.

D. The two diagonals are perpendicular.

Question 8. What additional condition below must a parallelogram satisfy to become a
rhombus?
A. Opposite sides are equal.

B. The two diagonals are equal.

C. The two diagonals are perpendicular.

D. There is a right angle.

Question 9. Given two line segments AB = 2MN and CD = 5MN. The ratio of the two
line segments AB and CD is:
A. 0,4

B. 2,5

C. 0.4MN

D. 3MN.

Question 10. Two line segments AB and CD are proportional to two line segments MN
and PQ. If
A. 2cm

and

, then the length of MN is...

B. 4,5cm

C. 0,5cm

D. 1.5cm.

Question 11. Triangle ABC has DE // AC (D ∈ AB; E ∈ BC). Which of the following
relationships is incorrect?
A.

B.

C.

D.

Question 12. In triangle ABC, BD is the
angle bisector of angle B (see figure). Then
x equals...
A. 3
B. 5
C. 1,4

D. 1,8.

II. TRUE/FALSE QUESTIONS: (2.0 points)
Question 13. Given polynomial
a) Polynomial A has 3 variables.
b) The number of terms in polynomial A is 5.
c) Polynomial A is an uncompressed polynomial.
d) The minimum value of the expression A is

when

.

Question 14. Given triangle ABC. Let M and N be the midpoints of AB and AC
respectively. From N, draw a line parallel to AB intersecting BC at P.
a) MN is the midline of triangle ABC.
b) The length of NP is half the length of AB.
c) Quadrilateral BMNP is a rectangle.

d) Let D be the intersection of MP and BN, and E be the intersection of MC and PN,
that BC = 4DE.
III. SHORT ANSWER QUESTIONS (2.0 points)
Question 15. Determine coefficients and degree the degree of the resulting monomial
2x²y.(-3xy³) ?
Question 16. Write the result of the polynomial multiplication
form

. What is the value of the expression

in the
?

Question 17. Sum of the coefficients in the simplified polynomial of this polynomial

Question 18. What is the greatest value of x that satisfies the equation

?

IV. ESSAY QUESTION (3.0 points)
Question 19. (0,75 points) Factorize the following polynomial:

Question 20. (0,75 points) Lan went to a stationery store to buy 2 pens and 5 notebooks.
Lan gave the store owner 200 000 dong. Write an expression to calculate the change the
store gave Lan, knowing that each pen costs x thousand dong and each notebook costs y
thousand dong.
Question 21. (1,5 points)
a) The roofs of houses, villas, and garden houses are often designed in a triangular shape.
To keep the two roofs securely fixed, wooden beams are used to connect the midpoints M
and N of the two roofs AB and AC (Figure 1). How many meters long should the wooden
beam MN be cut, knowing that the distance between the two lower edges of the roof is
BC = 5m?
b) Mai's house is at position M, Dung's house is at position D (Figure 2), knowing that
quadrilateral ABCD is a rhombus and
. Knowing that the distance from
Mai's house to position I is 500 meters, what is the distance from Dung's house to I?

Figure 1

Figure 2

Cam Van Junior High School

INSTRUCTIONS AND ANSWERS
Math Test Grade 8, First Time
Academic year 2025 – 2026

I. MULTIPLE CHOICE QUESTIONS: (3.0 points – 12 questions)
Each question is worth 0.25 points.
Questio
n
Answers

1

2

3

4

5

6

7

8

9

10

11

12

A

B

B

A

D

B

D

D

A

B

A

D

II. TRUE/FALSE QUESTIONS: (2.0 points)
4 correct answers – 1,0 points
3 correct answers – 0,75 points
2 correct answers – 0,25 points
1 correct answers – 0,1 points
Question
Answers

13a
S

13b
S

13c
S

13d
Đ

14a
Đ

III. SHORT ANSWER QUESTIONS (2.0 points)
Each question is worth 0.5 points.
Question
Answers

15

16
6

17

IV. ESSAY QUESTION (3.0 points)

18

14b
Đ

14c
S

14d
Đ

Question

Answers

0,5

19

20

Points

0,25
The money spent on pens: 2x (thousand dong)

0,25

The money spent on notebooks: 5y (thousand dong)

0,25

Expression to calculate the change the store gave Lan:

0,25

( thousand dong)
a) MN is the midline of triangle ABC.

0,5
0,25

b) Because

0,25

, so

0,25

21

( quadrilateral ABCD is a rhombus)
( Because

)

The distance from Dung's house to I is
Trang: 4,35
Nguyệt;3,85
Duyên: 4,35
Dương: 5,1
Huyền: 5,1
Hiển: 5,5
Đại 5,6
Hải Long: 5,6

0,25